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from time import time
import logging
import numpy as np
from sklearn.datasets import fetch_20newsgroups
from sklearn.feature_extraction.text import CountVectorizer
from sklearn.decomposition import LatentDirichletAllocation
from gensim.matutils import Sparse2Corpus
#from gensim.models.ldamodel import LdaModel
from gensim.models.ldamulticore import LdaMulticore
'''
Gibbs sampler for function:
f(x,y) = x x^2 \exp(-xy^2 - y^2 + 2y - 4x)
using conditional distributions:
x|y \sim Gamma(3, y^2 +4)
y|x \sim Normal(\frac{1}{1+x}, \frac{1}{2(1+x)})
'''