# Copyright (c) 2021 PaddlePaddle Authors. All Rights Reserved. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. import datetime import os import numpy as np import sklearn from scipy import interpolate from sklearn.decomposition import PCA from sklearn.model_selection import KFold class LFold: def __init__(self, n_splits=2, shuffle=False): self.n_splits = n_splits if self.n_splits > 1: self.k_fold = KFold(n_splits=n_splits, shuffle=shuffle) def split(self, indices): if self.n_splits > 1: return self.k_fold.split(indices) else: return [(indices, indices)] def calculate_roc(thresholds, embeddings1, embeddings2, actual_issame, nrof_folds=10, pca=0): assert (embeddings1.shape[0] == embeddings2.shape[0]) assert (embeddings1.shape[1] == embeddings2.shape[1]) nrof_pairs = min(len(actual_issame), embeddings1.shape[0]) nrof_thresholds = len(thresholds) k_fold = LFold(n_splits=nrof_folds, shuffle=False) tprs = np.zeros((nrof_folds, nrof_thresholds)) fprs = np.zeros((nrof_folds, nrof_thresholds)) accuracy = np.zeros((nrof_folds)) indices = np.arange(nrof_pairs) if pca == 0: diff = np.subtract(embeddings1, embeddings2) dist = np.sum(np.square(diff), 1) for fold_idx, (train_set, test_set) in enumerate(k_fold.split(indices)): if pca > 0: print('doing pca on', fold_idx) embed1_train = embeddings1[train_set] embed2_train = embeddings2[train_set] _embed_train = np.concatenate((embed1_train, embed2_train), axis=0) pca_model = PCA(n_components=pca) pca_model.fit(_embed_train) embed1 = pca_model.transform(embeddings1) embed2 = pca_model.transform(embeddings2) embed1 = sklearn.preprocessing.normalize(embed1) embed2 = sklearn.preprocessing.normalize(embed2) diff = np.subtract(embed1, embed2) dist = np.sum(np.square(diff), 1) # Find the best threshold for the fold acc_train = np.zeros((nrof_thresholds)) for threshold_idx, threshold in enumerate(thresholds): _, _, acc_train[threshold_idx] = calculate_accuracy( threshold, dist[train_set], actual_issame[train_set]) best_threshold_index = np.argmax(acc_train) for threshold_idx, threshold in enumerate(thresholds): tprs[fold_idx, threshold_idx], fprs[ fold_idx, threshold_idx], _ = calculate_accuracy( threshold, dist[test_set], actual_issame[test_set]) _, _, accuracy[fold_idx] = calculate_accuracy( thresholds[best_threshold_index], dist[test_set], actual_issame[test_set]) tpr = np.mean(tprs, 0) fpr = np.mean(fprs, 0) return tpr, fpr, accuracy def calculate_accuracy(threshold, dist, actual_issame): predict_issame = np.less(dist, threshold) tp = np.sum(np.logical_and(predict_issame, actual_issame)) fp = np.sum(np.logical_and(predict_issame, np.logical_not(actual_issame))) tn = np.sum( np.logical_and( np.logical_not(predict_issame), np.logical_not(actual_issame))) fn = np.sum(np.logical_and(np.logical_not(predict_issame), actual_issame)) tpr = 0 if (tp + fn == 0) else float(tp) / float(tp + fn) fpr = 0 if (fp + tn == 0) else float(fp) / float(fp + tn) acc = float(tp + tn) / dist.size return tpr, fpr, acc def calculate_val(thresholds, embeddings1, embeddings2, actual_issame, far_target, nrof_folds=10): assert (embeddings1.shape[0] == embeddings2.shape[0]) assert (embeddings1.shape[1] == embeddings2.shape[1]) nrof_pairs = min(len(actual_issame), embeddings1.shape[0]) nrof_thresholds = len(thresholds) k_fold = LFold(n_splits=nrof_folds, shuffle=False) val = np.zeros(nrof_folds) far = np.zeros(nrof_folds) diff = np.subtract(embeddings1, embeddings2) dist = np.sum(np.square(diff), 1) indices = np.arange(nrof_pairs) for fold_idx, (train_set, test_set) in enumerate(k_fold.split(indices)): # Find the threshold that gives FAR = far_target far_train = np.zeros(nrof_thresholds) for threshold_idx, threshold in enumerate(thresholds): _, far_train[threshold_idx] = calculate_val_far( threshold, dist[train_set], actual_issame[train_set]) if np.max(far_train) >= far_target: f = interpolate.interp1d(far_train, thresholds, kind='slinear') threshold = f(far_target) else: threshold = 0.0 val[fold_idx], far[fold_idx] = calculate_val_far( threshold, dist[test_set], actual_issame[test_set]) val_mean = np.mean(val) far_mean = np.mean(far) val_std = np.std(val) return val_mean, val_std, far_mean def calculate_val_far(threshold, dist, actual_issame): predict_issame = np.less(dist, threshold) true_accept = np.sum(np.logical_and(predict_issame, actual_issame)) false_accept = np.sum( np.logical_and(predict_issame, np.logical_not(actual_issame))) n_same = np.sum(actual_issame) n_diff = np.sum(np.logical_not(actual_issame)) # print(true_accept, false_accept) # print(n_same, n_diff) val = float(true_accept) / float(n_same) far = float(false_accept) / float(n_diff) return val, far def evaluate(embeddings, actual_issame, nrof_folds=10, pca=0): # Calculate evaluation metrics thresholds = np.arange(0, 4, 0.01) embeddings1 = embeddings[0::2] embeddings2 = embeddings[1::2] tpr, fpr, accuracy = calculate_roc( thresholds, embeddings1, embeddings2, np.asarray(actual_issame), nrof_folds=nrof_folds, pca=pca) thresholds = np.arange(0, 4, 0.001) val, val_std, far = calculate_val( thresholds, embeddings1, embeddings2, np.asarray(actual_issame), 1e-3, nrof_folds=nrof_folds) return tpr, fpr, accuracy, val, val_std, far