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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

Distance metric learning can be viewed as one of the fundamental interests in pattern recognition and machine learning, which plays a pivotal role in the performance of many learning methods. One of the effective methods in learning such a…

Machine Learning · Computer Science 2020-02-21 Mostafa Razavi Ghods , Mohammad Hossein Moattar , Yahya Forghani

Metric learning aims to learn a distance metric such that semantically similar instances are pulled together while dissimilar instances are pushed away. Many existing methods consider maximizing or at least constraining a distance margin in…

Machine Learning · Statistics 2022-08-17 Xiaochen Yang , Yiwen Guo , Mingzhi Dong , Jing-Hao Xue

We study the problem of learning local metrics for nearest neighbor classification. Most previous works on local metric learning learn a number of local unrelated metrics. While this "independence" approach delivers an increased flexibility…

Machine Learning · Computer Science 2012-09-17 Jun Wang , Adam Woznica , Alexandros Kalousis

Distance metric learning is a successful way to enhance the performance of the nearest neighbor classifier. In most cases, however, the distribution of data does not obey a regular form and may change in different parts of the feature…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Hossein Rajabzadeh , Mansoor Zolghadri Jahromi , Mohammad Sadegh Zare , Mostafa Fakhrahmad

A number of machine learning algorithms are using a metric, or a distance, in order to compare individuals. The Euclidean distance is usually employed, but it may be more efficient to learn a parametric distance such as Mahalanobis metric.…

Machine Learning · Computer Science 2016-12-16 Hoel Le Capitaine

We consider the problem of learning a measure of distance among vectors in a feature space and propose a hybrid method that simultaneously learns from similarity ratings assigned to pairs of vectors and class labels assigned to individual…

Machine Learning · Computer Science 2012-07-02 Yi-Hao Kao , Benjamin Van Roy , Daniel Rubin , Jiajing Xu , Jessica Faruque , Sandy Napel

When training automated systems, it has been shown to be beneficial to adapt the representation of data by learning a problem-specific metric. This metric is global. We extend this idea and, for the widely used family of k nearest neighbors…

Machine Learning · Computer Science 2021-09-30 Jan Philip Göpfert , Heiko Wersing , Barbara Hammer

Metric learning makes it plausible to learn distances for complex distributions of data from labeled data. However, to date, most metric learning methods are based on a single Mahalanobis metric, which cannot handle heterogeneous data well.…

Machine Learning · Statistics 2012-01-04 Caiming Xiong , David Johnson , Ran Xu , Jason J. Corso

Distance metric learning (DML) approaches learn a transformation to a representation space where distance is in correspondence with a predefined notion of similarity. While such models offer a number of compelling benefits, it has been…

Machine Learning · Statistics 2016-03-03 Oren Rippel , Manohar Paluri , Piotr Dollar , Lubomir Bourdev

Similarity/Distance measures play a key role in many machine learning, pattern recognition, and data mining algorithms, which leads to the emergence of metric learning field. Many metric learning algorithms learn a global distance function…

Machine Learning · Computer Science 2022-01-04 Baida Hamdan , Davood Zabihzadeh , Monsefi Reza

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

Existing deep embedding methods in vision tasks are capable of learning a compact Euclidean space from images, where Euclidean distances correspond to a similarity metric. To make learning more effective and efficient, hard sample mining is…

Computer Vision and Pattern Recognition · Computer Science 2016-10-28 Chen Huang , Chen Change Loy , Xiaoou Tang

Metrics specifying distances between data points can be learned in a discriminative manner or from generative models. In this paper, we show how to unify generative and discriminative learning of metrics via a kernel learning framework.…

Machine Learning · Computer Science 2011-09-26 Yuan Shi , Yung-Kyun Noh , Fei Sha , Daniel D. Lee

Traditional text classifiers are limited to predicting over a fixed set of labels. However, in many real-world applications the label set is frequently changing. For example, in intent classification, new intents may be added over time…

Machine Learning · Computer Science 2019-11-05 Jeremy Wohlwend , Ethan R. Elenberg , Samuel Altschul , Shawn Henry , Tao Lei

Clustering in high dimension spaces is a difficult task; the usual distance metrics may no longer be appropriate under the curse of dimensionality. Indeed, the choice of the metric is crucial, and it is highly dependent on the dataset…

Machine Learning · Computer Science 2023-02-14 Simo Alami. C , Rim Kaddah , Jesse Read

Metric learning aims at finding a suitable distance metric over the input space, to improve the performance of distance-based learning algorithms. In high-dimensional settings, it can also serve as dimensionality reduction by imposing a…

Machine Learning · Computer Science 2024-04-16 Efstratios Palias , Ata Kabán

For many optimization problems it is possible to define a distance metric between problem variables that correlates with the likelihood and strength of interactions between the variables. For example, one may define a metric so that the…

Neural and Evolutionary Computing · Computer Science 2012-01-12 Martin Pelikan , Mark W. Hauschild

Distance metric learning has attracted a lot of interest for solving machine learning and pattern recognition problems over the last decades. In this work we present a simple approach based on concepts from statistical physics to learn…

Machine Learning · Computer Science 2021-06-11 Dusan Stosic , Darko Stosic , Teresa B. Ludermir , Borko Stosic

Cook's [J. Roy. Statist. Soc. Ser. B 48 (1986) 133--169] local influence approach based on normal curvature is an important diagnostic tool for assessing local influence of minor perturbations to a statistical model. However, no rigorous…

Statistics Theory · Mathematics 2008-12-18 Hongtu Zhu , Joseph G. Ibrahim , Sikyum Lee , Heping Zhang
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