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gmm's Introduction

Gaussian Mixture Models in Python

Author: Jeremy Stober
Contact: [email protected]
Version: 0.01

This is a standalone Pythonic implementation of Gaussian Mixture
Models. Various initialization strategies are included along with a
standard EM algorithm for determining the model parameters based on
data.

Example code for the GMM and Normal classes can be found in the
src/test_*.py files. The GMM and the underlying Normal class both
support conditioning on data and marginalization for any subset of the
variables. This makes this implementation ideal for experimenting with
Gaussian Mixture Regression. For example, the following code learns
the cosine function:


import numpy as np
from gmm import GMM
from plot_gmm import draw2dgmm
from test_func import noisy_cosine
import pylab as pl

x,y = noisy_cosine()
data = np.vstack([x,y]).transpose()
pl.scatter(data[:,0],data[:,1])

gmm = GMM(dim = 2, ncomps = 2, data = data, method = "kmeans")
draw2dgmm(gmm)

nx = np.arange(0,2 * np.pi, 0.1)
ny = []
for i in nx:
    ngmm = gmm.condition([0],[i])
    ny.append(ngmm.mean()) 

pl.plot(nx,ny,color='red')
pl.show()


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gmm's Issues

EM algo doesn't work

Hi! I'm planing to use your lib for for nan filling. Your em algo gives inconsistent results though. If I generate np.random.multivariate_normal([0,0,0],[[1,0.8,0],[0.8,1,0],[0,0.8,1]],4000)

and choose 1 component, I get
[[ 1.05881648 0.71821905 -0.19137837]
[ 0.71821905 1.18875572 0.40823723]
[-0.19137837 0.40823723 0.92021874]]
as sigma estimation. Even manually setting the true cov matrix doesn't help, so it is not a local optima problem. I think I'll try to fix it

But I see no obvious mistakes in EM or density estimation

divide 'zero' problem

hey man, I find a problem in em process, you use 'response / np.sum(response, axis=0)'. the value of np.sum(response, axis=0) may be zero, so that the final result is nan.

Unable to install gmm

When trying to install gmm, , the following error appears:

Error: package or namespace load failed for ‘gmm’ in dyn.load(file, DLLpath = DLLpath, ...):
unable to load shared object '/Library/Frameworks/R.framework/Versions/4.0/Resources/library/gmm/libs/gmm.so':
dlopen(/Library/Frameworks/R.framework/Versions/4.0/Resources/library/gmm/libs/gmm.so, 6): Library not loaded:      
/usr/local/gfortran/lib/libgomp.1.dylib
Referenced from: /Library/Frameworks/R.framework/Versions/4.0/Resources/library/gmm/libs/gmm.so
Reason: image not found

We tried other ways to install the package, without success:

  • We tried to uninstall and reinstall R and RStudio
  • We tried older versions of R (3.3.3 and 3.3.6)
  • We tried to copy the files directly on the R library (/Library/Frameworks/R.framework/Resource/library),
  • We tried to install the package as a binary (install.packages("gmm", type = "binary"))

Could you please give us a hand solving this problem ?

Thanks in advance.

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