From 44c8fe220ab5e016a50628210a16ad42f64d9c8a Mon Sep 17 00:00:00 2001 From: Tom Mauch Date: Tue, 30 Jul 2024 11:35:34 +1000 Subject: [PATCH 1/9] Update index.qmd --- index.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/index.qmd b/index.qmd index 174b5b1..d326cb4 100644 --- a/index.qmd +++ b/index.qmd @@ -12,7 +12,7 @@ This course is aimed at researchers, students, and industry professionals who wa ## Trainers * Kristian Maras (Kris) (MSc Mathematics / Ba Commerce) -* Thomas Mauch (Thomas) (PhD in astronomy) +* Thomas Mauch (Tom) (PhD in astronomy) * Nathaniel (Nate) Butterworth (PhD Computational Geophysics) From cd3e4aba96cc3271a89280f5decfb4e1af20e44b Mon Sep 17 00:00:00 2001 From: Tom Mauch Date: Tue, 30 Jul 2024 11:42:28 +1000 Subject: [PATCH 2/9] Update main.yml --- .github/workflows/main.yml | 3 +++ 1 file changed, 3 insertions(+) diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml index 3d74997..c5fd102 100644 --- a/.github/workflows/main.yml +++ b/.github/workflows/main.yml @@ -31,6 +31,9 @@ jobs: tinytex: true # r-version: 4.2.1 + - name: Render Quarto Project + uses: quarto-dev/quarto-actions/render@v2 + - name: Publish to GitHub Pages (and render) uses: quarto-dev/quarto-actions/publish@v2 with: From d39ebb6b5aeb5587de3b6e38b580e6ffc01929c8 Mon Sep 17 00:00:00 2001 From: Tom Mauch Date: Tue, 30 Jul 2024 11:47:59 +1000 Subject: [PATCH 3/9] Update main.yml --- .github/workflows/main.yml | 28 ++++++++++++++++++++-------- 1 file changed, 20 insertions(+), 8 deletions(-) diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml index c5fd102..4684ace 100644 --- a/.github/workflows/main.yml +++ b/.github/workflows/main.yml @@ -12,7 +12,15 @@ jobs: shell: bash -l {0} steps: - name: Check out repository - uses: actions/checkout@v2 + uses: actions/checkout@v3 + + - name: Set up Quarto + uses: quarto-dev/quarto-actions/setup@v2 + with: + # To install LaTeX to build PDF book + tinytex: true + # uncomment below and fill to pin a version + # version: SPECIFIC-QUARTO-VERSION-HERE # - name: Create Python environment # uses: conda-incubator/setup-miniconda@v2 @@ -24,12 +32,14 @@ jobs: # channel-priority: true # activate-environment: quarto-import # environment-file: _import/environment.yml - - - name: Set up Quartow - uses: quarto-dev/quarto-actions/setup@v2 + - name: Set up Python + uses: actions/setup-python@v2 with: - tinytex: true - # r-version: 4.2.1 + python-version: 3.9 + + - name: Install dependencies + run: | + python -m pip install quarto nbformat - name: Render Quarto Project uses: quarto-dev/quarto-actions/render@v2 @@ -38,5 +48,7 @@ jobs: uses: quarto-dev/quarto-actions/publish@v2 with: target: gh-pages - env: - GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }} + + + # env: + # GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }} From 2a99483833c31c3eb213252d9f6598f7f9902aa2 Mon Sep 17 00:00:00 2001 From: Kris Date: Tue, 30 Jul 2024 11:55:33 +1000 Subject: [PATCH 4/9] proper 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zckt0={D^Z$JO-tpn87t}R0Q*{__i{54Yd3iT*Hg_=XZL;@9G5q3_I^tE2vapLh0k? zQ8hvk*;C0BF~FP7Qdh)Hx-{2@H^;1p$|zNFi=#1&}nT9ADwQ4jPk(_Q$r-8v#>g zLBlvNem0JcXA{_jHOBjON_>tgcLK@O$@`idpkJ36D7#*~(!1r6V8R$K@TKn0LR!$A za8AvZvu|fj!$_*Ch4?=A@K1Tw?Gtpr+}+X-&S>4u&b35}kCvwE7HHe&LIXqrCx6>Z zqP!W4Rp+VC;&44DFo){*w?7(<<3v1jn{hW>w=1`(n`{bBlo6tSMCQzBaF2lMSJSU^h(p7jZ0=4}9#covfZ&9EParallel Python

    Trainers

    • Kristian Maras (Kris) (MSc Mathematics / Ba Commerce)
    • -
    • Thomas Mauch (Thomas) (PhD in astronomy)
    • +
    • Thomas Mauch (Tom) (PhD in astronomy)
    • Nathaniel (Nate) Butterworth (PhD Computational Geophysics)
    diff --git a/docs/notebooks/01b-TransitionToDask.html b/docs/notebooks/01b-TransitionToDask.html index 96cd450..3e75474 100644 --- a/docs/notebooks/01b-TransitionToDask.html +++ b/docs/notebooks/01b-TransitionToDask.html @@ -483,14 +483,12 @@

    Dask Arrays

    (1000, 1000) -Count -1 Graph Layer -100 Chunks +Dask graph +100 chunks in 1 graph layer -Type -float64 -numpy.ndarray +Data type +float64 numpy.ndarray @@ -575,7 +573,7 @@

    A few key definitions:

    -
    array([114179.04304005, 114206.99042435, 114061.88890567, ...,
    -       113996.60327348, 114431.72344464, 114155.54633761])
    +
    array([114088.23038208, 114412.76898299, 114062.70087907, ...,
    +       114507.50869038, 114166.89260871, 113983.68356763])
    # Inefficient resource utilisation - dask introduces too much overhead for simple sizes np handles well
     x = da.random.random(size = (10_000_000),chunks = (1000,))
     x.sum().compute()
    @@ -819,9 +817,9 @@

    -
    5000858.565339783
    +
    5000296.402465192
    client.shutdown
    -
    <bound method Client.shutdown of <Client: 'tcp://127.0.0.1:50944' processes=5 threads=10, memory=32.00 GiB>>
    +
    <bound method Client.shutdown of <Client: 'tcp://127.0.0.1:50573' processes=5 threads=10, memory=32.00 GiB>>

    Key points

    diff --git a/docs/notebooks/polars-intro.html b/docs/notebooks/polars-intro.html index 6333f33..8d2c06f 100644 --- a/docs/notebooks/polars-intro.html +++ b/docs/notebooks/polars-intro.html @@ -205,6 +205,12 @@

    Polars - Getting to know the Syntax

    Out of Core: The streaming API allows you to process your results without requiring all your data to be in memory at the same time

    Parallel: Utilises the power of your machine by dividing the workload among the available CPU cores without any additional configuration.

    The philosophy of Polars is to provide a dataframe library that utilises available cores, has an intuitive api and is performant - hence adheres to a strict schema (data-types should be known before running the query).

    +
    +
    +

    +
    polars
    +
    +

    Polars concepts

    Polars describes common operations available with Contexts and Expressions.

    diff --git a/docs/search.json b/docs/search.json index 2b5fe84..18e187b 100644 --- a/docs/search.json +++ b/docs/search.json @@ -46,7 +46,7 @@ "href": "index.html#trainers", "title": "Parallel Python", "section": "Trainers", - "text": "Trainers\n\nKristian Maras (Kris) (MSc Mathematics / Ba Commerce)\nThomas Mauch (Thomas) (PhD in astronomy)\nNathaniel (Nate) Butterworth (PhD Computational Geophysics)" + "text": "Trainers\n\nKristian Maras (Kris) (MSc Mathematics / Ba Commerce)\nThomas Mauch (Tom) (PhD in astronomy)\nNathaniel (Nate) Butterworth (PhD Computational Geophysics)" }, { "objectID": "index.html#course-pre-requisites-and-setup-requirements", @@ -116,14 +116,14 @@ "href": "notebooks/01b-TransitionToDask.html#dask-arrays", "title": "What is Dask?", "section": "Dask Arrays", - "text": "Dask Arrays\nimport dask.array as da\nx = da.random.random((10000, 10000), chunks=(1000, 1000))\nx\n\n\n\n\n\n\n\n\n\n\n\nArray\nChunk\n\n\n\n\nBytes\n762.94 MiB\n7.63 MiB\n\n\nShape\n(10000, 10000)\n(1000, 1000)\n\n\nCount\n1 Graph Layer\n100 Chunks\n\n\nType\nfloat64\nnumpy.ndarray\n\n\n\n\n\n\n\n# numpy syntax as usual\ny = x + x.T\nz = y[::2, 5000:].mean(axis=1) # axis 0 is index, axis 1 is columns\nz\n# Trigger compute and investigate Client\n\n\n\n\n\n\n\n\n\n\n\nArray\nChunk\n\n\n\n\nBytes\n39.06 kiB\n3.91 kiB\n\n\nShape\n(5000,)\n(500,)\n\n\nCount\n7 Graph Layers\n10 Chunks\n\n\nType\nfloat64\nnumpy.ndarray" + "text": "Dask Arrays\nimport dask.array as da\nx = da.random.random((10000, 10000), chunks=(1000, 1000))\nx\n\n\n\n\n\n\n\n\n\n\n\nArray\nChunk\n\n\n\n\nBytes\n762.94 MiB\n7.63 MiB\n\n\nShape\n(10000, 10000)\n(1000, 1000)\n\n\nDask graph\n100 chunks in 1 graph layer\n\n\nData type\nfloat64 numpy.ndarray\n\n\n\n\n\n\n\n# numpy syntax as usual\ny = x + x.T\nz = y[::2, 5000:].mean(axis=1) # axis 0 is index, axis 1 is columns\nz\n# Trigger compute and investigate Client\n\n\n\n\n\n\n\n\n\n\n\nArray\nChunk\n\n\n\n\nBytes\n39.06 kiB\n3.91 kiB\n\n\nShape\n(5000,)\n(500,)\n\n\nCount\n7 Graph Layers\n10 Chunks\n\n\nType\nfloat64\nnumpy.ndarray" }, { "objectID": "notebooks/01b-TransitionToDask.html#diagnostics---profile-resource-efficiency-in-real-time", "href": "notebooks/01b-TransitionToDask.html#diagnostics---profile-resource-efficiency-in-real-time", "title": "What is Dask?", "section": "Diagnostics - Profile resource efficiency in real time", - "text": "Diagnostics - Profile resource efficiency in real time\nThe Dask Dashboard enables resource monitoring across RAM, CPU, workers, threads and tasks (functions), in real time as your code is running. It opens a user friendly dashboard allowing you to inspect what processes are running and what work (or bottlenecks) exist across your cores.\nSee here for documentation and videos.\n\nA few key definitions:\n\nBytes Stored and Bytes per Worker: Cluster memory and Memory per worker.\nTask Processing/CPU Utilization/Occupancy: Tasks being processed by each worker/ CPU Utilization per worker/ Expected runtime for all tasks currently on a worker.\nProgress: Progress of a set of tasks.\n\nThere are three different colors of workers in a task graph:\n\nBlue: Processing tasks.\nGreen: Saturated: It has enough work to stay busy.\nRed: Idle: Does not have enough work to stay busy.\nTask Stream: Individual task across threads.\n\nWhite colour represents deadtime.\n\n\n# To load diagnostic in web browser on local. Wont work on CoLab.\nfrom dask.distributed import Client\nclient = Client()\nclient #client.shutdown after use\n\n \n \n Client\n Client-a102ceae-4a3f-11ef-890e-d687d7367289\n \n\n\n\nConnection method: Cluster object\nCluster type: distributed.LocalCluster\n\n\nDashboard: http://127.0.0.1:8787/status\n\n\n\n\n\n\nCluster Info\n\n\n\n\n\n\nLocalCluster\n40a61b40\n\n\n\nDashboard: http://127.0.0.1:8787/status\nWorkers: 5\n\n\nTotal threads: 10\nTotal memory: 32.00 GiB\n\n\nStatus: running\nUsing processes: True\n\n\n\n\n\nScheduler Info\n\n\n\n\n\n\nScheduler\nScheduler-bd6ab190-cc77-4a45-9877-db3c9fae6eb1\n\n\n\nComm: tcp://127.0.0.1:50944\nWorkers: 5\n\n\nDashboard: http://127.0.0.1:8787/status\nTotal threads: 10\n\n\nStarted: Just now\nTotal memory: 32.00 GiB\n\n\n\n\n\n\nWorkers\n\n\n\n\n\nWorker: 0\n\n\n\nComm: tcp://127.0.0.1:50960\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50967/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50947\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-41zn61zx\n\n\n\n\n\n\n\n\n\n\nWorker: 1\n\n\n\nComm: tcp://127.0.0.1:50963\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50968/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50948\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-91692av2\n\n\n\n\n\n\n\n\n\n\nWorker: 2\n\n\n\nComm: tcp://127.0.0.1:50961\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50964/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50949\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-kvhj80x5\n\n\n\n\n\n\n\n\n\n\nWorker: 3\n\n\n\nComm: tcp://127.0.0.1:50959\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50966/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50950\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-k75empbg\n\n\n\n\n\n\n\n\n\n\nWorker: 4\n\n\n\nComm: tcp://127.0.0.1:50962\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50965/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50951\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-q_dwp3u5" + "text": "Diagnostics - Profile resource efficiency in real time\nThe Dask Dashboard enables resource monitoring across RAM, CPU, workers, threads and tasks (functions), in real time as your code is running. It opens a user friendly dashboard allowing you to inspect what processes are running and what work (or bottlenecks) exist across your cores.\nSee here for documentation and videos.\n\nA few key definitions:\n\nBytes Stored and Bytes per Worker: Cluster memory and Memory per worker.\nTask Processing/CPU Utilization/Occupancy: Tasks being processed by each worker/ CPU Utilization per worker/ Expected runtime for all tasks currently on a worker.\nProgress: Progress of a set of tasks.\n\nThere are three different colors of workers in a task graph:\n\nBlue: Processing tasks.\nGreen: Saturated: It has enough work to stay busy.\nRed: Idle: Does not have enough work to stay busy.\nTask Stream: Individual task across threads.\n\nWhite colour represents deadtime.\n\n\n# To load diagnostic in web browser on local. Wont work on CoLab.\nfrom dask.distributed import Client\nclient = Client()\nclient #client.shutdown after use\n\n \n \n Client\n Client-282909c2-4e0d-11ef-8d95-d687d7367288\n \n\n\n\nConnection method: Cluster object\nCluster type: distributed.LocalCluster\n\n\nDashboard: http://127.0.0.1:8787/status\n\n\n\n\n\n\nCluster Info\n\n\n\n\n\n\nLocalCluster\n2c397460\n\n\n\nDashboard: http://127.0.0.1:8787/status\nWorkers: 5\n\n\nTotal threads: 10\nTotal memory: 32.00 GiB\n\n\nStatus: running\nUsing processes: True\n\n\n\n\n\nScheduler Info\n\n\n\n\n\n\nScheduler\nScheduler-07b1460e-b35e-4c3c-afc5-5a9b007d4875\n\n\n\nComm: tcp://127.0.0.1:50573\nWorkers: 5\n\n\nDashboard: http://127.0.0.1:8787/status\nTotal threads: 10\n\n\nStarted: Just now\nTotal memory: 32.00 GiB\n\n\n\n\n\n\nWorkers\n\n\n\n\n\nWorker: 0\n\n\n\nComm: tcp://127.0.0.1:50592\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50597/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50576\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-jt_xmqss\n\n\n\n\n\n\n\n\n\n\nWorker: 1\n\n\n\nComm: tcp://127.0.0.1:50593\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50598/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50577\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-1c5y5lww\n\n\n\n\n\n\n\n\n\n\nWorker: 2\n\n\n\nComm: tcp://127.0.0.1:50594\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50599/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50578\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-3b1scof8\n\n\n\n\n\n\n\n\n\n\nWorker: 3\n\n\n\nComm: tcp://127.0.0.1:50595\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50604/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50579\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-rkqgplj_\n\n\n\n\n\n\n\n\n\n\nWorker: 4\n\n\n\nComm: tcp://127.0.0.1:50596\nTotal threads: 2\n\n\nDashboard: http://127.0.0.1:50603/status\nMemory: 6.40 GiB\n\n\nNanny: tcp://127.0.0.1:50580\n\n\n\nLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-n26yax3w" }, { "objectID": "notebooks/polars-intro.html", diff --git a/notebooks/01b-TransitionToDask.ipynb b/notebooks/01b-TransitionToDask.ipynb index 2af62a2..7ba54a2 100644 --- a/notebooks/01b-TransitionToDask.ipynb +++ b/notebooks/01b-TransitionToDask.ipynb @@ -399,7 +399,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -408,7 +408,7 @@ "\n", " \n", "
    \n", - " \n", + "
    \n", " \n", " \n", " \n", @@ -430,14 +430,12 @@ " \n", " \n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", "
    (1000, 1000)
    Count 1 Graph Layer 100 Chunks Dask graph 100 chunks in 1 graph layer
    Type float64 numpy.ndarray Data type float64 numpy.ndarray
    \n", @@ -486,7 +484,7 @@ "dask.array" ] }, - "execution_count": 9, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -622,7 +620,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -632,7 +630,7 @@ "
    \n", "
    \n", "

    Client

    \n", - "

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  • \n", - " Comm: tcp://127.0.0.1:50944\n", + " Comm: tcp://127.0.0.1:50573\n", " \n", " Workers: 5\n", @@ -746,7 +744,7 @@ " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -791,7 +789,7 @@ "
    \n", - " Comm: tcp://127.0.0.1:50960\n", + " Comm: tcp://127.0.0.1:50592\n", " \n", " Total threads: 2\n", @@ -754,7 +752,7 @@ "
    \n", - " Dashboard: http://127.0.0.1:50967/status\n", + " Dashboard: http://127.0.0.1:50597/status\n", " \n", " Memory: 6.40 GiB\n", @@ -762,13 +760,13 @@ "
    \n", - " Nanny: tcp://127.0.0.1:50947\n", + " Nanny: tcp://127.0.0.1:50576\n", "
    \n", - " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-41zn61zx\n", + " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-jt_xmqss\n", "
    \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -836,7 +834,7 @@ "
    \n", - " Comm: tcp://127.0.0.1:50963\n", + " Comm: tcp://127.0.0.1:50593\n", " \n", " Total threads: 2\n", @@ -799,7 +797,7 @@ "
    \n", - " Dashboard: http://127.0.0.1:50968/status\n", + " Dashboard: http://127.0.0.1:50598/status\n", " \n", " Memory: 6.40 GiB\n", @@ -807,13 +805,13 @@ "
    \n", - " Nanny: tcp://127.0.0.1:50948\n", + " Nanny: tcp://127.0.0.1:50577\n", "
    \n", - " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-91692av2\n", + " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-1c5y5lww\n", "
    \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -881,7 +879,7 @@ "
    \n", - " Comm: tcp://127.0.0.1:50961\n", + " Comm: tcp://127.0.0.1:50594\n", " \n", " Total threads: 2\n", @@ -844,7 +842,7 @@ "
    \n", - " Dashboard: http://127.0.0.1:50964/status\n", + " Dashboard: http://127.0.0.1:50599/status\n", " \n", " Memory: 6.40 GiB\n", @@ -852,13 +850,13 @@ "
    \n", - " Nanny: tcp://127.0.0.1:50949\n", + " Nanny: tcp://127.0.0.1:50578\n", "
    \n", - " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-kvhj80x5\n", + " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-3b1scof8\n", "
    \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -926,7 +924,7 @@ "
    \n", - " Comm: tcp://127.0.0.1:50959\n", + " Comm: tcp://127.0.0.1:50595\n", " \n", " Total threads: 2\n", @@ -889,7 +887,7 @@ "
    \n", - " Dashboard: http://127.0.0.1:50966/status\n", + " Dashboard: http://127.0.0.1:50604/status\n", " \n", " Memory: 6.40 GiB\n", @@ -897,13 +895,13 @@ "
    \n", - " Nanny: tcp://127.0.0.1:50950\n", + " Nanny: tcp://127.0.0.1:50579\n", "
    \n", - " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-k75empbg\n", + " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-rkqgplj_\n", "
    \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -975,10 +973,10 @@ "" ], "text/plain": [ - "" + "" ] }, - "execution_count": 8, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -992,17 +990,17 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([114179.04304005, 114206.99042435, 114061.88890567, ...,\n", - " 113996.60327348, 114431.72344464, 114155.54633761])" + "array([114088.23038208, 114412.76898299, 114062.70087907, ...,\n", + " 114507.50869038, 114166.89260871, 113983.68356763])" ] }, - "execution_count": 11, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -1018,7 +1016,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -1034,10 +1032,10 @@ { "data": { "text/plain": [ - "5000858.565339783" + "5000296.402465192" ] }, - "execution_count": 10, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -1050,16 +1048,16 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - ">" + ">" ] }, - "execution_count": 12, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } diff --git a/notebooks/polars-intro.ipynb b/notebooks/polars-intro.ipynb index 3fcf756..ac0f0cb 100644 --- a/notebooks/polars-intro.ipynb +++ b/notebooks/polars-intro.ipynb @@ -22,6 +22,8 @@ "\n", "The philosophy of Polars is to provide a dataframe library that utilises available cores, has an intuitive api and is performant - hence adheres to a strict schema (data-types should be known before running the query).\n", "\n", + "![polars](../fig/polars.png)\n", + "\n", "### Polars concepts\n", "\n", "Polars describes common operations available with [Contexts](https://docs.pola.rs/user-guide/concepts/contexts/) and [Expressions](https://docs.pola.rs/user-guide/concepts/expressions/). \n", From 7477fbd34335a91891d2d92c9dd5e9e60b8f0c3d Mon Sep 17 00:00:00 2001 From: Kris Date: Tue, 30 Jul 2024 15:16:32 +1000 Subject: [PATCH 5/9] polars and pandas reads better - add Toms ML --- docs/notebooks/01a-pandas_fundamentals.html | 2 +- docs/notebooks/polars-intro.html | 404 +++++++++++------- .../figure-html/cell-12-output-1.png | Bin 0 -> 46852 bytes docs/search.json | 28 +- fig/polars.png | Bin 0 -> 1140079 bytes notebooks/01a-pandas_fundamentals.ipynb | 2 +- notebooks/polars-intro.ipynb | 377 ++++++++++------ 7 files changed, 529 insertions(+), 284 deletions(-) create mode 100644 docs/notebooks/polars-intro_files/figure-html/cell-12-output-1.png create mode 100644 fig/polars.png diff --git a/docs/notebooks/01a-pandas_fundamentals.html b/docs/notebooks/01a-pandas_fundamentals.html index 55d371e..6b9cdd6 100644 --- a/docs/notebooks/01a-pandas_fundamentals.html +++ b/docs/notebooks/01a-pandas_fundamentals.html @@ -223,7 +223,7 @@

    # Import libraries and datasets
     import pandas as pd
     import numpy as np
    diff --git a/docs/notebooks/polars-intro.html b/docs/notebooks/polars-intro.html
    index 8d2c06f..4f6c5a4 100644
    --- a/docs/notebooks/polars-intro.html
    +++ b/docs/notebooks/polars-intro.html
    @@ -7,7 +7,7 @@
     
     
     
    -Parallel Python with Dask - Polars - Getting to know the Syntax
    +Parallel Python with Dask - Polars
     
    +shape: (4, 4)
    +

    \n", - " Comm: tcp://127.0.0.1:50962\n", + " Comm: tcp://127.0.0.1:50596\n", " \n", " Total threads: 2\n", @@ -934,7 +932,7 @@ "
    \n", - " Dashboard: http://127.0.0.1:50965/status\n", + " Dashboard: http://127.0.0.1:50603/status\n", " \n", " Memory: 6.40 GiB\n", @@ -942,13 +940,13 @@ "
    \n", - " Nanny: tcp://127.0.0.1:50951\n", + " Nanny: tcp://127.0.0.1:50580\n", "
    \n", - " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-q_dwp3u5\n", + " Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-n26yax3w\n", "
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    integerdatefloatstring
    f32datetime[μs]u8str
    1.02025-01-01 00:00:004"a"
    2.02025-01-02 00:00:005"b"
    3.02025-01-03 00:00:006"c"
    4.02025-01-03 00:00:0012"b"
    + -
    -

    Lazy / Eager API

    +
    +

    Lazy / Eager and Streaming

    Polars supports two modes of operation: lazy and eager. In the eager API the query is executed immediately while in the lazy API the query is only evaluated once it is ‘needed’. Deferring the execution to the last minute can have significant performance advantages.

    -

    Before we explore the two run this code to fetch the iris dataset

    -
    # fetch iris dataset and save as csv in local path
    -from ucimlrepo import fetch_ucirepo 
    -import pandas as pd
    -iris = fetch_ucirepo(id=53) 
    -X = iris.data.features 
    -y = iris.data.targets 
    -iris_df = pd.concat([X, y], axis=1)
    -iris_df.rename(columns={'class': 'species'}, inplace=True)
    -iris_df.to_csv("iris_data.csv", index=False)
    -

    In this example we use the eager API we -1. Read the iris dataset. -2. Filter the dataset based on sepal length -3. Calculate the mean of the sepal width per species

    -

    Every step is executed immediately returning the intermediate results. This can be very wasteful as we might do work or load extra data that is not being used.

    -
    df = pl.read_csv("iris_data.csv")
    -df_small = df.filter(pl.col("sepal length") > 5)
    -df_agg = df_small.group_by("species").agg(pl.col("sepal width").mean())
    -

    If we instead used the lazy API and waited on execution until all the steps are defined then the query planner could perform various optimizations. In this case:

    -
      -
    1. Predicate pushdown: Apply filters as early as possible while reading the dataset, thus only reading rows with sepal length greater than 5.

    2. -
    3. Projection pushdown: Select only the columns that are needed while reading the dataset, thus removing the need to load additional columns (e.g. petal length & petal width)

    4. -
    -
    q = (
    -    pl.scan_csv("iris_data.csv") #doesnt read it all before other operation is performed
    -        .filter(pl.col("sepal length") > 5)
    -        .group_by("species").agg(pl.col("sepal width").mean())
    -)
    -
    -q # a lazyframe
    -
    -df_agg = q.collect() # inform polars that you want to execute the query
    -df_agg = q.collect(streaming=True) # with streaming mode
    +

    An example of using the eager API is below. Every step is executed immediately returning the intermediate results. This can be very wasteful as we might do work or load extra data that is not being used.

    +
    df = pl.read_csv("iris_data.csv") #read the iris dataset
    +df_small = df.filter(pl.col("sepal length") > 5) #filter
    +df_agg = df_small.group_by("species").agg(pl.col("sepal width").mean()) #mean of the sepal width per species
    +

    If we instead used the lazy API and waited on execution until all the steps are defined then the query planner could perform various optimizations.

    +
    q = (
    +    pl.scan_csv("iris_data.csv") #doesnt read it all before other operation is performed
    +        .filter(pl.col("sepal length") > 5)
    +        .group_by("species").agg(pl.col("sepal width").mean())
    +)
    +
    +q # a lazyframe
    +
    +df_agg = q.collect() # inform polars that you want to execute the query
    +df_agg = q.collect(streaming=True) # with streaming mode to process in batches

    Streaming

    -

    One additional benefit of the lazy API is that it allows queries to be executed in a streaming manner. Instead of processing the data all-at-once Polars can execute the query in batches allowing you to process datasets that are larger-than-memory.

    -

    To tell Polars we want to execute a query in streaming mode we pass the streaming=True argument to collect. See here for more info on streaming.

    +

    One additional benefit of the lazy API is that it allows queries to be executed in a streaming manner. Instead of processing the data all-at-once Polars can execute the query in batches allowing you to process datasets that are larger-than-memory. See here for more info on streaming.

    When to use Lazy versus Eager:

    In general the lazy API should be preferred unless you are either interested in the intermediate results or are doing exploratory work and don’t know yet what your query is going to look like

    -
    -

    Typical pipeline Demo

    -

    Given your new knowledge of polars, here is an example on how to integrate into the usual pipeline consisting of:

    -
      -
    1. Data ingestion and manipulation.

    2. -
    3. Data visualization

    4. -
    5. Model Preperation - Training and Testing

    6. -
    7. Prediction

    8. -
    -
    
    -# Do you aggregating and manipulation to clean data
    -# keep "as lazy" as possible
    -q = (
    -    pl.scan_csv("iris_data.csv") # data manipulation stuff - trivial example
    -        .filter(pl.col("sepal length") > 2)
    -)
    -
    -iris_df = q.collect() #trigger computation on and store the polars dataframe
    +

    When using Lazy mode, apply filteres as early as possible before reading the data. Only select column you need.

    +
    +

    Common Machine Learning Workflow

    +

    Given your new knowledge of polars, here is an example on how to integrate into the usual pipeline consisting of data ingestion and manipulation, model preperation and prediction.

    +
    # loading libraries
    +!pip install ucimlrepo
    +!pip install scikit-learn==1.4
    +import numpy as np
    +from sklearn.tree import DecisionTreeClassifier
    +from sklearn.tree import plot_tree
    +from matplotlib import pylab as plt
    +
    # Fit a descision tree from polars dataframe object
    +df = pl.read_csv("iris_data.csv")
    +data = df.select(['sepal length', 'sepal width', 'petal length', 'petal width'])
    +target = df.select(['species']).to_series()
    +clf = DecisionTreeClassifier()
    +model = clf.fit(data, target)
    +
    # Plot the decision tree
    +plot_tree(clf, filled=True, feature_names=data.columns)
    +plt.title("Decision tree trained on all the iris features")
    +plt.show()
    +

    +
    # Add predicitions to the polars dataframe
    +predict_df = pl.concat([df,
    +                        pl.DataFrame(model.predict(data), schema=["predict"])],
    +                       how="horizontal")
    +print(predict_df.sample(8))
    +

    shape: (8, 6) +┌──────────────┬─────────────┬──────────────┬─────────────┬─────────────────┬─────────────────┐ +│ sepal length ┆ sepal width ┆ petal length ┆ petal width ┆ species ┆ predict │ +│ — ┆ — ┆ — ┆ — ┆ — ┆ — │ +│ f64 ┆ f64 ┆ f64 ┆ f64 ┆ str ┆ str │ +╞══════════════╪═════════════╪══════════════╪═════════════╪═════════════════╪═════════════════╡ +│ 6.0 ┆ 3.4 ┆ 4.5 ┆ 1.6 ┆ Iris-versicolor ┆ Iris-versicolor │ +│ 6.3 ┆ 2.8 ┆ 5.1 ┆ 1.5 ┆ Iris-virginica ┆ Iris-virginica │ +│ 5.7 ┆ 4.4 ┆ 1.5 ┆ 0.4 ┆ Iris-setosa ┆ Iris-setosa │ +│ 5.8 ┆ 2.7 ┆ 5.1 ┆ 1.9 ┆ Iris-virginica ┆ Iris-virginica │ +│ 6.6 ┆ 3.0 ┆ 4.4 ┆ 1.4 ┆ Iris-versicolor ┆ Iris-versicolor │ +│ 6.9 ┆ 3.1 ┆ 5.4 ┆ 2.1 ┆ Iris-virginica ┆ Iris-virginica │ +│ 6.7 ┆ 2.5 ┆ 5.8 ┆ 1.8 ┆ Iris-virginica ┆ Iris-virginica │ +│ 4.8 ┆ 3.0 ┆ 1.4 ┆ 0.3 ┆ Iris-setosa ┆ Iris-setosa │ +└──────────────┴─────────────┴──────────────┴─────────────┴─────────────────┴─────────────────┘

    Ecosystem

    -

    On this page you can find a non-exhaustive list of libraries and tools that support Polars. As the data ecosystem is evolving fast, more libraries will likely support Polars in the future. One of the main drivers is that Polars makes adheres its memory layout to the Apache Arrow spec.

    -
    # Polars dataframs has kMachine learning 
    -
    -# Example preprocessing with Polars: Adding a new feature
    -iris_df = df.with_columns(
    -    (df['sepal length'] * df['sepal width']).alias('sepal area')
    -)
    -
    -# Separate features and target for scikit-learn
    -X = iris_df.select(['sepal length', 'sepal width', 'petal length', 'petal width', 'sepal area'])
    -y = iris_df.select('species').to_series()
    +

    On the Supported Polars Ecosystem page you can find a non-exhaustive list of libraries and tools that support Polars.

    +

    As the data ecosystem is evolving fast, more libraries will likely support Polars in the future.

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"text": "Objectives\n\nRecap why pandas has been the go to package for most of python’s history.\nExplore pitfalls of pandas and python in general.\nWhat does parallel mean?\n\n\n\nWhat is Parallel - Why is python slow (sometimes)\nA process is a collection of resources including program files and memory, that operates as an independent entity. Since each process has a seperate memory space, it can operate independently from other processes. It cannot easily access shared data in other processes.\nA thread is the unit of execution within a process. A process can have anywhere from just one thread to many threads. Threads are considered lightweight because they use far less resources than processes. Threads also share the same memory space so are not independent.\nBack to python, the multiprocessing library was designed to break down the Global Interpreter Lock (GIL) that limits one thread to control the Python interpreter.\n\n\n\nImage\n\n\nIn Python, the things that are occurring simultaneously are called by different names (thread, task, process). While they all fall under the definition of concurrency (multiple things happening anaologous to different trains of thought), only multiprocessing actually runs these trains of thought at literally the same time. We will only cover multiprocessing here which assists in CPU bound operations - but keep in mind other methods exist (multi threading, message passing interface..), whose implementation tends to be more low level.\n\n\nPandas Dataframes - Recap The Staple of Python data manipulation\nPandas has been the standard in Python for many years\n\nHas an extensive set of Features.\nRepresent commond datastructures and operatings.\nEfficiency (when using the optimised c code under the hood).\nWide integration with other open source libraries.\n\nLets recap how its used in common workflows which generally consis of reading and inspecting data, data manipulation and applying functions from other packages and finally plotting main results.\n# Import libraries and datasets\nimport pandas as pd\nimport numpy as np\nimport scipy as sp\nimport seaborn as sns\n\n#load the data\ndf = sns.load_dataset('diamonds')\ndf.to_csv('diamonds.csv')\ndf.head() #inspect DataFrame\n\n\n\n\n\n\n\ncarat\ncut\ncolor\nclarity\ndepth\ntable\nprice\nx\ny\nz\n\n\n\n\n0\n0.23\nIdeal\nE\nSI2\n61.5\n55.0\n326\n3.95\n3.98\n2.43\n\n\n1\n0.21\nPremium\nE\nSI1\n59.8\n61.0\n326\n3.89\n3.84\n2.31\n\n\n2\n0.23\nGood\nE\nVS1\n56.9\n65.0\n327\n4.05\n4.07\n2.31\n\n\n3\n0.29\nPremium\nI\nVS2\n62.4\n58.0\n334\n4.20\n4.23\n2.63\n\n\n4\n0.31\nGood\nJ\nSI2\n63.3\n58.0\n335\n4.34\n4.35\n2.75\n\n\n\n\n\n\n\nDataFrame Functions\nFunctions are available that are attached to the DataFrame class\nCommon methods are:\n\nfilter: Subset the dataframe columns or rows according to the specified index labels.\nassign: assign / mutate new columns in dataframe\nquery: query the columns of a DataFrame with a boolean expression\ngroupby : group dataframe into sections, usually followed by aggregations\napply : Apply a function along an axis of the DataFrame\n\n# A whole bunch of stuff - recap on pandas\n\n# Inspect dataframe attributes -------------------------------- \n\ndf.index # name of index, in this case a range\ndf.columns # variables carat to z\ndf.values # values as a numpy.ndarray\ndf.dtypes # data types of variables\ndf.shape # rows to column structure\ndf.ndim # number of dimensions\n\n\n# filter or create columns ------------------------------------------------\ndf.filter(['cut']) # returns pandas.DataFrame\ndf['cut'] # as opposed to this which returns pandas.Series or df.cut\ndf.filter([\"carat\",\"cut\"]) # filter more than one variables \ndf.filter(regex= \"^c\") # with regular expressions\ndf.filter([0,2,5], axis=0).head() # filter rows keeping in mind the index\n\ndf.assign(size = 1) #fills same value\ndf = df.assign(size = np.sqrt(df.x ** 2 + df.y ** 2 + df.z ** 2)) #element wise vector addition\n\n\n# subset observations with query ---------------------------------------------------------------- \n# The quotes in query need to be single-outside, double-inside \ndf.query('color == \"E\"') # filter observations by criteria\ndf.query('cut == \"Ideal\" or cut == \"Premium\"') # filter observations with logical expression\ndf.query('cut == \"Ideal\" | cut == \"Premium\"') # same thing\ndf.query(\"cut.str.match('^G')\") # query doesn't have regex parameter but can be incorporated via str attribute\ndf.query(\"clarity.str.contains('^\\w+1')\")\ndf.query('price > 500') # querying numeric\n\n\n# chaining manipulations\ndf.query('price < 500').head() \n\n(df\n .filter(['carat', 'color'])\n .query('color == \"E\"')\n .head(3))\n\n# Each column in the pd.Dataframe is pd.Series with methods available\ndf.cut # referenced column on its own\ndf.cut.value_counts() \ndf.cut.unique()\ndf.carat.mean()\n\n# groupby: splits DataFrame into multiple compartments and returns a group-by object\n# which aggregations can be applied on each group\ndf.groupby('cut').price.agg('std')\ndf.groupby('cut').mean(numeric_only=True)\n\n# apply functions : apply a function to a DataFrame over columns (axis = 1) or rows (axis = 0) \ndf.assign(norm = df.filter(['x','y','z']).apply(np.linalg.norm,axis = 1)) # element / rowwise norm equivalent\n\n# map : very similar to apply but acts on pd.Series rather than pd.DataFrame\ndf.price.map(lambda r : r + 1) #returns a pd.Series\n\n# applymap: Apply a function to a DataDrame element-wise\ndf.filter(['x','y','z']).applymap(lambda x : x **2) \n/var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/ipykernel_1074/1161367035.py:50: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n df.groupby('cut').price.agg('std')\n/var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/ipykernel_1074/1161367035.py:51: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n df.groupby('cut').mean(numeric_only=True)\n/var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/ipykernel_1074/1161367035.py:60: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n df.filter(['x','y','z']).applymap(lambda x : x **2)\n\n\n\n\n\n\n\nx\ny\nz\n\n\n\n\n0\n15.6025\n15.8404\n5.9049\n\n\n1\n15.1321\n14.7456\n5.3361\n\n\n2\n16.4025\n16.5649\n5.3361\n\n\n3\n17.6400\n17.8929\n6.9169\n\n\n4\n18.8356\n18.9225\n7.5625\n\n\n...\n...\n...\n...\n\n\n53935\n33.0625\n33.1776\n12.2500\n\n\n53936\n32.3761\n33.0625\n13.0321\n\n\n53937\n32.0356\n32.2624\n12.6736\n\n\n53938\n37.8225\n37.4544\n13.9876\n\n\n53939\n33.9889\n34.4569\n13.2496\n\n\n\n\n53940 rows × 3 columns\n\nAlot more functions available in Pandas API. Arguably too many to remember the syntax in an intuitive way.\n\n\nTypical workflow - Reading, Manipulating and Plotting\nThe below follows a generic workflow of reading and manipulation data for insight and visualisation. Note in each assignment calcuations are triggered. As data becomes larger this slows down computation (assuming the data fits in memory).\n\n#reading data\ndf = pd.read_csv('diamonds.csv') \n\n#subseting data\ndf_subset = (df \n .filter(['cut','carat','clarity','x','y','z','price'])\n .query('carat < 2.5'))\n\n#manipulating data for insight\npremium_by_clarity = (df.assign(demeaned = df.price - df.groupby('cut').price.transform('mean'))\n .groupby('clarity').price.mean()\n .sort_values())\n\npremium_by_clarity\nclarity\nVVS1 2523.114637\nIF 2864.839106\nVVS2 3283.737071\nVS1 3839.455391\nI1 3924.168691\nVS2 3924.989395\nSI1 3996.001148\nSI2 5063.028606\nName: price, dtype: float64\n#visualization\ndf_longer = (df_subset \n .melt(id_vars=['cut','price','clarity','carat'], \n value_vars = ['x','y','z'],\n value_name = \"dim\"\n )\n)\nsns.relplot(x=\"dim\", y=\"carat\", hue=\"cut\", size=\"price\",\n sizes=(10, 200), alpha=.5, palette=\"muted\",\n height=6, data=df_longer.query('dim < 12'));\n\n\n\nChallenge\nMake a plot of the carat vs price, group the colors by the cut and the symbol size by the color of the diamond. Limit the dataset to just show the “I1” clarity.\n\n\nSolution\n\nThis can be done in a few ways, but Seaborn interfaces with pandas-like dataframes seamlessly to make these simple data-manging tasks easy.\nsns.relplot(x=\"carat\", y=\"price\", hue=\"cut\",size='color',\n sizes=(10, 200), alpha=.5, palette=\"muted\",\n height=6, data=data.query('clarity == \"I1\"'))\n\n\nSome common issues with this typical workflow are:\n\nData may not fit easily into one dataframe\nEach data manipulation (and reassignment to a variable) triggers computation.\nPandas syntax sometimes difficult to understand and holds too many options to remember.\nPython GIL prevent threads from running at the same time (for now)\n\n\nAside - Generators may be helpful for functions you define yourself\nA Generator in Python is a function that returns an iterator (rather than an actual value/ set of values) using the Yield keyword. Think of it as defining the process rather than processing.\nA few useful links with ideas on how to do this:\n\nhttps://caam37830.github.io/book/index.html\nhttps://python-course.eu/\nhttps://realpython.com/fibonacci-sequence-python/\n\ndef FibonacciGenerator(n):\n \"\"\" \n note: n is limit of fibonacci value rather than count\n \"\"\"\n a = 0\n b = 1\n while a < n:\n yield a\n a, b = b, a + b\n \n\ndef is_even(sequence):\n \"\"\" reduces a sequence to even numbers\n \"\"\"\n for n in sequence:\n if n % 2 == 0:\n yield n\n# Can consume generators by converting to list\nlist(is_even([1,2,3,4]))\n[2, 4]\nlist(FibonacciGenerator(500))\n[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377]\n# Build up sequences of manipulations in memory with generators \n# and selectively trigger consumption with \"list\" for efficiency. \n# Conceptually this is using lazy functions which we will talk more about.\nlist(is_even(FibonacciGenerator(500)))\n[0, 2, 8, 34, 144]\n\n\nKey points\n\nStay within the pandas, numpy ecosystem as much as possible (its c code under the hood)\nConsider building a series of generators\nThe GIL prevents python from utilising multple cores effectively on your machine." + "text": "Objectives\n\nRecap why pandas has been the go to package for most of python’s history.\nExplore pitfalls of pandas and python in general.\nWhat does parallel mean?\n\n\n\nWhat is Parallel - Why is python slow (sometimes)\nA process is a collection of resources including program files and memory, that operates as an independent entity. Since each process has a seperate memory space, it can operate independently from other processes. It cannot easily access shared data in other processes.\nA thread is the unit of execution within a process. A process can have anywhere from just one thread to many threads. Threads are considered lightweight because they use far less resources than processes. Threads also share the same memory space so are not independent.\nBack to python, the multiprocessing library was designed to break down the Global Interpreter Lock (GIL) that limits one thread to control the Python interpreter.\n\n\n\nImage\n\n\nIn Python, the things that are occurring simultaneously are called by different names (thread, task, process). While they all fall under the definition of concurrency (multiple things happening anaologous to different trains of thought), only multiprocessing actually runs these trains of thought at literally the same time. We will only cover multiprocessing here which assists in CPU bound operations - but keep in mind other methods exist (multi threading, message passing interface..), whose implementation tends to be more low level.\n\n\nPandas Dataframes - Recap The Staple of Python data manipulation\nPandas has been the standard in Python for many years\n\nHas an extensive set of Features.\nRepresent commond datastructures and operatings.\nEfficiency (when using the optimised c code under the hood).\nWide integration with other open source libraries.\n\nLets recap the Pandas syntax along with an example of a common workflow, focusing on pandas dataframes.\n# Import libraries and datasets\nimport pandas as pd\nimport numpy as np\nimport scipy as sp\nimport seaborn as sns\n\n#load the data\ndf = sns.load_dataset('diamonds')\ndf.to_csv('diamonds.csv')\ndf.head() #inspect DataFrame\n\n\n\n\n\n\n\ncarat\ncut\ncolor\nclarity\ndepth\ntable\nprice\nx\ny\nz\n\n\n\n\n0\n0.23\nIdeal\nE\nSI2\n61.5\n55.0\n326\n3.95\n3.98\n2.43\n\n\n1\n0.21\nPremium\nE\nSI1\n59.8\n61.0\n326\n3.89\n3.84\n2.31\n\n\n2\n0.23\nGood\nE\nVS1\n56.9\n65.0\n327\n4.05\n4.07\n2.31\n\n\n3\n0.29\nPremium\nI\nVS2\n62.4\n58.0\n334\n4.20\n4.23\n2.63\n\n\n4\n0.31\nGood\nJ\nSI2\n63.3\n58.0\n335\n4.34\n4.35\n2.75\n\n\n\n\n\n\n\nDataFrame Functions\nFunctions are available that are attached to the DataFrame class\nCommon methods are:\n\nfilter: Subset the dataframe columns or rows according to the specified index labels.\nassign: assign / mutate new columns in dataframe\nquery: query the columns of a DataFrame with a boolean expression\ngroupby : group dataframe into sections, usually followed by aggregations\napply : Apply a function along an axis of the DataFrame\n\n# A whole bunch of stuff - recap on pandas\n\n# Inspect dataframe attributes -------------------------------- \n\ndf.index # name of index, in this case a range\ndf.columns # variables carat to z\ndf.values # values as a numpy.ndarray\ndf.dtypes # data types of variables\ndf.shape # rows to column structure\ndf.ndim # number of dimensions\n\n\n# filter or create columns ------------------------------------------------\ndf.filter(['cut']) # returns pandas.DataFrame\ndf['cut'] # as opposed to this which returns pandas.Series or df.cut\ndf.filter([\"carat\",\"cut\"]) # filter more than one variables \ndf.filter(regex= \"^c\") # with regular expressions\ndf.filter([0,2,5], axis=0).head() # filter rows keeping in mind the index\n\ndf.assign(size = 1) #fills same value\ndf = df.assign(size = np.sqrt(df.x ** 2 + df.y ** 2 + df.z ** 2)) #element wise vector addition\n\n\n# subset observations with query ---------------------------------------------------------------- \n# The quotes in query need to be single-outside, double-inside \ndf.query('color == \"E\"') # filter observations by criteria\ndf.query('cut == \"Ideal\" or cut == \"Premium\"') # filter observations with logical expression\ndf.query('cut == \"Ideal\" | cut == \"Premium\"') # same thing\ndf.query(\"cut.str.match('^G')\") # query doesn't have regex parameter but can be incorporated via str attribute\ndf.query(\"clarity.str.contains('^\\w+1')\")\ndf.query('price > 500') # querying numeric\n\n\n# chaining manipulations\ndf.query('price < 500').head() \n\n(df\n .filter(['carat', 'color'])\n .query('color == \"E\"')\n .head(3))\n\n# Each column in the pd.Dataframe is pd.Series with methods available\ndf.cut # referenced column on its own\ndf.cut.value_counts() \ndf.cut.unique()\ndf.carat.mean()\n\n# groupby: splits DataFrame into multiple compartments and returns a group-by object\n# which aggregations can be applied on each group\ndf.groupby('cut').price.agg('std')\ndf.groupby('cut').mean(numeric_only=True)\n\n# apply functions : apply a function to a DataFrame over columns (axis = 1) or rows (axis = 0) \ndf.assign(norm = df.filter(['x','y','z']).apply(np.linalg.norm,axis = 1)) # element / rowwise norm equivalent\n\n# map : very similar to apply but acts on pd.Series rather than pd.DataFrame\ndf.price.map(lambda r : r + 1) #returns a pd.Series\n\n# applymap: Apply a function to a DataDrame element-wise\ndf.filter(['x','y','z']).applymap(lambda x : x **2) \n/var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/ipykernel_1074/1161367035.py:50: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n df.groupby('cut').price.agg('std')\n/var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/ipykernel_1074/1161367035.py:51: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n df.groupby('cut').mean(numeric_only=True)\n/var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/ipykernel_1074/1161367035.py:60: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n df.filter(['x','y','z']).applymap(lambda x : x **2)\n\n\n\n\n\n\n\nx\ny\nz\n\n\n\n\n0\n15.6025\n15.8404\n5.9049\n\n\n1\n15.1321\n14.7456\n5.3361\n\n\n2\n16.4025\n16.5649\n5.3361\n\n\n3\n17.6400\n17.8929\n6.9169\n\n\n4\n18.8356\n18.9225\n7.5625\n\n\n...\n...\n...\n...\n\n\n53935\n33.0625\n33.1776\n12.2500\n\n\n53936\n32.3761\n33.0625\n13.0321\n\n\n53937\n32.0356\n32.2624\n12.6736\n\n\n53938\n37.8225\n37.4544\n13.9876\n\n\n53939\n33.9889\n34.4569\n13.2496\n\n\n\n\n53940 rows × 3 columns\n\nAlot more functions available in Pandas API. Arguably too many to remember the syntax in an intuitive way.\n\n\nTypical workflow - Reading, Manipulating and Plotting\nThe below follows a generic workflow of reading and manipulation data for insight and visualisation. Note in each assignment calcuations are triggered. As data becomes larger this slows down computation (assuming the data fits in memory).\n\n#reading data\ndf = pd.read_csv('diamonds.csv') \n\n#subseting data\ndf_subset = (df \n .filter(['cut','carat','clarity','x','y','z','price'])\n .query('carat < 2.5'))\n\n#manipulating data for insight\npremium_by_clarity = (df.assign(demeaned = df.price - df.groupby('cut').price.transform('mean'))\n .groupby('clarity').price.mean()\n .sort_values())\n\npremium_by_clarity\nclarity\nVVS1 2523.114637\nIF 2864.839106\nVVS2 3283.737071\nVS1 3839.455391\nI1 3924.168691\nVS2 3924.989395\nSI1 3996.001148\nSI2 5063.028606\nName: price, dtype: float64\n#visualization\ndf_longer = (df_subset \n .melt(id_vars=['cut','price','clarity','carat'], \n value_vars = ['x','y','z'],\n value_name = \"dim\"\n )\n)\nsns.relplot(x=\"dim\", y=\"carat\", hue=\"cut\", size=\"price\",\n sizes=(10, 200), alpha=.5, palette=\"muted\",\n height=6, data=df_longer.query('dim < 12'));\n\n\n\nChallenge\nMake a plot of the carat vs price, group the colors by the cut and the symbol size by the color of the diamond. Limit the dataset to just show the “I1” clarity.\n\n\nSolution\n\nThis can be done in a few ways, but Seaborn interfaces with pandas-like dataframes seamlessly to make these simple data-manging tasks easy.\nsns.relplot(x=\"carat\", y=\"price\", hue=\"cut\",size='color',\n sizes=(10, 200), alpha=.5, palette=\"muted\",\n height=6, data=data.query('clarity == \"I1\"'))\n\n\nSome common issues with this typical workflow are:\n\nData may not fit easily into one dataframe\nEach data manipulation (and reassignment to a variable) triggers computation.\nPandas syntax sometimes difficult to understand and holds too many options to remember.\nPython GIL prevent threads from running at the same time (for now)\n\n\nAside - Generators may be helpful for functions you define yourself\nA Generator in Python is a function that returns an iterator (rather than an actual value/ set of values) using the Yield keyword. Think of it as defining the process rather than processing.\nA few useful links with ideas on how to do this:\n\nhttps://caam37830.github.io/book/index.html\nhttps://python-course.eu/\nhttps://realpython.com/fibonacci-sequence-python/\n\ndef FibonacciGenerator(n):\n \"\"\" \n note: n is limit of fibonacci value rather than count\n \"\"\"\n a = 0\n b = 1\n while a < n:\n yield a\n a, b = b, a + b\n \n\ndef is_even(sequence):\n \"\"\" reduces a sequence to even numbers\n \"\"\"\n for n in sequence:\n if n % 2 == 0:\n yield n\n# Can consume generators by converting to list\nlist(is_even([1,2,3,4]))\n[2, 4]\nlist(FibonacciGenerator(500))\n[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377]\n# Build up sequences of manipulations in memory with generators \n# and selectively trigger consumption with \"list\" for efficiency. \n# Conceptually this is using lazy functions which we will talk more about.\nlist(is_even(FibonacciGenerator(500)))\n[0, 2, 8, 34, 144]\n\n\nKey points\n\nStay within the pandas, numpy ecosystem as much as possible (its c code under the hood)\nConsider building a series of generators\nThe GIL prevents python from utilising multple cores effectively on your machine." }, { "objectID": "notebooks/polars-example.html", @@ -128,30 +128,30 @@ { "objectID": "notebooks/polars-intro.html", "href": "notebooks/polars-intro.html", - "title": "Polars - Getting to know the Syntax", + "title": "Polars", "section": "", "text": "Polars is a lightning fast DataFrame library. The key features of polars are:\nFast and Accessible: Written from scratch in Rust, designed close to the machine and without external dependencies. It also has python and R bindings!\nI/O: First class support for all common data storage layers: local, cloud storage & databases.\nHandle Datasets larger than RAM\nIntuitive API: Write your queries the way they were intended. Polars, internally, will determine the most efficient way to execute using its query optimizer.\nOut of Core: The streaming API allows you to process your results without requiring all your data to be in memory at the same time\nParallel: Utilises the power of your machine by dividing the workload among the available CPU cores without any additional configuration.\nThe philosophy of Polars is to provide a dataframe library that utilises available cores, has an intuitive api and is performant - hence adheres to a strict schema (data-types should be known before running the query)." }, { - "objectID": "notebooks/polars-intro.html#learning-the-syntax", - "href": "notebooks/polars-intro.html#learning-the-syntax", - "title": "Polars - Getting to know the Syntax", - "section": "Learning the Syntax", - "text": "Learning the Syntax\n# selecting columns ----------------------------------------------------------------\ndf.select(pl.col(\"float\")) # selecting a column\n\ndf.select(pl.col(\"date\",\"string\")) # selecting multiple columns \n\ndf.select(pl.col(\"*\").exclude(\"string\")) # select all columns then exclude\n\ndf.select(pl.col(\"^(da|fl).*$\")) # supports regular expressions\n\nimport polars.selectors as cs # selectors are helper funtions for selecting columns\n\ndf.select(cs.integer() | cs.contains(\"ate\")) # select all columns that are integers or contains ate\n\n# filtering rows ---------------------------------------------------------------------\ndf.filter(pl.col(\"integer\") >= 2) #filtering rows\n\ndf.filter((pl.col(\"integer\") >=2) & \n (pl.col(\"float\") == 5.0)) #filtering rows with multiple conditions (| = or & = and)\n\n#creating / manipulating columns -----------------------------------------------------\ndf.with_columns((pl.col(\"integer\") + 3).alias(\"new_column\")) # creating column and naming it\n\n#group by aggregations ----------------------------------------------------------------\ndf.group_by(\"string\").agg(pl.col(\"integer\").sum().alias(\"sum\"),\n pl.col(\"date\").sort().first().alias(\"earliest\"), \n pl.col(\"float\") / pl.col(\"integer\")) \n \n\nshape: (3, 4)\n\n\n\nstring\nsum\nearliest\nfloat\n\n\nstr\ni64\ndatetime[μs]\nlist[f64]\n\n\n\n\n\"a\"\n1\n2025-01-01 00:00:00\n[4.0]\n\n\n\"b\"\n6\n2025-01-02 00:00:00\n[2.5, 3.0]\n\n\n\"c\"\n3\n2025-01-03 00:00:00\n[2.0]\n\n\n\n\n# Can combine expressions for compactness\n\ndf3 = df.with_columns((pl.col(\"float\") * pl.col(\"integer\"))\n .alias(\"product\")).select(pl.all().exclude(\"integer\"))\n\nFor more information here are some links to relevant documentation:\nSelecting columns\nAggregation\nData Transformation such as join, Concatenation, pivot and unpivot.\nFunctions for expressions.\nCheck out the API documentation for more information\n\n\nData types and casting\nUnder the hood polars use Arrow data types and memory arrays and offer support for String, Numberic, Nested, Temporay and other types. Most data types are specified by the arrow syntax with the exception of String, Categorical and Object types.\nCategorical data represents string data where the values in the column have a finite set of values (yet for performance implementation different to strings). Polars supports both Enum data type, where categories are known up front, and the more flexible Categorical data type where values are not known beforehand. Conversion between them is trivial. Relying on polars inferring the categories with Categorical types comes at a performance cost (as the encoding is a dictionary like object). See Categorical page for more information.\nCasting (changing the datatypes) is enabled by either specifying the dtype argument or applying the cast() function.\n# Use Enum where categories are known\ncat_types = pl.Enum([\"polar\",\"panda\",\"teddy\"])\nanimals = pl.Series([\"polar\",\"polar\",\"teddy\",\"panda\"],dtype= cat_types)\n# Use Categprical otherwise\nfictional_animals = pl.Series([\"poobear\",\"minimouse\",\"teddy\",\"poobear\"],dtype= pl.Categorical)\n\n# casting columns to other data types with cast\ndf.cast({\"integer\": pl.Float32, \"float\": pl.UInt8})" + "objectID": "notebooks/polars-intro.html#getting-to-know-the-syntax", + "href": "notebooks/polars-intro.html#getting-to-know-the-syntax", + "title": "Polars", + "section": "Getting to know the syntax", + "text": "Getting to know the syntax\nWe will cover some basic syntax. Check out the API documentation for more information.\n\nReading and Writing Data\nPolars support reading and writing data many types of files. It also supporting reading from a database, or cloud storage. See the IO Documentation for more information.\n# writing data to disk\ndf.write_csv(\"output.csv\")\ndf.write_parquet(\"output.parquet\")\n# reading back into a polars dataframe\nnew_df = pl.read_csv(\"output.csv\")\nnew_df = pl.read_parquet(\"output.parquet\")\n\n# can convert back to pandas dataframe (or other types)\ndf.to_pandas() \n\n\n\n\n\n\n\ninteger\ndate\nfloat\nstring\n\n\n\n\n0\n1\n2025-01-01\n4.0\na\n\n\n1\n2\n2025-01-02\n5.0\nb\n\n\n2\n3\n2025-01-03\n6.0\nc\n\n\n3\n4\n2025-01-03\n12.0\nb\n\n\n\n\n\n# selecting columns ----------------------------------------------------------------\n\ndf.select(pl.col(\"float\")) # selecting a column\n\ndf.select(pl.col(\"date\",\"string\")) # selecting multiple columns \n\ndf.select(pl.col(\"*\").exclude(\"string\")) # select all columns then exclude\n\ndf.select(pl.col(\"^(da|fl).*$\")) # supports regular expressions\n\n# selectors are intuitive helper funtions for selecting columns by name or type\nimport polars.selectors as cs \n\ndf.select(cs.integer() | cs.contains(\"ate\")) # select all columns that are integers or contains ate\n\n# filtering rows ---------------------------------------------------------------------\n\ndf.filter(pl.col(\"integer\") >= 2) #filtering rows\n\ndf.filter((pl.col(\"integer\") >=2) & \n (pl.col(\"float\") == 5.0)) #filtering rows with multiple conditions (| = or & = and)\n\n#creating / manipulating columns -----------------------------------------------------\n\ndf.with_columns((pl.col(\"integer\") + 3).alias(\"new_column\")) # creating column and naming it\n\n#group by aggregations ----------------------------------------------------------------\n\ndf.group_by(\"string\").agg(pl.col(\"integer\").sum().alias(\"sum\"),\n pl.col(\"date\").sort().first().alias(\"earliest\"), \n pl.col(\"float\") / pl.col(\"integer\")) \n \n\nshape: (3, 4)\n\n\n\nstring\nsum\nearliest\nfloat\n\n\nstr\ni64\ndatetime[μs]\nlist[f64]\n\n\n\n\n\"b\"\n6\n2025-01-02 00:00:00\n[2.5, 3.0]\n\n\n\"a\"\n1\n2025-01-01 00:00:00\n[4.0]\n\n\n\"c\"\n3\n2025-01-03 00:00:00\n[2.0]\n\n\n\n\n# Can combine expressions for compactness\n\ndf3 = df.with_columns((pl.col(\"float\") * pl.col(\"integer\"))\n .alias(\"product\")).select(pl.all().exclude(\"integer\"))\n\n\nLinks to documentation:\nSelecting columns\nAggregation\nData Transformation such as join, Concatenation, pivot and unpivot.\nFunctions for expressions.\n\n\nData types and casting\nMost data types are specified by the arrow syntax with the exception of String, Categorical and Object types.\nCategorical data represents string data where the values in the column have a finite set of values (yet for performance implementation different to strings). Polars supports both Enum data type, where categories are known up front, and the more flexible Categorical data type where values are not known beforehand. Conversion between them is trivial. Relying on polars inferring the categories with Categorical types comes at a performance cost. See Categorical page for more information.\nCasting (changing the datatypes) is enabled by either specifying the dtype argument or applying the cast() function.\n# Use Enum where categories are known\ncat_types = pl.Enum([\"polar\",\"panda\",\"teddy\"])\nanimals = pl.Series([\"polar\",\"polar\",\"teddy\",\"panda\"],dtype= cat_types)\n# Use Categprical otherwise\nfictional_animals = pl.Series([\"poobear\",\"minimouse\",\"teddy\",\"poobear\"],dtype= pl.Categorical)\n\n# casting columns to other data types with cast\ndf.cast({\"integer\": pl.Float32, \"float\": pl.UInt8})\n\nshape: (4, 4)\n\n\n\ninteger\ndate\nfloat\nstring\n\n\nf32\ndatetime[μs]\nu8\nstr\n\n\n\n\n1.0\n2025-01-01 00:00:00\n4\n\"a\"\n\n\n2.0\n2025-01-02 00:00:00\n5\n\"b\"\n\n\n3.0\n2025-01-03 00:00:00\n6\n\"c\"\n\n\n4.0\n2025-01-03 00:00:00\n12\n\"b\"" }, { - "objectID": "notebooks/polars-intro.html#lazy-eager-api", - "href": "notebooks/polars-intro.html#lazy-eager-api", - "title": "Polars - Getting to know the Syntax", - "section": "Lazy / Eager API", - "text": "Lazy / Eager API\nPolars supports two modes of operation: lazy and eager. In the eager API the query is executed immediately while in the lazy API the query is only evaluated once it is ‘needed’. Deferring the execution to the last minute can have significant performance advantages.\nBefore we explore the two run this code to fetch the iris dataset\n# fetch iris dataset and save as csv in local path\nfrom ucimlrepo import fetch_ucirepo \nimport pandas as pd\niris = fetch_ucirepo(id=53) \nX = iris.data.features \ny = iris.data.targets \niris_df = pd.concat([X, y], axis=1)\niris_df.rename(columns={'class': 'species'}, inplace=True)\niris_df.to_csv(\"iris_data.csv\", index=False)\nIn this example we use the eager API we\n1. Read the iris dataset.\n2. Filter the dataset based on sepal length\n3. Calculate the mean of the sepal width per species\nEvery step is executed immediately returning the intermediate results. This can be very wasteful as we might do work or load extra data that is not being used.\ndf = pl.read_csv(\"iris_data.csv\")\ndf_small = df.filter(pl.col(\"sepal length\") > 5)\ndf_agg = df_small.group_by(\"species\").agg(pl.col(\"sepal width\").mean())\nIf we instead used the lazy API and waited on execution until all the steps are defined then the query planner could perform various optimizations. In this case:\n\nPredicate pushdown: Apply filters as early as possible while reading the dataset, thus only reading rows with sepal length greater than 5.\nProjection pushdown: Select only the columns that are needed while reading the dataset, thus removing the need to load additional columns (e.g. petal length & petal width)\n\nq = (\n pl.scan_csv(\"iris_data.csv\") #doesnt read it all before other operation is performed\n .filter(pl.col(\"sepal length\") > 5)\n .group_by(\"species\").agg(pl.col(\"sepal width\").mean())\n)\n\nq # a lazyframe\n\ndf_agg = q.collect() # inform polars that you want to execute the query\ndf_agg = q.collect(streaming=True) # with streaming mode\nStreaming\nOne additional benefit of the lazy API is that it allows queries to be executed in a streaming manner. Instead of processing the data all-at-once Polars can execute the query in batches allowing you to process datasets that are larger-than-memory.\nTo tell Polars we want to execute a query in streaming mode we pass the streaming=True argument to collect. See here for more info on streaming.\nWhen to use Lazy versus Eager:\nIn general the lazy API should be preferred unless you are either interested in the intermediate results or are doing exploratory work and don’t know yet what your query is going to look like\n\nTypical pipeline Demo\nGiven your new knowledge of polars, here is an example on how to integrate into the usual pipeline consisting of:\n\nData ingestion and manipulation.\nData visualization\nModel Preperation - Training and Testing\nPrediction\n\n\n# Do you aggregating and manipulation to clean data\n# keep \"as lazy\" as possible\nq = (\n pl.scan_csv(\"iris_data.csv\") # data manipulation stuff - trivial example\n .filter(pl.col(\"sepal length\") > 2)\n)\n\niris_df = q.collect() #trigger computation on and store the polars dataframe" + "objectID": "notebooks/polars-intro.html#lazy-eager-and-streaming", + "href": "notebooks/polars-intro.html#lazy-eager-and-streaming", + "title": "Polars", + "section": "Lazy / Eager and Streaming", + "text": "Lazy / Eager and Streaming\nPolars supports two modes of operation: lazy and eager. In the eager API the query is executed immediately while in the lazy API the query is only evaluated once it is ‘needed’. Deferring the execution to the last minute can have significant performance advantages.\nAn example of using the eager API is below. Every step is executed immediately returning the intermediate results. This can be very wasteful as we might do work or load extra data that is not being used.\ndf = pl.read_csv(\"iris_data.csv\") #read the iris dataset\ndf_small = df.filter(pl.col(\"sepal length\") > 5) #filter\ndf_agg = df_small.group_by(\"species\").agg(pl.col(\"sepal width\").mean()) #mean of the sepal width per species\nIf we instead used the lazy API and waited on execution until all the steps are defined then the query planner could perform various optimizations.\nq = (\n pl.scan_csv(\"iris_data.csv\") #doesnt read it all before other operation is performed\n .filter(pl.col(\"sepal length\") > 5)\n .group_by(\"species\").agg(pl.col(\"sepal width\").mean())\n)\n\nq # a lazyframe\n\ndf_agg = q.collect() # inform polars that you want to execute the query\ndf_agg = q.collect(streaming=True) # with streaming mode to process in batches\nStreaming\nOne additional benefit of the lazy API is that it allows queries to be executed in a streaming manner. Instead of processing the data all-at-once Polars can execute the query in batches allowing you to process datasets that are larger-than-memory. See here for more info on streaming.\nWhen to use Lazy versus Eager:\nIn general the lazy API should be preferred unless you are either interested in the intermediate results or are doing exploratory work and don’t know yet what your query is going to look like\nWhen using Lazy mode, apply filteres as early as possible before reading the data. Only select column you need.\n\nCommon Machine Learning Workflow\nGiven your new knowledge of polars, here is an example on how to integrate into the usual pipeline consisting of data ingestion and manipulation, model preperation and prediction.\n# loading libraries\n!pip install ucimlrepo\n!pip install scikit-learn==1.4\nimport numpy as np\nfrom sklearn.tree import DecisionTreeClassifier\nfrom sklearn.tree import plot_tree\nfrom matplotlib import pylab as plt\n# Fit a descision tree from polars dataframe object\ndf = pl.read_csv(\"iris_data.csv\")\ndata = df.select(['sepal length', 'sepal width', 'petal length', 'petal width'])\ntarget = df.select(['species']).to_series()\nclf = DecisionTreeClassifier()\nmodel = clf.fit(data, target)\n# Plot the decision tree\nplot_tree(clf, filled=True, feature_names=data.columns)\nplt.title(\"Decision tree trained on all the iris features\")\nplt.show()\n\n# Add predicitions to the polars dataframe\npredict_df = pl.concat([df,\n pl.DataFrame(model.predict(data), schema=[\"predict\"])],\n how=\"horizontal\")\nprint(predict_df.sample(8))\nshape: (8, 6)\n┌──────────────┬─────────────┬──────────────┬─────────────┬─────────────────┬─────────────────┐\n│ sepal length ┆ sepal width ┆ petal length ┆ petal width ┆ species ┆ predict │\n│ — ┆ — ┆ — ┆ — ┆ — ┆ — │\n│ f64 ┆ f64 ┆ f64 ┆ f64 ┆ str ┆ str │\n╞══════════════╪═════════════╪══════════════╪═════════════╪═════════════════╪═════════════════╡\n│ 6.0 ┆ 3.4 ┆ 4.5 ┆ 1.6 ┆ Iris-versicolor ┆ Iris-versicolor │\n│ 6.3 ┆ 2.8 ┆ 5.1 ┆ 1.5 ┆ Iris-virginica ┆ Iris-virginica │\n│ 5.7 ┆ 4.4 ┆ 1.5 ┆ 0.4 ┆ Iris-setosa ┆ Iris-setosa │\n│ 5.8 ┆ 2.7 ┆ 5.1 ┆ 1.9 ┆ Iris-virginica ┆ Iris-virginica │\n│ 6.6 ┆ 3.0 ┆ 4.4 ┆ 1.4 ┆ Iris-versicolor ┆ Iris-versicolor │\n│ 6.9 ┆ 3.1 ┆ 5.4 ┆ 2.1 ┆ Iris-virginica ┆ Iris-virginica │\n│ 6.7 ┆ 2.5 ┆ 5.8 ┆ 1.8 ┆ Iris-virginica ┆ Iris-virginica │\n│ 4.8 ┆ 3.0 ┆ 1.4 ┆ 0.3 ┆ Iris-setosa ┆ Iris-setosa │\n└──────────────┴─────────────┴──────────────┴─────────────┴─────────────────┴─────────────────┘" }, { "objectID": "notebooks/polars-intro.html#ecosystem", "href": "notebooks/polars-intro.html#ecosystem", - "title": "Polars - Getting to know the Syntax", + "title": "Polars", "section": "Ecosystem", - "text": "Ecosystem\nOn this page you can find a non-exhaustive list of libraries and tools that support Polars. As the data ecosystem is evolving fast, more libraries will likely support Polars in the future. One of the main drivers is that Polars makes adheres its memory layout to the Apache Arrow spec.\n# Polars dataframs has kMachine learning \n\n# Example preprocessing with Polars: Adding a new feature\niris_df = df.with_columns(\n (df['sepal length'] * df['sepal width']).alias('sepal area')\n)\n\n# Separate features and target for scikit-learn\nX = iris_df.select(['sepal length', 'sepal width', 'petal length', 'petal width', 'sepal area'])\ny = iris_df.select('species').to_series()" + "text": "Ecosystem\nOn the Supported Polars Ecosystem page you can find a non-exhaustive list of libraries and tools that support Polars.\nAs the data ecosystem is evolving fast, more libraries will likely support Polars in the future." }, { "objectID": "notebooks/01c-scientific_computing.html", diff --git a/fig/polars.png b/fig/polars.png new file mode 100644 index 0000000000000000000000000000000000000000..1a11aba6b1d66e5057338366b1f24d0161e96fa1 GIT binary patch literal 1140079 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    \n", + "" + ], + "text/plain": [ + " integer date float string\n", + "0 1 2025-01-01 4.0 a\n", + "1 2 2025-01-02 5.0 b\n", + "2 3 2025-01-03 6.0 c\n", + "3 4 2025-01-03 12.0 b" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# writing data to disk\n", "df.write_csv(\"output.csv\")\n", @@ -142,18 +231,9 @@ "df.to_pandas() " ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Learning the Syntax\n", - "\n", - "\n" - ] - }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -166,7 +246,7 @@ " white-space: pre-wrap;\n", "}\n", "\n", - "shape: (3, 4)
    stringsumearliestfloat
    stri64datetime[μs]list[f64]
    "a"12025-01-01 00:00:00[4.0]
    "b"62025-01-02 00:00:00[2.5, 3.0]
    "c"32025-01-03 00:00:00[2.0]
    " + "shape: (3, 4)
    stringsumearliestfloat
    stri64datetime[μs]list[f64]
    "b"62025-01-02 00:00:00[2.5, 3.0]
    "a"12025-01-01 00:00:00[4.0]
    "c"32025-01-03 00:00:00[2.0]
    " ], "text/plain": [ "shape: (3, 4)\n", @@ -175,19 +255,20 @@ "│ --- ┆ --- ┆ --- ┆ --- │\n", "│ str ┆ i64 ┆ datetime[μs] ┆ list[f64] │\n", "╞════════╪═════╪═════════════════════╪════════════╡\n", - "│ a ┆ 1 ┆ 2025-01-01 00:00:00 ┆ [4.0] │\n", "│ b ┆ 6 ┆ 2025-01-02 00:00:00 ┆ [2.5, 3.0] │\n", + "│ a ┆ 1 ┆ 2025-01-01 00:00:00 ┆ [4.0] │\n", "│ c ┆ 3 ┆ 2025-01-03 00:00:00 ┆ [2.0] │\n", "└────────┴─────┴─────────────────────┴────────────┘" ] }, - "execution_count": 19, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# selecting columns ----------------------------------------------------------------\n", + "\n", "df.select(pl.col(\"float\")) # selecting a column\n", "\n", "df.select(pl.col(\"date\",\"string\")) # selecting multiple columns \n", @@ -196,20 +277,24 @@ "\n", "df.select(pl.col(\"^(da|fl).*$\")) # supports regular expressions\n", "\n", - "import polars.selectors as cs # selectors are helper funtions for selecting columns\n", + "# selectors are intuitive helper funtions for selecting columns by name or type\n", + "import polars.selectors as cs \n", "\n", "df.select(cs.integer() | cs.contains(\"ate\")) # select all columns that are integers or contains ate\n", "\n", "# filtering rows ---------------------------------------------------------------------\n", + "\n", "df.filter(pl.col(\"integer\") >= 2) #filtering rows\n", "\n", "df.filter((pl.col(\"integer\") >=2) & \n", " (pl.col(\"float\") == 5.0)) #filtering rows with multiple conditions (| = or & = and)\n", "\n", "#creating / manipulating columns -----------------------------------------------------\n", + "\n", "df.with_columns((pl.col(\"integer\") + 3).alias(\"new_column\")) # creating column and naming it\n", "\n", "#group by aggregations ----------------------------------------------------------------\n", + "\n", "df.group_by(\"string\").agg(pl.col(\"integer\").sum().alias(\"sum\"),\n", " pl.col(\"date\").sort().first().alias(\"earliest\"), \n", " pl.col(\"float\") / pl.col(\"integer\")) \n", @@ -218,7 +303,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -232,7 +317,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### For more information here are some links to relevant documentation:\n", + "### Links to documentation:\n", "\n", "\n", "[Selecting columns](https://docs.pola.rs/user-guide/expressions/column-selections/)\n", @@ -242,8 +327,7 @@ "[Data Transformation](https://docs.pola.rs/user-guide/transformations/) such as join, Concatenation, pivot and unpivot. \n", "\n", "[Functions for expressions](https://docs.pola.rs/api/python/stable/reference/expressions/functions.html/). \n", - "\n", - "Check out the [API documentation](https://docs.pola.rs/api/python/stable/reference/index.html) for more information " + "\n" ] }, { @@ -252,18 +336,49 @@ "source": [ "### Data types and casting\n", "\n", - "Under the hood polars use Arrow data types and memory arrays and offer support for String, Numberic, Nested, Temporay and other types. Most [data types](https://docs.pola.rs/user-guide/concepts/data-types/overview/) are specified by the arrow syntax with the exception of String, Categorical and Object types.\n", + "Most [data types](https://docs.pola.rs/user-guide/concepts/data-types/overview/) are specified by the arrow syntax with the exception of String, Categorical and Object types.\n", "\n", - "Categorical data represents string data where the values in the column have a finite set of values (yet for performance implementation different to strings). Polars supports both **Enum** data type, where categories are known up front, and the more flexible **Categorical** data type where values are not known beforehand. Conversion between them is trivial. Relying on polars inferring the categories with Categorical types comes at a performance cost (as the encoding is a dictionary like object). See [Categorical](https://docs.pola.rs/user-guide/concepts/data-types/categoricals/#categorical-data-type) page for more information.\n", + "**Categorical** data represents string data where the values in the column have a finite set of values (yet for performance implementation different to strings). Polars supports both **Enum** data type, where categories are known up front, and the more flexible Categorical data type where values are not known beforehand. Conversion between them is trivial. Relying on polars inferring the categories with Categorical types comes at a performance cost. See [Categorical](https://docs.pola.rs/user-guide/concepts/data-types/categoricals/#categorical-data-type) page for more information.\n", "\n", "Casting (changing the datatypes) is enabled by either specifying the dtype argument or applying the cast() function." ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "

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    3.02025-01-03 00:00:006"c"
    4.02025-01-03 00:00:0012"b"
    " + ], + "text/plain": [ + "shape: (4, 4)\n", + "┌─────────┬─────────────────────┬───────┬────────┐\n", + "│ integer ┆ date ┆ float ┆ string │\n", + "│ --- ┆ --- ┆ --- ┆ --- │\n", + "│ f32 ┆ datetime[μs] ┆ u8 ┆ str │\n", + "╞═════════╪═════════════════════╪═══════╪════════╡\n", + "│ 1.0 ┆ 2025-01-01 00:00:00 ┆ 4 ┆ a │\n", + "│ 2.0 ┆ 2025-01-02 00:00:00 ┆ 5 ┆ b │\n", + "│ 3.0 ┆ 2025-01-03 00:00:00 ┆ 6 ┆ c │\n", + "│ 4.0 ┆ 2025-01-03 00:00:00 ┆ 12 ┆ b │\n", + "└─────────┴─────────────────────┴───────┴────────┘" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Use Enum where categories are known\n", "cat_types = pl.Enum([\"polar\",\"panda\",\"teddy\"])\n", @@ -279,67 +394,39 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Lazy / Eager API\n", - "\n", - "Polars supports two modes of operation: lazy and eager. In the eager API the query is executed immediately while in the lazy API the query is only evaluated once it is 'needed'. Deferring the execution to the last minute can have significant performance advantages.\n", + "## Lazy / Eager and Streaming\n", "\n", - "Before we explore the two run this code to fetch the iris dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "# fetch iris dataset and save as csv in local path\n", - "from ucimlrepo import fetch_ucirepo \n", - "import pandas as pd\n", - "iris = fetch_ucirepo(id=53) \n", - "X = iris.data.features \n", - "y = iris.data.targets \n", - "iris_df = pd.concat([X, y], axis=1)\n", - "iris_df.rename(columns={'class': 'species'}, inplace=True)\n", - "iris_df.to_csv(\"iris_data.csv\", index=False)" + "Polars supports two modes of operation: lazy and eager. In the eager API the query is executed immediately while in the lazy API the query is only evaluated once it is 'needed'. Deferring the execution to the last minute can have significant performance advantages.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "In this example we use the eager API we\n", - "1. Read the iris dataset.\n", - "2. Filter the dataset based on sepal length\n", - "3. Calculate the mean of the sepal width per species\n", - "\n", - "Every step is executed immediately returning the intermediate results. This can be very wasteful as we might do work or load extra data that is not being used.\n" + "An example of using the eager API is below. Every step is executed immediately returning the intermediate results. This can be very wasteful as we might do work or load extra data that is not being used.\n" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ - "df = pl.read_csv(\"iris_data.csv\")\n", - "df_small = df.filter(pl.col(\"sepal length\") > 5)\n", - "df_agg = df_small.group_by(\"species\").agg(pl.col(\"sepal width\").mean())" + "df = pl.read_csv(\"iris_data.csv\") #read the iris dataset\n", + "df_small = df.filter(pl.col(\"sepal length\") > 5) #filter\n", + "df_agg = df_small.group_by(\"species\").agg(pl.col(\"sepal width\").mean()) #mean of the sepal width per species" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "If we instead used the lazy API and waited on execution until all the steps are defined then the query planner could perform various optimizations. In this case:\n", - "\n", - "1. Predicate pushdown: Apply filters as early as possible while reading the dataset, thus only reading rows with sepal length greater than 5.\n", - "\n", - "2. Projection pushdown: Select only the columns that are needed while reading the dataset, thus removing the need to load additional columns (e.g. petal length & petal width)\n" + "If we instead used the lazy API and waited on execution until all the steps are defined then the query planner could perform various optimizations. " ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -352,7 +439,7 @@ "q # a lazyframe\n", "\n", "df_agg = q.collect() # inform polars that you want to execute the query\n", - "df_agg = q.collect(streaming=True) # with streaming mode" + "df_agg = q.collect(streaming=True) # with streaming mode to process in batches" ] }, { @@ -361,77 +448,123 @@ "source": [ "**Streaming** \n", "\n", - "One additional benefit of the lazy API is that it allows queries to be executed in a streaming manner. Instead of processing the data all-at-once Polars can execute the query in batches allowing you to process datasets that are larger-than-memory. \n", - "\n", - "To tell Polars we want to execute a query in streaming mode we pass the streaming=True argument to collect. See [here](https://docs.pola.rs/user-guide/concepts/streaming/#when-is-streaming-available) for more info on streaming.\n", + "One additional benefit of the lazy API is that it allows queries to be executed in a streaming manner. Instead of processing the data all-at-once Polars can execute the query in batches allowing you to process datasets that are larger-than-memory. See [here](https://docs.pola.rs/user-guide/concepts/streaming/#when-is-streaming-available) for more info on streaming.\n", "\n", "**When to use Lazy versus Eager**:\n", "\n", - "In general the lazy API should be preferred unless you are either interested in the intermediate results or are doing exploratory work and don't know yet what your query is going to look like" + "In general the lazy API should be preferred unless you are either interested in the intermediate results or are doing exploratory work and don't know yet what your query is going to look like\n", + "\n", + "When using Lazy mode, apply filteres as early as possible before reading the data. Only select column you need." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Typical pipeline Demo \n", - "\n", - "Given your new knowledge of polars, here is an example on how to integrate into the usual pipeline consisting of:\n", + "### Common Machine Learning Workflow\n", "\n", - "1. Data ingestion and manipulation.\n", - "\n", - "2. Data visualization\n", - "\n", - "3. Model Preperation - Training and Testing\n", - "\n", - "4. Prediction " + "Given your new knowledge of polars, here is an example on how to integrate into the usual pipeline consisting of data ingestion and manipulation, model preperation and prediction." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ - "\n", - "# Do you aggregating and manipulation to clean data\n", - "# keep \"as lazy\" as possible\n", - "q = (\n", - " pl.scan_csv(\"iris_data.csv\") # data manipulation stuff - trivial example\n", - " .filter(pl.col(\"sepal length\") > 2)\n", - ")\n", - "\n", - "iris_df = q.collect() #trigger computation on and store the polars dataframe" + "# loading libraries\n", + "!pip install ucimlrepo\n", + "!pip install scikit-learn==1.4\n", + "import numpy as np\n", + "from sklearn.tree import DecisionTreeClassifier\n", + "from sklearn.tree import plot_tree\n", + "from matplotlib import pylab as plt" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 14, "metadata": {}, + "outputs": [], "source": [ - "## Ecosystem\n", - "\n", - "On [this](https://docs.pola.rs/user-guide/ecosystem/#key-features) page you can find a non-exhaustive list of libraries and tools that support Polars. As the data ecosystem is evolving fast, more libraries will likely support Polars in the future. One of the main drivers is that Polars makes adheres its memory layout to the Apache Arrow spec.\n", - "\n", - "\n", - "\n" + "# Fit a descision tree from polars dataframe object\n", + "df = pl.read_csv(\"iris_data.csv\")\n", + "data = df.select(['sepal length', 'sepal width', 'petal length', 'petal width'])\n", + "target = df.select(['species']).to_series()\n", + "clf = DecisionTreeClassifier()\n", + "model = clf.fit(data, target)" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# Polars dataframs has kMachine learning \n", + "# Plot the decision tree\n", + "plot_tree(clf, filled=True, feature_names=data.columns)\n", + "plt.title(\"Decision tree trained on all the iris features\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "shape: (8, 6)\n", + "┌──────────────┬─────────────┬──────────────┬─────────────┬─────────────────┬─────────────────┐\n", + "│ sepal length ┆ sepal width ┆ petal length ┆ petal width ┆ species ┆ predict │\n", + "│ --- ┆ --- ┆ --- ┆ --- ┆ --- ┆ --- │\n", + "│ f64 ┆ f64 ┆ f64 ┆ f64 ┆ str ┆ str │\n", + "╞══════════════╪═════════════╪══════════════╪═════════════╪═════════════════╪═════════════════╡\n", + "│ 6.0 ┆ 3.4 ┆ 4.5 ┆ 1.6 ┆ Iris-versicolor ┆ Iris-versicolor │\n", + "│ 6.3 ┆ 2.8 ┆ 5.1 ┆ 1.5 ┆ Iris-virginica ┆ Iris-virginica │\n", + "│ 5.7 ┆ 4.4 ┆ 1.5 ┆ 0.4 ┆ Iris-setosa ┆ Iris-setosa │\n", + "│ 5.8 ┆ 2.7 ┆ 5.1 ┆ 1.9 ┆ Iris-virginica ┆ Iris-virginica │\n", + "│ 6.6 ┆ 3.0 ┆ 4.4 ┆ 1.4 ┆ Iris-versicolor ┆ Iris-versicolor │\n", + "│ 6.9 ┆ 3.1 ┆ 5.4 ┆ 2.1 ┆ Iris-virginica ┆ Iris-virginica │\n", + "│ 6.7 ┆ 2.5 ┆ 5.8 ┆ 1.8 ┆ Iris-virginica ┆ Iris-virginica │\n", + "│ 4.8 ┆ 3.0 ┆ 1.4 ┆ 0.3 ┆ Iris-setosa ┆ Iris-setosa │\n", + "└──────────────┴─────────────┴──────────────┴─────────────┴─────────────────┴─────────────────┘\n" + ] + } + ], + "source": [ + "# Add predicitions to the polars dataframe\n", + "predict_df = pl.concat([df,\n", + " pl.DataFrame(model.predict(data), schema=[\"predict\"])],\n", + " how=\"horizontal\")\n", + "print(predict_df.sample(8))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ecosystem\n", "\n", - "# Example preprocessing with Polars: Adding a new feature\n", - "iris_df = df.with_columns(\n", - " (df['sepal length'] * df['sepal width']).alias('sepal area')\n", - ")\n", + "On the [Supported Polars Ecosystem](https://docs.pola.rs/user-guide/ecosystem/#key-features) page you can find a non-exhaustive list of libraries and tools that support Polars. \n", + "\n", + "As the data ecosystem is evolving fast, more libraries will likely support Polars in the future.\n", "\n", - "# Separate features and target for scikit-learn\n", - "X = iris_df.select(['sepal length', 'sepal width', 'petal length', 'petal width', 'sepal area'])\n", - "y = iris_df.select('species').to_series()\n" + "\n", + "\n" ] } ], From 01cfd1f554b8f10bf8ec11c66e75d80b6515705d Mon Sep 17 00:00:00 2001 From: Kris Date: Tue, 30 Jul 2024 16:47:22 +1000 Subject: [PATCH 6/9] reducing content --- _quarto.yml | 2 - docs/index.html | 6 +-- docs/notebooks/01a-pandas_fundamentals.html | 56 ++++++++++++++------ docs/notebooks/01b-TransitionToDask.html | 12 ++--- docs/notebooks/01c-Scientific_Computing.html | 46 ++-------------- docs/notebooks/01d-dask_delayed.html | 6 +-- docs/notebooks/polars-example.html | 6 +-- docs/notebooks/polars-intro.html | 6 +-- docs/search.json | 36 ++++++------- docs/setup.html | 6 +-- notebooks/01a-pandas_fundamentals.ipynb | 39 +++++++++++--- notebooks/01b-TransitionToDask.ipynb | 6 +-- notebooks/01c-scientific_computing.ipynb | 38 +------------ 13 files changed, 108 insertions(+), 157 deletions(-) diff --git a/_quarto.yml b/_quarto.yml index 328201a..5172143 100644 --- a/_quarto.yml +++ b/_quarto.yml @@ -18,8 +18,6 @@ website: - text: "Dask" href: notebooks/01b-TransitionToDask.html - text: "Scientific Computing" - href: notebooks/01c-Scientific_Computing.html - - text: "Dask Delayed" href: notebooks/01d-dask_delayed.html diff --git a/docs/index.html b/docs/index.html index 55984b0..8641a6f 100644 --- a/docs/index.html +++ b/docs/index.html @@ -100,14 +100,10 @@ -
    diff --git a/docs/notebooks/01a-pandas_fundamentals.html b/docs/notebooks/01a-pandas_fundamentals.html index 6b9cdd6..7129120 100644 --- a/docs/notebooks/01a-pandas_fundamentals.html +++ b/docs/notebooks/01a-pandas_fundamentals.html @@ -137,14 +137,10 @@ - @@ -201,19 +203,37 @@

    Objectives

  • What does parallel mean?
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    What is Parallel - Why is python slow (sometimes)

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    A process is a collection of resources including program files and memory, that operates as an independent entity. Since each process has a seperate memory space, it can operate independently from other processes. It cannot easily access shared data in other processes.

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    A thread is the unit of execution within a process. A process can have anywhere from just one thread to many threads. Threads are considered lightweight because they use far less resources than processes. Threads also share the same memory space so are not independent.

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    Back to python, the multiprocessing library was designed to break down the Global Interpreter Lock (GIL) that limits one thread to control the Python interpreter.

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    Background: What is Parallel Python?

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    Parallel computing is when many different tasks are carried out simultaneously. Python does this by creating independent processes that ship data, program files and libraries to an isolated ecosystem where computation is performed. There are three main models for parallel computing:

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    • Embarrassingly parallel: the code does not need to synchronize/communicate with other instances, and you can run multiple instances of the code separately, and combine the results later. If you can do this, great! (array jobs, task queues)

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    • Shared memory parallelism: Parallel threads need to communicate and do so via the same memory (variables, state, etc). (OpenMP)

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    • Message passing: Different processes manage their own memory segments. They share data by communicating (passing messages) as needed. (Message Passing Interface (MPI)).

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    Modern approaches to speed up code

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    Traditional implemententations of making code parallel are done on a low level.

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    However, open source software has evolved dramatically over the last few years allowing more high level implementations and concise ‘pythonic’ syntax that wraps around low level tools. These modern tools also address the nature of why code takes long to run in the Big Data / Data Science world we live in, that is, function / compute-bound and data-bound bottlenecks,with a more accessible high level syntax.

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    The focus on this course is to use these modern high level implementations to address both Data and Function Bound bottlenecks.

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    Some terminology: Processes, threads and shared memory

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    • A process is a collection of resources including program files and memory that operates as an independent entity. Since each process has a seperate memory space, it can operate independently from other processes. It cannot easily access shared data in other processes.

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    • A thread is the unit of execution within a process. A process can have anywhere from just one thread to many threads. Threads are considered lightweight because they use far less resources than processes. Threads also share the same memory space so are not independent.

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    In Python, the things that are occurring simultaneously are called by different names (thread, task, process). While they all fall under the definition of concurrency (multiple things happening anaologous to different trains of thought), only multiprocessing actually runs these trains of thought at literally the same time. We will only cover multiprocessing here which assists in CPU bound operations - but keep in mind other methods exist (multi threading, message passing interface..), whose implementation tends to be more low level.

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    The designers of the Python language made the choice that only one thread in a process can run actual Python code by using the so-called global interpreter lock (GIL).

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    External libraries (NumPy, SciPy, Pandas, etc), written in C or other languages, can release the lock and run multi-threaded. Code writen in native Python has the GIL limitation.

    +

    The multiprocessing library can be used to release the GIL on native Python code. However, modern packages such as Dask and Polars use it under the hood without specifying pools of resources to be used.

    Pandas Dataframes - Recap The Staple of Python data manipulation

    Pandas has been the standard in Python for many years

    @@ -594,6 +614,8 @@

    Key points

    + +

    Client

    -

    Client-a102ceae-4a3f-11ef-890e-d687d7367289

    +

    Client-282909c2-4e0d-11ef-8d95-d687d7367288

    @@ -599,7 +597,7 @@

    Clus

    LocalCluster

    -

    40a61b40

    +

    2c397460

    @@ -626,11 +624,11 @@

    Sc

    Scheduler

    -

    Scheduler-bd6ab190-cc77-4a45-9877-db3c9fae6eb1

    +

    Scheduler-07b1460e-b35e-4c3c-afc5-5a9b007d4875

    - + @@ -656,19 +654,19 @@

    - + - + - + - +
    Comm: tcp://127.0.0.1:50944Comm: tcp://127.0.0.1:50573 Workers: 5
    Comm: tcp://127.0.0.1:50960Comm: tcp://127.0.0.1:50592 Total threads: 2
    Dashboard: http://127.0.0.1:50967/statusDashboard: http://127.0.0.1:50597/status Memory: 6.40 GiB
    Nanny: tcp://127.0.0.1:50947Nanny: tcp://127.0.0.1:50576
    Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-41zn61zxLocal directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-jt_xmqss
    @@ -683,19 +681,19 @@

    -Comm: tcp://127.0.0.1:50963 +Comm: tcp://127.0.0.1:50593 Total threads: 2 -Dashboard: http://127.0.0.1:50968/status +Dashboard: http://127.0.0.1:50598/status Memory: 6.40 GiB -Nanny: tcp://127.0.0.1:50948 +Nanny: tcp://127.0.0.1:50577 -Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-91692av2 +Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-1c5y5lww @@ -710,19 +708,19 @@

    -Comm: tcp://127.0.0.1:50961 +Comm: tcp://127.0.0.1:50594 Total threads: 2 -Dashboard: http://127.0.0.1:50964/status +Dashboard: http://127.0.0.1:50599/status Memory: 6.40 GiB -Nanny: tcp://127.0.0.1:50949 +Nanny: tcp://127.0.0.1:50578 -Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-kvhj80x5 +Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-3b1scof8 @@ -737,19 +735,19 @@

    -Comm: tcp://127.0.0.1:50959 +Comm: tcp://127.0.0.1:50595 Total threads: 2 -Dashboard: http://127.0.0.1:50966/status +Dashboard: http://127.0.0.1:50604/status Memory: 6.40 GiB -Nanny: tcp://127.0.0.1:50950 +Nanny: tcp://127.0.0.1:50579 -Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-k75empbg +Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-rkqgplj_ @@ -764,19 +762,19 @@

    -Comm: tcp://127.0.0.1:50962 +Comm: tcp://127.0.0.1:50596 Total threads: 2 -Dashboard: http://127.0.0.1:50965/status +Dashboard: http://127.0.0.1:50603/status Memory: 6.40 GiB -Nanny: tcp://127.0.0.1:50951 +Nanny: tcp://127.0.0.1:50580 -Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-q_dwp3u5 +Local directory: /var/folders/j2/6znnc26n7r9gk1qjgh7wy6bh0000gn/T/dask-scratch-space/worker-n26yax3w @@ -810,8 +808,8 @@

    y = da.random.random(size = (10_000,10_000,10), chunks= (1000,1000,5)) z = (da.arcsin(x) + da.arcsin(y)).sum(axis = (1,2)) z.compute()