{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Getting Started\n", "\n", "This notebook gets you started with a brief nDCG evaluation with LensKit for Python.\n", "\n", "This notebook is also available on [Google Collaboratory](https://colab.research.google.com/drive/1ym040cKkQf85epu80VtIkMXy3LpfYQky?usp=sharing) and [nbviewer](https://nbviewer.jupyter.org/github/lenskit/lkpy/blob/master/doc/GettingStarted.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "We first import the LensKit components we need:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lenskit.als import BiasedMFScorer\n", "from lenskit.batch import recommend\n", "from lenskit.data import ItemListCollection, UserIDKey, load_movielens\n", "from lenskit.knn import ItemKNNScorer\n", "from lenskit.metrics import NDCG, RBP, RecipRank, RunAnalysis\n", "from lenskit.pipeline import topn_pipeline\n", "from lenskit.splitting import SampleFrac, crossfold_users" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And Pandas is very useful, as is Seaborn for plotting:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `pyprojroot` package makes it easy to find input data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from pyprojroot.here import here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading Data\n", "\n", "We're going to use the ML-100K data set:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " user_id item_id rating timestamp\n", "0 1 1 5.0 874965758\n", "1 1 2 3.0 876893171\n", "2 1 3 4.0 878542960\n", "3 1 4 3.0 876893119\n", "4 1 5 3.0 889751712" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ml100k = load_movielens(here(\"data/ml-100k.zip\"))\n", "ml100k.interaction_table(format=\"pandas\", original_ids=True).head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining Recommenders\n", "\n", "Let's set up two scoring models:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "model_ii = ItemKNNScorer(k=20)\n", "model_als = BiasedMFScorer(features=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For each of these, we also need to make a :ref:`pipeline `:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "pipe_ii = topn_pipeline(model_ii)\n", "pipe_als = topn_pipeline(model_als)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running the Evaluation\n", "\n", "In LensKit, our evaluation proceeds in 2 steps:\n", "\n", "1. Generate recommendations\n", "2. Measure them\n", "\n", "If memory is a concern, we can measure while generating, but we will not do that for now.\n", "\n", "Let's start by creating and collecting the recommendations; we will generate 100 recommendations per user, and will collect all of them into a single {py:class}`~lenskit.data.ItemListCollection`:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mde48/LensKit/lkpy/lenskit/lenskit/als/_explicit.py:59: UserWarning: Sparse CSR tensor support is in beta state. If you miss a functionality in the sparse tensor support, please submit a feature request to https://github.com/pytorch/pytorch/issues. (Triggered internally at /Users/runner/miniforge3/conda-bld/libtorch_1733624403138/work/aten/src/ATen/SparseCsrTensorImpl.cpp:55.)\n", " rmat = rmat.to_sparse_csr()\n" ] } ], "source": [ "# test data is organized by user\n", "all_test = ItemListCollection(UserIDKey)\n", "# recommendations will be organized by model and user ID\n", "all_recs = ItemListCollection([\"model\", \"user_id\"])\n", "\n", "for split in crossfold_users(ml100k, 5, SampleFrac(0.2)):\n", " # collect the test data\n", " all_test.add_from(split.test)\n", "\n", " # train the pipeline, cloning first so a fresh pipeline for each split\n", " fit_als = pipe_als.clone()\n", " fit_als.train(split.train)\n", " # generate recs\n", " als_recs = recommend(fit_als, split.test.keys(), 100)\n", " all_recs.add_from(als_recs, model=\"ALS\")\n", "\n", " # do the same for item-item\n", " fit_ii = pipe_ii.clone()\n", " fit_ii.train(split.train)\n", " ii_recs = recommend(fit_ii, split.test.keys(), 100)\n", " all_recs.add_from(ii_recs, model=\"II\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Measuring Recommendations\n", "\n", "We analyze our recommendation lists with a {py:class}`~lenskit.metrics.RunAnalysis` and some metrics." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "ran = RunAnalysis()\n", "ran.add_metric(NDCG())\n", "ran.add_metric(RBP())\n", "ran.add_metric(RecipRank())\n", "results = ran.measure(all_recs, all_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have nDCG values, along with some other metrics! We can start computing and plotting." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " NDCG RBP RecipRank\n", "model \n", "ALS 0.125894 0.088839 0.19244\n", "II 0.095334 0.036945 0.10837" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results.list_metrics().groupby(\"model\").mean()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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