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This paper investigates the robustness of over-the-air federated learning to Byzantine attacks. The simple averaging of the model updates via over-the-air computation makes the learning task vulnerable to random or intended modifications of…

Machine Learning · Computer Science 2022-06-24 Houssem Sifaou , Geoffrey Ye Li

In robust combinatorial optimization, we would like to find a solution that performs well under all realizations of an uncertainty set of possible parameter values. How we model this uncertainty set has a decisive influence on the…

Optimization and Control · Mathematics 2024-04-30 Marc Goerigk , Mohammad Khosravi

We provide the first protocol that solves Byzantine agreement with optimal early stopping ($\min\{f+2,t+1\}$ rounds) and optimal resilience ($n>3t$) using polynomial message size and computation. All previous approaches obtained sub-optimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-16 Ittai Abraham , Danny Dolev

We consider the class of packing integer programs (PIPs) that are column sparse, i.e. there is a specified upper bound k on the number of constraints that each variable appears in. We give an (ek+o(k))-approximation algorithm for k-column…

Data Structures and Algorithms · Computer Science 2015-05-13 Nikhil Bansal , Nitish Korula , Viswanath Nagarajan , Aravind Srinivasan

In this paper we consider two variants of the Secretary problem: The Best-or-Worst and the Postdoc problems. We extend previous work by considering that the number of objects is not known and follows either a discrete Uniform distribution…

Probability · Mathematics 2018-11-13 L. Bayon , P. Fortuny , J. M. Grau , M. M Ruiz , M. A. Oller-Marcen

We consider integer and linear programming problems for which the linear constraints exhibit a (recursive) block-structure: The problem decomposes into independent and efficiently solvable sub-problems if a small number of constraints is…

Computational Complexity · Computer Science 2020-08-04 Jana Cslovjecsek , Friedrich Eisenbrand , Christoph Hunkenschröder , Lars Rohwedder , Robert Weismantel

Byzantine reliable broadcast is a fundamental problem in distributed computing, which has been studied extensively over the past decades. State-of-the-art algorithms are predominantly based on the approach to share encoded fragments of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-06 Thomas Locher

We give the first approximation algorithm for mixed packing and covering semidefinite programs (SDPs) with polylogarithmic dependence on width. Mixed packing and covering SDPs constitute a fundamental algorithmic primitive with recent…

Data Structures and Algorithms · Computer Science 2021-07-13 Arun Jambulapati , Yin Tat Lee , Jerry Li , Swati Padmanabhan , Kevin Tian

Byzantine-robust federated learning aims at mitigating Byzantine failures during the federated training process, where malicious participants may upload arbitrary local updates to the central server to degrade the performance of the global…

Machine Learning · Computer Science 2023-02-15 Shenghui Li , Edith C. -H. Ngai , Thiemo Voigt

We consider online resource allocation problems where given a set of requests our goal is to select a subset that maximizes a value minus cost type of objective function. Requests are presented online in random order, and each request…

Data Structures and Algorithms · Computer Science 2011-12-07 Siddharth Barman , Seeun Umboh , Shuchi Chawla , David Malec

This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

Optimization and Control · Mathematics 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou

We study the classic single-choice prophet inequality problem through a resource augmentation lens. Our goal is to bound the $(1-\varepsilon)$-competition complexity of different types of online algorithms. This metric asks for the smallest…

Computer Science and Game Theory · Computer Science 2024-02-23 Johannes Brustle , José Correa , Paul Dütting , Tomer Ezra , Michal Feldman , Victor Verdugo

We study the success probability for a variant of the secretary problem, with noisy observations and multiple offline selection. Our formulation emulates, and is motivated by, problems involving noisy selection arising in the disciplines of…

Optimization and Control · Mathematics 2021-06-11 Robert Chin , Jonathan E. Rowe , Iman Shames , Chris Manzie , Dragan Nešić

In Mixed Integer Linear Programming (MIP), a (strong) backdoor is a "small" subset of an instance's integer variables with the following property: in a branch-and-bound procedure, the instance can be solved to global optimality by branching…

Artificial Intelligence · Computer Science 2022-07-11 Elias B. Khalil , Pashootan Vaezipoor , Bistra Dilkina

We study a robust extensible bin packing problem with budgeted uncertainty, under a budgeted uncertainty model where item sizes are defined to lie in the intersection of a box with a one-norm ball. We propose a scenario generation algorithm…

Discrete Mathematics · Computer Science 2025-10-29 Noam Goldberg , Michael Poss , Yariv Marmor

Binary (0-1) integer programming (BIP) is pivotal in scientific domains requiring discrete decision-making. As the advance of AI computing, recent works explore neural network-based solvers for integer linear programming (ILP) problems.…

Machine Learning · Computer Science 2025-05-28 Sen Bai , Chunqi Yang , Xin Bai , Xin Zhang , Zhengang Jiang

This paper considers the problem of Byzantine fault tolerance in distributed linear regression in a multi-agent system. However, the proposed algorithms are given for a more general class of distributed optimization problems, of which…

Machine Learning · Computer Science 2019-04-05 Nirupam Gupta , Nitin H. Vaidya

Conflict learning algorithms are an important component of modern MIP and CP solvers. But strong conflict information is typically gained by depth-first search. While this is the natural mode for CP solving, it is not for MIP solving. Rapid…

Optimization and Control · Mathematics 2019-02-08 Timo Berthold , Peter J. Stuckey , Jakob Witzig

Robustness to Byzantine attacks is a necessity for various distributed training scenarios. When the training reduces to the process of solving a minimization problem, Byzantine robustness is relatively well-understood. However, other…

Navigating rigid body objects through crowded environments can be challenging, especially when narrow passages are presented. Existing sampling-based planners and optimization-based methods like mixed integer linear programming (MILP)…

Robotics · Computer Science 2024-09-19 Mingxin Yu , Chuchu Fan