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Metric learning has attracted a lot of interest over the last decade, but the generalization ability of such methods has not been thoroughly studied. In this paper, we introduce an adaptation of the notion of algorithmic robustness…

Machine Learning · Computer Science 2019-01-25 Aurélien Bellet , Amaury Habrard

We derive generalization bounds for learning algorithms based on their robustness: the property that if a testing sample is "similar" to a training sample, then the testing error is close to the training error. This provides a novel…

Machine Learning · Computer Science 2015-03-17 Huan Xu , Shie Mannor

We consider the problem of classification using similarity/distance functions over data. Specifically, we propose a framework for defining the goodness of a (dis)similarity function with respect to a given learning task and propose…

Machine Learning · Computer Science 2015-03-19 Purushottam Kar , Prateek Jain

Robustness and generalization ability of machine learning models are of utmost importance in various application domains. There is a wide interest in efficient ways to analyze those properties. One important direction is to analyze…

Machine Learning · Computer Science 2025-04-29 Khoat Than , Dat Phan , Giang Vu

Robustness of neural networks has recently attracted a great amount of interest. The many investigations in this area lack a precise common foundation of robustness concepts. Therefore, in this paper, we propose a rigorous and flexible…

Machine Learning · Computer Science 2021-06-01 Alessandro Tibo , Manfred Jaeger , Kim G. Larsen

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

Learning an appropriate (dis)similarity function from the available data is a central problem in machine learning, since the success of many machine learning algorithms critically depends on the choice of a similarity function to compare…

Machine Learning · Computer Science 2013-08-30 Zheng-Chu Guo , Yiming Ying

Learning classifiers that are robust to adversarial examples has received a great deal of recent attention. A major drawback of the standard robust learning framework is there is an artificial robustness radius $r$ that applies to all…

Machine Learning · Computer Science 2023-01-19 Robi Bhattacharjee , Kamalika Chaudhuri

Similarity-based method gives rise to a new class of methods for multi-label learning and also achieves promising performance. In this paper, we generalize this method, resulting in a new framework for classification task. Specifically, we…

Machine Learning · Computer Science 2022-03-08 Zhongchen Ma , Songcan Chen

In most practical applications of reinforcement learning, it is untenable to maintain direct estimates for individual states; in continuous-state systems, it is impossible. Instead, researchers often leverage state similarity (whether…

Machine Learning · Computer Science 2021-02-03 Charline Le Lan , Marc G. Bellemare , Pablo Samuel Castro

The reliability of a learning model is key to the successful deployment of machine learning in various applications. However, it is difficult to describe the phenomenon due to the complicated nature of the problems in machine learning. It…

Machine Learning · Computer Science 2025-05-27 Ramin Barati , Reza Safabakhsh , Mohammad Rahmati

While metric and similarity learning has been extensively studied from several theoretical perspectives, a rigorous understanding of its generalization performance is still lacking. In this paper, we investigate the generalization behavior…

Machine Learning · Statistics 2026-05-19 Junyu Zhou , Puyu Wang , Ding-Xuan Zhou

Recently, metric learning and similarity learning have attracted a large amount of interest. Many models and optimisation algorithms have been proposed. However, there is relatively little work on the generalization analysis of such…

Machine Learning · Computer Science 2013-03-19 Qiong Cao , Zheng-Chu Guo , Yiming Ying

We address the problem of general supervised learning when data can only be accessed through an (indefinite) similarity function between data points. Existing work on learning with indefinite kernels has concentrated solely on…

Machine Learning · Computer Science 2012-10-23 Purushottam Kar , Prateek Jain

Supervised learning is all about the ability to generalize knowledge. Specifically, the goal of the learning is to train a classifier using training data, in such a way that it will be capable of classifying new unseen data correctly. In…

Machine Learning · Computer Science 2011-04-04 Ido Ginodi , Amir Globerson

Ensuring algorithmic fairness remains a significant challenge in machine learning, particularly as models are increasingly applied across diverse domains. While numerous fairness criteria exist, they often lack generalizability across…

Machine Learning · Computer Science 2025-11-04 Zhecheng Sheng , Jiawei Zhang , Enmao Diao

Fair classification has been a topic of intense study in machine learning, and several algorithms have been proposed towards this important task. However, in a recent study, Friedler et al. observed that fair classification algorithms may…

Machine Learning · Computer Science 2020-09-10 Lingxiao Huang , Nisheeth K. Vishnoi

A key challenge facing deep learning is that neural networks are often not robust to shifts in the underlying data distribution. We study this problem from the perspective of the statistical concept of parameter identification.…

Machine Learning · Computer Science 2022-02-18 Kan Xu , Hamsa Bastani , Osbert Bastani

Providing generalization guarantees for stochastic optimization algorithms remains a key challenge in learning theory. Recently, numerous works demonstrated the impact of the geometric properties of optimization trajectories on…

Machine Learning · Computer Science 2026-01-23 Mario Tuci , Lennart Bastian , Benjamin Dupuis , Nassir Navab , Tolga Birdal , Umut Şimşekli

Adversarial training has been shown to be reliable in improving robustness against adversarial samples. However, the problem of adversarial training in terms of fairness has not yet been properly studied, and the relationship between…

Machine Learning · Computer Science 2023-04-04 Junyi Chai , Xiaoqian Wang
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