Created
August 30, 2019 08:20
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import faiss\n", | |
"import numpy as np" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# training data\n", | |
"xt = np.random.rand(1000, 20).astype('float32')\n", | |
"# test data\n", | |
"x = np.random.rand(10, 20).astype('float32')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# make the PCA matrix\n", | |
"pca = faiss.PCAMatrix(20, 10)\n", | |
"pca.train(xt)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# apply it to test data\n", | |
"yref = pca.apply_py(x)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# extract matrix + bias from the PCA object\n", | |
"# works for any linear transform (OPQ, random rotation, etc.)\n", | |
"b = faiss.vector_to_array(pca.b)\n", | |
"A = faiss.vector_to_array(pca.A).reshape(pca.d_out, pca.d_in)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# apply transformation\n", | |
"ynew = x @ A.T + b" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"True" | |
] | |
}, | |
"execution_count": 14, | |
"metadata": { | |
"bento_obj_id": "140586613660256" | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# are the vectors the same?\n", | |
"np.allclose(yref, ynew)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"bento_stylesheets": { | |
"bento/extensions/flow/main.css": true, | |
"bento/extensions/kernel_selector/main.css": true, | |
"bento/extensions/kernel_ui/main.css": true, | |
"bento/extensions/new_kernel/main.css": true, | |
"bento/extensions/system_usage/main.css": true, | |
"bento/extensions/theme/main.css": true | |
}, | |
"disseminate_notebook_id": { | |
"notebook_id": "368435637443095" | |
}, | |
"disseminate_notebook_info": { | |
"bento_version": "20190826-030256", | |
"description": "", | |
"hide_code": false, | |
"hipster_group": "", | |
"kernel_build_info": { | |
"error": "The file located at '/data/users/matthijs/fbsource/fbcode/bento/kernels/TARGETS' could not be found." | |
}, | |
"no_uii": true, | |
"notebook_number": "138918", | |
"others_can_edit": false, | |
"reviewers": "", | |
"revision_id": "544712462932444", | |
"tags": "", | |
"tasks": "", | |
"title": "get_matrix_from_PCA" | |
}, | |
"kernelspec": { | |
"display_name": "pytorch", | |
"language": "python", | |
"name": "bento_kernel_pytorch" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.3rc1+" | |
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