import math import pickle import numpy as np import torch import torch.nn as nn import random from collections import namedtuple def calc_recalls(S): """ Computes recall at 1, 5, and 10 given a similarity matrix S. By convention, rows of S are assumed to correspond to images and columns are captions. """ assert(S.dim() == 2) assert(S.size(0) == S.size(1)) if isinstance(S, torch.autograd.Variable): S = S.data n = S.size(0) A2I_scores, A2I_ind = S.topk(10, 0) I2A_scores, I2A_ind = S.topk(10, 1) A_r1 = AverageMeter() A_r5 = AverageMeter() A_r10 = AverageMeter() I_r1 = AverageMeter() I_r5 = AverageMeter() I_r10 = AverageMeter() for i in range(n): A_foundind = -1 I_foundind = -1 for ind in range(10): if A2I_ind[ind, i] == i: I_foundind = ind if I2A_ind[i, ind] == i: A_foundind = ind # do r1s if A_foundind == 0: A_r1.update(1) else: A_r1.update(0) if I_foundind == 0: I_r1.update(1) else: I_r1.update(0) # do r5s if A_foundind >= 0 and A_foundind < 5: A_r5.update(1) else: A_r5.update(0) if I_foundind >= 0 and I_foundind < 5: I_r5.update(1) else: I_r5.update(0) # do r10s if A_foundind >= 0 and A_foundind < 10: A_r10.update(1) else: A_r10.update(0) if I_foundind >= 0 and I_foundind < 10: I_r10.update(1) else: I_r10.update(0) recalls = {'A_r1':A_r1.avg, 'A_r5':A_r5.avg, 'A_r10':A_r10.avg, 'I_r1':I_r1.avg, 'I_r5':I_r5.avg, 'I_r10':I_r10.avg} #'A_meanR':A_meanR.avg, 'I_meanR':I_meanR.avg} return recalls def computeMatchmap(I, A): assert(I.dim() == 3) assert(A.dim() == 2) D = I.size(0) H = I.size(1) W = I.size(2) T = A.size(1) Ir = I.view(D, -1).t() matchmap = torch.mm(Ir, A) matchmap = matchmap.view(H, W, T) return matchmap def matchmapSim(M, simtype): assert(M.dim() == 3) if simtype == 'SISA': return M.mean() elif simtype == 'MISA': M_maxH, _ = M.max(0) M_maxHW, _ = M_maxH.max(0) return M_maxHW.mean() elif simtype == 'SIMA': M_maxT, _ = M.max(2) return M_maxT.mean() else: raise ValueError def sampled_margin_rank_loss(image_outputs, audio_outputs, nframes, margin=1., simtype='MISA'): """ Computes the triplet margin ranking loss for each anchor image/caption pair The impostor image/caption is randomly sampled from the minibatch """ assert(image_outputs.dim() == 4) assert(audio_outputs.dim() == 3) n = image_outputs.size(0) loss = torch.zeros(1, device=image_outputs.device, requires_grad=True) for i in range(n): I_imp_ind = i A_imp_ind = i while I_imp_ind == i: I_imp_ind = np.random.randint(0, n) while A_imp_ind == i: A_imp_ind = np.random.randint(0, n) nF = nframes[i] nFimp = nframes[A_imp_ind] anchorsim = matchmapSim(computeMatchmap(image_outputs[i], audio_outputs[i][:, 0:nF]), simtype) Iimpsim = matchmapSim(computeMatchmap(image_outputs[I_imp_ind], audio_outputs[i][:, 0:nF]), simtype) Aimpsim = matchmapSim(computeMatchmap(image_outputs[i], audio_outputs[A_imp_ind][:, 0:nFimp]), simtype) A2I_simdif = margin + Iimpsim - anchorsim if (A2I_simdif.data > 0).all(): loss = loss + A2I_simdif I2A_simdif = margin + Aimpsim - anchorsim if (I2A_simdif.data > 0).all(): loss = loss + I2A_simdif loss = loss / n return loss def compute_matchmap_similarity_matrix(image_outputs, audio_outputs, nframes, simtype='MISA'): """ Assumes image_outputs is a (batchsize, embedding_dim, rows, height) tensor Assumes audio_outputs is a (batchsize, embedding_dim, 1, time) tensor Returns similarity matrix S where images are rows and audios are along the columns """ assert(image_outputs.dim() == 4) assert(audio_outputs.dim() == 3) n = image_outputs.size(0) S = torch.zeros(n, n, device=image_outputs.device) for image_idx in range(n): for audio_idx in range(n): nF = max(1, nframes[audio_idx]) S[image_idx, audio_idx] = matchmapSim(computeMatchmap(image_outputs[image_idx], audio_outputs[audio_idx][:, 0:nF]), simtype) return S def compute_pooldot_similarity_matrix(image_outputs, audio_outputs, nframes): """ Assumes image_outputs is a (batchsize, embedding_dim, rows, height) tensor Assumes audio_outputs is a (batchsize, embedding_dim, 1, time) tensor Returns similarity matrix S where images are rows and audios are along the columns S[i][j] is computed as the dot product between the meanpooled embeddings of the ith image output and jth audio output """ assert(image_outputs.dim() == 4) assert(audio_outputs.dim() == 4) n = image_outputs.size(0) imagePoolfunc = nn.AdaptiveAvgPool2d((1, 1)) pooled_image_outputs = imagePoolfunc(image_outputs).squeeze(3).squeeze(2) audioPoolfunc = nn.AdaptiveAvgPool2d((1, 1)) pooled_audio_outputs_list = [] for idx in range(n): nF = max(1, nframes[idx]) pooled_audio_outputs_list.append(audioPoolfunc(audio_outputs[idx][:, :, 0:nF]).unsqueeze(0)) pooled_audio_outputs = torch.cat(pooled_audio_outputs_list).squeeze(3).squeeze(2) S = torch.mm(pooled_image_outputs, pooled_audio_outputs.t()) return S def one_imposter_index(i, N): imp_ind = random.randint(0, N - 2) if imp_ind == i: imp_ind = N - 1 return imp_ind def basic_get_imposter_indices(N): imposter_idc = [] for i in range(N): # Select an imposter index for example i: imp_ind = one_imposter_index(i, N) imposter_idc.append(imp_ind) return imposter_idc def semihardneg_triplet_loss_from_S(S, margin): """ Input: Similarity matrix S as an autograd.Variable Output: The one-way triplet loss from rows of S to columns of S. Impostors are taken to be the most similar point to the anchor that is still less similar to the anchor than the positive example. You would need to run this function twice, once with S and once with S.t(), in order to compute the triplet loss in both directions. """ assert(S.dim() == 2) assert(S.size(0) == S.size(1)) N = S.size(0) loss = torch.autograd.Variable(torch.zeros(1).type(S.data.type()), requires_grad=True) # Imposter - ground truth Sdiff = S - torch.diag(S).view(-1, 1) eps = 1e-12 # All examples less similar than ground truth mask = (Sdiff < -eps).type(torch.LongTensor) maskf = mask.type_as(S) # Mask out all examples >= gt with minimum similarity Sp = maskf * Sdiff + (1 - maskf) * torch.min(Sdiff).detach() # Find the index maximum similar of the remaining _, idc = Sp.max(dim=1) idc = idc.data.cpu() # Vector mask: 1 iff there exists an example < gt has_neg = (mask.sum(dim=1) > 0).data.type(torch.LongTensor) # Random imposter indices random_imp_ind = torch.LongTensor(basic_get_imposter_indices(N)) # Use hardneg if there exists an example < gt, otherwise use random imposter imp_idc = has_neg * idc + (1 - has_neg) * random_imp_ind # This could probably be vectorized too, but I haven't. for i, imp in enumerate(imp_idc): local_loss = Sdiff[i, imp] + margin if (local_loss.data > 0).all(): loss = loss + local_loss loss = loss / N return loss def sampled_triplet_loss_from_S(S, margin): """ Input: Similarity matrix S as an autograd.Variable Output: The one-way triplet loss from rows of S to columns of S. Imposters are randomly sampled from the columns of S. You would need to run this function twice, once with S and once with S.t(), in order to compute the triplet loss in both directions. """ assert(S.dim() == 2) assert(S.size(0) == S.size(1)) N = S.size(0) loss = torch.autograd.Variable(torch.zeros(1).type(S.data.type()), requires_grad=True) # Imposter - ground truth Sdiff = S - torch.diag(S).view(-1, 1) imp_ind = torch.LongTensor(basic_get_imposter_indices(N)) # This could probably be vectorized too, but I haven't. for i, imp in enumerate(imp_ind): local_loss = Sdiff[i, imp] + margin if (local_loss.data > 0).all(): loss = loss + local_loss loss = loss / N return loss class AverageMeter(object): """Computes and stores the average and current value""" def __init__(self): self.reset() def reset(self): self.val = 0 self.avg = 0 self.sum = 0 self.count = 0 def update(self, val, n=1): self.val = val self.sum += val * n self.count += n self.avg = self.sum / self.count def adjust_learning_rate(base_lr, lr_decay, optimizer, epoch): """Sets the learning rate to the initial LR decayed by 10 every lr_decay epochs""" lr = base_lr * (0.1 ** (epoch // lr_decay)) print('now learning rate changed to {:f}'.format(lr)) for param_group in optimizer.param_groups: param_group['lr'] = lr def adjust_learning_rate2(base_lr, lr_decay, optimizer, epoch): """Sets the learning rate to the initial LR decayed by 10 every lr_decay epochs""" for param_group in optimizer.param_groups: cur_lr = param_group['lr'] print('current learing rate is {:f}'.format(lr)) lr = cur_lr * 0.1 print('now learning rate changed to {:f}'.format(lr)) for param_group in optimizer.param_groups: param_group['lr'] = lr def load_progress(prog_pkl, quiet=False): """ load progress pkl file Args: prog_pkl(str): path to progress pkl file Return: progress(list): epoch(int): global_step(int): best_epoch(int): best_avg_r10(float): """ def _print(msg): if not quiet: print(msg) with open(prog_pkl, "rb") as f: prog = pickle.load(f) epoch, global_step, best_epoch, best_avg_r10, _ = prog[-1] _print("\nPrevious Progress:") msg = "[%5s %7s %5s %7s %6s]" % ("epoch", "step", "best_epoch", "best_avg_r10", "time") _print(msg) return prog, epoch, global_step, best_epoch, best_avg_r10 def count_parameters(model): return sum([p.numel() for p in model.parameters() if p.requires_grad]) PrenetConfig = namedtuple( 'PrenetConfig', ['input_size', 'hidden_size', 'num_layers', 'dropout']) RNNConfig = namedtuple( 'RNNConfig', ['input_size', 'hidden_size', 'num_layers', 'dropout', 'residual'])