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Related papers: Robust Mahalanobis Metric Learning via Geometric A…

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This paper is concerned with computationally efficient learning of homogeneous sparse halfspaces in $\mathbb{R}^d$ under noise. Though recent works have established attribute-efficient learning algorithms under various types of label noise…

Machine Learning · Statistics 2021-03-03 Jie Shen , Chicheng Zhang

Deep Metric Learning (DML) plays a critical role in various machine learning tasks. However, most existing deep metric learning methods with binary similarity are sensitive to noisy labels, which are widely present in real-world data. Since…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Jiexi Yan , Lei Luo , Cheng Deng , Heng Huang

Metric learning algorithms aim to learn a distance function that brings the semantically similar data items together and keeps dissimilar ones at a distance. The traditional Mahalanobis distance learning is equivalent to find a linear…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Karrar Al-Kaabi , Reza Monsefi , Davood Zabihzadeh

In this paper, we consider unsupervised partitioning problems, such as clustering, image segmentation, video segmentation and other change-point detection problems. We focus on partitioning problems based explicitly or implicitly on the…

Machine Learning · Computer Science 2013-03-07 Rémi Lajugie , Sylvain Arlot , Francis Bach

Most of the approaches proposed so far to craft targeted adversarial examples against Deep Learning classifiers are highly suboptimal and typically rely on increasing the likelihood of the target class, thus implicitly focusing on one-hot…

Machine Learning · Computer Science 2025-08-18 Benedetta Tondi , Wei Guo , Niccolò Pancino , Mauro Barni

Long-tailed learning has attracted much attention recently, with the goal of improving generalisation for tail classes. Most existing works use supervised learning without considering the prevailing noise in the training dataset. To move…

Machine Learning · Computer Science 2021-08-27 Tong Wei , Jiang-Xin Shi , Wei-Wei Tu , Yu-Feng Li

We study the problem of learning adversarially robust halfspaces in the distribution-independent setting. In the realizable setting, we provide necessary and sufficient conditions on the adversarial perturbation sets under which halfspaces…

Machine Learning · Computer Science 2020-05-18 Omar Montasser , Surbhi Goel , Ilias Diakonikolas , Nathan Srebro

This paper proposes a boosting-based solution addressing metric learning problems for high-dimensional data. Distance measures have been used as natural measures of (dis)similarity and served as the foundation of various learning methods.…

Machine Learning · Statistics 2015-12-11 Yuting Ma , Tian Zheng

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

In this paper, we aim to solve the automatic playlist continuation (APC) problem by modeling complex interactions among users, playlists, and songs using only their interaction data. Prior methods mainly rely on dot product to account for…

Information Retrieval · Computer Science 2019-06-11 Thanh Tran , Renee Sweeney , Kyumin Lee

We give the first fully polynomial-time algorithm for learning halfspaces with respect to the uniform distribution on the hypercube in the presence of contamination, where an adversary may corrupt some fraction of examples and labels…

Data Structures and Algorithms · Computer Science 2025-11-11 Gautam Chandrasekaran , Adam R. Klivans , Konstantinos Stavropoulos , Arsen Vasilyan

The learning of appropriate distance metrics is a critical problem in image classification and retrieval. In this work, we propose a boosting-based technique, termed \BoostMetric, for learning a Mahalanobis distance metric. One of the…

Computer Vision and Pattern Recognition · Computer Science 2009-10-14 Chunhua Shen , Junae Kim , Lei Wang , Anton van den Hengel

Distance metric learning has attracted much attention in recent years, where the goal is to learn a distance metric based on user feedback. Conventional approaches to metric learning mainly focus on learning the Mahalanobis distance metric…

Machine Learning · Computer Science 2020-11-10 Zhongfang Zhuang , Xiangnan Kong , Elke Rundensteiner , Jihane Zouaoui , Aditya Arora

We provide algorithms for isotonic regression minimizing $L_0$ error (Hamming distance). This is also known as monotonic relabeling, and is applicable when labels have a linear ordering but not necessarily a metric. There may be…

Data Structures and Algorithms · Computer Science 2022-06-14 Quentin F. Stout

We study the task of testable learning of general -- not necessarily homogeneous -- halfspaces with adversarial label noise with respect to the Gaussian distribution. In the testable learning framework, the goal is to develop a…

Machine Learning · Computer Science 2024-09-02 Ilias Diakonikolas , Daniel M. Kane , Sihan Liu , Nikos Zarifis

We provide efficient replicable algorithms for the problem of learning large-margin halfspaces. Our results improve upon the algorithms provided by Impagliazzo, Lei, Pitassi, and Sorrell [STOC, 2022]. We design the first…

Machine Learning · Computer Science 2025-10-15 Alkis Kalavasis , Amin Karbasi , Kasper Green Larsen , Grigoris Velegkas , Felix Zhou

For many data mining and machine learning tasks, the quality of a similarity measure is the key for their performance. To automatically find a good similarity measure from datasets, metric learning and similarity learning are proposed and…

Machine Learning · Computer Science 2021-04-16 Dezhong Yao , Peilin Zhao , Chen Yu , Hai Jin , Bin Li

We consider the problem of training a model under the presence of label noise. Current approaches identify samples with potentially incorrect labels and reduce their influence on the learning process by either assigning lower weights to…

Machine Learning · Computer Science 2019-06-04 Duc Tam Nguyen , Thi-Phuong-Nhung Ngo , Zhongyu Lou , Michael Klar , Laura Beggel , Thomas Brox

We study the efficient learnability of geometric concept classes - specifically, low-degree polynomial threshold functions (PTFs) and intersections of halfspaces - when a fraction of the data is adversarially corrupted. We give the first…

Machine Learning · Computer Science 2017-07-06 Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

Mahalanobis metrics are widely used in machine learning in conjunction with methods like $k$-nearest neighbors, $k$-means clustering, and $k$-medians clustering. Despite their importance, there has not been any prior work on applying…

Machine Learning · Computer Science 2024-01-02 Lianke Qin , Aravind Reddy , Zhao Song