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ICML 2007 - The 24th Annual International Conference on Machine Learning
Pascal

Learning to Combine Distances for Complex Representations

author: Adam Woznica, University of Geneva

Description

The k-Nearest Neighbors algorithm can be easily adapted to classify complex objects (e.g. sets, graphs) as long as a proper dissimilarity function is given over an input space. Both the representation of the learning instances and the dissimilarity employed on that representation should be determined on the basis of domain knowledge. However, even in the presence of domain knowledge, it can be far from obvious which complex representation should be used or which dissimilarity should be applied on the chosen representation. In this paper we present a framework that allows to combine different complex representations of a given learning problem and/or different dissimilarities defined on these representations. We build on ideas developed previously on metric learning for vectorial data. We demonstrate the utility of our method in domains in which the learning instances are represented as sets of vectors by learning how to combine different set distance measures.

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Slides
0:00 Learning to Combine Distances for Complex Representations
0:24 Motivation
1:59 Outline
2:44 Formulation of Distance Combination
4:30 Learning to Combine Distances
5:27 Learning to Combine Distances (cont.)
6:13 Methods :: Xing
7:22 Methods :: MCML (Maximally Collapsing Metric Learning)
8:49 Methods :: NCA (Neighborhood Component Analysis)
9:35 Regularization
10:42 Experiments
12:50 Experiments (cont.)
14:13 Experiments :: Results
16:18 Experiments :: Visualization (I)
17:38 Experiments :: Visualization (II)
18:18 Experiments :: Reducing the Size of the Problem
19:02 Conclusions and Future Work
21:10 - Questions

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