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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

Deep discriminative approaches, such as decision forests and deep neural networks, have recently found applications in many important real-world scenarios. However, deploying these learning algorithms in safety-critical applications raises…

Machine Learning · Computer Science 2025-06-12 Jayanta Dey , Haoyin Xu , Ashwin De Silva , Joshua T. Vogelstein

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

The concepts of similarity and distance are crucial in data mining. We consider the problem of defining the distance between two data sets by comparing summary statistics computed from the data sets. The initial definition of our distance…

Data Structures and Algorithms · Computer Science 2019-02-05 Nikolaj Tatti

Statistical distance measures have found wide applicability in information retrieval tasks that typically involve high dimensional datasets. In order to reduce the storage space and ensure efficient performance of queries, dimensionality…

Computational Geometry · Computer Science 2010-03-09 Arnab Bhattacharya , Purushottam Kar , Manjish Pal

Kernels are often developed and used as implicit mapping functions that show impressive predictive power due to their high-dimensional feature space representations. In this study, we gradually construct a series of simple feature maps that…

Machine Learning · Computer Science 2020-07-20 Gurhan Ceylan , S. Ilker Birbil

The recent developments in machine learning have highlighted a conflict between online platforms and their users in terms of privacy. The importance of user privacy and the struggle for power over user data has been intensified as…

Machine Learning · Computer Science 2026-03-09 Charles Meyers , Aaron MacSween , Erik Elmroth , Tommy Löfstedt

A common practice in metric learning is to train and test an embedding model for each dataset. This dataset-specific approach fails to simulate real-world scenarios that involve multiple heterogeneous distributions of data. In this regard,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Sungyeon Kim , Donghyun Kim , Suha Kwak

Modern information processing relies on the axiom that high-dimensional data lie near low-dimensional geometric structures. This paper revisits the problem of data-driven learning of these geometric structures and puts forth two new…

Machine Learning · Statistics 2018-03-06 Tong Wu , Waheed U. Bajwa

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

Comparing conditional distributions is a fundamental challenge in statistics and machine learning, with applications across a wide range of domains. While proposed methods for measuring discrepancies using kernel embeddings of distributions…

Machine Learning · Statistics 2026-05-05 Peter Moskvichev , Siu Lun Chau , Dino Sejdinovic

Simultaneously solving multiple related learning tasks is beneficial under a variety of circumstances, but the prior knowledge necessary to correctly model task relationships is rarely available in practice. In this paper, we develop a…

Machine Learning · Computer Science 2013-07-02 Francesco Dinuzzo

The power of big data and machine learning has been drastically demonstrated in many fields during the past twenty years which somehow leads to the vague even false understanding that the huge amount of precious human knowledge accumulated…

Signal Processing · Electrical Eng. & Systems 2020-12-22 Daofeng Li , Kaihe Deng , Ming Zhao , Sihai Zhang , Jinkang Zhu

Unsupervised and supervised learning methods conventionally use kernels to capture nonlinearities inherent in data structure. However experts have to ensure their proposed nonlinearity maximizes variability and capture inherent diversity of…

Machine Learning · Computer Science 2025-07-30 Mojtaba Moattari

This paper investigates the notion of learning user and item representations in non-Euclidean space. Specifically, we study the connection between metric learning in hyperbolic space and collaborative filtering by exploring Mobius…

Information Retrieval · Computer Science 2019-12-02 Lucas Vinh Tran , Yi Tay , Shuai Zhang , Gao Cong , Xiaoli Li

Kernel density estimation is a technique for approximating probability distributions. Here, it is applied to the calculation of mutual information on a metric space. This is motivated by the problem in neuroscience of calculating the mutual…

Information Theory · Computer Science 2014-05-20 R. Joshua Tobin , Conor J. Houghton

Deep Learning performs well when training data densely covers the experience space. For complex problems this makes data collection prohibitively expensive. We propose to intelligently select samples when constructing data sets in order to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Mark Philip Philipsen , Thomas Baltzer Moeslund

In this paper, we focus on the problem of inferring the underlying reward function of an expert given demonstrations, which is often referred to as inverse reinforcement learning (IRL). In particular, we propose a model-free density-based…

Robotics · Computer Science 2016-10-03 Sungjoon Choi , Kyungjae Lee , Andy Park , Songhwai Oh

Mahalanobis distance (MD) is a simple and popular post-processing method for detecting out-of-distribution (OOD) inputs in neural networks. We analyze its failure modes for near-OOD detection and propose a simple fix called relative…

Machine Learning · Computer Science 2021-06-18 Jie Ren , Stanislav Fort , Jeremiah Liu , Abhijit Guha Roy , Shreyas Padhy , Balaji Lakshminarayanan

Existing measures and representations for trajectories have two longstanding fundamental shortcomings, i.e., they are computationally expensive and they can not guarantee the `uniqueness' property of a distance function: dist(X,Y) = 0 if…

Machine Learning · Computer Science 2023-01-03 Yufan Wang , Kai Ming Ting , Yuanyi Shang
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