{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lesson 4 - Collaborative Filtering"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from fastai.collab import *\n",
"from fastai.tabular import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Collaborative filtering example"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`collab` models use data in a `DataFrame` of user, items, and ratings."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"user, item, title = 'userId', 'movieId', 'title'"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"path = untar_data(URLs.ML_SAMPLE) # MovieLens dataset sample"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"PosixPath('/home/cedric/.fastai/data/movie_lens_sample')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"path"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"ratings = pd.read_csv(path / 'ratings.csv')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
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" \n",
" \n",
" | \n",
" userId | \n",
" movieId | \n",
" rating | \n",
" timestamp | \n",
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"
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],
"text/plain": [
" userId movieId rating timestamp\n",
"0 73 1097 4.0 1255504951\n",
"1 561 924 3.5 1172695223\n",
"2 157 260 3.5 1291598691\n",
"3 358 1210 5.0 957481884\n",
"4 130 316 2.0 1138999234"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ratings.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That's all we need to create and train a model:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"data = CollabDataBunch.from_df(ratings, seed=42)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"y_range = [0, 5.5]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# Create a Learner for collaborative filtering on data\n",
"learn = collab_learner(data, n_factors=50, y_range=y_range)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Total time: 00:02 \n",
" \n",
" epoch | \n",
" train_loss | \n",
" valid_loss | \n",
"
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" 1 | \n",
" 1.618773 | \n",
" 0.981229 | \n",
"
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" 2 | \n",
" 0.854903 | \n",
" 0.678677 | \n",
"
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" 3 | \n",
" 0.653128 | \n",
" 0.667750 | \n",
"
\n",
"
\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 801 ms, sys: 1.6 s, total: 2.4 s\n",
"Wall time: 2.77 s\n"
]
}
],
"source": [
"%%time\n",
"\n",
"learn.fit_one_cycle(3, 5e-3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Movielens 100k"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's try with the full Movielens 100k data dataset, available from http://files.grouplens.org/datasets/movielens/ml-100k.zip"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"path = Path('data/ml-100k/')"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"--2018-12-27 02:48:45-- http://files.grouplens.org/datasets/movielens/ml-100k.zip\n",
"Resolving files.grouplens.org (files.grouplens.org)... 128.101.34.235\n",
"Connecting to files.grouplens.org (files.grouplens.org)|128.101.34.235|:80... connected.\n",
"HTTP request sent, awaiting response... 200 OK\n",
"Length: 4924029 (4.7M) [application/zip]\n",
"Saving to: ‘data/ml-100k.zip’\n",
"\n",
"data/ml-100k.zip 100%[===================>] 4.70M 3.46MB/s in 1.4s \n",
"\n",
"2018-12-27 02:48:47 (3.46 MB/s) - ‘data/ml-100k.zip’ saved [4924029/4924029]\n",
"\n"
]
}
],
"source": [
"!wget http://files.grouplens.org/datasets/movielens/ml-100k.zip -O data/ml-100k.zip"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Archive: data/ml-100k.zip\n",
" creating: data/ml-100k/\n",
" inflating: data/ml-100k/allbut.pl \n",
" inflating: data/ml-100k/mku.sh \n",
" inflating: data/ml-100k/README \n",
" inflating: data/ml-100k/u.data \n",
" inflating: data/ml-100k/u.genre \n",
" inflating: data/ml-100k/u.info \n",
" inflating: data/ml-100k/u.item \n",
" inflating: data/ml-100k/u.occupation \n",
" inflating: data/ml-100k/u.user \n",
" inflating: data/ml-100k/u1.base \n",
" inflating: data/ml-100k/u1.test \n",
" inflating: data/ml-100k/u2.base \n",
" inflating: data/ml-100k/u2.test \n",
" inflating: data/ml-100k/u3.base \n",
" inflating: data/ml-100k/u3.test \n",
" inflating: data/ml-100k/u4.base \n",
" inflating: data/ml-100k/u4.test \n",
" inflating: data/ml-100k/u5.base \n",
" inflating: data/ml-100k/u5.test \n",
" inflating: data/ml-100k/ua.base \n",
" inflating: data/ml-100k/ua.test \n",
" inflating: data/ml-100k/ub.base \n",
" inflating: data/ml-100k/ub.test \n"
]
}
],
"source": [
"!unzip data/ml-100k.zip -d data"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"ratings = pd.read_csv(path / 'u.data', delimiter='\\t', header=None,\n",
" names=[user, item, 'rating', 'timestamp'])"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
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" userId movieId rating timestamp\n",
"0 196 242 3 881250949\n",
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"2 22 377 1 878887116\n",
"3 244 51 2 880606923\n",
"4 166 346 1 886397596"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ratings.head()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"movies = pd.read_csv(path / 'u.item', delimiter='|', encoding='latin-1', header=None,\n",
" names=[item, 'title', 'date', 'N', 'url', *[f'g{i}' for i in range(19)]])"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
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" | \n",
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" N | \n",
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"text/plain": [
" movieId title date N \\\n",
"0 1 Toy Story (1995) 01-Jan-1995 NaN \n",
"1 2 GoldenEye (1995) 01-Jan-1995 NaN \n",
"2 3 Four Rooms (1995) 01-Jan-1995 NaN \n",
"3 4 Get Shorty (1995) 01-Jan-1995 NaN \n",
"4 5 Copycat (1995) 01-Jan-1995 NaN \n",
"\n",
" url g0 g1 g2 g3 g4 ... \\\n",
"0 http://us.imdb.com/M/title-exact?Toy%20Story%2... 0 0 0 1 1 ... \n",
"1 http://us.imdb.com/M/title-exact?GoldenEye%20(... 0 1 1 0 0 ... \n",
"2 http://us.imdb.com/M/title-exact?Four%20Rooms%... 0 0 0 0 0 ... \n",
"3 http://us.imdb.com/M/title-exact?Get%20Shorty%... 0 1 0 0 0 ... \n",
"4 http://us.imdb.com/M/title-exact?Copycat%20(1995) 0 0 0 0 0 ... \n",
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" g9 g10 g11 g12 g13 g14 g15 g16 g17 g18 \n",
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"\n",
"[5 rows x 24 columns]"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movies.head()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"100000"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(ratings)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"rating_movie = ratings.merge(movies[[item, title]])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
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"metadata": {},
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}
],
"source": [
"rating_movie.head()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"data = CollabDataBunch.from_df(rating_movie, seed=42, pct_val=0.1, item_name=title)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
" userId | \n",
" title | \n",
" target | \n",
"
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" It's a Wonderful Life (1946) | \n",
" 5.0 | \n",
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data.show_batch()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"y_range = [0,5.5]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"learn = collab_learner(data, n_factors=40, y_range=y_range, wd=1e-1)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LR Finder is complete, type {learner_name}.recorder.plot() to see the graph.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"learn.lr_find()\n",
"learn.recorder.plot(skip_end=15)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Total time: 00:29 \n",
" \n",
" epoch | \n",
" train_loss | \n",
" valid_loss | \n",
"
\n",
" \n",
" 1 | \n",
" 0.948704 | \n",
" 0.934008 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.859583 | \n",
" 0.888070 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.755054 | \n",
" 0.836295 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.642712 | \n",
" 0.811974 | \n",
"
\n",
" \n",
" 5 | \n",
" 0.563031 | \n",
" 0.810624 | \n",
"
\n",
"
\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"learn.fit_one_cycle(5, 5e-3)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"learn.save('dotprod')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's [some benchmarks](https://www.librec.net/release/v1.3/example.html) on the same dataset for the popular Librec system for collaborative filtering. They show best results based on RMSE of 0.91, which corresponds to an MSE of `0.91**2 = 0.83`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Interpretation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Setup"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"learn.load('dotprod');"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"EmbeddingDotBias(\n",
" (u_weight): Embedding(944, 40)\n",
" (i_weight): Embedding(1654, 40)\n",
" (u_bias): Embedding(944, 1)\n",
" (i_bias): Embedding(1654, 1)\n",
")"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"learn.model"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" userId | \n",
" movieId | \n",
" rating | \n",
" timestamp | \n",
" title | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 196 | \n",
" 242 | \n",
" 3 | \n",
" 881250949 | \n",
" Kolya (1996) | \n",
"
\n",
" \n",
" 1 | \n",
" 63 | \n",
" 242 | \n",
" 3 | \n",
" 875747190 | \n",
" Kolya (1996) | \n",
"
\n",
" \n",
" 2 | \n",
" 226 | \n",
" 242 | \n",
" 5 | \n",
" 883888671 | \n",
" Kolya (1996) | \n",
"
\n",
" \n",
" 3 | \n",
" 154 | \n",
" 242 | \n",
" 3 | \n",
" 879138235 | \n",
" Kolya (1996) | \n",
"
\n",
" \n",
" 4 | \n",
" 306 | \n",
" 242 | \n",
" 5 | \n",
" 876503793 | \n",
" Kolya (1996) | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" userId movieId rating timestamp title\n",
"0 196 242 3 881250949 Kolya (1996)\n",
"1 63 242 3 875747190 Kolya (1996)\n",
"2 226 242 5 883888671 Kolya (1996)\n",
"3 154 242 3 879138235 Kolya (1996)\n",
"4 306 242 5 876503793 Kolya (1996)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rating_movie.head()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"g = rating_movie.groupby(title)['rating'].count()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"top_movies = g.sort_values(ascending=False).index.values[:1000]"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array(['Star Wars (1977)', 'Contact (1997)', 'Fargo (1996)', 'Return of the Jedi (1983)', 'Liar Liar (1997)',\n",
" 'English Patient, The (1996)', 'Scream (1996)', 'Toy Story (1995)', 'Air Force One (1997)',\n",
" 'Independence Day (ID4) (1996)'], dtype=object)"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"top_movies[:10]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Movie bias"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([1000])"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movie_bias = learn.bias(top_movies, is_item=True)\n",
"movie_bias.shape"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"mean_ratings = rating_movie.groupby(title)['rating'].mean()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"movie_ratings = [(b, i, mean_ratings.loc[i]) for i, b in zip(top_movies, movie_bias)]"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"item0 = lambda o: o[0]"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(tensor(-0.3586),\n",
" 'Children of the Corn: The Gathering (1996)',\n",
" 1.3157894736842106),\n",
" (tensor(-0.3194),\n",
" 'Lawnmower Man 2: Beyond Cyberspace (1996)',\n",
" 1.7142857142857142),\n",
" (tensor(-0.2932), 'Cable Guy, The (1996)', 2.339622641509434),\n",
" (tensor(-0.2819), 'Mortal Kombat: Annihilation (1997)', 1.9534883720930232),\n",
" (tensor(-0.2424), 'Grease 2 (1982)', 2.0),\n",
" (tensor(-0.2370), 'Island of Dr. Moreau, The (1996)', 2.1578947368421053),\n",
" (tensor(-0.2360), 'Barb Wire (1996)', 1.9333333333333333),\n",
" (tensor(-0.2277), 'Bio-Dome (1996)', 1.903225806451613),\n",
" (tensor(-0.2248), 'Striptease (1996)', 2.2388059701492535),\n",
" (tensor(-0.2228), 'Beautician and the Beast, The (1997)', 2.313953488372093),\n",
" (tensor(-0.2206), 'Leave It to Beaver (1997)', 1.8409090909090908),\n",
" (tensor(-0.2176), 'Free Willy 3: The Rescue (1997)', 1.7407407407407407),\n",
" (tensor(-0.2174), \"Joe's Apartment (1996)\", 2.2444444444444445),\n",
" (tensor(-0.2134), 'Crow: City of Angels, The (1996)', 1.9487179487179487),\n",
" (tensor(-0.2089), 'Lord of Illusions (1995)', 2.4166666666666665)]"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sorted(movie_ratings, key=item0)[:15]"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(tensor(0.5976), 'Titanic (1997)', 4.2457142857142856),\n",
" (tensor(0.5791), 'Shawshank Redemption, The (1994)', 4.445229681978798),\n",
" (tensor(0.5588), \"Schindler's List (1993)\", 4.466442953020135),\n",
" (tensor(0.5585), 'Rear Window (1954)', 4.3875598086124405),\n",
" (tensor(0.5471), 'Silence of the Lambs, The (1991)', 4.28974358974359),\n",
" (tensor(0.5212), 'L.A. Confidential (1997)', 4.161616161616162),\n",
" (tensor(0.5206), 'Star Wars (1977)', 4.3584905660377355),\n",
" (tensor(0.5026), 'Good Will Hunting (1997)', 4.262626262626263),\n",
" (tensor(0.4892), 'Boot, Das (1981)', 4.203980099502488),\n",
" (tensor(0.4867), 'As Good As It Gets (1997)', 4.196428571428571),\n",
" (tensor(0.4850), 'Vertigo (1958)', 4.251396648044692),\n",
" (tensor(0.4817), 'Godfather, The (1972)', 4.283292978208232),\n",
" (tensor(0.4741), 'Usual Suspects, The (1995)', 4.385767790262173),\n",
" (tensor(0.4505), 'Raiders of the Lost Ark (1981)', 4.252380952380952),\n",
" (tensor(0.4466), 'To Kill a Mockingbird (1962)', 4.292237442922374)]"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sorted(movie_ratings, key=lambda o: o[0], reverse=True)[:15]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Movie weights"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([1000, 40])"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movie_w = learn.weight(top_movies, is_item=True)\n",
"movie_w.shape"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([1000, 3])"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movie_pca = movie_w.pca(3)\n",
"movie_pca.shape"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"fac0, fac1, fac2 = movie_pca.t() # latent factors\n",
"movie_comp = [(f, i) for f, i in zip(fac0, top_movies)]"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(tensor(1.3646), 'Home Alone 3 (1997)'),\n",
" (tensor(1.2345), 'Jungle2Jungle (1997)'),\n",
" (tensor(1.2281), \"McHale's Navy (1997)\"),\n",
" (tensor(1.1882), 'D3: The Mighty Ducks (1996)'),\n",
" (tensor(1.1283), 'Leave It to Beaver (1997)'),\n",
" (tensor(1.0890), 'Bio-Dome (1996)'),\n",
" (tensor(1.0797), 'Congo (1995)'),\n",
" (tensor(1.0676), 'Richie Rich (1994)'),\n",
" (tensor(1.0644), 'Children of the Corn: The Gathering (1996)'),\n",
" (tensor(1.0237), 'Free Willy 3: The Rescue (1997)')]"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sorted(movie_comp, key=itemgetter(0), reverse=True)[:10]"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(tensor(-1.1250), 'Casablanca (1942)'),\n",
" (tensor(-1.0709), 'Wrong Trousers, The (1993)'),\n",
" (tensor(-1.0482), 'Close Shave, A (1995)'),\n",
" (tensor(-1.0405), 'Chinatown (1974)'),\n",
" (tensor(-1.0069), 'When We Were Kings (1996)'),\n",
" (tensor(-0.9939), 'Third Man, The (1949)'),\n",
" (tensor(-0.9674), 'Lawrence of Arabia (1962)'),\n",
" (tensor(-0.9438), 'Paths of Glory (1957)'),\n",
" (tensor(-0.9438), 'Citizen Kane (1941)'),\n",
" (tensor(-0.9325), 'Persuasion (1995)')]"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sorted(movie_comp, key=itemgetter(0))[:10]"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"movie_comp = [(f, i) for f,i in zip(fac1, top_movies)]"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(tensor(1.1086), 'Braveheart (1995)'),\n",
" (tensor(1.0557), 'Raiders of the Lost Ark (1981)'),\n",
" (tensor(0.9812), 'Titanic (1997)'),\n",
" (tensor(0.9470), 'Pretty Woman (1990)'),\n",
" (tensor(0.9173), \"It's a Wonderful Life (1946)\"),\n",
" (tensor(0.8845), 'Forrest Gump (1994)'),\n",
" (tensor(0.8535), 'American President, The (1995)'),\n",
" (tensor(0.8392), 'Top Gun (1986)'),\n",
" (tensor(0.8309), \"Mr. Holland's Opus (1995)\"),\n",
" (tensor(0.8282), 'Sleepless in Seattle (1993)')]"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sorted(movie_comp, key=itemgetter(0), reverse=True)[:10]"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(tensor(-0.8438), 'Trainspotting (1996)'),\n",
" (tensor(-0.8154), 'Keys to Tulsa (1997)'),\n",
" (tensor(-0.7898), 'Ready to Wear (Pret-A-Porter) (1994)'),\n",
" (tensor(-0.7854), 'Nosferatu (Nosferatu, eine Symphonie des Grauens) (1922)'),\n",
" (tensor(-0.7784), 'Heavenly Creatures (1994)'),\n",
" (tensor(-0.7596), 'Stupids, The (1996)'),\n",
" (tensor(-0.7513), 'Serial Mom (1994)'),\n",
" (tensor(-0.7499), 'Brazil (1985)'),\n",
" (tensor(-0.7432), 'Dead Man (1995)'),\n",
" (tensor(-0.7400), 'Cable Guy, The (1996)')]"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sorted(movie_comp, key=itemgetter(0))[:10]"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [],
"source": [
"idxs = np.random.choice(len(top_movies), 50, replace=False)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"idxs = list(range(50))\n",
"X = fac0[idxs]\n",
"Y = fac2[idxs]"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
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