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This study investigates the trade-offs between fairness, privacy, and utility in image classification using machine learning (ML). Recent research suggests that generalization techniques can improve the balance between privacy and utility.…

Machine Learning · Computer Science 2024-12-17 Ahmad Hassanpour , Amir Zarei , Khawla Mallat , Anderson Santana de Oliveira , Bian Yang

Data-driven algorithms can adapt their internal structure or parameters to inputs from unknown application-specific distributions, by learning from a training sample of inputs. Several recent works have applied this approach to problems in…

Machine Learning · Computer Science 2022-06-17 Peter Bartlett , Piotr Indyk , Tal Wagner

The concepts of overfitting and generalization are vital for evaluating machine learning models. In this work, we show that the popular Recall@K metric depends on the number of classes in the dataset, which limits its ability to estimate…

Machine Learning · Computer Science 2023-06-26 Maksim Zhdanov , Ivan Karpukhin

An earlier introduced characterization of nonuniform learnability that allows the sample size to depend on the hypothesis to which the learner is compared has been redefined using the measure theoretic approach. Where nonuniform…

Machine Learning · Computer Science 2020-11-03 Ankit Bandyopadhyay

Traditional statistical learning theory relies on the assumption that data are identically and independently distributed (i.i.d.). However, this assumption often does not hold in many real-life applications. In this survey, we explore…

Machine Learning · Computer Science 2024-04-09 Rui-Ray Zhang , Massih-Reza Amini

Recent advances in deep learning theory have evoked the study of generalizability across different local minima of deep neural networks (DNNs). While current work focused on either discovering properties of good local minima or developing…

Machine Learning · Computer Science 2020-07-01 Zhiwei Jia , Hao Su

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

We study the generalization properties of stochastic gradient methods for learning with convex loss functions and linearly parameterized functions. We show that, in the absence of penalizations or constraints, the stability and…

Machine Learning · Computer Science 2016-05-27 Junhong Lin , Raffaello Camoriano , Lorenzo Rosasco

Deep Metric Learning (DML) is arguably one of the most influential lines of research for learning visual similarities with many proposed approaches every year. Although the field benefits from the rapid progress, the divergence in training…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Karsten Roth , Timo Milbich , Samarth Sinha , Prateek Gupta , Björn Ommer , Joseph Paul Cohen

Transductive learning considers situations when a learner observes $m$ labelled training points and $u$ unlabelled test points with the final goal of giving correct answers for the test points. This paper introduces a new complexity measure…

Machine Learning · Statistics 2016-02-24 Ilya Tolstikhin , Nikita Zhivotovskiy , Gilles Blanchard

Generalization is one of the fundamental issues in machine learning. However, traditional techniques like uniform convergence may be unable to explain generalization under overparameterization. As alternative approaches, techniques based on…

Machine Learning · Computer Science 2022-03-22 Jiaye Teng , Jianhao Ma , Yang Yuan

We study inductive matrix completion (matrix completion with side information) under an i.i.d. subgaussian noise assumption at a low noise regime, with uniform sampling of the entries. We obtain for the first time generalization bounds with…

Machine Learning · Computer Science 2022-12-19 Antoine Ledent , Rodrigo Alves , Yunwen Lei , Yann Guermeur , Marius Kloft

We study a family of sparse estimators defined as minimizers of some empirical Lipschitz loss function -- which include the hinge loss, the logistic loss and the quantile regression loss -- with a convex, sparse or group-sparse…

Machine Learning · Statistics 2021-09-23 Antoine Dedieu

Metric learning from a set of triplet comparisons in the form of "Do you think item h is more similar to item i or item j?", indicating similarity and differences between items, plays a key role in various applications including image…

Machine Learning · Statistics 2025-08-07 Gokcan Tatli , Yi Chen , Blake Mason , Robert Nowak , Ramya Korlakai Vinayak

We provide an information-theoretic framework for studying the generalization properties of machine learning algorithms. Our framework ties together existing approaches, including uniform convergence bounds and recent methods for adaptive…

Machine Learning · Computer Science 2020-06-22 Thomas Steinke , Lydia Zakynthinou

In statistical learning theory, a generalization bound usually involves a complexity measure imposed by the considered theoretical framework. This limits the scope of such bounds, as other forms of capacity measures or regularizations are…

Machine Learning · Statistics 2024-02-22 Paul Viallard , Rémi Emonet , Amaury Habrard , Emilie Morvant , Valentina Zantedeschi

To operate intelligently in domestic environments, robots require the ability to understand arbitrary spatial relations between objects and to generalize them to objects of varying sizes and shapes. In this work, we present a novel…

Robotics · Computer Science 2019-07-02 Philipp Jund , Andreas Eitel , Nichola Abdo , Wolfram Burgard

We study the generalization of over-parameterized deep networks (for image classification) in relation to the convex hull of their training sets. Despite their great success, generalization of deep networks is considered a mystery. These…

Machine Learning · Computer Science 2022-03-22 Roozbeh Yousefzadeh

We propose a neural network-based approach that computes a stable and generalizing metric (LSiM) to compare data from a variety of numerical simulation sources. We focus on scalar time-dependent 2D data that commonly arises from motion and…

Machine Learning · Computer Science 2021-01-29 Georg Kohl , Kiwon Um , Nils Thuerey

We examine the relationship between the mutual information between the output model and the empirical sample and the generalization of the algorithm in the context of stochastic convex optimization. Despite increasing interest in…

Machine Learning · Computer Science 2024-01-17 Roi Livni