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This paper considers the problem of maximizing multiple linear functions over the probability simplex. A classification of feasible points is indicated. A necessary and sufficient condition for a member of each class to be an efficient…

Optimization and Control · Mathematics 2024-12-30 Anas Mifrani

A variety of large-scale machine learning problems can be cast as instances of constrained submodular maximization. Existing approaches for distributed submodular maximization have a critical drawback: The capacity - number of instances…

Machine Learning · Statistics 2016-06-01 Mario Lucic , Olivier Bachem , Morteza Zadimoghaddam , Andreas Krause

Advances in machine learning have produced systems that attain human-level performance on certain visual tasks, e.g., object identification. Nonetheless, other tasks requiring visual expertise are unlikely to be entrusted to machines for…

Human-Computer Interaction · Computer Science 2016-12-28 Ronald T. Kneusel , Michael C. Mozer

Many real life optimization problems contain both hard and soft constraints, as well as qualitative conditional preferences. However, there is no single formalism to specify all three kinds of information. We therefore propose a framework,…

Artificial Intelligence · Computer Science 2009-05-26 Carmel Domshlak , Francesca Rossi , Kristen Brent Venable , Toby Walsh

Bilevel learning refers to machine learning problems that can be formulated as bilevel optimization models, where decisions are organized in a hierarchical structure. This paradigm has recently gained considerable attention in machine…

Optimization and Control · Mathematics 2026-05-05 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo , Alain Zemkoho

In this paper we consider a class of optimization problems with a strongly convex objective function and the feasible set given by an intersection of a simple convex set with a set given by a number of linear equality and inequality…

Optimization and Control · Mathematics 2016-05-11 Alexey Chernov , Pavel Dvurechensky , Alexander Gasnikov

As the prevalence and everyday use of machine learning algorithms, along with our reliance on these algorithms grow dramatically, so do the efforts to attack and undermine these algorithms with malicious intent, resulting in a growing…

Machine Learning · Statistics 2018-02-22 Christopher Frederickson , Michael Moore , Glenn Dawson , Robi Polikar

For many practical problems, the regression models follow the strong heredity property (also known as the marginality), which means they include parent main effects when a second-order effect is present. Existing methods rely mostly on…

Methodology · Statistics 2020-07-28 Kedong Chen , William Li , Sijian Wang

There has been great interest in fairness in machine learning, especially in relation to classification problems. In ranking-related problems, such as in online advertising, recommender systems, and HR automation, much work on fairness…

Machine Learning · Computer Science 2025-04-21 Andrii Kliachkin , Eleni Psaroudaki , Jakub Marecek , Dimitris Fotakis

Real-world problems typically require the simultaneous optimization of several, often conflicting objectives. Many of these multi-objective optimization problems are characterized by wide ranges of uncertainties in their decision variables…

Neural and Evolutionary Computing · Computer Science 2019-10-21 Faramarz Khosravi , Alexander Raß , Jürgen Teich

A subgradient method is presented for solving general convex optimization problems, the main requirement being that a strictly-feasible point is known. A feasible sequence of iterates is generated, which converges to within user-specified…

Optimization and Control · Mathematics 2016-05-30 James Renegar

Decentralized optimization is a common paradigm used in distributed signal processing and sensing as well as privacy-preserving and large-scale machine learning. It is assumed that several computational entities locally hold objective…

Optimization and Control · Mathematics 2023-01-12 Alexander Rogozin , Demyan Yarmoshik , Ksenia Kopylova , Alexander Gasnikov

The last few years has seen a growing debate about techniques for managing uncertainty in AI systems. Unfortunately this debate has been cast as a rivalry between AI methods and classical probability based ones. Three arguments for…

Artificial Intelligence · Computer Science 2013-04-15 John Fox

While statistics and machine learning offers numerous methods for ensuring generalization, these methods often fail in the presence of adaptivity---the common practice in which the choice of analysis depends on previous interactions with…

Machine Learning · Computer Science 2018-06-19 Kobbi Nissim , Adam Smith , Thomas Steinke , Uri Stemmer , Jonathan Ullman

Building on the view of machine learning as search, we demonstrate the necessity of bias in learning, quantifying the role of bias (measured relative to a collection of possible datasets, or more generally, information resources) in…

Machine Learning · Computer Science 2019-07-16 George D. Montanez , Jonathan Hayase , Julius Lauw , Dominique Macias , Akshay Trikha , Julia Vendemiatti

Earlier work on machine learning for automated reasoning mostly relied on simple, syntactic features combined with sophisticated learning techniques. Using ideas adopted in the software verification community, we propose the investigation…

Logic in Computer Science · Computer Science 2020-01-15 Sarah Winkler , Georg Moser

As large language models have evolved, it has become crucial to distinguish between process supervision and outcome supervision -- two key reinforcement learning approaches to complex reasoning tasks. While process supervision offers…

Machine Learning · Computer Science 2025-03-28 Zeyu Jia , Alexander Rakhlin , Tengyang Xie

Weakly supervised data are widespread and have attracted much attention. However, since label quality is often difficult to guarantee, sometimes the use of weakly supervised data will lead to unsatisfactory performance, i.e., performance…

Machine Learning · Computer Science 2019-04-23 Lan-Zhe Guo , Yu-Feng Li , Ming Li , Jin-Feng Yi , Bo-Wen Zhou , Zhi-Hua Zhou

We consider training probabilistic classifiers in the case of a large number of classes. The number of classes is assumed too large to perform exact normalisation over all classes. To account for this we consider a simple approach that…

Machine Learning · Statistics 2016-07-08 David Barber , Aleksandar Botev

With the tremendous success of deep learning in visual tasks, the representations extracted from intermediate layers of learned models, that is, deep features, attract much attention of researchers. Previous empirical analysis shows that…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Qi Qian , Juhua Hu , Hao Li
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