1 code implementation • 7 Sep 2021 • Tomohiko Mizutani
In such applications, the robustness of the algorithm to noise is the key to the success.
no code implementations • 6 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.
no code implementations • 11 May 2018 • Tomohiko Mizutani
Clustering is a fundamental task in data analysis, and spectral clustering has been recognized as a promising approach to it.
no code implementations • 1 Oct 2017 • Tomohiko Mizutani, Mirai Tanaka
To ensure this, our modification employs a rank-$k$ approximation produced by an SPA based algorithm.
no code implementations • 28 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 $r$.
no code implementations • 5 Mar 2015 • Tomohiko Mizutani
This paper proposes a variant of the normalized cut algorithm for spectral clustering.
no code implementations • 23 Sep 2013 • Tomohiko Mizutani
We present a numerical algorithm for nonnegative matrix factorization (NMF) problems under noisy separability.