import os import sys import numpy as np import json import joblib import logging from os.path import join, dirname import pickle def make_delayed(stim, delays, circpad=False): """Creates non-interpolated concatenated delayed versions of [stim] with the given [delays] (in samples). If [circpad], instead of being padded with zeros, [stim] will be circularly shifted. """ nt,ndim = stim.shape dstims = [] for di,d in enumerate(delays): dstim = np.zeros((nt, ndim)) if d<0: ## negative delay dstim[:d,:] = stim[-d:,:] if circpad: dstim[d:,:] = stim[:-d,:] elif d>0: dstim[d:,:] = stim[:-d,:] if circpad: dstim[:d,:] = stim[-d:,:] else: ## d==0 dstim = stim.copy() dstims.append(dstim) return np.hstack(dstims) def lanczosfun(cutoff, t, window=3): """Compute the lanczos function with some cutoff frequency [B] at some time [t]. [t] can be a scalar or any shaped numpy array. If given a [window], only the lowest-order [window] lobes of the sinc function will be non-zero. """ t = t * cutoff val = window * np.sin(np.pi*t) * np.sin(np.pi*t/window) / (np.pi**2 * t**2) val[t==0] = 1.0 val[np.abs(t)>window] = 0.0 return val# / (val.sum() + 1e-10) def lanczosinterp2D(data, oldtime, newtime, window=3, cutoff_mult=1.0, rectify=False): """Interpolates the columns of [data], assuming that the i'th row of data corresponds to oldtime(i). A new matrix with the same number of columns and a number of rows given by the length of [newtime] is returned. The time points in [newtime] are assumed to be evenly spaced, and their frequency will be used to calculate the low-pass cutoff of the interpolation filter. [window] lobes of the sinc function will be used. [window] should be an integer. """ ## Find the cutoff frequency ## cutoff = 1/np.mean(np.diff(newtime)) * cutoff_mult # print "Doing lanczos interpolation with cutoff=%0.3f and %d lobes." % (cutoff, window) ## Build up sinc matrix ## sincmat = np.zeros((len(newtime), len(oldtime))) for ndi in range(len(newtime)): sincmat[ndi,:] = lanczosfun(cutoff, newtime[ndi]-oldtime, window) if rectify: newdata = np.hstack([np.dot(sincmat, np.clip(data, -np.inf, 0)), np.dot(sincmat, np.clip(data, 0, np.inf))]) else: ## Construct new signal by multiplying the sinc matrix by the data ## newdata = np.dot(sincmat, data) return newdata def downsample_word_vectors(stories, word_vectors, wordseqs): """Get Lanczos downsampled word_vectors for specified stories. Args: stories: List of stories to obtain vectors for. word_vectors: Dictionary of {story: [num_story_words, vector_size]} wordseqs: Dictionary of {story: } Returns: Dictionary of {story: downsampled vectors} """ downsampled_semanticseqs = dict() for story in stories: downsampled_semanticseqs[story] = lanczosinterp2D( word_vectors[story], wordseqs[story].data_times, wordseqs[story].tr_times, window=3) return downsampled_semanticseqs if __name__ == "__main__": raw_stories = pickle.load(open('raw_stories.pkl', 'rb'))