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We study distributed optimization in a cooperative multi-agent setting, where agents have to agree on the usage of shared resources and can communicate via a time-varying network to this purpose. Each agent has its own decision variables…

Optimization and Control · Mathematics 2017-04-20 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini

Over-parameterization of deep neural networks (DNNs) has shown high prediction accuracy for many applications. Although effective, the large number of parameters hinders its popularity on resource-limited devices and has an outsize…

Machine Learning · Computer Science 2023-04-25 Shaoyi Huang , Bowen Lei , Dongkuan Xu , Hongwu Peng , Yue Sun , Mimi Xie , Caiwen Ding

Evolutionary Algorithms (EAs) are being routinely applied for a variety of optimization tasks, and real-parameter optimization in the presence of constraints is one such important area. During constrained optimization EAs often create…

Neural and Evolutionary Computing · Computer Science 2015-04-20 Nikhil Padhye , Pulkit Mittal , Kalyanmoy Deb

We propose an approach to trajectory optimization for piecewise polynomial systems based on the recently proposed graphs of convex sets framework. We instantiate the framework with a convex relaxation of optimal control based on occupation…

Optimization and Control · Mathematics 2025-07-28 Etienne Buehrle , Ömer Şahin Taş , Christoph Stiller

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Richard Heusdens , Guoqiang Zhang

It has been widely recognized that the performance of a multi-agent system is highly affected by its organization. A large scale system may have billions of possible ways of organization, which makes it impractical to find an optimal choice…

Multiagent Systems · Computer Science 2014-11-25 Zhiqi Shen , Ling Yu , Han Yu

In practise, it is often desirable to provide the decision-maker with a rich set of diverse solutions of decent quality instead of just a single solution. In this paper we study evolutionary diversity optimization for the knapsack problem…

Neural and Evolutionary Computing · Computer Science 2021-04-28 Jakob Bossek , Aneta Neumann , Frank Neumann

Trajectory optimization considers the problem of deciding how to control a dynamical system to move along a trajectory which minimizes some cost function. Differential Dynamic Programming (DDP) is an optimal control method which utilizes a…

Systems and Control · Computer Science 2017-01-10 David D. Fan , Evangelos A. Theodorou

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Although differential evolution (DE) algorithms perform well on a large variety of complicated optimization problems, only a few theoretical studies are focused on the working principle of DE algorithms. To make the first attempt to reveal…

Neural and Evolutionary Computing · Computer Science 2022-08-16 Cong Wang , Jun He , Yu Chen , Xiufen Zou

In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

Optimization and Control · Mathematics 2013-07-11 Pontus Giselsson , Anders Rantzer

The Quantum Alternating Operator Ansatz is a generalization of the Quantum Approximate Optimization Algorithm (QAOA) designed for finding approximate solutions to combinatorial optimization problems with hard constraints. In this paper, we…

Quantum Physics · Physics 2021-07-02 Jeremy Cook , Stephan Eidenbenz , Andreas Bärtschi

Contrary to on-road autonomous navigation, off-road autonomy is complicated by various factors ranging from sensing challenges to terrain variability. In such a milieu, data-driven approaches have been commonly employed to capture intricate…

Robotics · Computer Science 2025-09-16 Chinmay Vilas Samak , Tanmay Vilas Samak , Ajinkya Joglekar , Umesh Vaidya , Venkat Krovi

Intragenomic recombination (crossover) is a very important evolutionary mechanism. The crossover events are not evenly distributed along the natural chromosomes. Monte Carlo simulations revealed that frequency of recombinations decides…

Genomics · Quantitative Biology 2009-01-13 Wojciech Waga , Marta Zawierta , Jakub Kowalski , Stanislaw Cebrat

We introduce the proximal optimal transport divergence, a novel discrepancy measure that interpolates between information divergences and optimal transport distances via an infimal convolution formulation. This divergence provides a…

Optimization and Control · Mathematics 2025-08-11 Ricardo Baptista , Panagiota Birmpa , Markos A. Katsoulakis , Luc Rey-Bellet , Benjamin J. Zhang

Trajectory optimization is a widely used tool in the design and control of dynamical systems. Typically, not only nonlinear dynamics, but also couplings of the initial and final condition through implicit boundary constraints render the…

Optimization and Control · Mathematics 2024-12-05 Mohamed Abou-Taleb , Maximilian Raff , Kathrin Flaßkamp , C. David Remy

Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

Machine Learning · Computer Science 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Large-scale optimization problems that involve thousands of decision variables have extensively arisen from various industrial areas. As a powerful optimization tool for many real-world applications, evolutionary algorithms (EAs) fail to…

Neural and Evolutionary Computing · Computer Science 2023-09-26 Peng Yang , Ke Tang , Xin Yao

This paper considers the discrete convexity of a cross-layer on-off transmission control problem in wireless communications. In this system, a scheduler decides whether or not to transmit in order to optimize the long-term quality of…

Information Theory · Computer Science 2015-08-26 Ni Ding , Parastoo Sadeghi , Rodney A. Kennedy

This paper presents a novel Differential Evolution algorithm for protein folding optimization that is applied to a three-dimensional AB off-lattice model. The proposed algorithm includes two new mechanisms. A local search is used to improve…

Artificial Intelligence · Computer Science 2018-05-08 Borko Bošković , Janez Brest