Title
Large-Margin Metric Learning for Partitioning Problems
Abstract
In this paper, we consider unsupervised partitioning problems, such as clustering, image segmentation, video segmentation and other change-point detection problems. We focus on partitioning problems based explicitly or implicitly on the minimization of Euclidean distortions, which include mean-based change-point detection, K-means, spectral clustering and normalized cuts. Our main goal is to learn a Mahalanobis metric for these unsupervised problems, leading to feature weighting and/or selection. This is done in a supervised way by assuming the availability of several potentially partially labelled datasets that share the same metric. We cast the metric learning problem as a large-margin structured prediction problem, with proper definition of regularizers and losses, leading to a convex optimization problem which can be solved efficiently with iterative techniques. We provide experiments where we show how learning the metric may significantly improve the partitioning performance in synthetic examples, bioinformatics, video segmentation and image segmentation problems.
Year
Venue
Field
2013
CoRR
Spectral clustering,Scale-space segmentation,Structured prediction,Segmentation-based object categorization,Mahalanobis distance,Image segmentation,Artificial intelligence,Cluster analysis,Mathematical optimization,Pattern recognition,Segmentation,Machine learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1303.1280
3
PageRank 
References 
Authors
0.42
19
3
Name
Order
Citations
PageRank
Rémi Lajugie11014.68
Sylvain Arlot2656.87
Francis Bach311490622.29