{ "cells": [ { "cell_type": "markdown", "id": "046e029c", "metadata": {}, "source": [ "# Logging Plots as PNGs" ] }, { "cell_type": "markdown", "id": "24c9f6dc", "metadata": {}, "source": [ "`rubicon_ml` makes it easy to log `Plotly` plots and images with `artifacts`. In this example we'll walk through creating a plot using `plotly.express` and saving it as an `artifact`.\n", "\n", "Before getting started, we'll have to install some dependencies for this example." ] }, { "cell_type": "code", "execution_count": 1, "id": "f4ed1f85-e2f9-45ae-9b23-c4e06731fc7f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: Pillow in /Users/nvd215/mambaforge/envs/rubicon-ml-dev/lib/python3.10/site-packages (9.2.0)\n" ] } ], "source": [ "! pip install kaleido Pillow" ] }, { "cell_type": "markdown", "id": "68ed6c66", "metadata": {}, "source": [ "## Set up\n", "First lets set up our `rubicon_ml` project." ] }, { "cell_type": "code", "execution_count": 2, "id": "22a40144", "metadata": {}, "outputs": [], "source": [ "import os\n", "\n", "from rubicon_ml import Rubicon\n", "\n", "\n", "rubicon = Rubicon(persistence=\"memory\")\n", "project = rubicon.get_or_create_project(\"Artifact Plots\")" ] }, { "cell_type": "markdown", "id": "8b07aa77", "metadata": {}, "source": [ "Next, create plotting data. This example leverages `plotly` and `plotly.express` for data and plot generation." ] }, { "cell_type": "code", "execution_count": 3, "id": "4ccb7530", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " direction strength frequency\n", "0 N 0-1 0.5\n", "1 NNE 0-1 0.6\n", "2 NE 0-1 0.5\n", "3 ENE 0-1 0.4\n", "4 E 0-1 0.4" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import plotly.express as px\n", "from plotly import data\n", "\n", "\n", "df = data.wind()\n", "df.head()" ] }, { "cell_type": "markdown", "id": "48f725e0", "metadata": {}, "source": [ "Using the plotting data generated, create a plot and save it to a file. Utilizing `write_image` we can save our plot to a file. We can use this file to later log with `rubicon_ml`. " ] }, { "cell_type": "code", "execution_count": 4, "id": "31e007bc", "metadata": {}, "outputs": [], "source": [ "scatter_plot = px.scatter(df, x=\"direction\", y=\"frequency\", color=\"strength\")\n", "scatter_plot.write_image(\"saved-scatter-plot-for-logging.png\")" ] }, { "cell_type": "markdown", "id": "a93ac1ec", "metadata": {}, "source": [ "We can also create a plot and covert it to bytes to save it in memory. Using `to_image` we can convert our plot to bytes. " ] }, { "cell_type": "code", "execution_count": 5, "id": "8544305b", "metadata": {}, "outputs": [], "source": [ "bar_plot = px.bar(df, x=\"direction\", y=\"frequency\", color=\"strength\")\n", "bar_plot_bytes = bar_plot.to_image(format=\"png\")" ] }, { "cell_type": "markdown", "id": "4a41ac4b", "metadata": {}, "source": [ "## Logging your plot\n", "In `rubicon_ml` , `artifacts` are a catch-all for any other type of data that can be logged to a file. We can use artifacts to capture information that doesn't fall into the `experiment`, `dataframe`, `feature`, and `parameter` categories. " ] }, { "cell_type": "markdown", "id": "4bc3f6aa", "metadata": {}, "source": [ "Leveraging `artifacts`, plots can be logged just by passing its file location in the `data_path` argument to `project.log_artifact()`." ] }, { "cell_type": "code", "execution_count": 6, "id": "d0823f93", "metadata": {}, "outputs": [], "source": [ "project.log_artifact(\n", " name=\"scatter plot\",\n", " data_path=\"saved-scatter-plot-for-logging.png\",\n", " description=\"saved scatter plot with path\",\n", ")\n", "artifact_plot_from_file = project.artifact(name=\"scatter plot\")" ] }, { "cell_type": "markdown", "id": "420a7c6d", "metadata": {}, "source": [ "We can also log plots by passing its byte representation to the `data_bytes` argument to `project.log_artifact()` as well." ] }, { "cell_type": "code", "execution_count": 7, "id": "b064e579", "metadata": { "scrolled": true }, "outputs": [], "source": [ "project.log_artifact(name=\"bar plot\", data_bytes=bar_plot_bytes)\n", "artifact_plot_bytes = project.artifact(name=\"bar plot\")" ] }, { "cell_type": "markdown", "id": "a9eb5364", "metadata": {}, "source": [ "## Retrieving your logged plot programmatically " ] }, { "cell_type": "markdown", "id": "fbb31fb1", "metadata": {}, "source": [ "Since the `PNG` representations of both plots were logged, we can retrieve our artifact plots programmatically. Using `io` and `PIL` we can visualize our plots as `PNG` images." ] }, { "cell_type": "code", "execution_count": 8, "id": "b73061e9", "metadata": {}, "outputs": [], "source": [ "import io\n", "\n", "from PIL import Image\n", "\n", "\n", "imageScatterPlotStream = io.BytesIO(artifact_plot_from_file.data)\n", "scatter_plot_image = Image.open(imageScatterPlotStream)\n", "\n", "imageBarPlotStream = io.BytesIO(artifact_plot_bytes.data)\n", "bar_plot_image = Image.open(imageBarPlotStream)" ] }, { "cell_type": "markdown", "id": "87f3f532", "metadata": {}, "source": [ "Finally, view the two images using `display`." ] }, { "cell_type": "code", "execution_count": 9, "id": "be9a1cdb", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(scatter_plot_image)" ] }, { "cell_type": "code", "execution_count": 10, "id": "1faa41c3", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(bar_plot_image)" ] }, { "cell_type": "markdown", "id": "7105128f", "metadata": {}, "source": [ "We have logged our scatter_plot with Rubicon, so we can remove the file created earlier." ] }, { "cell_type": "code", "execution_count": 11, "id": "8f731313", "metadata": {}, "outputs": [], "source": [ "!rm saved-scatter-plot-for-logging.png" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }