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Computing the similarity between two data points plays a vital role in many machine learning algorithms. Metric learning has the aim of learning a good metric automatically from data. Most existing studies on metric learning for…

Machine Learning · Computer Science 2020-03-10 Hikaru Shindo , Masaaki Nishino , Yasuaki Kobayashi , Akihiro Yamamoto

Estimating the test performance of a model, possibly under distribution shift, without having access to the ground-truth labels is a challenging, yet very important problem for the safe deployment of machine learning algorithms in the wild.…

Machine Learning · Computer Science 2025-05-13 Renchunzi Xie , Ambroise Odonnat , Vasilii Feofanov , Ievgen Redko , Jianfeng Zhang , Bo An

Data classification without access to labeled samples remains a challenging problem. It usually depends on an appropriately chosen distance between features, a topic addressed in metric learning. Recently, Huizing, Cantini and Peyr\'e…

Optimization and Control · Mathematics 2025-07-18 Janis Auffenberg , Jonas Bresch , Oleh Melnyk , Gabriele Steidl

We consider the problem of learning distance-based Graph Convolutional Networks (GCNs) for relational data. Specifically, we first embed the original graph into the Euclidean space $\mathbb{R}^m$ using a relational density estimation…

Machine Learning · Computer Science 2021-10-14 Devendra Singh Dhami , Siwen Yan , Sriraam Natarajan

The goal of transfer learning is to improve the performance of target learning task by leveraging information (or transferring knowledge) from other related tasks. In this paper, we examine the problem of transfer distance metric learning…

Machine Learning · Statistics 2019-04-09 Yong Luo , Yonggang Wen , Tongliang Liu , Dacheng Tao

Graph distance metric learning serves as the foundation for many graph learning problems, e.g., graph clustering, graph classification and graph matching. Existing research works on graph distance metric (or graph kernels) learning fail to…

Machine Learning · Computer Science 2020-02-11 Jiawei Zhang

The crucial importance of metrics in machine learning algorithms has led to an increasing interest in optimizing distance and similarity functions, an area of research known as metric learning. When data consist of feature vectors, a large…

Machine Learning · Computer Science 2019-01-25 Aurélien Bellet

In this paper we study supervised learning tasks on the space of probability measures. We approach this problem by embedding the space of probability measures into $L^2$ spaces using the optimal transport framework. In the embedding spaces,…

Statistics Theory · Mathematics 2022-01-27 Varun Khurana , Harish Kannan , Alexander Cloninger , Caroline Moosmüller

When training a Neural Network, it is optimized using the available training data with the hope that it generalizes well to new or unseen testing data. At the same absolute value, a flat minimum in the loss landscape is presumed to…

Machine Learning · Computer Science 2023-09-06 Nicolas Lell , Ansgar Scherp

We propose a new probabilistic framework that allows mobile robots to autonomously learn deep, generative models of their environments that span multiple levels of abstraction. Unlike traditional approaches that combine engineered models…

Robotics · Computer Science 2018-01-01 Andrzej Pronobis , Rajesh P. N. Rao

Metric learning has been shown to be highly effective to improve the performance of nearest neighbor classification. In this paper, we address the problem of metric learning for Symmetric Positive Definite (SPD) matrices such as covariance…

Machine Learning · Computer Science 2015-02-13 Florian Yger , Masashi Sugiyama

Probability metrics have become an indispensable part of modern statistics and machine learning, and they play a quintessential role in various applications, including statistical hypothesis testing and generative modeling. However, in a…

Machine Learning · Statistics 2020-03-02 Soheil Kolouri , Kimia Nadjahi , Umut Simsekli , Shahin Shahrampour

Geodesic distance serves as a reliable means of measuring distance in nonlinear spaces, and such nonlinear manifolds are prevalent in the current multimodal learning. In these scenarios, some samples may exhibit high similarity, yet they…

Computer Vision and Pattern Recognition · Computer Science 2025-05-19 Shibin Mei , Hang Wang , Bingbing Ni

Metric learning has the aim to improve classification accuracy by learning a distance measure which brings data points from the same class closer together and pushes data points from different classes further apart. Recent research has…

Machine Learning · Computer Science 2018-05-21 Benjamin Paaßen

Learning the embedding space, where semantically similar objects are located close together and dissimilar objects far apart, is a cornerstone of many computer vision applications. Existing approaches usually learn a single metric in the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-17 Artsiom Sanakoyeu , Vadim Tschernezki , Uta Büchler , Björn Ommer

We propose a new method for local distance metric learning based on sample similarity as side information. These local metrics, which utilize conical combinations of metric weight matrices, are learned from the pooled spatial…

Machine Learning · Computer Science 2019-02-25 YInjie Huang , Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Goal-conditioned reinforcement learning (GCRL) has a wide range of potential real-world applications, including manipulation and navigation problems in robotics. Especially in such robotics tasks, sample efficiency is of the utmost…

Machine Learning · Computer Science 2023-01-23 Bo Liu , Yihao Feng , Qiang Liu , Peter Stone

Self-supervised metric learning has been a successful approach for learning a distance from an unlabeled dataset. The resulting distance is broadly useful for improving various distance-based downstream tasks, even when no information from…

Machine Learning · Statistics 2022-03-18 Shulei Wang

Pedestrian trajectory prediction is an essential component in a wide range of AI applications such as autonomous driving and robotics. Existing methods usually assume the training and testing motions follow the same pattern while ignoring…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Yi Xu , Lichen Wang , Yizhou Wang , Yun Fu

To operate intelligently in domestic environments, robots require the ability to understand arbitrary spatial relations between objects and to generalize them to objects of varying sizes and shapes. In this work, we present a novel…

Robotics · Computer Science 2019-07-02 Philipp Jund , Andreas Eitel , Nichola Abdo , Wolfram Burgard