vix.ing · top · new · best · stats · spec

Efficient Parametric Projection Pursuit Density Estimation

2012/10/19 by Max Welling, Welling, Max, Richard S. Zemel +3
Computer Science · #Blind Source Separation Techniques #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.1212.2513

openalex publication_date 2012/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Product models of low dimensional experts are a powerful way to avoid the curse of dimensionality. We present the ``under-complete product of experts' (UPoE), where each expert models a one dimensional projection of the data. The UPoE is fully tractable and may be interpreted as a parametric probabilistic model for projection pursuit. Its ML learning rules are identical to the approximate learning rules proposed before for under-complete ICA. We also derive an efficient sequential learning algorithm and discuss its relationship to projection pursuit density estimation and feature induction algorithms for additive random field models.

Citations

Related