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We investigate two new optimization problems -- minimizing a submodular function subject to a submodular lower bound constraint (submodular cover) and maximizing a submodular function subject to a submodular upper bound constraint…

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

In this paper, we consider the problem of designing incentive compatible auctions for multiple (homogeneous) units of a good, when bidders have private valuations and private budget constraints. When only the valuations are private and the…

Computer Science and Game Theory · Computer Science 2009-04-23 Sayan Bhattacharya , Vincent Conitzer , Kamesh Munagala , Lirong Xia

We study two stylized, multi-agent models aimed at investing a limited, indivisible resource in public transportation. In the first model, we face the decision of which potential stops to open along a (e.g., bus) path, given agents' travel…

Computer Science and Game Theory · Computer Science 2026-02-04 Martin Bullinger , Edith Elkind , Kassian Köck

Constrained decision-making is essential for designing safe policies in real-world control systems, yet simulated environments often fail to capture real-world adversities. We consider the problem of learning a policy that will maximize the…

Machine Learning · Computer Science 2026-02-10 Sourav Ganguly , Kishan Panaganti , Arnob Ghosh , Adam Wierman

Resource balancing within complex transportation networks is one of the most important problems in real logistics domain. Traditional solutions on these problems leverage combinatorial optimization with demand and supply forecasting.…

Multiagent Systems · Computer Science 2019-03-05 Xihan Li , Jia Zhang , Jiang Bian , Yunhai Tong , Tie-Yan Liu

An unconstrained nonlinear binary optimization problem of selecting a maximum expected value subset of items is considered. Each item is associated with a profit and probability. Each of the items succeeds or fails independently with the…

Computational Complexity · Computer Science 2017-06-23 Noam Goldberg , Gabor Rudolf

Participatory Budgeting (PB) is a process in which voters decide how to allocate a common budget; most commonly it is done by ordinary people -- in particular, residents of some municipality -- to decide on a fraction of the municipal…

Multiagent Systems · Computer Science 2021-11-16 Ariel Rosenfeld , Nimrod Talmon

The ability to measure the satisfaction of (groups of) voters is a crucial prerequisite for formulating proportionality axioms in approval-based participatory budgeting elections. Two common - but very different - ways to measure the…

Computer Science and Game Theory · Computer Science 2023-10-19 Markus Brill , Stefan Forster , Martin Lackner , Jan Maly , Jannik Peters

We consider the maximization problem of monotone submodular functions under an uncertain knapsack constraint. Specifically, the problem is discussed in the situation that the knapsack capacity is not given explicitly and can be accessed…

Data Structures and Algorithms · Computer Science 2018-03-08 Yasushi Kawase , Hanna Sumita , Takuro Fukunaga

In this paper, we consider the classic stochastic (dynamic) knapsack problem, a fundamental mathematical model in revenue management, with general time-varying random demand. Our main goal is to study the optimal policies, which can be…

Optimization and Control · Mathematics 2018-07-19 Yingdong Lu

We study a budgeted hyper-parameter tuning problem, where we optimize the tuning result under a hard resource constraint. We propose to solve it as a sequential decision making problem, such that we can use the partial training progress of…

Machine Learning · Computer Science 2019-02-05 Zhiyun Lu , Chao-Kai Chiang , Fei Sha

We study two combinatorial contract design models -- multi-agent and multi-action -- where a principal delegates the execution of a costly project to others. In both settings, the principal cannot observe the choices of the agent(s), only…

Computer Science and Game Theory · Computer Science 2023-12-01 Tomer Ezra , Michal Feldman , Maya Schlesinger

We present the first analysis of Fisher markets with buyers that have budget-additive utility functions. Budget-additive utilities are elementary concave functions with numerous applications in online adword markets and revenue optimization…

Computer Science and Game Theory · Computer Science 2016-05-03 Xiaohui Bei , Jugal Garg , Martin Hoefer , Kurt Mehlhorn

The problem of selecting a small-size representative summary of a large dataset is a cornerstone of machine learning, optimization and data science. Motivated by applications to recommendation systems and other scenarios with query-limited…

Data Structures and Algorithms · Computer Science 2019-10-15 Dmitrii Avdiukhin , Grigory Yaroslavtsev , Samson Zhou

We consider {\em profit-maximization} problems for {\em combinatorial auctions} with {\em non-single minded valuation functions} and {\em limited supply}. We obtain fairly general results that relate the approximability of the…

Computer Science and Game Theory · Computer Science 2013-12-03 Khaled Elbassioni , Mahmoud Fouz , Chaitanya Swamy

We initiate the study of the proportionality degree for participatory budgeting, with a particular focus on two popular methods: the Method of Equal Shares (MES) and Phragmen's Sequential Rule. Among other results, we derive tight bounds…

Computer Science and Game Theory · Computer Science 2026-03-11 Aris Filos-Ratsikas , Sreedurga Gogulapati , Georgios Kalantzis

We contribute to the programme of lifting proportionality axioms from the multi-winner voting setting to participatory budgeting. We define novel proportionality axioms for participatory budgeting and test them on known…

Computer Science and Game Theory · Computer Science 2022-05-05 Maaike Los , Zoé Christoff , Davide Grossi

Constrained submodular maximization problems encompass a wide variety of applications, including personalized recommendation, team formation, and revenue maximization via viral marketing. The massive instances occurring in modern day…

Data Structures and Algorithms · Computer Science 2024-02-20 Georgios Amanatidis , Federico Fusco , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

Classical federated learning (FL) assumes that the clients have a limited amount of noisy data with which they voluntarily participate and contribute towards learning a global, more accurate model in a principled manner. The learning…

Computer Science and Game Theory · Computer Science 2026-03-17 Drashthi Doshi , Aditya Vema Reddy Kesari , Avishek Ghosh , Swaprava Nath , Suhas S Kowshik

Combinatorial problems are a common challenge in business, requiring finding optimal solutions under specified constraints. While significant progress has been made with variational approaches such as QAOA, most problems addressed are…

Quantum Physics · Physics 2025-01-14 Monit Sharma , Yan Jin , Hoong Chuin Lau , Rudy Raymond