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Finding diverse solutions to optimization problems has been of practical interest for several decades, and recently enjoyed increasing attention in research. While submodular optimization has been rigorously studied in many fields, its…

Data Structures and Algorithms · Computer Science 2023-07-18 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Submodular optimization is a special class of combinatorial optimization arising in several machine learning problems, but also in cooperative control of complex systems. In this paper, we consider agents in an asynchronous, unreliable and…

Systems and Control · Computer Science 2018-12-17 Andrea Testa , Ivano Notarnicola , Giuseppe Notarstefano

Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

Optimization and Control · Mathematics 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

Often times, in many design problems, there is a need to select a small set of informative or representative elements from a large ground set of entities in an optimal fashion. Submodular optimization that provides for a formal way to solve…

Machine Learning · Computer Science 2018-10-09 Arun V Sathanur

A flurry of recent work has demonstrated that pre-trained large language models (LLMs) can be effective task planners for a variety of single-robot tasks. The planning performance of LLMs is significantly improved via prompting techniques,…

Robotics · Computer Science 2024-03-25 Yongchao Chen , Jacob Arkin , Yang Zhang , Nicholas Roy , Chuchu Fan

The task of maximizing coverage using multiple robots has several applications such as surveillance, exploration, and environmental monitoring. A major challenge of deploying such multi-robot systems in a practical scenario is to ensure…

Robotics · Computer Science 2021-03-05 Ishat E Rabban , Pratap Tokekar

The limited energy capacity of individual robotic agents in a swarm often limits the possible cooperative tasks they can perform. In this work, we investigate the problem of covering an unknown connected grid environment (e.g. a maze or…

Multiagent Systems · Computer Science 2019-03-11 Michael Amir , Alfred M. Bruckstein

Submodular optimization has numerous applications such as crowdsourcing and viral marketing. In this paper, we study the fundamental problem of non-negative submodular function maximization subject to a $k$-system constraint, which…

Data Structures and Algorithms · Computer Science 2021-06-16 Kai Han , Shuang Cui , Tianshuai Zhu , Jing Tang , Benwei Wu , He Huang

A key problem in emerging complex cyber-physical networks is the design of information and control topologies, including sensor and actuator selection and communication network design. These problems can be posed as combinatorial set…

Optimization and Control · Mathematics 2018-11-20 Tyler Summers , Maryam Kamgarpour

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

Optimization and Control · Mathematics 2021-08-02 Navid Rezazadeh , Solmaz S. Kia

We introduce the \emph{submodular objectives chasing problem}, which generalizes many natural and previously-studied problems: a sequence of constrained submodular maximization problems is revealed over time, with both the objective and…

Data Structures and Algorithms · Computer Science 2025-11-18 Niv Buchbinder , Joseph , Naor , David Wajc

Deploying a team of robots that can carefully coordinate their actions can make the entire system robust to individual failures. In this report, we review recent algorithmic development in making multi-robot systems robust to environmental…

Robotics · Computer Science 2021-05-04 Lifeng Zhou , Pratap Tokekar

We address multi-robot safe mission planning in uncertain dynamic environments. This problem arises in several applications including safety-critical exploration, surveillance, and emergency rescue missions. Computation of a multi-robot…

Robotics · Computer Science 2022-11-15 Daniel Tihanyi , Yimeng Lu , Orcun Karaca , Maryam Kamgarpour

In this paper, we introduce a novel technique for constrained submodular maximization, inspired by barrier functions in continuous optimization. This connection not only improves the running time for constrained submodular maximization but…

Machine Learning · Computer Science 2020-02-11 Ashwinkumar Badanidiyuru , Amin Karbasi , Ehsan Kazemi , Jan Vondrak

An efficient communication mechanism forms the backbone for any multi-robot system to achieve fruitful collaboration and coordination. Limitation in the existing asynchronous transmission based strategies in fast dissemination and…

Robotics · Computer Science 2021-12-02 Sourabha Bharadwaj , Karunakar Gonabattula , Sudipta Saha , Chayan Sarkar , Rekha Raja

In decentralized multi-robot navigation, ensuring safe and efficient movement with limited environmental awareness remains a challenge. While robots traditionally navigate based on local observations, this approach falters in complex…

Robotics · Computer Science 2024-06-27 Senthil Hariharan Arul , Amrit Singh Bedi , Dinesh Manocha

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

We study the problem of multi-agent coordination in unpredictable and partially-observable environments with untrustworthy external commands. The commands are actions suggested to the robots, and are untrustworthy in that their performance…

Systems and Control · Electrical Eng. & Systems 2023-10-13 Zirui Xu , Xiaofeng Lin , Vasileios Tzoumas

One of the most important promises of decentralized systems is scalability, which is often assumed to be present in robot swarm systems without being contested. Simple limitations, such as movement congestion and communication conflicts,…

Robotics · Computer Science 2023-07-18 Karthik Soma , Vivek Shankar Vardharajan , Heiko Hamann , Giovanni Beltrame

This paper investigates the task assignment problem for multiple dispersed robots constrained by limited communication range. The robots are initially randomly distributed and need to visit several target locations while minimizing the…

Optimization and Control · Mathematics 2017-02-16 Xiaoshan Bai , Weisheng Yan , Ming Cao , Jie Huang