[PDF][PDF] Learning distance functions using equivalence relations

A Bar-Hillel, T Hertz, N Shental… - Proceedings of the 20th …, 2003 - cdn.aaai.org
We address the problem of learning distance metrics using side-information in the form of
groups of" similar" points. We propose to use the RCA algorithm, which is a simple and …

Distance metric learning with application to clustering with side-information

E Xing, M Jordan, SJ Russell… - Advances in neural …, 2002 - proceedings.neurips.cc
Many algorithms rely critically on being given a good metric over their inputs. For instance,
data can often be clustered in many “plausible” ways, and if a clustering algorithm such as K …

Structured metric learning for high dimensional problems

JV Davis, IS Dhillon - Proceedings of the 14th ACM SIGKDD …, 2008 - dl.acm.org
The success of popular algorithms such as k-means clustering or nearest neighbor searches
depend on the assumption that the underlying distance functions reflect domain-specific …

A tutorial on distance metric learning: Mathematical foundations, algorithms, experimental analysis, prospects and challenges

JL Suárez, S García, F Herrera - Neurocomputing, 2021 - Elsevier
Distance metric learning is a branch of machine learning that aims to learn distances from
the data, which enhances the performance of similarity-based algorithms. This tutorial …

[PDF][PDF] Learning a Mahalanobis metric from equivalence constraints.

A Bar-Hillel, T Hertz, N Shental, D Weinshall… - Journal of machine …, 2005 - jmlr.org
Many learning algorithms use a metric defined over the input space as a principal tool, and
their performance critically depends on the quality of this metric. We address the problem of …

[PDF][PDF] Distance metric learning: A comprehensive survey

L Yang, R Jin - Michigan State Universiy, 2006 - cse.msu.edu
Many machine learning algorithms, such as K Nearest Neighbor (KNN), heavily rely on the
distance metric for the input data patterns. Distance Metric learning is to learn a distance …

Regularized distance metric learning: Theory and algorithm

R Jin, S Wang, Y Zhou - Advances in neural information …, 2009 - proceedings.neurips.cc
In this paper, we examine the generalization error of regularized distance metric learning.
We show that with appropriate constraints, the generalization error of regularized distance …

[PDF][PDF] Distance metric learning with eigenvalue optimization

Y Ying, P Li - The Journal of Machine Learning Research, 2012 - jmlr.org
The main theme of this paper is to develop a novel eigenvalue optimization framework for
learning a Mahalanobis metric. Within this context, we introduce a novel metric learning …

Metric learning: A survey

B Kulis - Foundations and Trends® in Machine Learning, 2013 - nowpublishers.com
The metric learning problem is concerned with learning a distance function tuned to a
particular task, and has been shown to be useful when used in conjunction with nearest …

Supervised distance metric learning through maximization of the Jeffrey divergence

B Nguyen, C Morell, B De Baets - Pattern Recognition, 2017 - Elsevier
Over the past decades, distance metric learning has attracted a lot of interest in machine
learning and related fields. In this work, we propose an optimization framework for distance …