Title
Binary independent component analysis: Theory, bounds and algorithms
Abstract
Independent Component Analysis (ICA) is a statistical method for transforming an observable multi-dimensional random vector into components that are as statistically independent as possible from each other. The binary ICA (BICA) is a special case of ICA in which both the observations and the independent components are over a binary alphabet. The BICA problem has received a significant amount of attention in the past decade, mostly in the form of algorithmic approaches and heuristic solutions. However, BICA still suffers from a substantial lack of theoretical bounds and efficiency guarantees. In this work we address these concerns, as we introduce novel lower bounds and theoretical properties for the BICA problem, both under linear and non-linear transformations. In addition, we present simple algorithms which apply our methodology and achieve favorable merits, both in terms of their accuracy, and their practically optimal computational complexity.
Year
DOI
Venue
2016
10.1109/MLSP.2016.7738870
2016 IEEE 26th International Workshop on Machine Learning for Signal Processing (MLSP)
Keywords
Field
DocType
ICA,BICA,factorial codes,minimal redundancy representation,minimum entropy encoding
Computer science,Theoretical computer science,Artificial intelligence,Independence (probability theory),Special case,Binary number,Heuristic,Algorithm design,Algorithm,Multivariate random variable,Independent component analysis,Machine learning,Computational complexity theory
Conference
ISSN
ISBN
Citations 
2161-0363
978-1-5090-0747-9
0
PageRank 
References 
Authors
0.34
12
3
Name
Order
Citations
PageRank
Amichai Painsky1188.11
Saharon Rosset21087105.33
Meir Feder3809174.02