4 papers
Kolmogorov--Nagumo Mean Frameworks for Conditional Entropy
Akira Kamatsuka, Takahiro Yoshida
This study focuses on conditional entropy frameworks based on the Kolmogorov--Nagumo (KN) mean. First, -KN averaging (\texttt{EPKNAVG}), a KN-mean extension of the -a…
A Generalized Information Bottleneck Method: A Decision-Theoretic Perspective
Akira Kamatsuka, Takahiro Yoshida
The information bottleneck (IB) method seeks a compressed representation of data that preserves information relevant to a target variable for prediction while discarding irrelevant…
A Generalized Leakage Interpretation of Alpha-Mutual Information
Akira Kamatsuka, Takahiro Yoshida
This paper presents a unified interpretation of -mutual information (-MI) in terms of generalized -leakage. Specifically, we present a novel interpretation of -MI wi…
Alternating Optimization Approach for Computing -Mutual Information and -Capacity
Akira Kamatsuka, Koki Kazama, Takahiro Yoshida
This study presents alternating optimization (AO) algorithms for computing -mutual information (-MI) and -capacity based on variational characterizations of -MI usi…