12 Graph-Based Dimensionality Reduction - Image Processing and Analysis with Graphs [Book]

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Graph-Based Dimensionality Reduction

John A. Lee

Center for Molecular Imaging, Radiotherapy, and Oncology (MIRO)

Université catholique de Louvain

Louvain-la-Neuve, Belgium

Email: john.lee@uclouvain.be

Michel Verleysen

Machine Learning Group (MLG), ICTEAM Institute

Université catholique de Louvain

Louvain-la-Neuve, Belgium

Statistique, Analyse, Modeélisation Multidisciplinaire (SAMM)

Université Paris I Panthéon-Sorbonne

Paris, France

Email: michel.verleysen@uclouvain.be

CONTENTS

12.2 Introduction

12.3 Classical methods

12.3.1 Principal component analysis

12.3.2 Multidimensional scaling

12.3.3 Nonlinear MDS and Distance Preservation

12.4 Nonlinearity through Graphs

12.5 Graph-Based Distances

12.6 Graph-Based Similarities ...

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