4

Sparse representation and piece-wise linear kernel

We propose a new type of kernel function, where feature space is explicitly given with a piece-wise linear mapping from the input space. This idea is inspired by sparse linear system analysis, where inputs are represented as a sparse linear …

Stochastic Reasoning, Free Energy and Information Geometry

Information Geometry of Turbo and Low-Density Parity-Check Codes

Information Geometry and Mean Field Approximation: The α-projection Approach

Information geometry is applied to mean field approximation for elucidating its properties in the spin glass model or the Boltzmann machine. The $α$-divergence is used for approximation, where $α$-geodesic projection plays an important role. The …

ICA for noisy neurobiological data

An Approach to Blind Source Separation Based on Temporal Structure of Speech Signals

In this paper we introduce a new technique for blind source separation of speech signals. We focus on the temporal structure of the signals in contrast to most other major approaches to this problem. The idea is to apply the decorrelation method …