Utils.py

import errno
import itertools
import os
import os.path as osp
import random
import shutil
from collections import defaultdict
from urllib import request

import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
# from tabulate import tabulate
#
# from .graph_utils import coo2csr_index

def alias_setup(probs):
    """
    Compute utility lists for non-uniform sampling from discrete distributions.
    Refer to https://hips.seas.harvard.edu/blog/2013/03/03/the-alias-method-efficient-sampling-with-many-discrete-outcomes/
    for details
    """
    K = len(probs)
    q = np.zeros(K)
    J = np.zeros(K, dtype=np.int)

    smaller = []
    larger = []
    for kk, prob in enumerate(probs):
        q[kk] = K * prob
        if q[kk] < 1.0:
            smaller.append(kk)
        else:
            larger.append(kk)

    while len(smaller) > 0 and len(larger) > 0:
        small = smaller.pop()
        large = larger.pop()

        J[small] = large
        q[large] = q[large] + q[small] - 1.0
        if q[large] < 1.0:
            smaller.append(large)
        else:
            larger.append(large)

    return J, q

def alias_draw(J, q):
    """
    Draw sample from a non-uniform discrete distribution using alias sampling.
    """
    K = len(J)

    kk = int(np.floor(np.random.rand() * K))
    if np.random.rand() < q[kk]:
        return kk
    else:
        return J[kk]