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In this paper, we make the key delineation on the roles of resolution and statistical uncertainty in hierarchical bandits-based black-box optimization algorithms, guiding a more general analysis and a more efficient algorithm design. We…

Machine Learning · Statistics 2023-06-01 Wenjie Li , Chi-Hua Wang , Guang Cheng , Qifan Song

Algorithm evaluation and comparison are fundamental questions in machine learning and statistics -- how well does an algorithm perform at a given modeling task, and which algorithm performs best? Many methods have been developed to assess…

Statistics Theory · Mathematics 2025-11-25 Yuetian Luo , Rina Foygel Barber

We investigate three related and important problems connected to machine learning: approximating a submodular function everywhere, learning a submodular function (in a PAC-like setting [53]), and constrained minimization of submodular…

Data Structures and Algorithms · Computer Science 2013-11-12 Rishabh Iyer , Stefanie Jegelka , Jeff Bilmes

In this article we present an Elitism Levels Traverse Mechanism that we designed to find bounds on population-based Evolutionary algorithms solving unimodal functions. We prove its efficiency theoretically and test it on OneMax function…

Neural and Evolutionary Computing · Computer Science 2012-04-03 Aram Ter-Sarkisov

Designing optimisation algorithms that perform well in general requires experimentation on a range of diverse problems. Training neural networks is an optimisation task that has gained prominence with the recent successes of deep learning.…

Neural and Evolutionary Computing · Computer Science 2022-09-07 Katherine M. Malan , Christopher W. Cleghorn

Benchmarking plays an important role in the development of novel search algorithms as well as for the assessment and comparison of contemporary algorithmic ideas. This paper presents common principles that need to be taken into account when…

Neural and Evolutionary Computing · Computer Science 2018-10-08 Michael Hellwig , Hans-Georg Beyer

We consider the problem of black-box function optimization over the boolean hypercube. Despite the vast literature on black-box function optimization over continuous domains, not much attention has been paid to learning models for…

In blackbox optimization, evaluation of the objective and constraint functions is time consuming. In some situations, constraint values may be evaluated independently or sequentially. The present work proposes and compares two strategies to…

Optimization and Control · Mathematics 2021-11-30 Stéphane Alarie , Charles Audet , Paulin Jacquot , Sébastien Le Digabel

Constraining Beyond the Standard Model theories usually involves scanning highly multi-dimensional parameter spaces and check observable predictions against experimental bounds and theoretical constraints. Such task is often timely and…

High Energy Physics - Phenomenology · Physics 2023-02-08 Fernando Abreu de Souza , Miguel Crispim Romão , Nuno Filipe Castro , Mehraveh Nikjoo , Werner Porod

There is a long history in machine learning of model ensembling, beginning with boosting and bagging and continuing to the present day. Much of this history has focused on combining models for classification and regression, but recently…

Machine Learning · Computer Science 2024-05-28 Ira Globus-Harris , Varun Gupta , Michael Kearns , Aaron Roth

Research on new optimization algorithms is often funded based on the motivation that such algorithms might improve the capabilities to deal with real-world and industrially relevant optimization challenges. Besides a huge variety of…

Neural and Evolutionary Computing · Computer Science 2020-07-02 Ramses Sala , Ralf Müller

This contribution examines optimization problems that involve stochastic dominance constraints. These problems have uncountably many constraints. We develop methods to solve the optimization problem by reducing the constraints to a finite…

Optimization and Control · Mathematics 2025-02-27 Rajmadan Lakshmanan , Alois Pichler , Miloš Kopa

Mixed-integer (MI) quadratic models subject to quadratic constraints, known as All-Quadratic MI Programs, constitute a challenging class of NP-complete optimization problems. The particular scenario of unbounded integers defines a subclass…

Optimization and Control · Mathematics 2025-09-16 Guy Zepko , Ofer M. Shir

Many machine learning approaches are characterized by information constraints on how they interact with the training data. These include memory and sequential access constraints (e.g. fast first-order methods to solve stochastic…

Machine Learning · Computer Science 2014-10-29 Ohad Shamir

Cumulative memory -- the sum of space used per step over the duration of a computation -- is a fine-grained measure of time-space complexity that was introduced to analyze cryptographic applications like password hashing. It is a more…

Computational Complexity · Computer Science 2023-07-06 Paul Beame , Niels Kornerup

What should regulators of complex algorithms regulate? We propose a model of oversight over 'black-box' algorithms used in high-stakes applications such as lending, medical testing, or hiring. In our model, a regulator is limited in how…

General Economics · Economics 2024-06-04 Laura Blattner , Scott Nelson , Jann Spiess

Submodular optimization generalizes many classic problems in combinatorial optimization and has recently found a wide range of applications in machine learning (e.g., feature engineering and active learning). For many large-scale…

Data Structures and Algorithms · Computer Science 2023-04-11 Matthew Fahrbach , Vahab Mirrokni , Morteza Zadimoghaddam

We suggest analyzing neural networks through the prism of space constraints. We observe that most training algorithms applied in practice use bounded memory, which enables us to use a new notion introduced in the study of space-time…

Machine Learning · Computer Science 2017-03-03 Michal Moshkovitz , Naftali Tishby

Evolutionary algorithms (EAs) are general-purpose optimisers that come with several parameters like the sizes of parent and offspring populations or the mutation rate. It is well known that the performance of EAs may depend drastically on…

Neural and Evolutionary Computing · Computer Science 2022-10-13 Mario Alejandro Hevia Fajardo , Dirk Sudholt

Classically, a mainstream approach for solving a convex-concave min-max problem is to instead solve the variational inequality problem arising from its first-order optimality conditions. Is it possible to solve min-max problems faster by…

Optimization and Control · Mathematics 2025-11-06 Henry Shugart , Jason M. Altschuler