Critical Lines in Symmetry of Mixture Models and Its Application to Component Splitting

Kenji Fukumizu, Shotaro Akaho, Shun-ichi Amari

NeurIPS 2002 pp. 889-896

/neurips/2002/fukumizu2002neurips-critical/

Abstract

We show the existence of critical points as lines for the likelihood func- tion of mixture-type models. They are given by embedding of a critical point for models with less components. A sufﬁcient condition that the critical line gives local maxima or saddle points is also derived. Based on this fact, a component-split method is proposed for a mixture of Gaus- sian components, and its effectiveness is veriﬁed through experiments.

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Cite

Text

Fukumizu et al. "Critical Lines in Symmetry of Mixture Models and Its Application to Component Splitting." Neural Information Processing Systems, 2002.

Markdown

[Fukumizu et al. "Critical Lines in Symmetry of Mixture Models and Its Application to Component Splitting." Neural Information Processing Systems, 2002.](https://mlanthology.org/neurips/2002/fukumizu2002neurips-critical/)

BibTeX

@inproceedings{fukumizu2002neurips-critical,
  title     = {{Critical Lines in Symmetry of Mixture Models and Its Application to Component Splitting}},
  author    = {Fukumizu, Kenji and Akaho, Shotaro and Amari, Shun-ichi},
  booktitle = {Neural Information Processing Systems},
  year      = {2002},
  pages     = {889-896},
  url       = {https://mlanthology.org/neurips/2002/fukumizu2002neurips-critical/}
}