Search Results for author: Salman Salamatian

Found 4 papers, 1 papers with code

Correspondence Analysis Using Neural Networks

2 code implementations21 Feb 2019 Hsiang Hsu, Salman Salamatian, Flavio P. Calmon

Correspondence analysis (CA) is a multivariate statistical tool used to visualize and interpret data dependencies.


Generalizing Correspondence Analysis for Applications in Machine Learning

no code implementations21 Jun 2018 Hsiang Hsu, Salman Salamatian, Flavio P. Calmon

In this paper, we provide a novel interpretation of CA in terms of an information-theoretic quantity called the principal inertia components.

BIG-bench Machine Learning Dimensionality Reduction +2

Generalizing Bottleneck Problems

no code implementations16 Feb 2018 Hsiang Hsu, Shahab Asoodeh, Salman Salamatian, Flavio P. Calmon

Given a pair of random variables $(X, Y)\sim P_{XY}$ and two convex functions $f_1$ and $f_2$, we introduce two bottleneck functionals as the lower and upper boundaries of the two-dimensional convex set that consists of the pairs $\left(I_{f_1}(W; X), I_{f_2}(W; Y)\right)$, where $I_f$ denotes $f$-information and $W$ varies over the set of all discrete random variables satisfying the Markov condition $W \to X \to Y$.

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