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We present a practical and powerful new framework for both unconstrained and constrained submodular function optimization based on discrete semidifferentials (sub- and super-differentials). The resulting algorithms, which repeatedly compute…

Data Structures and Algorithms · Computer Science 2013-08-13 Rishabh Iyer , Stefanie Jegelka , Jeff Bilmes

With increasing numbers of mobile robots arriving in real-world applications, more robots coexist in the same space, interact, and possibly collaborate. Methods to provide such systems with system size scalability are known, for example,…

Robotics · Computer Science 2024-05-15 Jonas Kuckling , Robin Luckey , Viktor Avrutin , Andrew Vardy , Andreagiovanni Reina , Heiko Hamann

In this paper, we propose a novel algorithm to maximize the sum rate in interference-limited scenarios where each user decodes its own message with the presence of unknown interferences and noise considering the…

Information Theory · Computer Science 2015-03-23 Hussein Al-Shatri , Xiang Li , Rakash SivaSiva Ganesan , Anja Klein , Tobias Weber

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

Systems of networked mobile robots, such as unmanned aerial or ground vehicles, will play important roles in future military and commercial applications. The communications for such systems will typically be over wireless links and may…

Networking and Internet Architecture · Computer Science 2011-09-01 Leenhapat Navaravong , John M. Shea , Eduardo L. Pasiliao , Gregory L. Barnette , Warren E. Dixon

This paper addresses the challenge of coordinating multi-robot systems under realistic communication delays using distributed optimization. We focus on consensus ADMM as a scalable framework for generating collision-free, dynamically…

We study the problem of distributed state estimation in a network of sensing units that can exchange their measurements but the rate of communication between the units is constrained. The units collect noisy, possibly only partial…

Signal Processing · Electrical Eng. & Systems 2018-07-23 Abolfazl Hashemi , Osman Fatih Kilic , Haris Vikalo

In this paper we present a reformulation--framed as a constrained optimization problem--of multi-robot tasks which are encoded through a cost function that is to be minimized. The advantages of this approach are multiple. The…

Robotics · Computer Science 2019-09-04 Gennaro Notomista , Magnus Egerstedt

In many robotics applications, multiple robots are working in a shared workspace to complete a set of tasks as fast as possible. Such settings can be treated as multi-modal multi-robot multi-goal path planning problems, where each robot has…

Robotics · Computer Science 2026-04-20 Valentin N. Hartmann , Tirza Heinle , Yijiang Huang , Stelian Coros

In this paper, we study the classic submodular maximization problem subject to a group equality constraint under both non-adaptive and adaptive settings. It has been shown that the utility function of many machine learning applications,…

Machine Learning · Computer Science 2023-08-30 Shaojie Tang , Jing Yuan

In collective systems, the available agents are a limited resource that must be allocated among tasks to maximize collective performance. Computing the optimal allocation of several agents to numerous tasks through a brute-force approach…

Robotics · Computer Science 2025-12-30 Simay Atasoy Bingöl , Tobias Töpfer , Sven Kosub , Heiko Hamann , Andreagiovanni Reina

We consider stochastic influence maximization problems arising in social networks. In contrast to existing studies that involve greedy approximation algorithms with a 63% performance guarantee, our work focuses on solving the problem…

Social and Information Networks · Computer Science 2020-06-02 Hao-Hsiang Wu , Simge Kucukyavuz

This work addresses the coordination problem of multiple robots with the goal of finding specific hazardous targets in an unknown area and dealing with them cooperatively. The desired behaviour for the robotic system entails multiple…

Robotics · Computer Science 2019-03-29 Nunzia Palmieri , Xin-She Yang , Floriano De Rango , Amilcare Francesco Santamaria

Minimax optimization has been central in addressing various applications in machine learning, game theory, and control theory. Prior literature has thus far mainly focused on studying such problems in the continuous domain, e.g.,…

Optimization and Control · Mathematics 2021-11-03 Arman Adibi , Aryan Mokhtari , Hamed Hassani

The goal of a sequential decision making problem is to design an interactive policy that adaptively selects a group of items, each selection is based on the feedback from the past, in order to maximize the expected utility of selected…

Data Structures and Algorithms · Computer Science 2022-09-13 Shaojie Tang

Many large-scale machine learning problems--clustering, non-parametric learning, kernel machines, etc.--require selecting a small yet representative subset from a large dataset. Such problems can often be reduced to maximizing a submodular…

Machine Learning · Computer Science 2016-06-28 Baharan Mirzasoleiman , Amin Karbasi , Rik Sarkar , Andreas Krause

Submodular optimization plays a key role in many real-world problems. In many real-world scenarios, it is also necessary to handle uncertainty, and potentially disruptive events that violate constraints in stochastic settings need to be…

Machine Learning · Computer Science 2019-11-27 Benjamin Doerr , Carola Doerr , Aneta Neumann , Frank Neumann , Andrew M. Sutton

Inter-robot loop closure detection, e.g., for collaborative simultaneous localization and mapping (CSLAM), is a fundamental capability for many multirobot applications in GPS-denied regimes. In real-world scenarios, this is a…

Robotics · Computer Science 2019-01-18 Yulun Tian , Kasra Khosoussi , Jonathan P. How

Emerging applications of control, estimation, and machine learning, ranging from target tracking to decentralized model fitting, pose resource constraints that limit which of the available sensors, actuators, or data can be simultaneously…

Optimization and Control · Mathematics 2020-12-15 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

We study the worst-case adaptive optimization problem with budget constraint that is useful for modeling various practical applications in artificial intelligence and machine learning. We investigate the near-optimality of greedy algorithms…

Artificial Intelligence · Computer Science 2017-05-24 Nguyen Viet Cuong , Huan Xu
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