# Questions tagged [gaussian-mixture]

A type of mixed distribution or model which assumes subpopulations follow Gaussian distributions.

432 questions
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### Biased viterbi training result

I try to use GMM-HMM model to infer the topic of sentences in a short paragraph. While instead of using normal Baum-Welch optimization, I use viterbi training as follows. I use average of word ...
1answer
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### Can we use a mixture of normal distributions while optimising likelihood?

Let's assume that we generate some values by a mixture of two Gaussians. Now we want to find the parameters of the two Gaussians by likelihood maximisation. One good expect that the optimisation will ...
0answers
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### Gaussian mixture model (GMM) to cluster high dimensional dataset

My data set has ~20.000 dimensions. I want to use "Gaussian mixture model " to cluster them. To Construct mixtures, multivariate distributions are required. the multinomial distribution is the ...
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### Compute quantile function from a mixture of Normal distribution

I have this mixture of normal distribution: $$X \sim \frac{1}{2}\mathcal{N}(\mu_{x_1}=10,\,\sigma_{x_1}^{2}=1)+\frac{1}{2}\mathcal{N}(\mu_{x_2}=13,\,\sigma_{x_2}^{2}=1)$$ How can i compute the ...
1answer
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### Quantiles from the combination of normal distributions

I have information on the distributions of anthropometric dimensions (like shoulder span) for children of different ages. For each age and dimension, I have mean, standard deviation. (I also have ...
0answers
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### What is the different between the set of all model parameters and the parameter vector of the nth component

I read many articles about mixture models. I read that the author called the model parameters as "a set of all model parameters", while they said "parameter vector for the n-th component". I wonder ...
0answers
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### Stopping criteria for gaussian mixture models

As I can read from the source code of scikit-learn, the stopping criteria for the iterative algorithm of Expectation Maximization (in my case applied to fitting Gaussian mixture models) is to put a ...
0answers
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1answer
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### JAGS mixture models with exogenous regressors

This is my first post,I hope this is the right forum for such a question and I formulate it correctly. I am working with a time series data set where the response y seems to follow a mixture of two ...
1answer
489 views

### General conditional distributions for multivariate Gaussian mixtures

My question is similar to this one but considers a more general situation. Suppose that $\vec{x} = (x_1, \dots, x_d)$ and let  p(\vec{x}) = \sum_{k=1}^{n} \pi_k \mathcal{N}(\vec{x} | \mu_k, \...