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We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

Optimization and Control · Mathematics 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

We address a decentralized convex optimization problem, where every agent has its unique local objective function and constraint set. Agents compute at different speeds, and their communication may be delayed and directed. For this setup,…

Optimization and Control · Mathematics 2024-01-09 Firooz Shahriari-Mehr , Ashkan Panahi

Distributed optimization provides a framework for deriving distributed algorithms for a variety of multi-robot problems. This tutorial constitutes the first part of a two-part series on distributed optimization applied to multi-robot…

Robotics · Computer Science 2024-12-02 Ola Shorinwa , Trevor Halsted , Javier Yu , Mac Schwager

Multi-robot systems offer enhanced capability over their monolithic counterparts, but they come at a cost of increased complexity in coordination. To reduce complexity and to make the problem tractable, multi-robot motion planning (MRMP)…

Robotics · Computer Science 2021-11-30 Changrak Choi , Muhammad Adil , Amir Rahmani , Ramtin Madani

We present a multi-robot task and motion planning method that, when applied to the rearrangement of objects by manipulators, results in solution times up to three orders of magnitude faster than existing methods and successfully plans for…

Robotics · Computer Science 2023-04-20 James Motes , Tan Chen , Timothy Bretl , Marco Morales , Nancy M. Amato

Optimization methods for long-horizon, dynamically feasible motion planning in robotics tackle challenging non-convex and discontinuous optimization problems. Traditional methods often falter due to the nonlinear characteristics of these…

Robotics · Computer Science 2026-03-19 Akshay Jaitly , Siavash Farzan

This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex…

Optimization and Control · Mathematics 2016-08-04 Xianlin Zeng , Peng Yi , Yiguang Hong , Lihua Xie

Distributed Optimization is an increasingly important subject area with the rise of multi-agent control and optimization. We consider a decentralized stochastic optimization problem where the agents on a graph aim to asynchronously optimize…

Optimization and Control · Mathematics 2021-10-22 Vyacheslav Kungurtsev , Mahdi Morafah , Tara Javidi , Gesualdo Scutari

Collision-free navigation in cluttered environments with static and dynamic obstacles is essential for many multi-robot tasks. Dynamic obstacles may also be interactive, i.e., their behavior varies based on the behavior of other entities.…

Robotics · Computer Science 2024-05-21 Baskın Şenbaşlar , Gaurav S. Sukhatme

We propose a generalized framework for block-structured nonconvex optimization, which can be applied to structured subgraph detection in interdependent networks, such as multi-layer networks, temporal networks, networks of networks, and…

Machine Learning · Computer Science 2022-10-07 Fei Jie , Chunpai Wang , Feng Chen , Lei Li , Xindong Wu

In this work we consider the multi-agent motion planning (MAMP) problem with the constraint that agents arrive at their respective goals at the same time. For the special case where all agents are initially at rest we propose a two-step…

Optimization and Control · Mathematics 2026-05-05 Anja Hellander , Daniel Axehill

Multiple mobile robots play a significant role in various spatially distributed tasks.In unfamiliar and non-repetitive scenarios, reconstructing the global map is time-inefficient and sometimes unrealistic. Hence, research has focused on…

Robotics · Computer Science 2025-12-29 Weining Lu , Qingquan Lin , Litong Meng , Chenxi Li , Bin Liang

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

Optimization and Control · Mathematics 2014-11-19 Ion Necoara , Dragos Clipici

Modern machine learning techniques are successfully being adapted to data modeled as graphs. However, many real-world graphs are typically very large and do not fit in memory, often making the problem of training machine learning models on…

Machine Learning · Computer Science 2020-12-10 Alexandra Angerd , Keshav Balasubramanian , Murali Annavaram

This work proposes multi-agent systems setting for concurrent engineering system design optimization and gradually paves the way towards examining graph theoretic constructs in the context of multidisciplinary design optimization problem.…

Optimization and Control · Mathematics 2012-09-18 Amir Noori

We propose a mixed integer programming (MIP) model and iterative algorithms based on topological orders to solve optimization problems with acyclic constraints on a directed graph. The proposed MIP model has a significantly lower number of…

Machine Learning · Statistics 2017-11-02 Young Woong Park , Diego Klabjan

This work presents a decentralized motion planning framework for addressing the task of multi-robot navigation using deep reinforcement learning. A custom simulator was developed in order to experimentally investigate the navigation problem…

Today's fast linear algebra and numerical optimization tools have pushed the frontier of model predictive control (MPC) forward, to the efficient control of highly nonlinear and hybrid systems. The field of hybrid MPC has demonstrated that…

Optimization and Control · Mathematics 2020-05-11 Jia-Jie Zhu , Georg Martius

Most graphs in real life keep changing with time. These changes can be in the form of insertion or deletion of edges or vertices. Such rapidly changing graphs motivate us to study dynamic graph algorithms. However, three important graph…

Data Structures and Algorithms · Computer Science 2018-08-07 Manoj Gupta , Shahbaz Khan

Multi-robot cooperative control has gained extensive research interest due to its wide applications in civil, security, and military domains. This paper proposes a cooperative control algorithm for multi-robot systems with general linear…

Systems and Control · Electrical Eng. & Systems 2023-02-06 Yi Dong , Zhongguo Li , Xingyu Zhao , Zhengtao Ding , Xiaowei Huang