pLSA for Sparse Arrays with Tsallis Pseudo-Additive Divergence: Noise Robustness and Algorithm

Abstract

We introduce the Tsallis divergence error measure in the context of pLSA matrix and tensor decompositions showing much improved performance in the presence of noise. The focus of our approach is on one hand to provide an optimization framework which extends (in the sense of a one parameter family) the Maximum Likelihood framework and on the other hand is theoretically guaranteed to provide robustness under clutter, noise and outliers in the measurement matrix under certain conditions. Specifically, the conditions under which our approach excels is when the measurement array (co-occurrences) is sparse — which happens in the application domain of "bag of visual words".

Cite

Text

Hazan et al. "pLSA for Sparse Arrays with Tsallis Pseudo-Additive Divergence: Noise Robustness and Algorithm." IEEE/CVF International Conference on Computer Vision, 2007. doi:10.1109/ICCV.2007.4409048

Markdown

[Hazan et al. "pLSA for Sparse Arrays with Tsallis Pseudo-Additive Divergence: Noise Robustness and Algorithm." IEEE/CVF International Conference on Computer Vision, 2007.](https://mlanthology.org/iccv/2007/hazan2007iccv-plsa/) doi:10.1109/ICCV.2007.4409048

BibTeX

@inproceedings{hazan2007iccv-plsa,
  title     = {{pLSA for Sparse Arrays with Tsallis Pseudo-Additive Divergence: Noise Robustness and Algorithm}},
  author    = {Hazan, Tamir and Hardoon, Roee and Shashua, Amnon},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {2007},
  pages     = {1-8},
  doi       = {10.1109/ICCV.2007.4409048},
  url       = {https://mlanthology.org/iccv/2007/hazan2007iccv-plsa/}
}