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We consider the problem of allocating divisible items among multiple agents, and consider the setting where any agent is allowed to introduce diversity constraints on the items they are allocated. We motivate this via settings where the…

Computer Science and Game Theory · Computer Science 2021-10-01 Zeyu Shen , Lodewijk Gelauff , Ashish Goel , Aleksandra Korolova , Kamesh Munagala

Submodular function optimization has numerous applications in machine learning and data analysis, including data summarization which aims to identify a concise and diverse set of data points from a large dataset. It is important to…

Data Structures and Algorithms · Computer Science 2023-04-11 Shaojie Tang , Jing Yuan , Twumasi Mensah-Boateng

Maximizing a submodular function has a wide range of applications in machine learning and data mining. One such application is data summarization whose goal is to select a small set of representative and diverse data items from a large…

Machine Learning · Computer Science 2023-03-10 Jing Yuan , Shaojie Tang

We study the problem of fair $k$-committee selection under an egalitarian objective. Given $n$ agents partitioned into $m$ groups (\eg, demographic quotas), the goal is to aggregate their preferences to form a committee of size $k$ that…

Data Structures and Algorithms · Computer Science 2026-01-01 Ameet Gadekar , Aristides Gionis , Suhas Thejaswi , Sijing Tu

Participatory budgeting (PB) has attracted much attention in recent times due to its wide applicability in social choice settings. In this paper, we consider indivisible PB which involves allocating an available, limited budget to a set of…

Computer Science and Game Theory · Computer Science 2022-07-19 Gogulapati Sreedurga , Yadati Narahari

Selecting a set of alternatives based on the preferences of agents is an important problem in committee selection and beyond. Among the various criteria put forth for the desirability of a committee, Pareto optimality is a minimal and…

Computer Science and Game Theory · Computer Science 2018-03-20 Haris Aziz , Jerome Lang , Jerome Monnot

Many companies now use crowdsourcing to leverage external (as well as internal) crowds to perform specialized work, and so methods of improving efficiency are critical. Tasks in crowdsourcing systems with specialized work have multiple…

Multiagent Systems · Computer Science 2016-01-19 Avhishek Chatterjee , Michael Borokhovich , Lav R. Varshney , Sriram Vishwanath

Recommender systems recommend objects regardless of potential adverse effects of their overcrowding. We address this shortcoming by introducing crowd-avoiding recommendation where each object can be shared by only a limited number of users…

Physics and Society · Physics 2013-06-18 Stanislao Gualdi , Matus Medo , Yi-Cheng Zhang

The Column Subset Selection Problem provides a natural framework for unsupervised feature selection. Despite being a hard combinatorial optimization problem, there exist efficient algorithms that provide good approximations. The drawback of…

Machine Learning · Computer Science 2018-04-13 Bruno Ordozgoiti , Alberto Mozo , Jesús García López de Lacalle

Hard instances of natural computational problems are often elusive. In this note we present an example of a natural decision problem, the word problem for a certain finitely presented group, whose hard instances are easy to find. More…

Computational Complexity · Computer Science 2016-02-09 Robert H Gilman

When agents are acting together, they may need a simple mechanism to decide on joint actions. One possibility is to have the agents express their preferences in the form of a ballot and use a voting rule to decide the winning action(s).…

Artificial Intelligence · Computer Science 2012-04-18 Toby Walsh

Selecting a cohort from a set of candidates is a common task within and beyond academia. Admitting students, awarding grants, choosing speakers for a conference are situations where human biases may affect the make-up of the final cohort.…

Computers and Society · Computer Science 2019-05-10 D. Huppenkothen , B. McFee , L. Norén

This paper presents a pseudo-spectral method for Dynamic Optimization Problems (DOPs) that allows for tight polynomial bounds to be achieved via flexible sub-intervals. The proposed method not only rigorously enforces inequality…

Optimization and Control · Mathematics 2026-04-08 Eduardo M. G. Vila , Eric C. Kerrigan , Paul Bruce

In many submodular optimization applications, datasets are naturally partitioned into disjoint subsets. These scenarios give rise to submodular optimization problems with partition-based constraints, where the desired solution set should be…

Data Structures and Algorithms · Computer Science 2026-01-21 Wenjing Chen , Yixin Chen , Victoria G. Crawford

Group fairness is an important concern for machine learning researchers, developers, and regulators. However, the strictness to which models must be constrained to be considered fair is still under debate. The focus of this work is on…

Machine Learning · Statistics 2018-11-27 Jack Fitzsimons , Michael Osborne , Stephen Roberts

Many high-stakes decisions in health care, public policy, and clinical development require committing to a single policy that will be applied uniformly across a heterogeneous population. Regulatory and fairness standards sometime requires…

Machine Learning · Computer Science 2026-05-12 Tingyu Zhu , Yuhang Wu , Zeyu Zheng

Constraint programming (CP) has been used with great success to tackle a wide variety of constraint satisfaction problems which are computationally intractable in general. Global constraints are one of the important factors behind the…

Artificial Intelligence · Computer Science 2009-03-04 Alan Frisch , Brahim Hnich , Zeynep Kiziltan , Ian Miguel , Toby Walsh

We propose a new global SPACING constraint that is useful in modeling events that are distributed over time, like learning units scheduled over a study program or repeated patterns in music compositions. First, we investigate theoretical…

Logic in Computer Science · Computer Science 2013-03-26 Nina Narodytska , Peter Skocovsky , Toby Walsh

Soft constraints extend classical constraints to represent multiple consistency levels, and thus provide a way to express preferences, fuzziness, and uncertainty. While there are many soft constraint solving formalisms, even distributed…

Programming Languages · Computer Science 2018-02-27 S. Bistarelli , U. Montanari , F. Rossi

We study committee voting rules under ranked preferences, which map the voters' preference relations to a subset of the alternatives of predefined size. In this setting, the compatibility between proportional representation and committee…

Computer Science and Game Theory · Computer Science 2025-03-11 Haris Aziz , Patrick Lederer , Dominik Peters , Jannik Peters , Angus Ritossa