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7.0000000e+00 + 7.0000000e+00 + 0.0000000e+00 + 6.0000000e+00 + 1.0000000e+00 + 6.0000000e+00 + 1.0000000e+00 + 6.0000000e+00 + 2.0000000e+00 diff --git a/tsne_torch.py b/tsne_torch.py index b05383c..7102427 100644 --- a/tsne_torch.py +++ b/tsne_torch.py @@ -12,70 +12,52 @@ # Created by Xiao Li on 23-03-2020. # Copyright (c) 2020. All rights reserved. import numpy as np -import matplotlib.pyplot as pyplot +import matplotlib.pyplot as plt import argparse import torch -parser = argparse.ArgumentParser() -parser.add_argument("--xfile", type=str, default="mnist2500_X.txt", help="file name of feature stored") -parser.add_argument("--yfile", type=str, default="mnist2500_labels.txt", help="file name of label stored") -parser.add_argument("--cuda", type=int, default=1, help="if use cuda accelarate") - -opt = parser.parse_args() -print("get choice from args", opt) -xfile = opt.xfile -yfile = opt.yfile - -if opt.cuda: - print("set use cuda") - torch.set_default_tensor_type(torch.cuda.DoubleTensor) -else: - torch.set_default_tensor_type(torch.DoubleTensor) def Hbeta_torch(D, beta=1.0): - P = torch.exp(-D.clone() * beta) - - sumP = torch.sum(P) - - H = torch.log(sumP) + beta * torch.sum(D * P) / sumP - P = P / sumP - + P = (-D).exp() * beta + SP = P.sum() + H = SP.log() + beta * (D * P).sum() / SP + P /= SP return H, P -def x2p_torch(X, tol=1e-5, perplexity=30.0): +def x2p_torch(X:torch.FloatTensor, tol=1e-5, perplexity=30.0, verbose=False): """ Performs a binary search to get P-values in such a way that each conditional Gaussian has the same perplexity. """ # Initialize some variables - print("Computing pairwise distances...") - (n, d) = X.shape + if verbose: + print("Computing pairwise distances") + M = X.size(0) - sum_X = torch.sum(X*X, 1) - D = torch.add(torch.add(-2 * torch.mm(X, X.t()), sum_X).t(), sum_X) + SSX = (X**2).sum(1) + D = ((X @ X.T) * -2 + SSX).T + SSX - P = torch.zeros(n, n) - beta = torch.ones(n, 1) - logU = torch.log(torch.tensor([perplexity])) - n_list = [i for i in range(n)] + P = X.new_zeros(M, M) + beta = X.new_ones(M, 1) + logU = torch.tensor([perplexity]).type_as(X).log() + indices = torch.arange(M) # Loop over all datapoints - for i in range(n): + for i in range(M): # Print progress - if i % 500 == 0: - print("Computing P-values for point %d of %d..." % (i, n)) + if i % 500 == 0 and verbose: + print(f"Computing P-values for point {i} of {M}") # Compute the Gaussian kernel and entropy for the current precision # there may be something wrong with this setting None betamin = None betamax = None - Di = D[i, n_list[0:i]+n_list[i+1:n]] - - (H, thisP) = Hbeta_torch(Di, beta[i]) + Di = D[i, torch.cat([indices[:i], indices[i+1:M]])] + H, thisP = Hbeta_torch(Di, beta[i]) # Evaluate whether the perplexity is within tolerance Hdiff = H - logU @@ -86,156 +68,143 @@ def x2p_torch(X, tol=1e-5, perplexity=30.0): if Hdiff > 0: betamin = beta[i].clone() if betamax is None: - beta[i] = beta[i] * 2. + beta[i] *= 2. else: beta[i] = (beta[i] + betamax) / 2. else: betamax = beta[i].clone() if betamin is None: - beta[i] = beta[i] / 2. + beta[i] /= 2. else: beta[i] = (beta[i] + betamin) / 2. # Recompute the values - (H, thisP) = Hbeta_torch(Di, beta[i]) + H, thisP = Hbeta_torch(Di, beta[i]) Hdiff = H - logU tries += 1 # Set the final row of P - P[i, n_list[0:i]+n_list[i+1:n]] = thisP + P[i, torch.cat([indices[:i], indices[i+1:M]])] = thisP # Return final P-matrix return P -def pca_torch(X, no_dims=50): - print("Preprocessing the data using PCA...") - (n, d) = X.shape - X = X - torch.mean(X, 0) - - (l, M) = torch.eig(torch.mm(X.t(), X), True) - # split M real - # this part may be some difference for complex eigenvalue - # but complex eignevalue is meanless here, so they are replaced by their real part - i = 0 - while i < d: - if l[i, 1] != 0: - M[:, i+1] = M[:, i] - i += 2 - else: - i += 1 - - Y = torch.mm(X, M[:, 0:no_dims]) - return Y - - -def tsne(X, no_dims=2, initial_dims=50, perplexity=30.0): +def pca_torch(X, k=50, device="cuda"): + assert X.ndim == 2, "X should be a 2D array" + *_, V = torch.pca_lowrank(X) + return X @ V[:, :k] + + +@torch.no_grad() +def tsne( + X:torch.FloatTensor, + k:int=2, + initial_dims:int=50, + perplexity:float=30.0, + max_iter:int=1000, + initial_momentum:float=0.5, + final_momentum:float=0.8, + eta:float=500, + min_gain:float=0.01, + eps:float=1e-12, + device="cuda", + verbose=False +) -> torch.FloatTensor: """ Runs t-SNE on the dataset in the NxD array X to reduce its - dimensionality to no_dims dimensions. The syntaxis of the function is - `Y = tsne.tsne(X, no_dims, perplexity), where X is an NxD NumPy array. + dimensionality to k dimensions. Usage: + `Y = tsne.tsne(X, k, perplexity)` """ # Check inputs - if isinstance(no_dims, float): - print("Error: array X should not have type float.") - return -1 - if round(no_dims) != no_dims: - print("Error: number of dimensions should be an integer.") - return -1 + if not isinstance(k, int): + raise TypeError("k is expected to be an integer") + if not isinstance(initial_dims, int): + raise TypeError("initial_dims is expected to be an integer") # Initialize variables - X = pca_torch(X, initial_dims) - (n, d) = X.shape - max_iter = 1000 - initial_momentum = 0.5 - final_momentum = 0.8 - eta = 500 - min_gain = 0.01 - Y = torch.randn(n, no_dims) - dY = torch.zeros(n, no_dims) - iY = torch.zeros(n, no_dims) - gains = torch.ones(n, no_dims) + if X.size(1) > initial_dims: + if verbose: + print("Preprocessing the data using PCA") + X = pca_torch(X, initial_dims) + + M = X.size(0) + X = X.to(device) + Y = torch.randn(M, k).to(device) + dY = torch.zeros_like(Y) + iY = torch.zeros_like(Y) + gains = torch.ones_like(Y) + eps = torch.tensor([eps]).type_as(X) # Compute P-values - P = x2p_torch(X, 1e-5, perplexity) - P = P + P.t() - P = P / torch.sum(P) - P = P * 4. # early exaggeration - print("get P shape", P.shape) - P = torch.max(P, torch.tensor([1e-21])) + P = x2p_torch(X, 1e-5, perplexity, verbose) + P += P.T.clone() + P /= P.sum() + P *= 4 # early exaggeration + P = torch.max(P, eps) # Run iterations - for iter in range(max_iter): + for iter in range(1, max_iter + 1): # Compute pairwise affinities - sum_Y = torch.sum(Y*Y, 1) - num = -2. * torch.mm(Y, Y.t()) - num = 1. / (1. + torch.add(torch.add(num, sum_Y).t(), sum_Y)) - num[range(n), range(n)] = 0. - Q = num / torch.sum(num) - Q = torch.max(Q, torch.tensor([1e-12])) + SSY = (Y ** 2).sum(1) + num = -2. * (Y @ Y.T) + num = (1 + (num + SSY).T + SSY) ** -1 + num[torch.arange(M), torch.arange(M)] = 0. + Q = num / num.sum() + Q = torch.max(Q, eps) # Compute gradient PQ = P - Q - for i in range(n): - dY[i, :] = torch.sum((PQ[:, i] * num[:, i]).repeat(no_dims, 1).t() * (Y[i, :] - Y), 0) + for i in range(M): + dY[i, :] = ((PQ[:, i] * num[:, i]).repeat(k, 1).T * (Y[i, :] - Y)).sum(0) # Perform the update - if iter < 20: + if iter <= 20: momentum = initial_momentum else: momentum = final_momentum - gains = (gains + 0.2) * ((dY > 0.) != (iY > 0.)).double() + (gains * 0.8) * ((dY > 0.) == (iY > 0.)).double() + mask = (dY > 0) == (iY > 0) + gains = (gains * 0.2) * (~mask).float() + (gains * 0.8) * mask.float() gains[gains < min_gain] = min_gain - iY = momentum * iY - eta * (gains * dY) - Y = Y + iY - Y = Y - torch.mean(Y, 0) + iY = momentum * iY - eta * gains * dY + Y += iY + Y -= Y.mean(0) # Compute current value of cost function - if (iter + 1) % 10 == 0: - C = torch.sum(P * torch.log(P / Q)) - print("Iteration %d: error is %f" % (iter + 1, C)) + if iter % 10 == 0: + C = (P * (P / Q).log()).sum() + if verbose: + print(f"Iteration {iter}: error is {C}") # Stop lying about P-values if iter == 100: - P = P / 4. + P /= 4 # Return solution - return Y + return Y.cpu() if __name__ == "__main__": - print("Run Y = tsne.tsne(X, no_dims, perplexity) to perform t-SNE on your dataset.") - - X = np.loadtxt(xfile) - X = torch.Tensor(X) - labels = np.loadtxt(yfile).tolist() + parser = argparse.ArgumentParser() + parser.add_argument("--features", type=str, default="test_data/iris_features.npy", help="features file") + parser.add_argument("--labels", type=str, default="test_data/iris_labels.npy", help="label file") + parser.add_argument("--ppl", type=float, default=20., help="Perplexity") + parser.add_argument("--cuda", action="store_true", default=False, help="use cuda") + parser.add_argument("--output_file", type=str, default=None, help="output plot file") + args = parser.parse_args() + + device = torch.device("cuda" if args.cuda and torch.cuda.is_available else "cpu") + X = torch.from_numpy(np.loadtxt(args.features)) + labels = np.loadtxt(args.labels) # confirm that x file get same number point than label file - # otherwise may cause error in scatter - assert(len(X[:, 0])==len(X[:,1])) - assert(len(X)==len(labels)) - - with torch.no_grad(): - Y = tsne(X, 2, 50, 20.0) - - if opt.cuda: - Y = Y.cpu().numpy() - - # You may write result in two files - # print("Save Y values in file") - # Y1 = open("y1.txt", 'w') - # Y2 = open('y2.txt', 'w') - # for i in range(Y.shape[0]): - # Y1.write(str(Y[i,0])+"\n") - # Y2.write(str(Y[i,1])+"\n") - - pyplot.scatter(Y[:, 0], Y[:, 1], 20, labels) - pyplot.show() - - # X1 = torch.randn([10, 2048]).cuda() - # # no_dims=2, initial_dims=50, perplexity=30.0 - # X_emb = tsne(X1, no_dims=2, perplexity=100., initial_dims=50) + assert len(X) == len(labels) + + Y = tsne(X, 2, 50, args.ppl, device=device).numpy() + + plt.scatter(Y[:, 0], Y[:, 1], 20, labels) + (args.output_file and plt.savefig(args.output_file)) or plt.show()