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In this paper, we propose a primal-dual splitting algorithm for a broad class of structured composite monotone inclusions that involve finitely many set-valued operators, compositions of set-valued operators with bounded linear operators,…

最优化与控制 · 数学 2026-05-14 Minh N. Dao , Hung M. Phan , Matthew K. Tam , Thang D. Truong

Many statistical learning problems can be posed as minimization of a sum of two convex functions, one typically a composition of non-smooth and linear functions. Examples include regression under structured sparsity assumptions. Popular…

机器学习 · 统计学 2021-07-19 Seyoon Ko , Donghyeon Yu , Joong-Ho Won

The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so-called ports. In this paper, we apply an operator splitting…

Sparse methods are the standard approach to obtain interpretable models with high prediction accuracy. Alternatively, algorithmic ensemble methods can achieve higher prediction accuracy at the cost of loss of interpretability. However, the…

统计方法学 · 统计学 2022-01-11 Anthony Christidis , Stefan Van Aelst , Ruben Zamar

Bifurcation theory is a powerful tool for studying how the dynamics of a neural network model depends on its underlying neurophysiological parameters. However, bifurcation theory has been developed mostly for smooth dynamical systems and…

神经元与认知 · 定量生物学 2019-01-16 Diego Fasoli , Stefano Panzeri

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

机器学习 · 计算机科学 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

In this paper, we present a contraction-guided adaptive partitioning algorithm for improving interval-valued robust reachable set estimates in a nonlinear feedback loop with a neural network controller and disturbances. Based on an estimate…

系统与控制 · 电气工程与系统科学 2024-01-23 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

Splitting is a method to handle application problems by splitting physics, scales, domain, and so on. Many splitting algorithms have been designed for efficient temporal discretization. In this paper, our goal is to use temporal splitting…

数值分析 · 数学 2022-08-17 Yalchin Efendiev , Wing Tat Leung , Guang Lin , Zecheng Zhang

We present a novel particle filtering framework for continuous-time dynamical systems with continuous-time measurements. Our approach is based on the duality between estimation and optimal control, which allows reformulating the estimation…

最优化与控制 · 数学 2021-10-08 Qinsheng Zhang , Amirhossein Taghvaei , Yongxin Chen

Graph-cuts are widely used in computer vision. In order to speed up the optimization process and improve the scalability for large graphs, Strandmark and Kahl introduced a splitting method to split a graph into multiple subgraphs for…

数据结构与算法 · 计算机科学 2016-11-03 Miao Yu , Shuhan Shen , Zhanyi Hu

This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of infinite dimensional Hilbert spaces. For this purpose, several inertial hybrid and shrinking projection algorithms are proposed…

最优化与控制 · 数学 2024-09-17 Zheng Zhou , Bing Tan , Songxiao Li

The links between optimal control of dynamical systems and neural networks have proved beneficial both from a theoretical and from a practical point of view. Several researchers have exploited these links to investigate the stability of…

最优化与控制 · 数学 2019-02-08 Panos Parpas , Corey Muir

We develop an algorithm that combines model-based and model-free methods for solving a nonlinear optimal control problem with a quadratic cost in which the system model is given by a linear state-space model with a small additive nonlinear…

最优化与控制 · 数学 2022-03-23 Yansong Li , Shuo Han

We present a sequential distributed model predictive control (MPC) scheme for cooperative control of multi-agent systems with dynamically decoupled heterogeneous nonlinear agents subject to individual constraints. In the scheme, we explore…

系统与控制 · 电气工程与系统科学 2024-06-13 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

While large training datasets generally offer improvement in model performance, the training process becomes computationally expensive and time consuming. Distributed learning is a common strategy to reduce the overall training time by…

机器学习 · 统计学 2021-10-22 Nicole Mücke , Enrico Reiss , Jonas Rungenhagen , Markus Klein

Efficient flow separation control represents significant economic benefit. This study applies a machine learning algorithm to minimize flow separation in Smart Skin, a flow control device that features distributed-input and…

系统与控制 · 电气工程与系统科学 2023-11-15 Songqi Li

Inspired by the successes of stochastic algorithms in the training of deep neural networks and the simulation of interacting particle systems, we propose and analyze a framework for randomized time-splitting in linear-quadratic optimal…

最优化与控制 · 数学 2022-06-02 Daniel Veldman , Enrique Zuazua

Analyzing the worst-case performance of deep neural networks against input perturbations amounts to solving a large-scale non-convex optimization problem, for which several past works have proposed convex relaxations as a promising…

机器学习 · 计算机科学 2022-07-11 Shaoru Chen , Eric Wong , J. Zico Kolter , Mahyar Fazlyab

This paper proposes a receding horizon active learning and control problem for dynamical systems in which Gaussian Processes (GPs) are utilized to model the system dynamics. The active learning objective in the optimization problem is…

系统与控制 · 电气工程与系统科学 2021-05-13 Viet-Anh Le , Truong X. Nghiem

Machine learning algorithms aim at minimizing the number of false decisions and increasing the accuracy of predictions. However, the high predictive power of advanced algorithms comes at the costs of transparency. State-of-the-art methods,…

机器学习 · 计算机科学 2019-08-30 Klaus Broelemann , Gjergji Kasneci