From d5a319b22ec7eebe0f6545d68d45e6165bd47e2e Mon Sep 17 00:00:00 2001 From: whats2000 <60466660+whats2000@users.noreply.github.com> Date: Mon, 19 Aug 2024 16:56:33 +0800 Subject: [PATCH] Add: Rerun the CLIP for FashionIQ --- .../clip/CLIP-VIT-G14-laion.ipynb | 7243 +++++++++++++++++ .../clip/CLIP-VIT-G14.ipynb | 7168 ++++++++++++++++ .../clip/CLIP-VIT-H14.ipynb | 7112 ++++++++++++++++ .../clip/CLIP-VIT-L14.ipynb | 7112 ++++++++++++++++ src/fashioniq_experiment/utils.py | 56 + src/fashioniq_experiment/validate_notebook.py | 325 +- src/utils.py | 63 +- src/validate_clip.py | 22 +- 8 files changed, 29069 insertions(+), 32 deletions(-) create mode 100644 src/fashioniq_experiment/clip/CLIP-VIT-G14-laion.ipynb create mode 100644 src/fashioniq_experiment/clip/CLIP-VIT-G14.ipynb create mode 100644 src/fashioniq_experiment/clip/CLIP-VIT-H14.ipynb create mode 100644 src/fashioniq_experiment/clip/CLIP-VIT-L14.ipynb diff --git a/src/fashioniq_experiment/clip/CLIP-VIT-G14-laion.ipynb b/src/fashioniq_experiment/clip/CLIP-VIT-G14-laion.ipynb new file mode 100644 index 0000000..5e35840 --- /dev/null +++ b/src/fashioniq_experiment/clip/CLIP-VIT-G14-laion.ipynb @@ -0,0 +1,7243 @@ +{ + "cells": [ + { + "cell_type": "code", + "id": "initial_id", + "metadata": { + "collapsed": true, + "ExecuteTime": { + "end_time": "2024-08-18T19:58:59.215072Z", + "start_time": "2024-08-18T19:58:59.211805Z" + } + }, + "source": [ + "import json\n", + "from typing import List\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import torch\n", + "from tqdm.notebook import tqdm\n", + "from rich import print\n", + "import matplotlib.pyplot as plt\n", + "from clip import tokenize\n", + "from transformers import CLIPVisionModelWithProjection, CLIPTextModelWithProjection, CLIPImageProcessor\n", + "\n", + "from src.fashioniq_experiment.utils import element_wise_sum_original, element_wise_sum, get_combing_function_with_alpha, \\\n", + " convert_to_pivot_fiq, prepare_and_plot_recall_pivot, prepare_ground_truths, plot_retrieval_results_of_i, \\\n", + " found_better_than_original\n", + "from src.fashioniq_experiment.validate_notebook import fiq_val_retrieval_text_image_grid_search_clip, \\\n", + " compute_results_fiq_val_clip\n", + "from src.utils import device" + ], + "outputs": [], + "execution_count": 2 + }, + { + "metadata": {}, + "cell_type": "markdown", + "source": "#
clip text encoder loaded.\n", + "\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "CLIPTextModelWithProjection(\n", + " (text_model): CLIPTextTransformer(\n", + " (embeddings): CLIPTextEmbeddings(\n", + " (token_embedding): Embedding(49408, 1280)\n", + " (position_embedding): Embedding(77, 1280)\n", + " )\n", + " (encoder): CLIPEncoder(\n", + " (layers): ModuleList(\n", + " (0-31): 32 x CLIPEncoderLayer(\n", + " (self_attn): CLIPAttention(\n", + " (k_proj): Linear(in_features=1280, out_features=1280, bias=True)\n", + " (v_proj): Linear(in_features=1280, out_features=1280, bias=True)\n", + " (q_proj): Linear(in_features=1280, out_features=1280, bias=True)\n", + " (out_proj): Linear(in_features=1280, out_features=1280, bias=True)\n", + " )\n", + " (layer_norm1): LayerNorm((1280,), eps=1e-05, elementwise_affine=True)\n", + " (mlp): CLIPMLP(\n", + " (activation_fn): GELUActivation()\n", + " (fc1): Linear(in_features=1280, out_features=5120, bias=True)\n", + " (fc2): Linear(in_features=5120, out_features=1280, bias=True)\n", + " )\n", + " (layer_norm2): LayerNorm((1280,), eps=1e-05, elementwise_affine=True)\n", + " )\n", + " )\n", + " )\n", + " (final_layer_norm): LayerNorm((1280,), eps=1e-05, elementwise_affine=True)\n", + " )\n", + " (text_projection): Linear(in_features=1280, out_features=1280, bias=False)\n", + ")" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 5 + }, + { + "cell_type": "code", + "id": "8b94e3fe38da9af7", + "metadata": { + "ExecuteTime": { + "end_time": "2024-08-18T20:17:29.284184Z", + "start_time": "2024-08-18T20:17:25.350366Z" + } + }, + "source": [ + "clip_img_encoder = CLIPVisionModelWithProjection.from_pretrained(CLIP_NAME,torch_dtype=torch.float32, projection_dim=1280)\n", + "\n", + "clip_img_encoder = clip_img_encoder.float().to(device)\n", + "print(\"clip img encoder loaded.\")\n", + "clip_img_encoder.eval()" + ], + "outputs": [ + { + "data": { + "text/plain": [ + "Loading checkpoint shards: 0%| | 0/2 [00:00, ?it/s]" + ], + "application/vnd.jupyter.widget-view+json": { + "version_major": 2, + "version_minor": 0, + "model_id": "2fd80c1b09f54e13bd54a89c2ba2bbdd" + } + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "clip img encoder loaded.\n" + ], + "text/html": [ + "
clip img encoder loaded.\n", + "\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "CLIPVisionModelWithProjection(\n", + " (vision_model): CLIPVisionTransformer(\n", + " (embeddings): CLIPVisionEmbeddings(\n", + " (patch_embedding): Conv2d(3, 1664, kernel_size=(14, 14), stride=(14, 14), bias=False)\n", + " (position_embedding): Embedding(257, 1664)\n", + " )\n", + " (pre_layrnorm): LayerNorm((1664,), eps=1e-05, elementwise_affine=True)\n", + " (encoder): CLIPEncoder(\n", + " (layers): ModuleList(\n", + " (0-47): 48 x CLIPEncoderLayer(\n", + " (self_attn): CLIPAttention(\n", + " (k_proj): Linear(in_features=1664, out_features=1664, bias=True)\n", + " (v_proj): Linear(in_features=1664, out_features=1664, bias=True)\n", + " (q_proj): Linear(in_features=1664, out_features=1664, bias=True)\n", + " (out_proj): Linear(in_features=1664, out_features=1664, bias=True)\n", + " )\n", + " (layer_norm1): LayerNorm((1664,), eps=1e-05, elementwise_affine=True)\n", + " (mlp): CLIPMLP(\n", + " (activation_fn): GELUActivation()\n", + " (fc1): Linear(in_features=1664, out_features=8192, bias=True)\n", + " (fc2): Linear(in_features=8192, out_features=1664, bias=True)\n", + " )\n", + " (layer_norm2): LayerNorm((1664,), eps=1e-05, elementwise_affine=True)\n", + " )\n", + " )\n", + " )\n", + " (post_layernorm): LayerNorm((1664,), eps=1e-05, elementwise_affine=True)\n", + " )\n", + " (visual_projection): Linear(in_features=1664, out_features=1280, bias=False)\n", + ")" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 6 + }, + { + "cell_type": "code", + "id": "85082b5e74188c8e", + "metadata": { + "ExecuteTime": { + "end_time": "2024-08-18T20:17:29.304367Z", + "start_time": "2024-08-18T20:17:29.300311Z" + } + }, + "source": [ + "print('CLIP preprocess pipeline is used')\n", + "preprocess = CLIPImageProcessor(\n", + " crop_size={'height': 224, 'width': 224},\n", + " do_center_crop=True,\n", + " do_convert_rgb=True,\n", + " do_normalize=True,\n", + " do_rescale=True,\n", + " do_resize=True,\n", + " image_mean=[0.48145466, 0.4578275, 0.40821073],\n", + " image_std=[0.26862954, 0.26130258, 0.27577711],\n", + " resample=3,\n", + " size={'shortest_edge': 224},\n", + ")" + ], + "outputs": [ + { + "data": { + "text/plain": [ + "CLIP preprocess pipeline is used\n" + ], + "text/html": [ + "
CLIP preprocess pipeline is used\n", + "\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 7 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2024-08-18T20:17:29.359334Z", + "start_time": "2024-08-18T20:17:29.356345Z" + } + }, + "cell_type": "code", + "source": "clip_tokenizer = tokenize", + "id": "3ab9d2d833a3982c", + "outputs": [], + "execution_count": 8 + }, + { + "cell_type": "code", + "id": "d18858611da07dc4", + "metadata": { + "ExecuteTime": { + "end_time": "2024-08-18T20:17:29.465100Z", + "start_time": "2024-08-18T20:17:29.462643Z" + } + }, + "source": "combining_function_original = element_wise_sum_original", + "outputs": [], + "execution_count": 9 + }, + { + "cell_type": "code", + "id": "60348d5f98ae8240", + "metadata": { + "ExecuteTime": { + "end_time": "2024-08-18T20:17:29.512751Z", + "start_time": "2024-08-18T20:17:29.510337Z" + } + }, + "source": "combining_function = lambda image_features, text_features: element_wise_sum(image_features, text_features, alpha=0.65)", + "outputs": [], + "execution_count": 10 + }, + { + "metadata": {}, + "cell_type": "markdown", + "source": "#
Total number of text captions: 74357\n",
+ "
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+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "execution_count": 11
+ },
+ {
+ "metadata": {},
+ "cell_type": "markdown",
+ "source": "# alpha | \n", + "0.00 | \n", + "0.05 | \n", + "0.10 | \n", + "0.15 | \n", + "0.20 | \n", + "0.25 | \n", + "0.30 | \n", + "0.35 | \n", + "0.40 | \n", + "0.45 | \n", + "... | \n", + "0.55 | \n", + "0.60 | \n", + "0.65 | \n", + "0.70 | \n", + "0.75 | \n", + "0.80 | \n", + "0.85 | \n", + "0.90 | \n", + "0.95 | \n", + "1.00 | \n", + "
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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21 rows × 21 columns
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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0.35 | \n", + "20.805712 | \n", + "21.621622 | \n", + "23.151453 | \n", + "24.477307 | \n", + "26.262110 | \n", + "28.760836 | \n", + "31.259561 | \n", + "34.319225 | \n", + "37.582865 | \n", + "41.458440 | \n", + "... | \n", + "50.280470 | \n", + "53.952068 | \n", + "56.144822 | \n", + "57.725650 | \n", + "58.439571 | \n", + "58.490568 | \n", + "56.144822 | \n", + "52.881181 | \n", + "48.750636 | \n", + "45.079041 | \n", + "
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0.45 | \n", + "19.428863 | \n", + "20.601735 | \n", + "21.570627 | \n", + "23.202448 | \n", + "24.936257 | \n", + "26.619071 | \n", + "29.270780 | \n", + "32.585415 | \n", + "35.390106 | \n", + "39.928609 | \n", + "... | \n", + "47.781745 | \n", + "50.739419 | \n", + "53.034168 | \n", + "54.309028 | \n", + "54.869962 | \n", + "54.054052 | \n", + "51.963282 | \n", + "49.005610 | \n", + "45.436001 | \n", + "42.733300 | \n", + "
0.50 | \n", + "18.408975 | \n", + "19.479857 | \n", + "20.550740 | \n", + "22.080570 | \n", + "23.916370 | \n", + "25.803161 | \n", + "28.352880 | \n", + "31.361550 | \n", + "34.421214 | \n", + "38.755736 | \n", + "... | \n", + "45.843956 | \n", + "49.311575 | \n", + "51.402348 | \n", + "52.626210 | \n", + "53.085160 | \n", + "52.167261 | \n", + "49.821520 | \n", + "47.118816 | \n", + "43.957165 | \n", + "41.713411 | \n", + "
0.55 | \n", + "17.746048 | \n", + "18.408975 | \n", + "19.734830 | \n", + "20.856705 | \n", + "23.151453 | \n", + "24.783275 | \n", + "27.282000 | \n", + "30.035695 | \n", + "33.350331 | \n", + "37.378889 | \n", + "... | \n", + "44.671085 | \n", + "47.934726 | \n", + "49.974504 | \n", + "50.892401 | \n", + "51.096380 | \n", + "49.770525 | \n", + "47.526771 | \n", + "45.792964 | \n", + "42.529321 | \n", + "40.642530 | \n", + "
0.60 | \n", + "16.624172 | \n", + "18.001020 | \n", + "18.612953 | \n", + "19.785823 | \n", + "21.927588 | \n", + "23.406425 | \n", + "26.109129 | \n", + "28.556859 | \n", + "32.024476 | \n", + "35.900050 | \n", + "... | \n", + "42.631310 | \n", + "45.894951 | \n", + "48.138705 | \n", + "49.158594 | \n", + "48.597655 | \n", + "47.526771 | \n", + "45.028046 | \n", + "43.294239 | \n", + "41.203469 | \n", + "38.704741 | \n", + "
0.65 | \n", + "15.349312 | \n", + "16.420195 | \n", + "17.644060 | \n", + "18.816930 | \n", + "20.754717 | \n", + "22.590515 | \n", + "24.681285 | \n", + "27.383989 | \n", + "30.290669 | \n", + "34.370220 | \n", + "... | \n", + "40.948495 | \n", + "44.110149 | \n", + "46.200919 | \n", + "47.169811 | \n", + "46.557879 | \n", + "45.385009 | \n", + "43.294239 | \n", + "41.254461 | \n", + "39.163691 | \n", + "37.225905 | \n", + "
0.70 | \n", + "14.380418 | \n", + "15.298317 | \n", + "16.267210 | \n", + "17.338093 | \n", + "19.428863 | \n", + "21.315655 | \n", + "23.763385 | \n", + "26.109129 | \n", + "29.270780 | \n", + "32.636410 | \n", + "... | \n", + "39.571646 | \n", + "42.529321 | \n", + "43.906170 | \n", + "44.824070 | \n", + "44.314125 | \n", + "42.886284 | \n", + "40.693524 | \n", + "39.265680 | \n", + "37.327895 | \n", + "35.798061 | \n", + "
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0.85 | \n", + "12.289649 | \n", + "13.105558 | \n", + "13.819480 | \n", + "14.686385 | \n", + "15.859255 | \n", + "17.185110 | \n", + "19.275880 | \n", + "21.978582 | \n", + "24.528302 | \n", + "27.740949 | \n", + "... | \n", + "34.370220 | \n", + "36.409995 | \n", + "37.990820 | \n", + "38.806731 | \n", + "38.398775 | \n", + "36.715961 | \n", + "35.441101 | \n", + "34.166241 | \n", + "32.993370 | \n", + "32.024476 | \n", + "
0.90 | \n", + "11.575726 | \n", + "12.238654 | \n", + "13.054565 | \n", + "14.176440 | \n", + "15.451300 | \n", + "16.573177 | \n", + "18.306985 | \n", + "20.601735 | \n", + "23.049465 | \n", + "26.109129 | \n", + "... | \n", + "32.585415 | \n", + "34.574196 | \n", + "36.104029 | \n", + "36.664966 | \n", + "35.951045 | \n", + "34.625190 | \n", + "34.064254 | \n", + "32.687405 | \n", + "31.922489 | \n", + "30.596635 | \n", + "
0.95 | \n", + "10.810811 | \n", + "11.626721 | \n", + "12.238654 | \n", + "13.156553 | \n", + "14.227435 | \n", + "15.604283 | \n", + "17.083120 | \n", + "19.122897 | \n", + "21.417645 | \n", + "24.222335 | \n", + "... | \n", + "30.443650 | \n", + "32.738400 | \n", + "33.911270 | \n", + "34.727180 | \n", + "34.319225 | \n", + "32.891381 | \n", + "32.126465 | \n", + "31.259561 | \n", + "30.392656 | \n", + "29.576746 | \n", + "
1.00 | \n", + "10.402856 | \n", + "10.963794 | \n", + "11.575726 | \n", + "12.238654 | \n", + "13.564508 | \n", + "14.533402 | \n", + "16.063233 | \n", + "17.797042 | \n", + "20.193778 | \n", + "22.794493 | \n", + "... | \n", + "28.811830 | \n", + "30.902600 | \n", + "31.667516 | \n", + "32.228455 | \n", + "32.279450 | \n", + "31.769505 | \n", + "30.800611 | \n", + "29.882714 | \n", + "29.321775 | \n", + "28.556859 | \n", + "
21 rows × 21 columns
\n", + "Average Recall@10 for each alpha across all alphas:\n",
+ "
\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "alpha 0.00 0.05 0.10 0.15 0.20 0.25 \\\n",
+ "beta \n",
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+ "0.05 10.754425 11.303278 11.786799 12.489447 13.139647 14.355147 \n",
+ "0.10 10.701635 11.166913 11.682713 12.351497 13.304150 14.138326 \n",
+ "0.15 10.588389 10.935755 11.618667 12.135279 13.320978 14.288702 \n",
+ "0.20 10.324296 10.889295 11.589677 12.237268 13.040110 14.222257 \n",
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+ "0.80 5.071771 5.320832 5.738117 6.191155 6.621756 7.403917 \n",
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+ "0.45 12.958593 14.396432 16.180313 18.171854 ... 24.080173 27.063958 \n",
+ "0.50 12.296403 13.764174 15.644644 17.662004 ... 23.300201 25.801711 \n",
+ "0.55 11.862381 13.064227 14.881369 16.779913 ... 22.357956 24.834720 \n",
+ "0.60 11.297684 12.345260 13.698410 15.816212 ... 21.109495 23.407288 \n",
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+ "0.70 9.417121 10.715725 12.069308 13.766573 ... 18.736042 20.896319 \n",
+ "0.75 8.835124 10.000574 11.373986 12.803738 ... 17.369276 19.535371 \n",
+ "0.80 8.185907 9.137066 10.591485 12.020386 ... 16.466163 18.248799 \n",
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+ "0.95 6.511381 7.297998 8.497405 9.660549 ... 12.710283 14.219665 \n",
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+ "\n",
+ "alpha 0.65 0.70 0.75 0.80 0.85 0.90 \\\n",
+ "beta \n",
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+ "0.05 32.547715 34.961664 36.861608 37.063265 35.120373 31.673671 \n",
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+ "0.35 31.223111 33.007845 33.313168 32.463697 30.904552 28.163012 \n",
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+ "0.50 28.012927 28.947035 29.177682 28.036937 26.462380 24.500812 \n",
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+ "0.85 17.669725 17.971313 18.206284 18.028506 17.411227 16.801315 \n",
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+ "1.00 14.107061 14.793354 14.826747 14.678941 14.113771 13.749275 \n",
+ "\n",
+ "alpha 0.95 1.00 \n",
+ "beta \n",
+ "0.00 26.705895 22.370114 \n",
+ "0.05 27.051939 22.954851 \n",
+ "0.10 27.731035 23.555093 \n",
+ "0.15 27.531816 23.868121 \n",
+ "0.20 26.981075 23.487966 \n",
+ "0.25 26.435434 23.487193 \n",
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+ "0.35 25.182308 22.738780 \n",
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+ "0.45 23.500639 21.283889 \n",
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+ "0.55 21.868758 20.140157 \n",
+ "0.60 20.772507 19.373068 \n",
+ "0.65 19.824180 18.511186 \n",
+ "0.70 18.678257 17.699276 \n",
+ "0.75 17.965373 16.731381 \n",
+ "0.80 16.769795 15.848346 \n",
+ "0.85 15.754890 15.134611 \n",
+ "0.90 14.901356 14.399761 \n",
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+ "1.00 13.286604 13.035355 \n",
+ "\n",
+ "[21 rows x 21 columns]"
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0.15 | \n", + "10.588389 | \n", + "10.935755 | \n", + "11.618667 | \n", + "12.135279 | \n", + "13.320978 | \n", + "14.288702 | \n", + "15.636033 | \n", + "17.151194 | \n", + "18.900135 | \n", + "20.852621 | \n", + "... | \n", + "26.377164 | \n", + "29.829648 | \n", + "33.231268 | \n", + "35.812328 | \n", + "36.744470 | \n", + "36.648431 | \n", + "34.531706 | \n", + "31.090139 | \n", + "27.531816 | \n", + "23.868121 | \n", + "
0.20 | \n", + "10.324296 | \n", + "10.889295 | \n", + "11.589677 | \n", + "12.237268 | \n", + "13.040110 | \n", + "14.222257 | \n", + "15.404141 | \n", + "17.016245 | \n", + "18.851802 | \n", + "20.769518 | \n", + "... | \n", + "26.344847 | \n", + "29.959643 | \n", + "33.108521 | \n", + "35.308991 | \n", + "36.289520 | \n", + "35.948483 | \n", + "34.064384 | \n", + "30.891563 | \n", + "26.981075 | \n", + "23.487966 | \n", + "
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0.35 | \n", + "9.178846 | \n", + "9.809308 | \n", + "10.529047 | \n", + "11.160623 | \n", + "11.892052 | \n", + "12.692194 | \n", + "13.877459 | \n", + "15.525487 | \n", + "17.499426 | \n", + "19.752872 | \n", + "... | \n", + "25.276092 | \n", + "28.507560 | \n", + "31.223111 | \n", + "33.007845 | \n", + "33.313168 | \n", + "32.463697 | \n", + "30.904552 | \n", + "28.163012 | \n", + "25.182308 | \n", + "22.738780 | \n", + "
0.40 | \n", + "8.778087 | \n", + "9.361972 | \n", + "10.028527 | \n", + "10.711229 | \n", + "11.428268 | \n", + "12.161020 | \n", + "13.244258 | \n", + "15.095188 | \n", + "16.791208 | \n", + "18.973411 | \n", + "... | \n", + "24.626666 | \n", + "27.762660 | \n", + "30.274837 | \n", + "31.808019 | \n", + "31.894426 | \n", + "30.979662 | \n", + "29.119479 | \n", + "26.881710 | \n", + "24.349035 | \n", + "22.116232 | \n", + "
0.45 | \n", + "8.267463 | \n", + "8.682520 | \n", + "9.333113 | \n", + "10.079181 | \n", + "10.946844 | \n", + "11.844780 | \n", + "12.958593 | \n", + "14.396432 | \n", + "16.180313 | \n", + "18.171854 | \n", + "... | \n", + "24.080173 | \n", + "27.063958 | \n", + "29.244182 | \n", + "30.313027 | \n", + "30.411543 | \n", + "29.847658 | \n", + "27.825974 | \n", + "25.746625 | \n", + "23.500639 | \n", + "21.283889 | \n", + "
0.50 | \n", + "7.783732 | \n", + "8.250898 | \n", + "8.849592 | \n", + "9.498468 | \n", + "10.313302 | \n", + "11.246728 | \n", + "12.296403 | \n", + "13.764174 | \n", + "15.644644 | \n", + "17.662004 | \n", + "... | \n", + "23.300201 | \n", + "25.801711 | \n", + "28.012927 | \n", + "28.947035 | \n", + "29.177682 | \n", + "28.036937 | \n", + "26.462380 | \n", + "24.500812 | \n", + "22.668900 | \n", + "20.837156 | \n", + "
0.55 | \n", + "7.231746 | \n", + "7.714625 | \n", + "8.198619 | \n", + "8.869159 | \n", + "9.746074 | \n", + "10.781450 | \n", + "11.862381 | \n", + "13.064227 | \n", + "14.881369 | \n", + "16.779913 | \n", + "... | \n", + "22.357956 | \n", + "24.834720 | \n", + "26.499144 | \n", + "27.513693 | \n", + "27.334210 | \n", + "26.239663 | \n", + "24.980311 | \n", + "23.335415 | \n", + "21.868758 | \n", + "20.140157 | \n", + "
0.60 | \n", + "6.849571 | \n", + "7.215220 | \n", + "7.700629 | \n", + "8.352283 | \n", + "9.278777 | \n", + "10.113649 | \n", + "11.297684 | \n", + "12.345260 | \n", + "13.698410 | \n", + "15.816212 | \n", + "... | \n", + "21.109495 | \n", + "23.407288 | \n", + "25.166072 | \n", + "25.987970 | \n", + "25.423652 | \n", + "24.759781 | \n", + "23.514479 | \n", + "22.336434 | \n", + "20.772507 | \n", + "19.373068 | \n", + "
0.65 | \n", + "6.335094 | \n", + "6.783165 | \n", + "7.234918 | \n", + "7.804243 | \n", + "8.448872 | \n", + "9.446058 | \n", + "10.445643 | \n", + "11.498489 | \n", + "12.947205 | \n", + "14.763628 | \n", + "... | \n", + "19.863813 | \n", + "21.942480 | \n", + "23.565541 | \n", + "24.027269 | \n", + "23.874796 | \n", + "23.341774 | \n", + "22.350746 | \n", + "21.206109 | \n", + "19.824180 | \n", + "18.511186 | \n", + "
0.70 | \n", + "5.902869 | \n", + "6.168757 | \n", + "6.585741 | \n", + "7.104674 | \n", + "7.751322 | \n", + "8.548895 | \n", + "9.417121 | \n", + "10.715725 | \n", + "12.069308 | \n", + "13.766573 | \n", + "... | \n", + "18.736042 | \n", + "20.896319 | \n", + "22.076578 | \n", + "22.314512 | \n", + "22.245576 | \n", + "21.915233 | \n", + "20.956499 | \n", + "20.025209 | \n", + "18.678257 | \n", + "17.699276 | \n", + "
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0.85 | \n", + "4.856065 | \n", + "5.055245 | \n", + "5.472020 | \n", + "5.672786 | \n", + "6.141407 | \n", + "6.725501 | \n", + "7.541790 | \n", + "8.358039 | \n", + "9.810910 | \n", + "11.242248 | \n", + "... | \n", + "15.104967 | \n", + "16.702721 | \n", + "17.669725 | \n", + "17.971313 | \n", + "18.206284 | \n", + "18.028506 | \n", + "17.411227 | \n", + "16.801315 | \n", + "15.754890 | \n", + "15.134611 | \n", + "
0.90 | \n", + "4.625116 | \n", + "4.740420 | \n", + "5.073017 | \n", + "5.492399 | \n", + "5.827224 | \n", + "6.278846 | \n", + "7.059552 | \n", + "7.859485 | \n", + "9.127055 | \n", + "10.458292 | \n", + "... | \n", + "13.792840 | \n", + "15.303676 | \n", + "16.674558 | \n", + "16.775944 | \n", + "16.892571 | \n", + "16.696509 | \n", + "16.260338 | \n", + "15.501466 | \n", + "14.901356 | \n", + "14.399761 | \n", + "
0.95 | \n", + "4.192930 | \n", + "4.376226 | \n", + "4.691182 | \n", + "5.127694 | \n", + "5.359927 | \n", + "6.013430 | \n", + "6.511381 | \n", + "7.297998 | \n", + "8.497405 | \n", + "9.660549 | \n", + "... | \n", + "12.710283 | \n", + "14.219665 | \n", + "15.324829 | \n", + "15.695616 | \n", + "15.861009 | \n", + "15.796003 | \n", + "15.045270 | \n", + "14.550569 | \n", + "14.101857 | \n", + "13.665384 | \n", + "
1.00 | \n", + "3.910817 | \n", + "4.128280 | \n", + "4.177990 | \n", + "4.561240 | \n", + "4.896235 | \n", + "5.429165 | \n", + "6.046915 | \n", + "6.615900 | \n", + "7.797535 | \n", + "8.863016 | \n", + "... | \n", + "11.629143 | \n", + "12.975267 | \n", + "14.107061 | \n", + "14.793354 | \n", + "14.826747 | \n", + "14.678941 | \n", + "14.113771 | \n", + "13.749275 | \n", + "13.286604 | \n", + "13.035355 | \n", + "
21 rows × 21 columns
\n", + "Average Recall@50 for each beta across all alphas:\n",
+ "
\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "alpha 0.00 0.05 0.10 0.15 0.20 0.25 \\\n",
+ "beta \n",
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+ "0.05 23.144813 23.978178 25.025624 26.155492 27.419967 28.839654 \n",
+ "0.10 22.895164 23.863099 24.841778 26.053202 27.337035 28.870912 \n",
+ "0.15 22.747280 23.544853 24.841816 25.900859 27.383611 28.752908 \n",
+ "0.20 22.260849 23.259568 24.257644 25.672743 26.838442 28.418044 \n",
+ "0.25 22.077421 22.763544 23.960499 25.158831 26.553249 28.170059 \n",
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+ "0.50 18.135915 19.035005 19.836129 21.118887 22.519309 24.314788 \n",
+ "0.55 17.142806 17.987861 18.840753 19.987696 21.556947 23.070483 \n",
+ "0.60 16.211214 17.162203 17.858731 19.005465 20.476186 21.872282 \n",
+ "0.65 15.096588 15.913217 16.747107 17.811380 19.263006 20.713006 \n",
+ "0.70 14.264717 15.046537 15.845526 16.645458 17.949764 19.466682 \n",
+ "0.75 13.438417 13.934179 14.847488 15.747483 16.932972 18.187645 \n",
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+ "0.20 30.836240 33.216403 36.206178 39.302946 ... 46.218240 48.968414 \n",
+ "0.25 30.337949 33.081795 35.922059 38.969118 ... 45.903469 48.668376 \n",
+ "0.30 30.039991 32.318010 35.453229 38.650192 ... 45.836590 48.652413 \n",
+ "0.35 29.308498 31.857320 34.687099 38.002313 ... 45.136564 47.824791 \n",
+ "0.40 28.645851 31.172403 33.887390 37.071981 ... 44.223611 46.825219 \n",
+ "0.45 27.575626 30.257313 32.852841 36.223599 ... 42.838785 45.337594 \n",
+ "0.50 26.462942 29.141286 31.887058 35.337366 ... 41.254268 44.103654 \n",
+ "0.55 25.283929 27.630751 30.592532 33.825510 ... 40.089304 42.690272 \n",
+ "0.60 23.989991 26.284063 29.033270 32.230586 ... 38.338071 41.004804 \n",
+ "0.65 22.559952 24.758760 27.386241 30.388663 ... 36.854732 39.421874 \n",
+ "0.70 21.300575 23.380225 25.945323 28.709602 ... 35.113040 37.710325 \n",
+ "0.75 19.955434 21.955532 24.434054 27.328275 ... 33.400076 35.728563 \n",
+ "0.80 18.687956 20.642461 22.872564 25.688688 ... 31.521191 33.486011 \n",
+ "0.85 17.340796 19.308747 21.390967 24.022300 ... 29.516521 31.642917 \n",
+ "0.90 16.492739 18.258260 20.109191 22.427156 ... 27.755379 29.765961 \n",
+ "0.95 15.296465 16.895387 18.776761 20.991846 ... 25.858723 28.019000 \n",
+ "1.00 14.315046 15.616049 17.596843 19.562999 ... 24.262556 26.092805 \n",
+ "\n",
+ "alpha 0.65 0.70 0.75 0.80 0.85 0.90 \\\n",
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+ "0.05 51.335365 54.447923 56.608146 57.157775 55.545932 51.412991 \n",
+ "0.10 51.737331 54.798633 56.922291 57.289904 55.628524 51.730895 \n",
+ "0.15 52.000913 54.913087 56.820903 56.942292 54.683291 51.349495 \n",
+ "0.20 52.102864 54.574895 56.452362 56.377004 54.135004 50.746868 \n",
+ "0.25 51.736113 53.978102 55.439532 55.211608 53.219440 49.778386 \n",
+ "0.30 51.272910 53.242833 54.374878 53.999596 51.640326 48.414242 \n",
+ "0.35 50.298120 52.207813 52.857239 52.382368 49.940675 46.717840 \n",
+ "0.40 49.262968 50.720999 51.142952 50.434903 47.778393 44.967971 \n",
+ "0.45 47.910684 49.404731 49.576547 48.106678 45.783368 43.204995 \n",
+ "0.50 46.493922 47.462064 47.748618 45.980846 43.884159 41.457731 \n",
+ "0.55 44.981932 46.011645 45.242250 43.914526 41.755232 39.585835 \n",
+ "0.60 43.315217 44.215708 43.274484 41.733937 39.606359 37.584165 \n",
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+ "0.70 39.155907 39.645025 38.918261 37.442220 35.661456 33.939224 \n",
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+ "0.80 35.428376 35.500090 35.028639 33.453256 31.988340 30.575834 \n",
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+ "0.95 28.854461 29.325937 29.025713 28.174941 27.248015 26.369383 \n",
+ "1.00 26.939314 27.161560 27.377383 26.699858 25.836127 25.138130 \n",
+ "\n",
+ "alpha 0.95 1.00 \n",
+ "beta \n",
+ "0.00 45.276871 39.389681 \n",
+ "0.05 46.079675 40.421490 \n",
+ "0.10 46.047682 40.802853 \n",
+ "0.15 46.194491 41.071519 \n",
+ "0.20 45.860021 40.770915 \n",
+ "0.25 45.144190 40.619216 \n",
+ "0.30 43.979435 40.272414 \n",
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+ "0.40 41.397052 38.155650 \n",
+ "0.45 39.863306 37.138726 \n",
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+ "0.65 33.759728 32.029711 \n",
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+ "0.75 30.878234 29.600652 \n",
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+ "0.90 26.920031 25.988254 \n",
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+ "[21 rows x 21 columns]"
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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21 rows × 21 columns
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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1.00 | \n", + "10.402856 | \n", + "10.963794 | \n", + "11.575726 | \n", + "12.238654 | \n", + "13.564508 | \n", + "14.533402 | \n", + "16.063233 | \n", + "17.797042 | \n", + "20.193778 | \n", + "22.794493 | \n", + "... | \n", + "28.811830 | \n", + "30.902600 | \n", + "31.667516 | \n", + "32.228455 | \n", + "32.279450 | \n", + "31.769505 | \n", + "30.800611 | \n", + "29.882714 | \n", + "29.321775 | \n", + "28.556859 | \n", + "
21 rows × 21 columns
\n", + "Average Recall@10 for each alpha across all alphas:\n",
+ "
\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "\n",
+ "alpha 0.65 0.70 0.75 0.80 0.85 0.90 \\\n",
+ "beta \n",
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+ "alpha 0.95 1.00 \n",
+ "beta \n",
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+ "0.05 27.051939 22.954851 \n",
+ "0.10 27.731035 23.555093 \n",
+ "0.15 27.531816 23.868121 \n",
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+ "[21 rows x 21 columns]"
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0.85 | \n", + "4.856065 | \n", + "5.055245 | \n", + "5.472020 | \n", + "5.672786 | \n", + "6.141407 | \n", + "6.725501 | \n", + "7.541790 | \n", + "8.358039 | \n", + "9.810910 | \n", + "11.242248 | \n", + "... | \n", + "15.104967 | \n", + "16.702721 | \n", + "17.669725 | \n", + "17.971313 | \n", + "18.206284 | \n", + "18.028506 | \n", + "17.411227 | \n", + "16.801315 | \n", + "15.754890 | \n", + "15.134611 | \n", + "
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21 rows × 21 columns
\n", + "Average Recall@50 for each beta across all alphas:\n",
+ "
\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "alpha 0.95 1.00 \n",
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+ "0.05 46.079675 40.421490 \n",
+ "0.10 46.047682 40.802853 \n",
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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1.00 | \n", + "3.263641 | \n", + "3.467619 | \n", + "4.028557 | \n", + "4.793473 | \n", + "4.997450 | \n", + "5.558389 | \n", + "6.374299 | \n", + "7.649159 | \n", + "9.077001 | \n", + "10.351861 | \n", + "... | \n", + "14.482407 | \n", + "15.808260 | \n", + "15.757267 | \n", + "16.522183 | \n", + "16.573177 | \n", + "16.675165 | \n", + "16.522183 | \n", + "16.471188 | \n", + "16.165222 | \n", + "15.910250 | \n", + "
21 rows × 21 columns
\n", + "alpha | \n", + "0.00 | \n", + "0.05 | \n", + "0.10 | \n", + "0.15 | \n", + "0.20 | \n", + "0.25 | \n", + "0.30 | \n", + "0.35 | \n", + "0.40 | \n", + "0.45 | \n", + "... | \n", + "0.55 | \n", + "0.60 | \n", + "0.65 | \n", + "0.70 | \n", + "0.75 | \n", + "0.80 | \n", + "0.85 | \n", + "0.90 | \n", + "0.95 | \n", + "1.00 | \n", + "
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
0.00 | \n", + "22.743498 | \n", + "23.304437 | \n", + "24.069352 | \n", + "25.344211 | \n", + "26.109129 | \n", + "27.536970 | \n", + "28.760836 | \n", + "30.698624 | \n", + "33.656299 | \n", + "36.308005 | \n", + "... | \n", + "43.447220 | \n", + "47.322795 | \n", + "51.453340 | \n", + "54.563999 | \n", + "57.419682 | \n", + "59.102499 | \n", + "58.643550 | \n", + "56.297809 | \n", + "51.096380 | \n", + "44.875064 | \n", + "
0.05 | \n", + "22.284548 | \n", + "22.998470 | \n", + "24.018358 | \n", + "25.140235 | \n", + "26.262110 | \n", + "27.740949 | \n", + "29.219785 | \n", + "31.463540 | \n", + "34.370220 | \n", + "37.123916 | \n", + "... | \n", + "44.365120 | \n", + "48.240694 | \n", + "52.269250 | \n", + "55.277920 | \n", + "58.541560 | \n", + "59.306479 | \n", + "58.592552 | \n", + "56.144822 | \n", + "50.892401 | \n", + "45.181030 | \n", + "
0.10 | \n", + "22.182560 | \n", + "23.049465 | \n", + "24.120347 | \n", + "24.987252 | \n", + "26.160121 | \n", + "28.046915 | \n", + "29.372770 | \n", + "31.667516 | \n", + "35.084140 | \n", + "38.245794 | \n", + "... | \n", + "45.486996 | \n", + "49.821520 | \n", + "52.779192 | \n", + "56.399798 | \n", + "58.643550 | \n", + "59.867412 | \n", + "58.796531 | \n", + "55.940849 | \n", + "51.045388 | \n", + "45.639980 | \n", + "
0.15 | \n", + "21.978582 | \n", + "22.794493 | \n", + "23.814380 | \n", + "24.834268 | \n", + "26.364100 | \n", + "27.893931 | \n", + "29.678735 | \n", + "31.871495 | \n", + "35.594085 | \n", + "38.653749 | \n", + "... | \n", + "45.690975 | \n", + "50.229472 | \n", + "53.442121 | \n", + "56.348801 | \n", + "58.694541 | \n", + "59.051502 | \n", + "58.388579 | \n", + "55.226928 | \n", + "50.841409 | \n", + "45.334014 | \n", + "
0.20 | \n", + "21.774605 | \n", + "22.182560 | \n", + "23.508415 | \n", + "24.732280 | \n", + "26.670066 | \n", + "27.587965 | \n", + "29.270780 | \n", + "32.177460 | \n", + "35.798061 | \n", + "39.010710 | \n", + "... | \n", + "46.047935 | \n", + "50.433451 | \n", + "53.748089 | \n", + "56.297809 | \n", + "58.235592 | \n", + "58.184600 | \n", + "57.419682 | \n", + "54.513001 | \n", + "50.076491 | \n", + "45.588985 | \n", + "
0.25 | \n", + "21.111678 | \n", + "22.029577 | \n", + "23.457420 | \n", + "24.987252 | \n", + "26.211116 | \n", + "27.587965 | \n", + "28.964815 | \n", + "31.922489 | \n", + "35.288119 | \n", + "38.551760 | \n", + "... | \n", + "46.353900 | \n", + "50.280470 | \n", + "53.340131 | \n", + "55.736870 | \n", + "58.082610 | \n", + "57.725650 | \n", + "55.991840 | \n", + "52.779192 | \n", + "48.801631 | \n", + "45.028046 | \n", + "
0.30 | \n", + "20.856705 | \n", + "21.978582 | \n", + "22.998470 | \n", + "24.528302 | \n", + "25.956145 | \n", + "27.129015 | \n", + "29.474759 | \n", + "31.820500 | \n", + "35.186130 | \n", + "38.143805 | \n", + "... | \n", + "46.149924 | \n", + "50.229472 | \n", + "53.238142 | \n", + "55.634880 | \n", + "56.705761 | \n", + "55.736870 | \n", + "54.513001 | \n", + "51.861298 | \n", + "47.730750 | \n", + "44.518104 | \n", + "
0.35 | \n", + "20.448750 | \n", + "21.213667 | \n", + "22.335543 | \n", + "23.916370 | \n", + "25.293219 | \n", + "26.925039 | \n", + "29.168791 | \n", + "31.769505 | \n", + "34.625190 | \n", + "38.143805 | \n", + "... | \n", + "45.639980 | \n", + "49.413565 | \n", + "52.320242 | \n", + "54.818970 | \n", + "54.971951 | \n", + "53.901070 | \n", + "52.932179 | \n", + "50.229472 | \n", + "47.016829 | \n", + "43.396226 | \n", + "
0.40 | \n", + "19.734830 | \n", + "20.397756 | \n", + "21.519633 | \n", + "22.947475 | \n", + "24.834268 | \n", + "26.058134 | \n", + "28.862825 | \n", + "31.616521 | \n", + "34.115246 | \n", + "37.735850 | \n", + "... | \n", + "45.130035 | \n", + "48.393676 | \n", + "51.453340 | \n", + "52.932179 | \n", + "53.442121 | \n", + "52.320242 | \n", + "50.943398 | \n", + "48.903620 | \n", + "45.945945 | \n", + "42.274350 | \n", + "
0.45 | \n", + "18.255992 | \n", + "19.275880 | \n", + "20.346762 | \n", + "21.978582 | \n", + "23.712392 | \n", + "25.701174 | \n", + "27.944925 | \n", + "30.698624 | \n", + "33.809280 | \n", + "37.072921 | \n", + "... | \n", + "44.008160 | \n", + "47.271800 | \n", + "49.872515 | \n", + "51.657319 | \n", + "51.402348 | \n", + "50.433451 | \n", + "48.801631 | \n", + "47.016829 | \n", + "44.059154 | \n", + "40.591535 | \n", + "
0.50 | \n", + "16.777155 | \n", + "18.204997 | \n", + "19.428863 | \n", + "20.499745 | \n", + "22.488527 | \n", + "24.375318 | \n", + "26.925039 | \n", + "29.423764 | \n", + "32.840389 | \n", + "35.849056 | \n", + "... | \n", + "43.090260 | \n", + "46.251911 | \n", + "48.393676 | \n", + "50.076491 | \n", + "50.025499 | \n", + "49.158594 | \n", + "47.220805 | \n", + "44.824070 | \n", + "42.274350 | \n", + "39.316675 | \n", + "
0.55 | \n", + "16.165222 | \n", + "17.083120 | \n", + "18.103008 | \n", + "19.530852 | \n", + "21.264660 | \n", + "23.253442 | \n", + "25.599185 | \n", + "28.199899 | \n", + "31.565529 | \n", + "34.829170 | \n", + "... | \n", + "41.560429 | \n", + "44.773075 | \n", + "46.506885 | \n", + "47.730750 | \n", + "47.934726 | \n", + "47.271800 | \n", + "45.588985 | \n", + "43.090260 | \n", + "40.693524 | \n", + "37.990820 | \n", + "
0.60 | \n", + "14.788373 | \n", + "16.165222 | \n", + "17.134115 | \n", + "18.765935 | \n", + "20.397756 | \n", + "21.876593 | \n", + "24.681285 | \n", + "26.823050 | \n", + "30.086690 | \n", + "33.605304 | \n", + "... | \n", + "40.795511 | \n", + "43.294239 | \n", + "45.690975 | \n", + "46.200919 | \n", + "45.436001 | \n", + "45.130035 | \n", + "43.345231 | \n", + "41.203469 | \n", + "39.010710 | \n", + "36.817950 | \n", + "
0.65 | \n", + "14.278430 | \n", + "15.043345 | \n", + "16.369200 | \n", + "17.746048 | \n", + "19.173890 | \n", + "21.162672 | \n", + "23.457420 | \n", + "26.058134 | \n", + "28.862825 | \n", + "32.483426 | \n", + "... | \n", + "39.367670 | \n", + "42.019379 | \n", + "43.906170 | \n", + "44.518104 | \n", + "44.467109 | \n", + "42.580315 | \n", + "41.560429 | \n", + "39.571646 | \n", + "37.633860 | \n", + "35.747069 | \n", + "
0.70 | \n", + "13.462520 | \n", + "14.380418 | \n", + "15.349312 | \n", + "16.675165 | \n", + "18.816930 | \n", + "19.989800 | \n", + "22.692505 | \n", + "24.936257 | \n", + "27.893931 | \n", + "30.953595 | \n", + "... | \n", + "38.092810 | \n", + "40.387556 | \n", + "41.866395 | \n", + "42.580315 | \n", + "42.325345 | \n", + "40.744519 | \n", + "39.265680 | \n", + "37.786844 | \n", + "36.206016 | \n", + "34.778175 | \n", + "
0.75 | \n", + "13.156553 | \n", + "13.819480 | \n", + "14.584395 | \n", + "15.910250 | \n", + "17.542070 | \n", + "19.173890 | \n", + "21.213667 | \n", + "24.069352 | \n", + "26.823050 | \n", + "30.137685 | \n", + "... | \n", + "36.511984 | \n", + "38.755736 | \n", + "40.336564 | \n", + "40.897501 | \n", + "40.591535 | \n", + "39.112699 | \n", + "37.939826 | \n", + "36.359000 | \n", + "34.880164 | \n", + "33.299336 | \n", + "
0.80 | \n", + "12.187659 | \n", + "13.003570 | \n", + "13.768485 | \n", + "14.941357 | \n", + "16.726160 | \n", + "18.154003 | \n", + "20.346762 | \n", + "22.743498 | \n", + "25.803161 | \n", + "29.066804 | \n", + "... | \n", + "35.084140 | \n", + "37.378889 | \n", + "38.551760 | \n", + "39.163691 | \n", + "38.245794 | \n", + "37.276900 | \n", + "36.409995 | \n", + "35.084140 | \n", + "33.503315 | \n", + "32.177460 | \n", + "
0.85 | \n", + "11.575726 | \n", + "12.391637 | \n", + "13.156553 | \n", + "14.023457 | \n", + "15.706272 | \n", + "17.032127 | \n", + "19.377868 | \n", + "21.468638 | \n", + "24.324325 | \n", + "27.332994 | \n", + "... | \n", + "33.758286 | \n", + "35.849056 | \n", + "37.582865 | \n", + "37.021929 | \n", + "36.562979 | \n", + "35.594085 | \n", + "34.727180 | \n", + "33.503315 | \n", + "32.432431 | \n", + "31.259561 | \n", + "
0.90 | \n", + "10.759816 | \n", + "11.728710 | \n", + "12.646610 | \n", + "13.411525 | \n", + "14.431413 | \n", + "16.318205 | \n", + "18.204997 | \n", + "20.448750 | \n", + "22.998470 | \n", + "26.262110 | \n", + "... | \n", + "32.177460 | \n", + "34.370220 | \n", + "35.390106 | \n", + "35.492095 | \n", + "34.880164 | \n", + "34.370220 | \n", + "33.452320 | \n", + "31.820500 | \n", + "31.412545 | \n", + "30.290669 | \n", + "
0.95 | \n", + "10.453850 | \n", + "11.116777 | \n", + "11.881693 | \n", + "12.646610 | \n", + "13.258542 | \n", + "15.349312 | \n", + "17.185110 | \n", + "19.479857 | \n", + "21.876593 | \n", + "25.140235 | \n", + "... | \n", + "30.443650 | \n", + "32.942376 | \n", + "33.860275 | \n", + "33.911270 | \n", + "33.707291 | \n", + "32.891381 | \n", + "31.769505 | \n", + "31.106579 | \n", + "30.290669 | \n", + "29.015809 | \n", + "
1.00 | \n", + "10.096889 | \n", + "10.810811 | \n", + "11.473738 | \n", + "12.085670 | \n", + "12.799592 | \n", + "14.329425 | \n", + "16.216215 | \n", + "18.154003 | \n", + "20.754717 | \n", + "23.712392 | \n", + "... | \n", + "28.811830 | \n", + "31.565529 | \n", + "32.432431 | \n", + "32.687405 | \n", + "32.279450 | \n", + "32.075471 | \n", + "30.545640 | \n", + "29.933706 | \n", + "28.862825 | \n", + "27.842936 | \n", + "
21 rows × 21 columns
\n", + "Average Recall@10 for each alpha across all alphas:\n",
+ "
\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "alpha 0.00 0.05 0.10 0.15 0.20 0.25 \\\n",
+ "beta \n",
+ "0.00 9.960116 10.392040 10.758672 11.275587 11.806760 12.456147 \n",
+ "0.05 9.891993 10.343615 10.792970 11.156731 11.821320 12.489160 \n",
+ "0.10 9.859753 10.359027 10.677063 11.291641 12.022637 12.739505 \n",
+ "0.15 9.627389 10.077727 10.461186 11.111857 11.809027 12.623087 \n",
+ "0.20 9.360046 9.877223 10.277340 10.944668 11.526705 12.508727 \n",
+ "0.25 9.074629 9.542568 10.160961 10.729001 11.377706 12.324920 \n",
+ "0.30 8.812385 9.262854 9.796898 10.347128 11.029095 12.046018 \n",
+ "0.35 8.313110 8.746109 9.296038 9.896186 10.579531 11.565197 \n",
+ "0.40 8.061311 8.429358 9.011054 9.579736 10.079614 11.047338 \n",
+ "0.45 7.563661 8.063067 8.548515 9.128927 9.678344 10.549650 \n",
+ "0.50 6.998832 7.498408 7.962835 8.613297 9.130342 9.931900 \n",
+ "0.55 6.534065 6.715304 7.198183 7.927685 8.545265 9.298358 \n",
+ "0.60 6.003062 6.335396 6.801579 7.299019 8.181504 8.912972 \n",
+ "0.65 5.637584 6.021855 6.337454 6.871459 7.584946 8.349899 \n",
+ "0.70 5.256693 5.524206 6.056625 6.541392 7.056983 7.836707 \n",
+ "0.75 4.795570 5.144089 5.562961 6.092339 6.559466 7.208814 \n",
+ "0.80 4.696622 4.896274 5.246380 5.661699 6.193987 6.643513 \n",
+ "0.85 4.529681 4.678982 5.012390 5.395680 5.812454 6.293407 \n",
+ "0.90 4.178462 4.396567 4.829736 5.146619 5.544980 5.943642 \n",
+ "0.95 3.862562 4.161804 4.496668 4.881373 5.212855 5.694752 \n",
+ "1.00 3.563582 3.812000 4.064744 4.467600 4.847206 5.263679 \n",
+ "\n",
+ "alpha 0.30 0.35 0.40 0.45 ... 0.55 0.60 \\\n",
+ "beta ... \n",
+ "0.00 13.339392 14.307418 15.570006 17.432062 ... 22.394908 25.024604 \n",
+ "0.05 13.606093 14.523635 15.822788 17.883761 ... 23.180411 25.975538 \n",
+ "0.10 13.788314 14.792734 16.192724 18.188103 ... 23.531933 26.610248 \n",
+ "0.15 13.575269 14.829903 16.342836 18.377271 ... 23.619586 26.645072 \n",
+ "0.20 13.525520 15.026646 16.427447 18.476614 ... 23.782332 26.813219 \n",
+ "0.25 13.341070 14.940541 16.539540 18.456064 ... 23.687082 26.484608 \n",
+ "0.30 13.131275 14.643999 16.243168 18.122616 ... 23.205618 25.902702 \n",
+ "0.35 12.730306 14.210449 15.925434 17.855876 ... 22.737523 25.103085 \n",
+ "0.40 12.063489 13.496754 15.246035 17.294482 ... 22.292075 24.488220 \n",
+ "0.45 11.466644 12.811443 14.748177 16.426649 ... 21.593450 23.725340 \n",
+ "0.50 10.900870 12.252185 14.200137 15.911452 ... 20.962268 22.760184 \n",
+ "0.55 10.165038 11.616454 13.447739 15.097655 ... 19.798666 21.895183 \n",
+ "0.60 9.732170 10.999779 12.633037 14.633832 ... 18.732388 20.681361 \n",
+ "0.65 9.183867 10.352961 12.085639 13.800847 ... 17.952665 19.814852 \n",
+ "0.70 8.718891 9.686786 11.337002 12.920813 ... 17.071556 18.820118 \n",
+ "0.75 8.007593 9.059495 10.587724 12.287821 ... 16.256134 17.619898 \n",
+ "0.80 7.510455 8.514365 9.991861 11.605382 ... 15.205346 16.770387 \n",
+ "0.85 7.094926 8.095323 9.473229 10.792436 ... 14.255130 15.733517 \n",
+ "0.90 6.612387 7.662664 8.758759 10.190871 ... 13.391112 14.907860 \n",
+ "0.95 6.278676 7.162748 8.291764 9.690352 ... 12.460386 13.942154 \n",
+ "1.00 5.962095 6.730863 7.961396 8.910079 ... 11.666102 12.928233 \n",
+ "\n",
+ "alpha 0.65 0.70 0.75 0.80 0.85 0.90 \\\n",
+ "beta \n",
+ "0.00 28.258000 31.185691 33.677345 34.193747 33.599928 30.396376 \n",
+ "0.05 29.104678 31.926374 34.090134 34.881115 33.768548 30.863580 \n",
+ "0.10 29.407658 32.276517 34.257522 35.011885 33.569420 30.880501 \n",
+ "0.15 29.558583 32.327265 33.977861 34.082327 33.169699 30.412916 \n",
+ "0.20 29.727712 32.005939 33.291699 33.430239 32.140588 29.582461 \n",
+ "0.25 29.131432 31.409527 32.377328 32.550299 30.830858 28.354265 \n",
+ "0.30 28.830447 30.407860 31.271786 30.806208 29.499637 27.385897 \n",
+ "0.35 27.628237 29.277535 29.843674 29.409050 28.162501 25.851563 \n",
+ "0.40 26.933427 28.201021 28.532110 27.744642 26.628378 24.850747 \n",
+ "0.45 26.022871 26.771114 27.148438 26.478449 25.482678 23.586743 \n",
+ "0.50 24.509938 25.688611 25.391031 25.195613 23.990086 22.373865 \n",
+ "0.55 23.575830 24.141472 24.025984 23.462137 22.623188 21.191772 \n",
+ "0.60 22.428586 22.759463 22.626599 22.082017 21.226032 20.072311 \n",
+ "0.65 20.944078 21.516312 21.079577 20.872730 20.093045 19.123000 \n",
+ "0.70 19.647270 20.266776 20.152703 19.812270 18.759463 18.125658 \n",
+ "0.75 18.548319 19.022247 18.790093 18.541450 17.777913 17.227984 \n",
+ "0.80 17.487387 17.988496 17.692898 17.357207 16.960262 16.362380 \n",
+ "0.85 16.519964 16.757203 16.705946 16.493057 15.976313 15.596838 \n",
+ "0.90 15.288580 15.757410 15.789348 15.708799 15.293572 14.981107 \n",
+ "0.95 14.206535 14.788873 14.988773 14.674970 14.460115 14.248013 \n",
+ "1.00 13.207684 13.890124 14.105436 13.975362 13.728267 13.316855 \n",
+ "\n",
+ "alpha 0.95 1.00 \n",
+ "beta \n",
+ "0.00 26.223001 22.262216 \n",
+ "0.05 27.040181 22.963711 \n",
+ "0.10 26.825680 23.279178 \n",
+ "0.15 26.364217 23.443968 \n",
+ "0.20 26.084973 22.729683 \n",
+ "0.25 25.319825 22.527856 \n",
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1.00 | \n", + "3.563582 | \n", + "3.812000 | \n", + "4.064744 | \n", + "4.467600 | \n", + "4.847206 | \n", + "5.263679 | \n", + "5.962095 | \n", + "6.730863 | \n", + "7.961396 | \n", + "8.910079 | \n", + "... | \n", + "11.666102 | \n", + "12.928233 | \n", + "13.207684 | \n", + "13.890124 | \n", + "14.105436 | \n", + "13.975362 | \n", + "13.728267 | \n", + "13.316855 | \n", + "13.101056 | \n", + "12.802417 | \n", + "
21 rows × 21 columns
\n", + "Average Recall@50 for each beta across all alphas:\n",
+ "
\n"
+ ]
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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21 rows × 21 columns
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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21 rows × 21 columns
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
beta | \n", + "\n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " | \n", + " |
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0.85 | \n", + "10.606834 | \n", + "10.963794 | \n", + "11.983681 | \n", + "12.799592 | \n", + "13.666497 | \n", + "14.788373 | \n", + "16.165222 | \n", + "18.001020 | \n", + "20.193778 | \n", + "22.080570 | \n", + "... | \n", + "24.426313 | \n", + "25.191230 | \n", + "25.497195 | \n", + "25.038245 | \n", + "25.446200 | \n", + "24.885263 | \n", + "24.528302 | \n", + "24.324325 | \n", + "23.457420 | \n", + "23.304437 | \n", + "
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0.95 | \n", + "10.045895 | \n", + "10.555839 | \n", + "11.065783 | \n", + "11.830699 | \n", + "12.850587 | \n", + "14.125445 | \n", + "15.451300 | \n", + "16.828150 | \n", + "18.459970 | \n", + "19.989800 | \n", + "... | \n", + "22.182560 | \n", + "22.896482 | \n", + "22.845487 | \n", + "23.100460 | \n", + "22.539520 | \n", + "22.284548 | \n", + "21.723610 | \n", + "21.774605 | \n", + "21.723610 | \n", + "21.315655 | \n", + "
1.00 | \n", + "9.484956 | \n", + "10.096889 | \n", + "10.810811 | \n", + "11.320755 | \n", + "12.289649 | \n", + "13.615502 | \n", + "14.890362 | \n", + "16.063233 | \n", + "17.746048 | \n", + "19.275880 | \n", + "... | \n", + "21.213667 | \n", + "21.417645 | \n", + "21.366650 | \n", + "21.876593 | \n", + "21.366650 | \n", + "21.111678 | \n", + "20.754717 | \n", + "20.754717 | \n", + "20.601735 | \n", + "20.244773 | \n", + "
21 rows × 21 columns
\n", + "Average Recall@10 for each alpha across all alphas:\n",
+ "
\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "alpha 0.00 0.05 0.10 0.15 0.20 0.25 \\\n",
+ "beta \n",
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+ "0.05 8.876655 9.210234 9.791026 10.141000 11.073915 11.893454 \n",
+ "0.10 8.809986 9.226668 9.657308 10.108930 10.909714 11.877570 \n",
+ "0.15 8.678326 8.975209 9.508781 9.941479 10.776390 11.775070 \n",
+ "0.20 8.163338 8.575316 9.108153 9.592828 10.472482 11.240476 \n",
+ "0.25 7.796537 8.112003 8.579510 9.242343 10.024163 10.841775 \n",
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+ "0.60 5.321907 5.718039 6.218258 6.620472 6.920356 7.687105 \n",
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+ "0.75 4.575236 4.825411 5.173381 5.492701 5.959054 6.542166 \n",
+ "0.80 4.359530 4.576482 4.825713 5.207075 5.575595 6.044307 \n",
+ "0.85 4.064102 4.378245 4.661302 4.925303 5.242016 5.776492 \n",
+ "0.90 3.897804 4.098570 4.330764 4.627778 4.942432 5.426085 \n",
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+ "0.25 12.056332 13.356900 14.774924 16.375810 ... 20.875375 23.159042 \n",
+ "0.30 11.590581 12.874284 14.473205 16.091902 ... 20.025655 22.359619 \n",
+ "0.35 11.060692 12.443304 14.042867 15.696164 ... 19.095741 21.148799 \n",
+ "0.40 10.443337 11.828818 13.262122 15.026738 ... 18.716738 20.296549 \n",
+ "0.45 9.848024 11.195106 12.610979 14.095842 ... 17.666592 18.776498 \n",
+ "0.50 9.452061 10.530346 11.896261 13.180698 ... 16.530944 17.307101 \n",
+ "0.55 9.153213 9.935335 11.162565 12.432873 ... 15.463591 16.175531 \n",
+ "0.60 8.538163 9.401461 10.515746 11.951712 ... 14.563479 15.293570 \n",
+ "0.65 8.106750 8.850891 10.117517 11.203849 ... 13.862797 14.480152 \n",
+ "0.70 7.575878 8.454929 9.616827 10.770208 ... 13.215506 13.447136 \n",
+ "0.75 7.258013 7.806185 8.970822 10.121974 ... 12.252789 12.652643 \n",
+ "0.80 6.708557 7.439081 8.508283 9.525547 ... 11.357250 11.719557 \n",
+ "0.85 6.309894 7.107087 8.028274 8.994846 ... 10.675323 10.906781 \n",
+ "0.90 5.928361 6.692541 7.509170 8.460972 ... 9.943173 10.408621 \n",
+ "0.95 5.462782 6.246869 7.079343 8.030673 ... 9.329918 9.711451 \n",
+ "1.00 5.199292 6.015751 6.814228 7.548095 ... 8.848416 9.132023 \n",
+ "\n",
+ "alpha 0.65 0.70 0.75 0.80 0.85 0.90 \\\n",
+ "beta \n",
+ "0.00 26.721462 29.836133 32.108582 32.585064 31.570237 28.704178 \n",
+ "0.05 27.221733 29.918569 31.754034 32.481936 31.523792 29.125502 \n",
+ "0.10 27.237122 30.116860 31.468763 31.536099 30.707819 28.195983 \n",
+ "0.15 26.704075 29.151417 30.316905 30.224838 29.140682 27.181851 \n",
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+ "0.25 25.202506 26.308390 27.191883 26.575665 25.850527 24.577873 \n",
+ "0.30 23.806409 25.056285 25.125981 24.847025 24.133538 22.965520 \n",
+ "0.35 22.423418 23.258957 23.310711 23.169420 22.557527 21.634678 \n",
+ "0.40 21.077674 21.764346 21.667481 21.390675 21.128470 20.064026 \n",
+ "0.45 19.592354 20.228752 19.934686 19.910022 19.402531 18.536246 \n",
+ "0.50 18.390168 18.728661 18.437846 18.543989 18.085776 17.118694 \n",
+ "0.55 16.941073 17.264743 17.122336 17.311452 16.682104 16.219132 \n",
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+ "0.85 11.241173 11.389700 11.509236 11.381167 11.436827 11.106026 \n",
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+ "1.00 9.346785 9.429548 9.515691 9.636172 9.520474 9.321503 \n",
+ "\n",
+ "alpha 0.95 1.00 \n",
+ "beta \n",
+ "0.00 24.903178 21.589564 \n",
+ "0.05 25.482868 22.421984 \n",
+ "0.10 25.250899 22.258008 \n",
+ "0.15 24.687198 22.244312 \n",
+ "0.20 23.981315 21.829518 \n",
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+ "0.75 12.251515 11.786237 \n",
+ "0.80 11.452317 11.153848 \n",
+ "0.85 10.703170 10.502837 \n",
+ "0.90 10.203896 10.068553 \n",
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+ "1.00 9.219344 9.119793 \n",
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+ "[21 rows x 21 columns]"
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0.65 | \n", + "5.057435 | \n", + "5.489320 | \n", + "5.804446 | \n", + "6.255295 | \n", + "6.539938 | \n", + "7.240110 | \n", + "8.106750 | \n", + "8.850891 | \n", + "10.117517 | \n", + "11.203849 | \n", + "... | \n", + "13.862797 | \n", + "14.480152 | \n", + "14.711690 | \n", + "14.802329 | \n", + "14.813417 | \n", + "14.647800 | \n", + "14.499784 | \n", + "14.203111 | \n", + "13.771396 | \n", + "13.185375 | \n", + "
0.70 | \n", + "4.824598 | \n", + "5.256615 | \n", + "5.606550 | \n", + "5.923301 | \n", + "6.289933 | \n", + "6.824279 | \n", + "7.575878 | \n", + "8.454929 | \n", + "9.616827 | \n", + "10.770208 | \n", + "... | \n", + "13.215506 | \n", + "13.447136 | \n", + "13.648661 | \n", + "14.005228 | \n", + "13.742381 | \n", + "13.648780 | \n", + "13.563657 | \n", + "13.319263 | \n", + "13.017622 | \n", + "12.335051 | \n", + "
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0.85 | \n", + "4.064102 | \n", + "4.378245 | \n", + "4.661302 | \n", + "4.925303 | \n", + "5.242016 | \n", + "5.776492 | \n", + "6.309894 | \n", + "7.107087 | \n", + "8.028274 | \n", + "8.994846 | \n", + "... | \n", + "10.675323 | \n", + "10.906781 | \n", + "11.241173 | \n", + "11.389700 | \n", + "11.509236 | \n", + "11.381167 | \n", + "11.436827 | \n", + "11.106026 | \n", + "10.703170 | \n", + "10.502837 | \n", + "
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0.95 | \n", + "3.632387 | \n", + "3.782329 | \n", + "4.031823 | \n", + "4.279940 | \n", + "4.527074 | \n", + "4.927794 | \n", + "5.462782 | \n", + "6.246869 | \n", + "7.079343 | \n", + "8.030673 | \n", + "... | \n", + "9.329918 | \n", + "9.711451 | \n", + "9.895599 | \n", + "10.058895 | \n", + "10.246726 | \n", + "10.133860 | \n", + "10.036576 | \n", + "9.837566 | \n", + "9.650927 | \n", + "9.452730 | \n", + "
1.00 | \n", + "3.282452 | \n", + "3.534855 | \n", + "3.750863 | \n", + "4.065007 | \n", + "4.345835 | \n", + "4.778966 | \n", + "5.199292 | \n", + "6.015751 | \n", + "6.814228 | \n", + "7.548095 | \n", + "... | \n", + "8.848416 | \n", + "9.132023 | \n", + "9.346785 | \n", + "9.429548 | \n", + "9.515691 | \n", + "9.636172 | \n", + "9.520474 | \n", + "9.321503 | \n", + "9.219344 | \n", + "9.119793 | \n", + "
21 rows × 21 columns
\n", + "Average Recall@50 for each beta across all alphas:\n",
+ "
\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "alpha 0.00 0.05 0.10 0.15 0.20 0.25 \\\n",
+ "beta \n",
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+ "0.05 19.230735 19.946699 20.777192 21.680477 22.781184 24.082356 \n",
+ "0.10 19.116808 19.748292 20.582639 21.513969 22.816727 23.869141 \n",
+ "0.15 18.782378 19.600199 20.479512 21.363609 22.616486 24.000893 \n",
+ "0.20 18.401279 19.347888 20.229468 21.144141 22.515875 23.799065 \n",
+ "0.25 18.167250 18.951167 19.531710 20.561856 21.879817 23.545865 \n",
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+ "0.35 16.635523 17.669143 18.518052 19.565930 20.981593 22.167385 \n",
+ "0.40 15.789749 16.720266 17.817893 18.699854 19.968066 21.400937 \n",
+ "0.45 15.024114 15.973006 16.870301 18.065028 19.297054 20.367108 \n",
+ "0.50 14.143346 15.176115 16.006058 17.087632 18.186885 19.619415 \n",
+ "0.55 13.579290 14.262294 15.124818 16.026609 17.405196 18.759669 \n",
+ "0.60 13.030345 13.547863 14.347927 15.143875 16.411484 17.678188 \n",
+ "0.65 12.302088 12.869959 13.617101 14.349343 15.481570 16.869358 \n",
+ "0.70 11.820192 12.339938 12.886315 13.606827 14.720091 16.136567 \n",
+ "0.75 11.573700 11.857059 12.241593 13.008172 14.024244 15.399620 \n",
+ "0.80 10.875586 11.458868 11.844386 12.343753 13.423360 14.651626 \n",
+ "0.85 10.444777 10.859021 11.444833 12.061640 12.776883 13.790425 \n",
+ "0.90 9.949657 10.495903 10.895679 11.580439 12.347528 13.275136 \n",
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+ "1.00 8.987411 9.437238 9.986485 10.369264 11.135370 11.987751 \n",
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+ "0.05 25.514415 27.083953 29.813236 32.348651 ... 38.860616 42.443081 \n",
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+ "0.25 24.932407 26.955586 29.023114 31.975208 ... 37.482087 40.198266 \n",
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+ "0.40 22.612584 24.489503 26.971143 29.218245 ... 33.538050 35.270767 \n",
+ "0.45 21.786323 23.657385 25.657483 27.936640 ... 32.355918 33.807374 \n",
+ "0.50 20.904874 22.774442 24.656878 26.973805 ... 30.858869 32.193225 \n",
+ "0.55 19.861072 21.973225 23.822057 25.777964 ... 29.361085 30.728363 \n",
+ "0.60 19.198370 20.978097 22.594829 24.394973 ... 27.883905 29.098106 \n",
+ "0.65 18.266136 19.952446 21.528890 23.329507 ... 26.248549 27.401785 \n",
+ "0.70 17.234365 18.904962 20.336168 22.066185 ... 24.851904 25.950554 \n",
+ "0.75 16.436753 18.075319 19.339415 20.751357 ... 23.501493 24.348816 \n",
+ "0.80 15.621749 17.040074 18.423799 19.626798 ... 22.304708 23.103303 \n",
+ "0.85 14.970737 16.108273 17.594118 19.011708 ... 21.189324 21.709566 \n",
+ "0.90 14.342070 15.661146 16.699183 18.115791 ... 20.028671 20.482638 \n",
+ "0.95 13.813597 14.830181 16.031422 17.230868 ... 18.963925 19.170720 \n",
+ "1.00 13.265085 14.279780 15.399374 16.467802 ... 17.835265 17.904790 \n",
+ "\n",
+ "alpha 0.65 0.70 0.75 0.80 0.85 0.90 \\\n",
+ "beta \n",
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+ "0.05 45.877661 48.943643 51.320318 52.006178 50.774647 48.263622 \n",
+ "0.10 46.226327 48.792338 50.555904 50.991102 49.631100 47.098844 \n",
+ "0.15 45.559391 48.077465 49.029541 49.065354 47.356740 45.159178 \n",
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+ "0.30 40.552371 41.783307 42.150644 41.328733 39.965675 38.520851 \n",
+ "0.35 38.833363 39.636925 39.724679 38.864748 37.750409 36.156363 \n",
+ "0.40 36.756520 37.154905 36.927324 36.552617 35.339121 33.943652 \n",
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+ "0.55 31.167088 30.902470 30.696133 29.861850 29.183984 28.439882 \n",
+ "0.60 29.249961 29.141327 28.745955 28.302891 27.306857 26.758384 \n",
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+ "0.85 21.748004 21.219687 21.045421 20.974465 20.625815 20.050108 \n",
+ "0.90 20.302159 20.107591 20.010477 20.008930 19.394431 18.963567 \n",
+ "0.95 19.040423 18.913808 18.711494 18.808121 18.294365 18.147464 \n",
+ "1.00 17.660171 17.913464 17.810950 17.710115 17.609527 17.396730 \n",
+ "\n",
+ "alpha 0.95 1.00 \n",
+ "beta \n",
+ "0.00 43.740746 38.788700 \n",
+ "0.05 44.058651 39.250124 \n",
+ "0.10 43.493627 39.266062 \n",
+ "0.15 42.282179 38.488109 \n",
+ "0.20 40.269724 37.208183 \n",
+ "0.25 38.488333 35.781749 \n",
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+ "0.50 29.085402 27.725700 \n",
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+ "0.60 25.693941 24.745008 \n",
+ "0.65 24.012913 23.430955 \n",
+ "0.70 22.733234 22.116637 \n",
+ "0.75 21.651622 21.185400 \n",
+ "0.80 20.586064 20.219773 \n",
+ "0.85 19.565890 19.169890 \n",
+ "0.90 18.718228 18.385422 \n",
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+ "1.00 16.869201 16.553943 \n",
+ "\n",
+ "[21 rows x 21 columns]"
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0.50 | \n", + "14.143346 | \n", + "15.176115 | \n", + "16.006058 | \n", + "17.087632 | \n", + "18.186885 | \n", + "19.619415 | \n", + "20.904874 | \n", + "22.774442 | \n", + "24.656878 | \n", + "26.973805 | \n", + "... | \n", + "30.858869 | \n", + "32.193225 | \n", + "32.909987 | \n", + "32.943550 | \n", + "32.835373 | \n", + "32.030305 | \n", + "31.232416 | \n", + "30.167918 | \n", + "29.085402 | \n", + "27.725700 | \n", + "
0.55 | \n", + "13.579290 | \n", + "14.262294 | \n", + "15.124818 | \n", + "16.026609 | \n", + "17.405196 | \n", + "18.759669 | \n", + "19.861072 | \n", + "21.973225 | \n", + "23.822057 | \n", + "25.777964 | \n", + "... | \n", + "29.361085 | \n", + "30.728363 | \n", + "31.167088 | \n", + "30.902470 | \n", + "30.696133 | \n", + "29.861850 | \n", + "29.183984 | \n", + "28.439882 | \n", + "27.256661 | \n", + "26.178901 | \n", + "
0.60 | \n", + "13.030345 | \n", + "13.547863 | \n", + "14.347927 | \n", + "15.143875 | \n", + "16.411484 | \n", + "17.678188 | \n", + "19.198370 | \n", + "20.978097 | \n", + "22.594829 | \n", + "24.394973 | \n", + "... | \n", + "27.883905 | \n", + "29.098106 | \n", + "29.249961 | \n", + "29.141327 | \n", + "28.745955 | \n", + "28.302891 | \n", + "27.306857 | \n", + "26.758384 | \n", + "25.693941 | \n", + "24.745008 | \n", + "
0.65 | \n", + "12.302088 | \n", + "12.869959 | \n", + "13.617101 | \n", + "14.349343 | \n", + "15.481570 | \n", + "16.869358 | \n", + "18.266136 | \n", + "19.952446 | \n", + "21.528890 | \n", + "23.329507 | \n", + "... | \n", + "26.248549 | \n", + "27.401785 | \n", + "27.773291 | \n", + "27.626886 | \n", + "27.117585 | \n", + "26.427087 | \n", + "25.648739 | \n", + "25.030780 | \n", + "24.012913 | \n", + "23.430955 | \n", + "
0.70 | \n", + "11.820192 | \n", + "12.339938 | \n", + "12.886315 | \n", + "13.606827 | \n", + "14.720091 | \n", + "16.136567 | \n", + "17.234365 | \n", + "18.904962 | \n", + "20.336168 | \n", + "22.066185 | \n", + "... | \n", + "24.851904 | \n", + "25.950554 | \n", + "26.305271 | \n", + "25.996211 | \n", + "25.738108 | \n", + "24.844916 | \n", + "24.182175 | \n", + "23.544386 | \n", + "22.733234 | \n", + "22.116637 | \n", + "
0.75 | \n", + "11.573700 | \n", + "11.857059 | \n", + "12.241593 | \n", + "13.008172 | \n", + "14.024244 | \n", + "15.399620 | \n", + "16.436753 | \n", + "18.075319 | \n", + "19.339415 | \n", + "20.751357 | \n", + "... | \n", + "23.501493 | \n", + "24.348816 | \n", + "24.589723 | \n", + "24.319627 | \n", + "24.027527 | \n", + "23.430327 | \n", + "22.849837 | \n", + "22.197147 | \n", + "21.651622 | \n", + "21.185400 | \n", + "
0.80 | \n", + "10.875586 | \n", + "11.458868 | \n", + "11.844386 | \n", + "12.343753 | \n", + "13.423360 | \n", + "14.651626 | \n", + "15.621749 | \n", + "17.040074 | \n", + "18.423799 | \n", + "19.626798 | \n", + "... | \n", + "22.304708 | \n", + "23.103303 | \n", + "23.110222 | \n", + "22.854346 | \n", + "22.410850 | \n", + "22.112589 | \n", + "21.812967 | \n", + "21.232935 | \n", + "20.586064 | \n", + "20.219773 | \n", + "
0.85 | \n", + "10.444777 | \n", + "10.859021 | \n", + "11.444833 | \n", + "12.061640 | \n", + "12.776883 | \n", + "13.790425 | \n", + "14.970737 | \n", + "16.108273 | \n", + "17.594118 | \n", + "19.011708 | \n", + "... | \n", + "21.189324 | \n", + "21.709566 | \n", + "21.748004 | \n", + "21.219687 | \n", + "21.045421 | \n", + "20.974465 | \n", + "20.625815 | \n", + "20.050108 | \n", + "19.565890 | \n", + "19.169890 | \n", + "
0.90 | \n", + "9.949657 | \n", + "10.495903 | \n", + "10.895679 | \n", + "11.580439 | \n", + "12.347528 | \n", + "13.275136 | \n", + "14.342070 | \n", + "15.661146 | \n", + "16.699183 | \n", + "18.115791 | \n", + "... | \n", + "20.028671 | \n", + "20.482638 | \n", + "20.302159 | \n", + "20.107591 | \n", + "20.010477 | \n", + "20.008930 | \n", + "19.394431 | \n", + "18.963567 | \n", + "18.718228 | \n", + "18.385422 | \n", + "
0.95 | \n", + "9.535242 | \n", + "9.983955 | \n", + "10.449194 | \n", + "10.998743 | \n", + "11.634304 | \n", + "12.699691 | \n", + "13.813597 | \n", + "14.830181 | \n", + "16.031422 | \n", + "17.230868 | \n", + "... | \n", + "18.963925 | \n", + "19.170720 | \n", + "19.040423 | \n", + "18.913808 | \n", + "18.711494 | \n", + "18.808121 | \n", + "18.294365 | \n", + "18.147464 | \n", + "17.868771 | \n", + "17.420661 | \n", + "
1.00 | \n", + "8.987411 | \n", + "9.437238 | \n", + "9.986485 | \n", + "10.369264 | \n", + "11.135370 | \n", + "11.987751 | \n", + "13.265085 | \n", + "14.279780 | \n", + "15.399374 | \n", + "16.467802 | \n", + "... | \n", + "17.835265 | \n", + "17.904790 | \n", + "17.660171 | \n", + "17.913464 | \n", + "17.810950 | \n", + "17.710115 | \n", + "17.609527 | \n", + "17.396730 | \n", + "16.869201 | \n", + "16.553943 | \n", + "
21 rows × 21 columns
\n", + "