461 citations · 1.2k across the 8 of their papers we have counts for
8 papers
Relational patterns of gene expression via nonmetric multidimensional scaling analysis
Y. -h. Taguchi, Y. Oono
Motivation:Microarray experiments result in large scale data sets that require extensive mining and refining to extract useful information. We demonstrate the usefulness of (nonmet…
Temporal patterns of gene expression via nonmetric multidimensional scaling analysis
Y-h. Taguchi, Y. Oono
Motivation: Microarray experiments result in large scale data sets that require extensive mining and refining to extract useful information. We have been developing an efficient no…
The Renormalization Group and Singular Perturbations: Multiple-Scales, Boundary Layers and Reductive Perturbation Theory
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono
Perturbative renormalization group theory is developed as a unified tool for global asymptotic analysis. With numerous examples, we illustrate its application to ordinary different…
Renormalization Group Theory for Global Asymptotic Analysis
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono
We show with several examples that renormalization group (RG) theory can be used to understand singular and reductive perturbation methods in a unified fashion. Amplitude equations…
Renormalization Group Theory And Variational Calculations For Propagating Fronts
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono
We study the propagation of uniformly translating fronts into a linearly unstable state, both analytically and numerically. We introduce a perturbative renormalization group (RG) a…
Selection, Stability and Renormalization
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono +1
We illustrate how to extend the concept of structural stability through applying it to the front propagation speed selection problem. This consideration leads us to a renormalizati…