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Metric learning methods have been shown to perform well on different learning tasks. Many of them rely on target neighborhood relationships that are computed in the original feature space and remain fixed throughout learning. As a result,…

Machine Learning · Computer Science 2012-07-02 Jun Wang , Adam Woznica , Alexandros Kalousis

The past decade has witnessed the rapid development of feature representation learning and distance metric learning, whereas the two steps are often discussed separately. To explore their interaction, this work proposes an end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2016-04-18 Guangrun Wang , Liang Lin , Shengyong Ding , Ya Li , Qing Wang

We study the problem of similarity learning and its application to image retrieval with large-scale data. The similarity between pairs of images can be measured by the distances between their high dimensional representations, and the…

Machine Learning · Computer Science 2015-12-08 Qi Qian , Inci M. Baytas , Rong Jin , Anil Jain , Shenghuo Zhu

Bayesian nonparametric methods are naturally suited to the problem of out-of-distribution (OOD) detection. However, these techniques have largely been eschewed in favor of simpler methods based on distances between pre-trained or learned…

Machine Learning · Statistics 2026-05-28 Randolph W. Linderman , Noah Cowan , Yiran Chen , Scott W. Linderman

Recent advancements in semi-supervised deep learning have introduced effective strategies for leveraging both labeled and unlabeled data to improve classification performance. This work proposes a semi-supervised framework that utilizes a…

Machine Learning · Computer Science 2025-05-21 Aydin Abedinia , Shima Tabakhi , Vahid Seydi

Majorization-minimization algorithms consist of iteratively minimizing a majorizing surrogate of an objective function. Because of its simplicity and its wide applicability, this principle has been very popular in statistics and in signal…

Machine Learning · Statistics 2013-09-11 Julien Mairal

This paper proposes a new probabilistic classification algorithm using a Markov random field approach. The joint distribution of class labels is explicitly modelled using the distances between feature vectors. Intuitively, a class label…

Computation · Statistics 2010-06-02 Nial Friel , Anthony N. Pettitt

We present analytical expressions for the means and covariances of the sample distribution of the cross-validated Mahalanobis distance. This measure has proven to be especially useful in the context of representational similarity analysis…

Applications · Statistics 2016-07-06 Jörn Diedrichsen , Serge Provost , Hossein Zareamoghaddam

Learning the distance metric between pairs of examples is of great importance for learning and visual recognition. With the remarkable success from the state of the art convolutional neural networks, recent works have shown promising…

Computer Vision and Pattern Recognition · Computer Science 2015-11-23 Hyun Oh Song , Yu Xiang , Stefanie Jegelka , Silvio Savarese

Deep learning models have become a popular choice for medical image analysis. However, the poor generalization performance of deep learning models limits them from being deployed in the real world as robustness is critical for medical…

Computer Vision and Pattern Recognition · Computer Science 2021-07-19 Anisie Uwimana1 , Ransalu Senanayake

Curve matching is a prediction technique that relies on predictive mean matching, which matches donors that are most similar to a target based on the predictive distance. Even though this approach leads to high prediction accuracy, the…

Methodology · Statistics 2022-07-12 Anaïs Fopma , Mingyang Cai , Stef van Buuren , Gerko Vink

The ability of deep learning models to learn continuously is essential for adapting to new data categories and evolving data distributions. In recent years, approaches leveraging frozen feature extractors after an initial learning phase…

Machine Learning · Computer Science 2025-04-15 Kamil Książek , Hubert Jastrzębski , Bartosz Trojan , Krzysztof Pniaczek , Michał Karp , Jacek Tabor

In a regression setting we propose algorithms that reduce the dimensionality of the features while simultaneously maximizing a statistical measure of dependence known as distance correlation between the low-dimensional features and a…

Machine Learning · Computer Science 2017-02-20 Praneeth Vepakomma , Ahmed Elgammal

Robust estimators of location and dispersion are often used in the elliptical model to obtain an uncontaminated and highly representative subsample by trimming the data outside an ellipsoid based in the associated Mahalanobis distance. Here…

Statistics Theory · Mathematics 2016-08-14 Juan A. Cuesta-Albertos , Carlos Matrán , Agustín Mayo-Iscar

Many metric learning tasks, such as triplet learning, nearest neighbor retrieval, and visualization, are treated primarily as embedding tasks where the ultimate metric is some variant of the Euclidean distance (e.g., cosine or Mahalanobis),…

Machine Learning · Computer Science 2023-11-22 Fred Lu , Edward Raff , Francis Ferraro

Metric learning has attracted extensive interest for its ability to provide personalized recommendations based on the importance of observed user-item interactions. Current metric learning methods aim to push negative items away from the…

Information Retrieval · Computer Science 2025-12-24 Yan Zhang , Li Deng , Lixin Duan , Sami Azam

Many recent loss functions in deep metric learning are expressed with logarithmic and exponential forms, and they involve margin and scale as essential hyper-parameters. Since each data class has an intrinsic characteristic, several…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-24 Myunghun Jung , Hoirin Kim

Detecting out-of-distribution (OOD) examples is an important task for deploying reliable machine learning models in safety-critial applications. While post-hoc methods based on the Mahalanobis distance applied to pre-logit features are…

Machine Learning · Computer Science 2025-05-26 Maximilian Mueller , Matthias Hein

A fundamental notion of distance between train and test distributions from the field of domain adaptation is discrepancy distance. While in general hard to compute, here we provide the first set of provably efficient algorithms for testing…

Data Structures and Algorithms · Computer Science 2024-06-14 Gautam Chandrasekaran , Adam R. Klivans , Vasilis Kontonis , Konstantinos Stavropoulos , Arsen Vasilyan

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

Signal Processing · Electrical Eng. & Systems 2021-10-15 Michael Koller , Wolfgang Utschick