Search Results for author: Tomohiko Mizutani

Found 7 papers, 1 papers with code

Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability

1 code implementation7 Sep 2021 Tomohiko Mizutani

In such applications, the robustness of the algorithm to noise is the key to the success.

Improved Analysis of Spectral Algorithm for Clustering

no code implementations6 Dec 2019 Tomohiko Mizutani

To gain a better understanding of why spectral clustering is successful, Peng et al. (2015) and Kolev and Mehlhorn (2016) studied the behavior of a certain type of spectral algorithm for a class of graphs, called well-clustered graphs.

Clustering graph partitioning

Convex Programming Based Spectral Clustering

no code implementations11 May 2018 Tomohiko Mizutani

Clustering is a fundamental task in data analysis, and spectral clustering has been recognized as a promising approach to it.

Clustering

Robustness Analysis of Preconditioned Successive Projection Algorithm for General Form of Separable NMF Problem

no code implementations28 Jun 2015 Tomohiko Mizutani

However, it may be unrealistic to expect that the condition holds in separable NMF problems appearing in actual applications; in such problems, $d$ is usually greater than $r$.

Single Particle Analysis

Ellipsoidal Rounding for Nonnegative Matrix Factorization Under Noisy Separability

no code implementations23 Sep 2013 Tomohiko Mizutani

We present a numerical algorithm for nonnegative matrix factorization (NMF) problems under noisy separability.

Clustering

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