From 0fc50ca6ccd17873553715c0916c0beeceaa492d Mon Sep 17 00:00:00 2001 From: Robert Kwiecinski Date: Fri, 7 May 2021 22:16:28 +0200 Subject: [PATCH] 3rd meeting --- ...mbeddings in high demensional spaces.ipynb | 25 +- P4. Matrix Factorization.ipynb | 1400 +++++++------- P5. Graph-based models.pdf | Bin 0 -> 2648433 bytes P5. Graph-based.ipynb | 1431 ++++++++++++++ P6. WRMF (Implicit ALS).ipynb | 1711 +++++++++++++++++ P6. WRMF (Implicit_ALS).pdf | Bin 0 -> 2537392 bytes 6 files changed, 3876 insertions(+), 691 deletions(-) create mode 100644 P5. Graph-based models.pdf create mode 100644 P5. Graph-based.ipynb create mode 100644 P6. WRMF (Implicit ALS).ipynb create mode 100644 P6. WRMF (Implicit_ALS).pdf diff --git a/P4. Appendix - embeddings in high demensional spaces.ipynb b/P4. Appendix - embeddings in high demensional spaces.ipynb index c594641..946fe13 100644 --- a/P4. Appendix - embeddings in high demensional spaces.ipynb +++ b/P4. Appendix - embeddings in high demensional spaces.ipynb @@ -9,12 +9,12 @@ "data": { "text/plain": [ "['dimensions: 1, cases when observation is the nearest: 0.0%',\n", - " 'dimensions: 2, cases when observation is the nearest: 0.0%',\n", - " 'dimensions: 3, cases when observation is the nearest: 0.0%',\n", - " 'dimensions: 10, cases when observation is the nearest: 13.0%',\n", - " 'dimensions: 20, cases when observation is the nearest: 61.0%',\n", - " 'dimensions: 30, cases when observation is the nearest: 96.0%',\n", - " 'dimensions: 40, cases when observation is the nearest: 98.0%',\n", + " 'dimensions: 2, cases when observation is the nearest: 1.0%',\n", + " 'dimensions: 3, cases when observation is the nearest: 1.0%',\n", + " 'dimensions: 10, cases when observation is the nearest: 8.0%',\n", + " 'dimensions: 20, cases when observation is the nearest: 68.0%',\n", + " 'dimensions: 30, cases when observation is the nearest: 93.0%',\n", + " 'dimensions: 40, cases when observation is the nearest: 100.0%',\n", " 'dimensions: 50, cases when observation is the nearest: 100.0%',\n", " 'dimensions: 60, cases when observation is the nearest: 100.0%',\n", " 'dimensions: 70, cases when observation is the nearest: 100.0%',\n", @@ -46,15 +46,15 @@ " i1, i2 = random.sample(range(nb_vectors), 2)\n", " target = (vectors[i1] + vectors[i2]) / 2\n", "\n", - " distances = pd.DataFrame(\n", + " similarities = pd.DataFrame(\n", " enumerate(\n", " np.dot(target, vectors.transpose())\n", " / norm(target)\n", " / norm(vectors.transpose(), axis=0)\n", " )\n", " )\n", - " distances = distances.sort_values(by=[1], ascending=False)\n", - " if (i1 in (list(distances[0][:k]))) | (i2 in (list(distances[0][:k]))):\n", + " similarities = similarities.sort_values(by=[1], ascending=False)\n", + " if (i1 in (list(similarities[0][:k]))) | (i2 in (list(similarities[0][:k]))):\n", " successes += 1\n", " result.append(successes / trials)\n", "\n", @@ -63,13 +63,6 @@ " for i, j in zip(dimensions, result)\n", "]" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/P4. Matrix Factorization.ipynb b/P4. Matrix Factorization.ipynb index 6ab0c6c..62e6c38 100644 --- a/P4. Matrix Factorization.ipynb +++ b/P4. Matrix Factorization.ipynb @@ -121,12 +121,12 @@ " def recommend(self, user_code_id, item_code_id, topK=10):\n", "\n", " top_k = defaultdict(list)\n", - " for nb_user, user in enumerate(self.estimations):\n", + " for nb_user, user_scores in enumerate(self.estimations):\n", "\n", " user_rated = self.train_ui.indices[\n", " self.train_ui.indptr[nb_user] : self.train_ui.indptr[nb_user + 1]\n", " ]\n", - " for item, score in enumerate(user):\n", + " for item, score in enumerate(user_scores):\n", " if item not in user_rated and not np.isnan(score):\n", " top_k[user_code_id[nb_user]].append((item_code_id[item], score))\n", " result = []\n", @@ -160,7 +160,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "Epoch 39 RMSE: 0.7477090330529405. Training epoch 40...: 100%|██████████| 40/40 [01:03<00:00, 1.59s/it]\n" + "Epoch 39 RMSE: 0.7489999966900885. Training epoch 40...: 100%|██████████| 40/40 [01:02<00:00, 1.57s/it]\n" ] } ], @@ -179,7 +179,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -188,7 +188,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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" ] @@ -281,7 +281,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "943it [00:00, 11138.92it/s]\n" + "943it [00:00, 8683.10it/s]\n" ] }, { @@ -327,37 +327,37 @@ " \n", " \n", " 0\n", - " 0.914143\n", - " 0.717131\n", - " 0.101803\n", - " 0.042134\n", - " 0.05161\n", - " 0.068543\n", - " 0.091953\n", - " 0.071255\n", - " 0.104015\n", - " 0.048817\n", - " 0.193027\n", - " 0.517784\n", - " 0.471898\n", - " 0.867232\n", - " 0.147908\n", - " 3.871296\n", - " 0.97182\n", + " 0.914393\n", + " 0.717199\n", + " 0.101697\n", + " 0.042334\n", + " 0.051787\n", + " 0.068811\n", + " 0.092489\n", + " 0.07236\n", + " 0.104839\n", + " 0.04897\n", + " 0.196117\n", + " 0.517889\n", + " 0.480382\n", + " 0.867338\n", + " 0.147186\n", + " 3.852545\n", + " 0.972694\n", " \n", " \n", "\n", "" ], "text/plain": [ - " RMSE MAE precision recall F_1 F_05 \\\n", - "0 0.914143 0.717131 0.101803 0.042134 0.05161 0.068543 \n", + " RMSE MAE precision recall F_1 F_05 \\\n", + "0 0.914393 0.717199 0.101697 0.042334 0.051787 0.068811 \n", "\n", - " precision_super recall_super NDCG mAP MRR LAUC \\\n", - "0 0.091953 0.071255 0.104015 0.048817 0.193027 0.517784 \n", + " precision_super recall_super NDCG mAP MRR LAUC \\\n", + "0 0.092489 0.07236 0.104839 0.04897 0.196117 0.517889 \n", "\n", - " HR Reco in test Test coverage Shannon Gini \n", - "0 0.471898 0.867232 0.147908 3.871296 0.97182 " + " HR Reco in test Test coverage Shannon Gini \n", + "0 0.480382 0.867338 0.147186 3.852545 0.972694 " ] }, "execution_count": 7, @@ -390,630 +390,18 @@ "name": "stderr", "output_type": "stream", "text": [ - "943it [00:00, 10694.55it/s]\n", - "943it [00:00, 11600.99it/s]\n", - "943it [00:00, 11461.54it/s]\n", - "943it [00:00, 11660.39it/s]\n", - "943it [00:00, 9872.18it/s]\n", - "943it [00:00, 11443.77it/s]\n", - "943it [00:00, 11990.88it/s]\n", - "943it [00:00, 11615.02it/s]\n", - "943it [00:00, 11874.78it/s]\n", - "943it [00:00, 12387.19it/s]\n" - ] - }, - { - "data": { - "text/html": [ - "
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ModelRMSEMAEprecisionrecallF_1F_05precision_superrecall_superNDCGmAPMRRLAUCHRReco in testTest coverageShannonGini
0Self_TopPop2.5082582.2179090.1888650.1169190.1187320.1415840.1304720.1374730.2146510.1117070.4009390.5555460.7656421.0000000.0389613.1590790.987317
0Self_SVD0.9141430.7171310.1018030.0421340.0516100.0685430.0919530.0712550.1040150.0488170.1930270.5177840.4718980.8672320.1479083.8712960.971820
0Ready_Baseline0.9494590.7524870.0914100.0376520.0460300.0612860.0796140.0564630.0959570.0431780.1981930.5155010.4379641.0000000.0339112.8365130.991139
0Ready_Random1.5218451.2259490.0471900.0207530.0248100.0322690.0295060.0237070.0500750.0187280.1219570.5068930.3297990.9865320.1847045.0997060.907217
0Ready_I-KNN1.0303860.8130670.0260870.0069080.0105930.0160460.0211370.0095220.0242140.0089580.0480680.4998850.1548250.4023330.4343435.1336500.877999
0Ready_I-KNNBaseline0.9353270.7374240.0025450.0007550.0011050.0016020.0022530.0009300.0034440.0013620.0117600.4967240.0212090.4828210.0598852.2325780.994487
0Ready_U-KNN1.0234950.8079130.0007420.0002050.0003050.0004490.0005360.0001980.0008450.0002740.0027440.4964410.0074230.6021210.0108232.0891860.995706
0Self_TopRated1.0307120.8209040.0009540.0001880.0002980.0004810.0006440.0002230.0010430.0003350.0033480.4964330.0095440.6990460.0050511.9459100.995669
0Self_BaselineUI0.9675850.7627400.0009540.0001700.0002780.0004630.0006440.0001890.0007520.0001680.0016770.4964240.0095440.6005300.0050511.8031260.996380
0Self_IKNN1.0183630.8087930.0003180.0001080.0001400.0001890.0000000.0000000.0002140.0000370.0003680.4963910.0031810.3921530.1154404.1747410.965327
\n", - "
" - ], - "text/plain": [ - " Model RMSE MAE precision recall F_1 \\\n", - "0 Self_TopPop 2.508258 2.217909 0.188865 0.116919 0.118732 \n", - "0 Self_SVD 0.914143 0.717131 0.101803 0.042134 0.051610 \n", - "0 Ready_Baseline 0.949459 0.752487 0.091410 0.037652 0.046030 \n", - "0 Ready_Random 1.521845 1.225949 0.047190 0.020753 0.024810 \n", - "0 Ready_I-KNN 1.030386 0.813067 0.026087 0.006908 0.010593 \n", - "0 Ready_I-KNNBaseline 0.935327 0.737424 0.002545 0.000755 0.001105 \n", - "0 Ready_U-KNN 1.023495 0.807913 0.000742 0.000205 0.000305 \n", - "0 Self_TopRated 1.030712 0.820904 0.000954 0.000188 0.000298 \n", - "0 Self_BaselineUI 0.967585 0.762740 0.000954 0.000170 0.000278 \n", - "0 Self_IKNN 1.018363 0.808793 0.000318 0.000108 0.000140 \n", - "\n", - " F_05 precision_super recall_super NDCG mAP MRR \\\n", - "0 0.141584 0.130472 0.137473 0.214651 0.111707 0.400939 \n", - "0 0.068543 0.091953 0.071255 0.104015 0.048817 0.193027 \n", - "0 0.061286 0.079614 0.056463 0.095957 0.043178 0.198193 \n", - "0 0.032269 0.029506 0.023707 0.050075 0.018728 0.121957 \n", - "0 0.016046 0.021137 0.009522 0.024214 0.008958 0.048068 \n", - "0 0.001602 0.002253 0.000930 0.003444 0.001362 0.011760 \n", - "0 0.000449 0.000536 0.000198 0.000845 0.000274 0.002744 \n", - "0 0.000481 0.000644 0.000223 0.001043 0.000335 0.003348 \n", - "0 0.000463 0.000644 0.000189 0.000752 0.000168 0.001677 \n", - "0 0.000189 0.000000 0.000000 0.000214 0.000037 0.000368 \n", - "\n", - " LAUC HR Reco in test Test coverage Shannon Gini \n", - "0 0.555546 0.765642 1.000000 0.038961 3.159079 0.987317 \n", - "0 0.517784 0.471898 0.867232 0.147908 3.871296 0.971820 \n", - "0 0.515501 0.437964 1.000000 0.033911 2.836513 0.991139 \n", - "0 0.506893 0.329799 0.986532 0.184704 5.099706 0.907217 \n", - "0 0.499885 0.154825 0.402333 0.434343 5.133650 0.877999 \n", - "0 0.496724 0.021209 0.482821 0.059885 2.232578 0.994487 \n", - "0 0.496441 0.007423 0.602121 0.010823 2.089186 0.995706 \n", - "0 0.496433 0.009544 0.699046 0.005051 1.945910 0.995669 \n", - "0 0.496424 0.009544 0.600530 0.005051 1.803126 0.996380 \n", - "0 0.496391 0.003181 0.392153 0.115440 4.174741 0.965327 " - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dir_path = \"Recommendations generated/ml-100k/\"\n", - "super_reactions = [4, 5]\n", - "test = pd.read_csv(\"./Datasets/ml-100k/test.csv\", sep=\"\\t\", header=None)\n", - "\n", - "ev.evaluate_all(test, dir_path, super_reactions)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Embeddings" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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codescoreitem_ididtitlegenres
04051.000000406406Thinner (1996)Horror, Thriller
18270.968354828828Alaska (1996)Adventure, Children's
28180.967103819819Eddie (1996)Comedy
39040.963944905905Great Expectations (1998)Drama, Romance
412930.96277912941294Ayn Rand: A Sense of Life (1997)Documentary
53470.961946348348Desperate Measures (1998)Crime, Drama, Thriller
68070.960952808808Program, The (1993)Action, Drama
75600.960885561561Mary Shelley's Frankenstein (1994)Drama, Horror
813920.95872413931393Stag (1997)Action, Thriller
97870.957891788788Relative Fear (1994)Horror, Thriller
\n", - "
" - ], - "text/plain": [ - " code score item_id id title \\\n", - "0 405 1.000000 406 406 Thinner (1996) \n", - "1 827 0.968354 828 828 Alaska (1996) \n", - "2 818 0.967103 819 819 Eddie (1996) \n", - "3 904 0.963944 905 905 Great Expectations (1998) \n", - "4 1293 0.962779 1294 1294 Ayn Rand: A Sense of Life (1997) \n", - "5 347 0.961946 348 348 Desperate Measures (1998) \n", - "6 807 0.960952 808 808 Program, The (1993) \n", - "7 560 0.960885 561 561 Mary Shelley's Frankenstein (1994) \n", - "8 1392 0.958724 1393 1393 Stag (1997) \n", - "9 787 0.957891 788 788 Relative Fear (1994) \n", - "\n", - " genres \n", - "0 Horror, Thriller \n", - "1 Adventure, Children's \n", - "2 Comedy \n", - "3 Drama, Romance \n", - "4 Documentary \n", - "5 Crime, Drama, Thriller \n", - "6 Action, Drama \n", - "7 Drama, Horror \n", - "8 Action, Thriller \n", - "9 Horror, Thriller " - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "item = random.choice(list(set(train_ui.indices)))\n", - "\n", - "embeddings_norm = (\n", - " model.Qi / np.linalg.norm(model.Qi, axis=1)[:, None]\n", - ") # we do not mean-center here\n", - "# omitting normalization also makes sense, but items with a greater magnitude will be recommended more often\n", - "\n", - "similarity_scores = np.dot(embeddings_norm, embeddings_norm[item].T)\n", - "top_similar_items = pd.DataFrame(\n", - " enumerate(similarity_scores), columns=[\"code\", \"score\"]\n", - ").sort_values(by=[\"score\"], ascending=[False])[:10]\n", - "\n", - "top_similar_items[\"item_id\"] = top_similar_items[\"code\"].apply(\n", - " lambda x: item_code_id[x]\n", - ")\n", - "\n", - "items = pd.read_csv(\"./Datasets/ml-100k/movies.csv\")\n", - "\n", - "result = pd.merge(top_similar_items, items, left_on=\"item_id\", right_on=\"id\")\n", - "\n", - "result" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# project task 5: implement SVD on top baseline (as it is in Surprise library)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "# making changes to our implementation by considering additional parameters in the gradient descent procedure\n", - "# seems to be the fastest option\n", - "# please save the output in 'Recommendations generated/ml-100k/Self_SVDBaseline_reco.csv' and\n", - "# 'Recommendations generated/ml-100k/Self_SVDBaseline_estimations.csv'" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Ready-made SVD - Surprise implementation" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### SVD" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Generating predictions...\n", - "Generating top N recommendations...\n", - "Generating predictions...\n" - ] - } - ], - "source": [ - "import helpers\n", - "import surprise as sp\n", - "\n", - "algo = sp.SVD(biased=False) # to use unbiased version\n", - "\n", - "helpers.ready_made(\n", - " algo,\n", - " reco_path=\"Recommendations generated/ml-100k/Ready_SVD_reco.csv\",\n", - " estimations_path=\"Recommendations generated/ml-100k/Ready_SVD_estimations.csv\",\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### SVD biased - on top baseline" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Generating predictions...\n", - "Generating top N recommendations...\n", - "Generating predictions...\n" - ] - } - ], - "source": [ - "algo = sp.SVD() # default is biased=True\n", - "\n", - "helpers.ready_made(\n", - " algo,\n", - " reco_path=\"Recommendations generated/ml-100k/Ready_SVDBiased_reco.csv\",\n", - " estimations_path=\"Recommendations generated/ml-100k/Ready_SVDBiased_estimations.csv\",\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "943it [00:00, 11249.52it/s]\n", - "943it [00:00, 10927.13it/s]\n", - "943it [00:00, 11816.00it/s]\n", - "943it [00:00, 11204.84it/s]\n", - "943it [00:00, 11803.13it/s]\n", - "943it [00:00, 10580.63it/s]\n", - "943it [00:00, 11843.28it/s]\n", - "943it [00:00, 12313.76it/s]\n", - "943it [00:00, 10678.21it/s]\n", - "943it [00:00, 9772.22it/s]\n", - "943it [00:00, 10699.52it/s]\n", - "943it [00:00, 11789.55it/s]\n" + "943it [00:00, 8505.85it/s]\n", + "943it [00:00, 9544.72it/s]\n", + "943it [00:00, 9154.80it/s]\n", + "943it [00:00, 8282.66it/s]\n", + "943it [00:00, 8432.23it/s]\n", + "943it [00:00, 9601.30it/s]\n", + "943it [00:00, 9158.89it/s]\n", + "943it [00:00, 12283.59it/s]\n", + "943it [00:00, 9500.43it/s]\n", + "943it [00:00, 10085.91it/s]\n", + "943it [00:00, 10260.90it/s]\n", + "943it [00:00, 9691.20it/s]\n" ] }, { @@ -1103,23 +491,23 @@ " \n", " 0\n", " Self_SVD\n", - " 0.914143\n", - " 0.717131\n", - " 0.101803\n", - " 0.042134\n", - " 0.051610\n", - " 0.068543\n", - " 0.091953\n", - " 0.071255\n", - " 0.104015\n", - " 0.048817\n", - " 0.193027\n", - " 0.517784\n", - " 0.471898\n", - " 0.867232\n", - " 0.147908\n", - " 3.871296\n", - " 0.971820\n", + " 0.914393\n", + " 0.717199\n", + " 0.101697\n", + " 0.042334\n", + " 0.051787\n", + " 0.068811\n", + " 0.092489\n", + " 0.072360\n", + " 0.104839\n", + " 0.048970\n", + " 0.196117\n", + " 0.517889\n", + " 0.480382\n", + " 0.867338\n", + " 0.147186\n", + " 3.852545\n", + " 0.972694\n", " \n", " \n", " 0\n", @@ -1318,7 +706,7 @@ " Model RMSE MAE precision recall F_1 \\\n", "0 Self_TopPop 2.508258 2.217909 0.188865 0.116919 0.118732 \n", "0 Ready_SVD 0.950347 0.749312 0.100636 0.050514 0.055794 \n", - "0 Self_SVD 0.914143 0.717131 0.101803 0.042134 0.051610 \n", + "0 Self_SVD 0.914393 0.717199 0.101697 0.042334 0.051787 \n", "0 Ready_Baseline 0.949459 0.752487 0.091410 0.037652 0.046030 \n", "0 Ready_SVDBiased 0.939472 0.739816 0.085896 0.036073 0.043528 \n", "0 Ready_Random 1.521845 1.225949 0.047190 0.020753 0.024810 \n", @@ -1332,7 +720,7 @@ " F_05 precision_super recall_super NDCG mAP MRR \\\n", "0 0.141584 0.130472 0.137473 0.214651 0.111707 0.400939 \n", "0 0.070753 0.091202 0.082734 0.114054 0.053200 0.248803 \n", - "0 0.068543 0.091953 0.071255 0.104015 0.048817 0.193027 \n", + "0 0.068811 0.092489 0.072360 0.104839 0.048970 0.196117 \n", "0 0.061286 0.079614 0.056463 0.095957 0.043178 0.198193 \n", "0 0.057643 0.077039 0.057463 0.097753 0.045546 0.219839 \n", "0 0.032269 0.029506 0.023707 0.050075 0.018728 0.121957 \n", @@ -1346,7 +734,7 @@ " LAUC HR Reco in test Test coverage Shannon Gini \n", "0 0.555546 0.765642 1.000000 0.038961 3.159079 0.987317 \n", "0 0.521983 0.517497 0.992153 0.210678 4.418683 0.952848 \n", - "0 0.517784 0.471898 0.867232 0.147908 3.871296 0.971820 \n", + "0 0.517889 0.480382 0.867338 0.147186 3.852545 0.972694 \n", "0 0.515501 0.437964 1.000000 0.033911 2.836513 0.991139 \n", "0 0.514709 0.431601 0.997455 0.168831 4.217578 0.962577 \n", "0 0.506893 0.329799 0.986532 0.184704 5.099706 0.907217 \n", @@ -1358,6 +746,668 @@ "0 0.496391 0.003181 0.392153 0.115440 4.174741 0.965327 " ] }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dir_path = \"Recommendations generated/ml-100k/\"\n", + "super_reactions = [4, 5]\n", + "test = pd.read_csv(\"./Datasets/ml-100k/test.csv\", sep=\"\\t\", header=None)\n", + "\n", + "ev.evaluate_all(test, dir_path, super_reactions)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Embeddings" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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codescoreitem_ididtitlegenres
03211.000000322322Murder at 1600 (1997)Mystery, Thriller
19830.902748984984Shadow Conspiracy (1997)Thriller
29850.894696986986Turbulence (1997)Thriller
37780.890524779779Drop Zone (1994)Action
46860.889220687687McHale's Navy (1997)Comedy, War
53310.887596332332Kiss the Girls (1997)Crime, Drama, Thriller
69870.886547988988Beautician and the Beast, The (1997)Comedy, Romance
710390.88284510401040Two if by Sea (1996)Comedy, Romance
810220.88278210231023Fathers' Day (1997)Comedy
99290.877662930930Chain Reaction (1996)Action, Adventure, Thriller
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" + ], + "text/plain": [ + " code score item_id id title \\\n", + "0 321 1.000000 322 322 Murder at 1600 (1997) \n", + "1 983 0.902748 984 984 Shadow Conspiracy (1997) \n", + "2 985 0.894696 986 986 Turbulence (1997) \n", + "3 778 0.890524 779 779 Drop Zone (1994) \n", + "4 686 0.889220 687 687 McHale's Navy (1997) \n", + "5 331 0.887596 332 332 Kiss the Girls (1997) \n", + "6 987 0.886547 988 988 Beautician and the Beast, The (1997) \n", + "7 1039 0.882845 1040 1040 Two if by Sea (1996) \n", + "8 1022 0.882782 1023 1023 Fathers' Day (1997) \n", + "9 929 0.877662 930 930 Chain Reaction (1996) \n", + "\n", + " genres \n", + "0 Mystery, Thriller \n", + "1 Thriller \n", + "2 Thriller \n", + "3 Action \n", + "4 Comedy, War \n", + "5 Crime, Drama, Thriller \n", + "6 Comedy, Romance \n", + "7 Comedy, Romance \n", + "8 Comedy \n", + "9 Action, Adventure, Thriller " + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "item = random.choice(list(set(train_ui.indices)))\n", + "\n", + "embeddings_norm = (\n", + " model.Qi / np.linalg.norm(model.Qi, axis=1)[:, None]\n", + ") # we do not mean-center here\n", + "# omitting normalization also makes sense, but items with a greater magnitude will be recommended more often\n", + "\n", + "similarity_scores = np.dot(embeddings_norm, embeddings_norm[item].T)\n", + "top_similar_items = pd.DataFrame(\n", + " enumerate(similarity_scores), columns=[\"code\", \"score\"]\n", + ").sort_values(by=[\"score\"], ascending=[False])[:10]\n", + "\n", + "top_similar_items[\"item_id\"] = top_similar_items[\"code\"].apply(\n", + " lambda x: item_code_id[x]\n", + ")\n", + "\n", + "items = pd.read_csv(\"./Datasets/ml-100k/movies.csv\")\n", + "\n", + "result = pd.merge(top_similar_items, items, left_on=\"item_id\", right_on=\"id\")\n", + "\n", + "result" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# project task 5: implement SVD on top baseline (as it is in Surprise library)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# making changes to our implementation by considering additional parameters in the gradient descent procedure\n", + "# seems to be the fastest option\n", + "# please save the output in 'Recommendations generated/ml-100k/Self_SVDBaseline_reco.csv' and\n", + "# 'Recommendations generated/ml-100k/Self_SVDBaseline_estimations.csv'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ready-made SVD - Surprise implementation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### SVD" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generating predictions...\n", + "Generating top N recommendations...\n", + "Generating predictions...\n" + ] + } + ], + "source": [ + "import helpers\n", + "import surprise as sp\n", + "\n", + "algo = sp.SVD(biased=False) # to use unbiased version\n", + "\n", + "helpers.ready_made(\n", + " algo,\n", + " reco_path=\"Recommendations generated/ml-100k/Ready_SVD_reco.csv\",\n", + " estimations_path=\"Recommendations generated/ml-100k/Ready_SVD_estimations.csv\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### SVD biased - on top baseline" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generating predictions...\n", + "Generating top N recommendations...\n", + "Generating predictions...\n" + ] + } + ], + "source": [ + "algo = sp.SVD() # default is biased=True\n", + "\n", + "helpers.ready_made(\n", + " algo,\n", + " reco_path=\"Recommendations generated/ml-100k/Ready_SVDBiased_reco.csv\",\n", + " estimations_path=\"Recommendations generated/ml-100k/Ready_SVDBiased_estimations.csv\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "943it [00:00, 11456.53it/s]\n", + "943it [00:00, 11932.50it/s]\n", + "943it [00:00, 10853.07it/s]\n", + "943it [00:00, 9426.44it/s]\n", + "943it [00:00, 8757.09it/s]\n", + "943it [00:00, 9999.67it/s]\n", + "943it [00:00, 11323.49it/s]\n", + "943it [00:00, 9764.72it/s]\n", + "943it [00:00, 9692.41it/s]\n", + "943it [00:00, 9052.77it/s]\n", + "943it [00:00, 8645.18it/s]\n", + "943it [00:00, 10594.54it/s]\n" + ] + }, + { + "data": { + "text/html": [ + "
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ModelRMSEMAEprecisionrecallF_1F_05precision_superrecall_superNDCGmAPMRRLAUCHRReco in testTest coverageShannonGini
0Self_TopPop2.5082582.2179090.1888650.1169190.1187320.1415840.1304720.1374730.2146510.1117070.4009390.5555460.7656421.0000000.0389613.1590790.987317
0Ready_SVD0.9516520.7509750.0963940.0472520.0528700.0672570.0855150.0747540.1095780.0515620.2355670.5203410.4962880.9955460.2085144.4557550.951624
0Self_SVD0.9143930.7171990.1016970.0423340.0517870.0688110.0924890.0723600.1048390.0489700.1961170.5178890.4803820.8673380.1471863.8525450.972694
0Ready_Baseline0.9494590.7524870.0914100.0376520.0460300.0612860.0796140.0564630.0959570.0431780.1981930.5155010.4379641.0000000.0339112.8365130.991139
0Ready_SVDBiased0.9404130.7395710.0860020.0354780.0431960.0575070.0757510.0534600.0948970.0433610.2091240.5144050.4284200.9973490.1774894.2125090.962656
0Ready_Random1.5218451.2259490.0471900.0207530.0248100.0322690.0295060.0237070.0500750.0187280.1219570.5068930.3297990.9865320.1847045.0997060.907217
0Ready_I-KNN1.0303860.8130670.0260870.0069080.0105930.0160460.0211370.0095220.0242140.0089580.0480680.4998850.1548250.4023330.4343435.1336500.877999
0Ready_I-KNNBaseline0.9353270.7374240.0025450.0007550.0011050.0016020.0022530.0009300.0034440.0013620.0117600.4967240.0212090.4828210.0598852.2325780.994487
0Ready_U-KNN1.0234950.8079130.0007420.0002050.0003050.0004490.0005360.0001980.0008450.0002740.0027440.4964410.0074230.6021210.0108232.0891860.995706
0Self_TopRated1.0307120.8209040.0009540.0001880.0002980.0004810.0006440.0002230.0010430.0003350.0033480.4964330.0095440.6990460.0050511.9459100.995669
0Self_BaselineUI0.9675850.7627400.0009540.0001700.0002780.0004630.0006440.0001890.0007520.0001680.0016770.4964240.0095440.6005300.0050511.8031260.996380
0Self_IKNN1.0183630.8087930.0003180.0001080.0001400.0001890.0000000.0000000.0002140.0000370.0003680.4963910.0031810.3921530.1154404.1747410.965327
\n", + "
" + ], + "text/plain": [ + " Model RMSE MAE precision recall F_1 \\\n", + "0 Self_TopPop 2.508258 2.217909 0.188865 0.116919 0.118732 \n", + "0 Ready_SVD 0.951652 0.750975 0.096394 0.047252 0.052870 \n", + "0 Self_SVD 0.914393 0.717199 0.101697 0.042334 0.051787 \n", + "0 Ready_Baseline 0.949459 0.752487 0.091410 0.037652 0.046030 \n", + "0 Ready_SVDBiased 0.940413 0.739571 0.086002 0.035478 0.043196 \n", + "0 Ready_Random 1.521845 1.225949 0.047190 0.020753 0.024810 \n", + "0 Ready_I-KNN 1.030386 0.813067 0.026087 0.006908 0.010593 \n", + "0 Ready_I-KNNBaseline 0.935327 0.737424 0.002545 0.000755 0.001105 \n", + "0 Ready_U-KNN 1.023495 0.807913 0.000742 0.000205 0.000305 \n", + "0 Self_TopRated 1.030712 0.820904 0.000954 0.000188 0.000298 \n", + "0 Self_BaselineUI 0.967585 0.762740 0.000954 0.000170 0.000278 \n", + "0 Self_IKNN 1.018363 0.808793 0.000318 0.000108 0.000140 \n", + "\n", + " F_05 precision_super recall_super NDCG mAP MRR \\\n", + "0 0.141584 0.130472 0.137473 0.214651 0.111707 0.400939 \n", + "0 0.067257 0.085515 0.074754 0.109578 0.051562 0.235567 \n", + "0 0.068811 0.092489 0.072360 0.104839 0.048970 0.196117 \n", + "0 0.061286 0.079614 0.056463 0.095957 0.043178 0.198193 \n", + "0 0.057507 0.075751 0.053460 0.094897 0.043361 0.209124 \n", + "0 0.032269 0.029506 0.023707 0.050075 0.018728 0.121957 \n", + "0 0.016046 0.021137 0.009522 0.024214 0.008958 0.048068 \n", + "0 0.001602 0.002253 0.000930 0.003444 0.001362 0.011760 \n", + "0 0.000449 0.000536 0.000198 0.000845 0.000274 0.002744 \n", + "0 0.000481 0.000644 0.000223 0.001043 0.000335 0.003348 \n", + "0 0.000463 0.000644 0.000189 0.000752 0.000168 0.001677 \n", + "0 0.000189 0.000000 0.000000 0.000214 0.000037 0.000368 \n", + "\n", + " LAUC HR Reco in test Test coverage Shannon Gini \n", + "0 0.555546 0.765642 1.000000 0.038961 3.159079 0.987317 \n", + "0 0.520341 0.496288 0.995546 0.208514 4.455755 0.951624 \n", + "0 0.517889 0.480382 0.867338 0.147186 3.852545 0.972694 \n", + "0 0.515501 0.437964 1.000000 0.033911 2.836513 0.991139 \n", + "0 0.514405 0.428420 0.997349 0.177489 4.212509 0.962656 \n", + "0 0.506893 0.329799 0.986532 0.184704 5.099706 0.907217 \n", + "0 0.499885 0.154825 0.402333 0.434343 5.133650 0.877999 \n", + "0 0.496724 0.021209 0.482821 0.059885 2.232578 0.994487 \n", + "0 0.496441 0.007423 0.602121 0.010823 2.089186 0.995706 \n", + "0 0.496433 0.009544 0.699046 0.005051 1.945910 0.995669 \n", + "0 0.496424 0.009544 0.600530 0.005051 1.803126 0.996380 \n", + "0 0.496391 0.003181 0.392153 0.115440 4.174741 0.965327 " + ] + }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" diff --git a/P5. 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