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Finding best architectures of learning machines, such as deep neural networks, is a well-known technical and theoretical challenge. Recent work by Mellor et al (2021) showed that there may exist correlations between the accuracies of…

Machine Learning · Computer Science 2022-04-01 Qinghua Zhou , Alexander N. Gorban , Evgeny M. Mirkes , Jonathan Bac , Andrei Zinovyev , Ivan Y. Tyukin

Learning in hyperbolic spaces has attracted increasing attention due to its superior ability to model hierarchical structures of data. Most existing hyperbolic learning methods use fixed distance measures for all data, assuming a uniform…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Pengxiang Li , Yuwei Wu , Zhi Gao , Xiaomeng Fan , Wei Wu , Zhipeng Lu , Yunde Jia , Mehrtash Harandi

Image retrieval methods rely on metric learning to train backbone feature extraction models that can extract discriminant queries and reference (gallery) feature representations for similarity matching. Although state-of-the-art accuracy…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Madhu Kiran , Kartikey Vishnu , Rafael M. O. Cruz , Eric Granger

As deep learning methodologies have developed, it has been generally agreed that increasing neural network size improves model quality. However, this is at the expense of memory and compute requirements, which also need to be increased.…

Machine Learning · Computer Science 2024-08-07 Mitchelle Rasquinha , Gil Tabak

In this paper, we present a novel two-stage metric learning algorithm. We first map each learning instance to a probability distribution by computing its similarities to a set of fixed anchor points. Then, we define the distance in the…

Machine Learning · Computer Science 2014-05-16 Jun Wang , Ke Sun , Fei Sha , Stephane Marchand-Maillet , Alexandros Kalousis

Preference are central to decision making by both machines and humans. Representing, learning, and reasoning with preferences is an important area of study both within computer science and across the sciences. When working with preferences…

Machine Learning · Computer Science 2020-10-15 Andrea Loreggia , Nicholas Mattei , Francesca Rossi , K. Brent Venable

In this paper, we present a novel deep metric learning method to tackle the multi-label image classification problem. In order to better learn the correlations among images features, as well as labels, we attempt to explore a latent space,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Changsheng Li , Chong Liu , Lixin Duan , Peng Gao , Kai Zheng

Deep metric learning for vision is trained by optimizing a representation network to map (non-)matching image pairs to (non-)similar representations. During testing, which typically corresponds to image retrieval, both database and query…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Pavel Suma , Giorgos Tolias

The distance metric plays an important role in nearest neighbor (NN) classification. Usually the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized to improve the NN performance. In this paper, we study the…

Machine Learning · Statistics 2007-06-26 Bharath K. Sriperumbudur , Gert R. G. Lanckriet

The Wasserstein distance received a lot of attention recently in the community of machine learning, especially for its principled way of comparing distributions. It has found numerous applications in several hard problems, such as domain…

Machine Learning · Statistics 2017-10-23 Nicolas Courty , Rémi Flamary , Mélanie Ducoffe

We address the problem of classifying trajectory data generated by some nonlinear dynamics, where each class corresponds to a distinct dynamical system. We propose Dynafit, a kernel-based method for learning a distance metric between…

Machine Learning · Computer Science 2026-02-13 Dominique Martinez

Person re-identification is challenging due to the large variations of pose, illumination, occlusion and camera view. Owing to these variations, the pedestrian data is distributed as highly-curved manifolds in the feature space, despite the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-02 Hailin Shi , Yang Yang , Xiangyu Zhu , Shengcai Liao , Zhen Lei , Weishi Zheng , Stan Z. Li

We propose unsupervised representation learning and feature extraction from dendrograms. The commonly used Minimax distance measures correspond to building a dendrogram with single linkage criterion, with defining specific forms of a level…

Machine Learning · Computer Science 2023-01-02 Morteza Haghir Chehreghani , Mostafa Haghir Chehreghani

The definition of weighted distance measure involves weights. The paper proposes a weighted distance measure without the help of weights. Here, weights are intrinsically added to the measure, and for this, the concept of metric space is…

Metric Geometry · Mathematics 2023-12-20 Q. M. Danish Lohani , Ashutosh Tiwari , Mohd Shoaib Khan

Measuring the distance between data points is fundamental to many statistical techniques, such as dimension reduction or clustering algorithms. However, improvements in data collection technologies has led to a growing versatility of…

Methodology · Statistics 2022-06-20 George Bolt , Simón Lunagómez , Christopher Nemeth

Recognizing an activity with a single reference sample using metric learning approaches is a promising research field. The majority of few-shot methods focus on object recognition or face-identification. We propose a metric learning…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Raphael Memmesheimer , Nick Theisen , Dietrich Paulus

We study the problem of supervised learning a metric space under discriminative constraints. Given a universe $X$ and sets ${\cal S}, {\cal D}\subset {X \choose 2}$ of similar and dissimilar pairs, we seek to find a mapping $f:X\to Y$, into…

Computational Geometry · Computer Science 2019-03-20 Diego Ihara Centurion , Neshat Mohammadi , Anastasios Sidiropoulos

The modern image search system requires semantic understanding of image, and a key yet under-addressed problem is to learn a good metric for measuring the similarity between images. While deep metric learning has yielded impressive…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Jian Wang , Feng Zhou , Shilei Wen , Xiao Liu , Yuanqing Lin

Deep learning methods have played a more and more important role in hyperspectral image classification. However, the general deep learning methods mainly take advantage of the information of sample itself or the pairwise information between…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Zhiqiang Gong , Weidong Hu , Xiaoyong Du , Ping Zhong , Panhe Hu

Deep metric learning techniques have been used for visual representation in various supervised and unsupervised learning tasks through learning embeddings of samples with deep networks. However, classic approaches, which employ a fixed…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Zhiyuan Li , Ziru Liu , Anna Zou , Anca L. Ralescu