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In this paper, we demonstrate a formulation for optimizing coupled submodular maximization problems with provable sub-optimality bounds. In robotics applications, it is quite common that optimization problems are coupled with one another…

Robotics · Computer Science 2021-11-19 Jun Liu , Ryan K. Williams

The price of anarchy and price of stability are three well-studied performance metrics that seek to characterize the inefficiency of equilibria in distributed systems. The distinction between these two performance metrics centers on the…

Computer Science and Game Theory · Computer Science 2020-03-17 Vinod Ramaswamy , Dario Paccagnan , Jason R. Marden

In this paper, we study the adaptive submodular cover problem under the worst-case setting. This problem generalizes many previously studied problems, namely, the pool-based active learning and the stochastic submodular set cover. The input…

Data Structures and Algorithms · Computer Science 2023-02-14 Jing Yuan , Shaojie Tang

Participatory budgeting refers to the practice of allocating public resources by collecting and aggregating individual preferences. Most existing studies in this field often assume an additive utility function, where each individual holds a…

Computer Science and Game Theory · Computer Science 2024-06-21 Jing Yuan , Shaojie Tang

This paper considers deployment problems where a mobile robotic network must optimize its configuration in a distributed way in order to minimize a steady-state cost function that depends on the spatial distribution of certain probabilistic…

Optimization and Control · Mathematics 2012-08-20 Jerome Le Ny , George J. Pappas

Large scale systems are forecasted to greatly impact our future lives thanks to their wide ranging applications including cooperative robotics, mobility on demand, resource allocation, supply chain management. While technological…

Optimization and Control · Mathematics 2024-12-20 Dario Paccagnan

We introduce the problem of maximizing approximately $k$-submodular functions subject to size constraints. In this problem, one seeks to select $k$-disjoint subsets of a ground set with bounded total size or individual sizes, and maximum…

Data Structures and Algorithms · Computer Science 2021-01-19 Leqian Zheng , Hau Chan , Grigorios Loukides , Minming Li

This article provides a comprehensive exploration of submodular maximization problems, focusing on those subject to uniform and partition matroids. Crucial for a wide array of applications in fields ranging from computer science to systems…

Data Structures and Algorithms · Computer Science 2025-01-03 Solmaz S. Kia

In this paper we present efficient algorithmic solutions for several constrained resource allocation, management and discovery problems. We consider new types of resource allocation models and constraints, and we present new geometric…

Data Structures and Algorithms · Computer Science 2009-06-09 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Daniel Ardelean

Adaptive submodularity is a fundamental concept in stochastic optimization, with numerous applications such as sensor placement, hypothesis identification and viral marketing. We consider the problem of minimum cost cover of…

Data Structures and Algorithms · Computer Science 2024-05-24 Hessa Al-Thani , Yubing Cui , Viswanath Nagarajan

Optimizing car sharing systems under demand uncertainty is an emerging problem for ensuring profitable and sustainable operations of these services while taking into account quality of service concerns. With the increasing adoption of…

Optimization and Control · Mathematics 2023-07-18 Sinan Emre Kosunda , Beste Basciftci , Esra Koca

In cost sharing games, the existence and efficiency of pure Nash equilibria fundamentally depends on the method that is used to share the resources' costs. We consider a general class of resource allocation problems in which a set of…

Computer Science and Game Theory · Computer Science 2015-02-05 Max Klimm , Daniel Schmand

According to the proportional allocation mechanism from the network optimization literature, users compete for a divisible resource -- such as bandwidth -- by submitting bids. The mechanism allocates to each user a fraction of the resource…

Computer Science and Game Theory · Computer Science 2014-02-17 Ioannis Caragiannis , Alexandros A. Voudouris

Motivated by a variety of applications in control engineering and information sciences, we study network resource allocation problems where the goal is to optimally allocate a fixed amount of resource over a network of nodes. In these…

Optimization and Control · Mathematics 2017-08-25 Thinh T. Doan , Carolyn L. Beck

Submodular functions are an important class of functions in combinatorial optimization which satisfy the natural properties of decreasing marginal costs. The study of these functions has led to strong structural properties with applications…

Multiagent Systems · Computer Science 2009-11-13 Gagan Goel , Pushkar Tripathi , Lei Wang

Designing neural network architectures is a task that lies somewhere between science and art. For a given task, some architectures are eventually preferred over others, based on a mix of intuition, experience, experimentation and luck. For…

Machine Learning · Computer Science 2019-02-13 Jonathan Donier

Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

Optimization and Control · Mathematics 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

We address the problem of allocating limited resources in a network under persistent yet statistically unknown adversarial attacks. Each node in the network may be degraded, but not fully disabled, depending on its available defensive…

Data Structures and Algorithms · Computer Science 2025-07-01 Mansoor Davoodi , Setareh Maghsudi

We present a method for solving service allocation problems in which a set of services must be allocated to a set of agents so as to maximize a global utility. The method is completely distributed so it can scale to any number of services…

Multiagent Systems · Computer Science 2007-05-23 Jose M Vidal

We propose a game theoretic framework for task allocation in mobile cloud computing that corresponds to offloading of compute tasks to a group of nearby mobile devices. Specifically, in our framework, a distributor node holds a…

Networking and Internet Architecture · Computer Science 2016-08-31 Mojgan Khaledi , Mehrdad khaledi , Sneha Kumar Kasera