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Three Operator Splitting (TOS) (Davis & Yin, 2017) can minimize the sum of multiple convex functions effectively when an efficient gradient oracle or proximal operator is available for each term. This requirement often fails in machine…

最优化与控制 · 数学 2022-02-21 Alp Yurtsever , Alex Gu , Suvrit Sra

Statistical arbitrage strategies, such as pairs trading and its generalizations, rely on the construction of mean-reverting spreads enjoying a certain degree of predictability. Gaussian linear state-space processes have recently been…

统计金融 · 定量金融 2009-05-19 Kostas Triantafyllopoulos , Giovanni Montana

This paper investigates the distributed fixed point seeking problem of sum-separable stochastic operators over the multi-agent network. Based on inexact Krasnosel'ski\u{\i}--Mann iterations, the communication-efficient distributed algorithm…

最优化与控制 · 数学 2026-05-22 Fan Li , Lei Xu , Xinlei Yi , Guanghui Wen , Yang Shi , Tao Yang

This paper investigates the robustness of a novel high-dimensional continuification control method for complex multi-agent systems. We begin by formulating a partial differential equation describing the spatio-temporal density dynamics of…

系统与控制 · 电气工程与系统科学 2025-04-10 Gian Carlo Maffettone , Mario di Bernardo , Maurizio Porfiri

This paper focuses on stochastic proximal gradient methods for optimizing a smooth non-convex loss function with a non-smooth non-convex regularizer and convex constraints. To the best of our knowledge we present the first non-asymptotic…

最优化与控制 · 数学 2019-05-27 Michael R. Metel , Akiko Takeda

Euler's elastica model has a wide range of applications in Image Processing and Computer Vision. However, the non-convexity, the non-smoothness and the nonlinearity of the associated energy functional make its minimization a challenging…

数值分析 · 数学 2020-01-10 Liang-Jian Deng , Roland Glowinski , Xue-Cheng Tai

In this paper we develop linear transfer Perron Frobenius operator-based approach for optimal stabilization of stochastic nonlinear system. One of the main highlight of the proposed transfer operator based approach is that both the theory…

最优化与控制 · 数学 2019-03-20 Apurba Kumar Das , Arvind Raghunathan , Umesh Vaidya

In this paper, we consider a mean field game model inspired by crowd motion where agents aim to reach a closed set, called target set, in minimal time. Congestion phenomena are modeled through a constraint on the velocity of an agent that…

最优化与控制 · 数学 2022-12-23 Saeed Sadeghi Arjmand , Guilherme Mazanti

We study the problem of distributed coverage control in a network of mobile agents arranged on a line. The goal is to design distributed dynamics for the agents to achieve optimal coverage positions with respect to a scalar density field…

最优化与控制 · 数学 2014-11-25 P. Davison , N. E. Leonard , A. Olshevsky , M. Schwemmer

We formulate a stochastic game of mean field type where the agents solve optimal stopping problems and interact through the proportion of players that have already stopped. Working with a continuum of agents, typical equilibria become…

最优化与控制 · 数学 2017-12-01 Marcel Nutz

In this paper, multi-agent systems minimizing a sum of objective functions, where each component is only known to a particular node, is considered for continuous-time dynamics with time-varying interconnection topologies. Assuming that each…

多智能体系统 · 计算机科学 2015-03-19 Guodong Shi , Karl Henrik Johansson , Yiguang Hong

This paper addresses the steady state covariance steering for linear dynamical systems via structural intervention on the system matrix. We formulate the covariance steering problem as the minimization of the Kullback-Leibler (KL)…

系统与控制 · 电气工程与系统科学 2026-02-27 Yosuke Inoue , Masaki Inoue

We consider the problem of distributedly estimating Gaussian processes in multi-agent frameworks. Each agent collects few measurements and aims to collaboratively reconstruct a common estimate based on all data. Agents are assumed with…

多智能体系统 · 计算机科学 2018-05-11 Gianluigi Pillonetto , Luca Schenato , Damiano Varagnolo

This paper studies the control problem for safety-critical multi-agent systems based on quadratic programming (QP). Each controlled agent is modeled as a cascade connection of an integrator and an uncertain nonlinear actuation system. In…

系统与控制 · 电气工程与系统科学 2022-12-01 Si Wu , Tengfei Liu , Magnus Egerstedt , Zhong-Ping Jiang

In many stochastic games stemming from financial models, the environment evolves with latent factors and there may be common noise across agents' states. Two classic examples are: (i) multi-agent trading on electronic exchanges, and (ii)…

最优化与控制 · 数学 2019-07-24 Dena Firoozi , Peter E. Caines , Sebastian Jaimungal

Model predictive control strategies require to solve in an sequential manner, many, possibly non-convex, optimization problems. In this work, we propose an interacting stochastic agent system to solve those problems. The agents evolve in…

最优化与控制 · 数学 2023-12-21 Giacomo Borghi , Michael Herty

We introduce a class of robust control problems formulated in min-max form, in which the principal agent is viewed as a central planner facing Nature. The agent's cost is a nonlinear function of all its possible realizations, encompassing…

最优化与控制 · 数学 2026-04-24 François Delarue , Pierre Lavigne

The paper is devoted to the approximate consensus problem for networks of nonlinear agents with switching topology, noisy and delayed measurements. In contrast to the existing stochastic approximation-based control algorithms (protocols), a…

系统与控制 · 计算机科学 2013-06-17 Natalia Amelina , Alexander Fradkov , Yuming Jiang , Dimitrios J. Vergados

Distributed algorithms for both discrete-time and continuous-time linearly solvable optimal control (LSOC) problems of networked multi-agent systems (MASs) are investigated in this paper. A distributed framework is proposed to partition the…

机器学习 · 计算机科学 2021-02-19 Neng Wan , Aditya Gahlawat , Naira Hovakimyan , Evangelos A. Theodorou , Petros G. Voulgaris

We consider a class of finite time horizon nonlinear stochastic optimal control problem, where the control acts additively on the dynamics and the control cost is quadratic. This framework is flexible and has found applications in many…

最优化与控制 · 数学 2023-04-26 Ajay Jasra , Jeremy Heng , Yaxian Xu , Adrian N. Bishop