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The classical linear ordering problem seeks a single ranking representing a given preference matrix. While suitable for homogeneous populations, it fails when observed preferences arise from several latent groups with distinct ranking…

Optimization and Control · Mathematics 2026-05-15 Juan A. Aledo , Concepción Domínguez , Juan de Dios Jaime-Alcántara , Mercedes Landete

Estimating quantum fermionic properties is a computationally difficult yet crucial task for the study of electronic systems. Recent developments have begun to address this challenge by introducing classical shadows protocols relying on…

Quantum Physics · Physics 2024-09-09 Valentin Heyraud , Héloise Chomet , Jules Tilly

We consider the task of assigning unique integers to a group of processes in an asynchronous distributed system of a total of $n$ processes prone to crashes that communicate through shared read-write registers. In the Renaming problem, an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-01 Bogdan S. Chlebus , Dariusz R. Kowalski

The Massively Parallel Computation (MPC) model serves as a common abstraction of many modern large-scale parallel computation frameworks and has recently gained a lot of importance, especially in the context of classic graph problems.…

Data Structures and Algorithms · Computer Science 2018-07-20 Sebastian Brandt , Manuela Fischer , Jara Uitto

Read-only memory model is a classical model of computation to study time-space tradeoffs of algorithms. One of the classical results on the ROM model is that any sorting algorithm that uses O(s) words of extra space requires $\Omega…

Data Structures and Algorithms · Computer Science 2017-11-28 Sankardeep Chakraborty , Anish Mukherjee , Venkatesh Raman , Srinivasa Rao Satti

We consider a revenue-maximizing seller with $n$ items facing a single buyer. We introduce the notion of symmetric menu complexity of a mechanism, which counts the number of distinct options the buyer may purchase, up to permutations of the…

Computer Science and Game Theory · Computer Science 2020-05-08 Pravesh Kothari , Divyarthi Mohan , Ariel Schvartzman , Sahil Singla , S. Matthew Weinberg

We consider the time and space required for quantum computers to solve a wide variety of problems involving matrices, many of which have only been analyzed classically in prior work. Our main results show that for a range of linear algebra…

Computational Complexity · Computer Science 2025-11-03 Paul Beame , Niels Kornerup , Michael Whitmeyer

This paper addresses the mutual visibility problem for a set of semi-synchronous, opaque robots occupying distinct positions in the Euclidean plane. Since robots are opaque, if three robots lie on a line, the middle robot obstructs the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-10 Subhash Bhagat , Krishnendu Mukhopadhyaya

Algorithmic fairness has become a central concern in modern machine learning and AI applications. However, two pressing challenges remain: (1) The fairness guarantees of existing methods often rely on specific data distributional…

Methodology · Statistics 2026-05-14 Xiaotian Hou , Linjun Zhang

In this work, we consider the sparsity-constrained community-based group testing problem, where the population follows a community structure. In particular, the community consists of $F$ families, each with $M$ members. A number $k_f$ out…

Information Theory · Computer Science 2024-03-20 Sarthak Jain , Martina Cardone , Soheil Mohajer

The concern about hidden discrimination in machine learning models is growing, as their widespread real-world applications increasingly impact human lives. Various techniques, including commonly used group fairness measures and several…

Machine Learning · Computer Science 2026-03-12 Yijun Bian

We give an algorithmic and lower-bound framework that facilitates the construction of subexponential algorithms and matching conditional complexity bounds. It can be applied to intersection graphs of similarly-sized fat objects, yielding…

Computational Geometry · Computer Science 2020-12-18 Mark de Berg , Hans L. Bodlaender , Sándor Kisfaludi-Bak , Dániel Marx , Tom C. van der Zanden

Most work in algorithmic fairness to date has focused on discrete outcomes, such as deciding whether to grant someone a loan or not. In these classification settings, group fairness criteria such as independence, separation and sufficiency…

Machine Learning · Computer Science 2020-02-18 Daniel Steinberg , Alistair Reid , Simon O'Callaghan , Finnian Lattimore , Lachlan McCalman , Tiberio Caetano

We consider the problem of learning a Gaussian graphical model in the case where the observations come from two dependent groups sharing the same variables. We focus on a family of coloured Gaussian graphical models specifically suited for…

Machine Learning · Statistics 2024-04-16 Alberto Roverato , Dung Ngoc Nguyen

For many computational problems involving randomness, intricate geometric features of the solution space have been used to rigorously rule out powerful classes of algorithms. This is often accomplished through the lens of the multi Overlap…

Computational Complexity · Computer Science 2023-02-14 David Gamarnik , Eren C. Kızıldağ , Will Perkins , Changji Xu

Strong inductive biases allow children to learn in fast and adaptable ways. Children use the mutual exclusivity (ME) bias to help disambiguate how words map to referents, assuming that if an object has one label then it does not need…

Computation and Language · Computer Science 2020-10-23 Kanishk Gandhi , Brenden M. Lake

We present "Reciprocating Locks", a novel mutual exclusion locking algorithm, targeting cache-coherent shared memory (CC), that enjoys a number of desirable properties. The doorway arrival phase and the release operation both run in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-14 Dave Dice , Alex Kogan

This paper presents the first generic bi-objective binary linear branch-and-cut algorithm. Studying the impact of valid inequalities in solution and objective spaces, two cutting frameworks are proposed. The multi-point separation problem…

Discrete Mathematics · Computer Science 2024-10-14 Pierre Fouilhoux , Lucas Létocart , Yue Zhang

The success of modern parallel paradigms such as MapReduce, Hadoop, or Spark, has attracted a significant attention to the Massively Parallel Computation (MPC) model over the past few years, especially on graph problems. In this work, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-07 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Richard M. Karp

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

Computer Science and Game Theory · Computer Science 2016-08-03 Elliot Anshelevich , Shreyas Sekar