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Modern computationally-heavy applications are often time-sensitive, demanding distributed strategies to accelerate them. On the other hand, distributed computing suffers from the bottleneck of slow workers in practice. Distributed coded…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-03 Homa Esfahanizadeh , Alejandro Cohen , Muriel Médard , Shlomo Shamai

This paper proposes distributed algorithms to solve robust convex optimization (RCO) when the constraints are affected by nonlinear uncertainty. We adopt a scenario approach by randomly sampling the uncertainty set. To facilitate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Keyou You , Roberto Tempo , Pei Xie

This paper proposes a novel distributed optimization framework that addresses time-varying optimization problems without requiring explicit derivative information of the objective functions. Traditional distributed methods often rely on…

Optimization and Control · Mathematics 2025-09-29 Xuebin Li , Xuefei Yang , Emilia Fridman , Mamadou Diagne , Jiebao Sun

Numerical solution of partial differential equations on parallel computers using domain decomposition usually requires synchronization and communication among the processors. These operations often have a significant overhead in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-11 Soumyadip Ghosh , Jiacai Lu , Vijay Gupta , Gretar Tryggvason

Modern platforms are using accelerators in conjunction with standard processing units in order to reduce the running time of specific operations, such as matrix operations, and improve their performance. Scheduling on such hybrid platforms…

Data Structures and Algorithms · Computer Science 2020-02-11 Vincent Fagnon , Imed Kacem , Giorgio Lucarelli , Bertrand Simon

We consider the challenge of black-box optimization within hybrid discrete-continuous and variable-length spaces, a problem that arises in various applications, such as decision tree learning and symbolic regression. We propose DisCo-DSO…

Machine Learning · Computer Science 2024-12-17 Jacob F. Pettit , Chak Shing Lee , Jiachen Yang , Alex Ho , Daniel Faissol , Brenden Petersen , Mikel Landajuela

This paper presents a customized second-order cone programming (SOCP) solver tailored for embedded real-time optimization, which frequently arises in modern guidance and control (G&C) applications. The solver employs a practically efficient…

Optimization and Control · Mathematics 2026-03-12 Jae-Il Jang , Chang-Hun Lee

We study non-convex distributed optimization problems where a set of agents collaboratively solve a separable optimization problem that is distributed over a time-varying network. The existing methods to solve these problems rely on (at…

Optimization and Control · Mathematics 2022-04-26 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

In this thesis, we propose new theoretical frameworks for the analysis of stochastic and distributed methods with error compensation and local updates. Using these frameworks, we develop more than 20 new optimization methods, including the…

Optimization and Control · Mathematics 2021-12-21 Eduard Gorbunov

Large optimization problems with hard constraints arise in many settings, yet classical solvers are often prohibitively slow, motivating the use of deep networks as cheap "approximate solvers." Unfortunately, naive deep learning approaches…

Machine Learning · Computer Science 2021-04-27 Priya L. Donti , David Rolnick , J. Zico Kolter

For solving combinatorial optimisation problems with metaheuristics, different search operators are applied for sampling new solutions in the neighbourhood of a given solution. It is important to understand the relationship between…

Artificial Intelligence · Computer Science 2023-05-05 Jiyuan Pei , Hao Tong , Jialin Liu , Yi Mei , Xin Yao

A conventional way to handle model predictive control (MPC) problems distributedly is to solve them via dual decomposition and gradient ascent. However, at each time-step, it might not be feasible to wait for the dual algorithm to converge.…

Optimization and Control · Mathematics 2015-03-13 Farhad Farokhi , Iman Shames , Karl H. Johansson

While advanced analysis of large dataset is in high demand, data sizes have surpassed capabilities of conventional software and hardware. Hadoop framework distributes large datasets over multiple commodity servers and performs parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-17 Woo-Hyun Lee , Hee-Gook Jun , Hyoung-Joo Kim

Dual decomposition is widely utilized in distributed optimization of multi-agent systems. In practice, the dual decomposition algorithm is desired to admit an asynchronous implementation due to imperfect communication, such as time delay…

Optimization and Control · Mathematics 2021-03-05 Yifan Su , Zhaojian Wang , Ming Cao , Mengshuo Jia , Feng Liu

Conflict learning algorithms are an important component of modern MIP and CP solvers. But strong conflict information is typically gained by depth-first search. While this is the natural mode for CP solving, it is not for MIP solving. Rapid…

Optimization and Control · Mathematics 2019-02-08 Timo Berthold , Peter J. Stuckey , Jakob Witzig

Maintaining the pair similarity relationship among originally high-dimensional data into a low-dimensional binary space is a popular strategy to learn binary codes. One simiple and intutive method is to utilize two identical code matrices…

Information Retrieval · Computer Science 2018-11-28 Xiaoshuang Shi , Fuyong Xing , Zizhao Zhang , Manish Sapkota , Zhenhua Guo , Lin Yang

This paper considers the distributed optimization of a sum of locally observable, non-convex functions. The optimization is performed over a multi-agent networked system, and each local function depends only on a subset of the variables. An…

Optimization and Control · Mathematics 2016-05-04 Sandeep Kumar , Rahul Jain , Ketan Rajawat

This paper considers a distributed convex optimization problem over a time-varying multi-agent network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-22 Chuanye Gu , Zhiyou Wu , Jueyou Li , Yaning Guo

This paper focuses on the distributed optimization of stochastic saddle point problems. The first part of the paper is devoted to lower bounds for the centralized and decentralized distributed methods for smooth (strongly) convex-(strongly)…

Machine Learning · Computer Science 2025-04-28 Aleksandr Beznosikov , Valentin Samokhin , Alexander Gasnikov

In this paper, we consider the nonsmooth convex optimization problems over the fixed point constraint sets of firmly nonexpansive operators. To find an optimal solution of the problem, we present an iterative method based on the hybrid…

Optimization and Control · Mathematics 2026-03-23 Ontima Pankoon , Nimit Nimana , Yeol Je Cho