# Gaussian mixture model

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## 노트

### 말뭉치

1. The BayesianGaussianMixture object implements a variant of the Gaussian mixture model with variational inference algorithms.[1]
2. A Gaussian Mixture Model (GMM) is a parametric probability density function represented as a weighted sum of Gaussian component densities.[2]
3. GMM parameters are estimated from training data using the iterative Expectation-Maximization (EM) algorithm or Maximum A Posteriori (MAP) estimation from a well-trained prior model.[2]
4. Now we attempt the same strategy for deriving the MLE of the Gaussian mixture model.[3]
5. So how does GMM use the concept of EM and how can we apply it for a given set of points?[4]
6. Thus, we arrive at the terms Gaussian mixture models (GMMs) and mixtures of Gaussians.[5]
7. Unfortunately, the GMM approach fails when the background has very high frequency variations.[5]
8. (2000) moved away from the parametric approach of the GMM (the latter essentially finds the weights and variances of the component distributions, and thus is parametric).[5]
9. A Bayesian Gaussian mixture model is commonly extended to fit a vector of unknown parameters (denoted in bold), or multivariate normal distributions.[6]
10. A multivariate Gaussian mixture model is used to cluster the feature data into k number of groups where k represents each state of the machine.[6]
11. Probabilistic mixture models such as Gaussian mixture models (GMM) are used to resolve point set registration problems in image processing and computer vision fields.[6]
12. The EM algorithm for a univariate Gaussian mixture model with K K K components is described below.[7]
13. Each distribution is called a mode of the GMM and represents a cluster of data points.[8]
14. In computer vision applications, GMM are often used to model dictionaries of visual words.[8]
15. For this reason, it is sometimes desirable to globally decorrelated the data before learning a GMM mode.[8]
16. Alternatively, a user can specifiy manually the initial paramters of the GMM model by using the custom initalization method.[8]
17. We proposed GMM-based approaches to classify features and estimate the number of clusters in a data-driven way.[9]
18. We first built a GMM of the selected features which overestimated the number of clusters, resulting in a mixture model with more Gaussians than the real number of neurons.[9]
19. Using the peak positions as new Gaussian centers, we recalculated the GMM and defined the cluster regions based on the new Gaussian distributions.[9]
20. Of note, in our GMM-based framework, merging of clusters is currently done manually using the GUI we developed (Supplementary Fig.[9]
21. In the GMM field, the expectation-maximization (EM) algorithm is usually utilized to estimate the model parameters.[10]
22. To be specific, the DE is employed to initialize the GMM parameters.[10]
23. To get a preferable parameter set of the GMM, we embed the EM algorithm in the DE framework and propose a hybrid DE-EM algorithm.[10]
24. The EM algorithm is utilized to estimate the GMM parameter set.[10]

## 메타데이터

### Spacy 패턴 목록

• [{'LOWER': 'gaussian'}, {'LOWER': 'mixture'}, {'LEMMA': 'model'}]
• [{'LEMMA': 'GMM'}]
• [{'LOWER': 'mixtures'}, {'LOWER': 'of'}, {'LEMMA': 'Gaussians'}]
• [{'LOWER': 'gaussian'}, {'LOWER': 'mixture'}, {'LEMMA': 'model'}]
• [{'LEMMA': 'gmm'}]