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In this paper, we study the stochastic gradient descent (SGD) method for the nonconvex nonsmooth optimization, and propose an accelerated SGD method by combining the variance reduction technique with Nesterov's extrapolation technique.…

最优化与控制 · 数学 2019-02-18 Feihu Huang , Songcan Chen

We address the generalized Nash equilibrium seeking problem in a partial-decision information scenario, where each agent can only exchange information with some neighbors, although its cost function possibly depends on the strategies of all…

最优化与控制 · 数学 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

In noncooperative Nash games, equilibria are often inefficient. This is exemplified by the Prisoner's Dilemma and was first provably shown in the 1980s. Since then, understanding the quality of Nash equilibrium (NE) received considerable…

最优化与控制 · 数学 2024-12-02 Yuyang Qiu , Farzad Yousefian , Brian Zhang

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

最优化与控制 · 数学 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

This work investigates the effectiveness of the Back-and-Forth Nudging (BFN) data assimilation algorithm, specifically its performance when employing the Azouani-Olson-Titi (AOT) continuous data assimilation downscaling nudging algorithm,…

偏微分方程分析 · 数学 2026-04-23 Aseel Farhat , Edriss S. Titi , Collin Victor

This paper proposes an alternating back-propagation algorithm for learning the generator network model. The model is a non-linear generalization of factor analysis. In this model, the mapping from the continuous latent factors to the…

机器学习 · 统计学 2016-12-07 Tian Han , Yang Lu , Song-Chun Zhu , Ying Nian Wu

To address computational challenges associated with power flow nonconvexities, significant research efforts over the last decade have developed convex relaxations and approximations of optimal power flow (OPF) problems. However, benefits…

系统与控制 · 电气工程与系统科学 2023-02-24 Babak Taheri , Daniel K. Molzahn

The general problem of characterizing gas source parameters based on concentration measurements is known to be a difficult task. As many inverse problems, one of the main obstacles for accurate estimation is the non-uniqueness of solution,…

计算物理 · 物理学 2023-06-22 Omri Buchman , Eyal Fattal

An increasing bottleneck in decentralized optimization is communication. Bigger models and growing datasets mean that decentralization of computation is important and that the amount of information exchanged is quickly growing. While…

机器学习 · 计算机科学 2021-08-19 Tharindu B. Adikari , Stark C. Draper

This paper deals with the problem of angle-of-attack modulation with the aim of enhancing transient performance of entry guidance during bank reversals, while compensating adverse effects of fast time-varying transient disturbances. An…

系统与控制 · 计算机科学 2016-06-09 Ran Zhang , Huifeng Li , Rui Zhang

We consider the stochastic generalized Nash equilibrium problem (SGNEP) with joint feasibility constraints and expected-value cost functions. We propose a distributed stochastic projected reflected gradient algorithm and show its almost…

最优化与控制 · 数学 2021-03-22 Barbara Franci , Sergio Grammatico

In this work we establish the first linear convergence result for the stochastic heavy ball method. The method performs SGD steps with a fixed stepsize, amended by a heavy ball momentum term. In the analysis, we focus on minimizing the…

最优化与控制 · 数学 2017-12-27 Nicolas Loizou , Peter Richtárik

Modern statistical inference tasks often require iterative optimization methods to compute the solution. Convergence analysis from an optimization viewpoint only informs us how well the solution is approximated numerically but overlooks the…

机器学习 · 统计学 2020-07-27 Tengyuan Liang , Weijie Su

In this paper, we propose Nesterov Accelerated Shuffling Gradient (NASG), a new algorithm for the convex finite-sum minimization problems. Our method integrates the traditional Nesterov's acceleration momentum with different shuffling…

最优化与控制 · 数学 2022-06-14 Trang H. Tran , Katya Scheinberg , Lam M. Nguyen

Synchronous generator system is a complicated dynamical system for energy transmission, which plays an important role in modern industrial production. In this article, we propose some predictor-corrector methods and structure-preserving…

数值分析 · 数学 2023-04-24 Jiawei Zhang , Aiqing Zhu , Feng Ji , Chang Lin , Yifa Tang

Sustained oscillations (SOs) are commonly observed in systems dominated by converters. Under specific conditions, even though the origin of SOs can be identified through negative damping modes using conventional linear analysis, utilizing…

系统与控制 · 电气工程与系统科学 2023-10-10 Chongbin Zhao , Qirong Jiang

In this work, we consider a network composed of several single-antenna transmitter-receiver pairs in which each pair aims at selfishly minimizing the power required to achieve a given signal-to-interference-plus-noise ratio. This is…

信息论 · 计算机科学 2016-11-18 Riccardo Andreotti , Leonardo Marchetti , Luca Sanguinetti , Merouane Debbah

Switching controlled dynamics allows for fast, flexible control design methods for quantum stabilization of pure states and subspaces, which naturally include both Hamiltonian and dissipative control actions. A novel approach to…

量子物理 · 物理学 2024-06-24 Weichao Liang , Tommaso Grigoletto , Francesco Ticozzi

It poses technical difficulty to achieve stable tracking even for single mismatched nonlinear strict-feedback systems when intermittent state feedback is utilized. The underlying problem becomes even more complicated if such systems are…

多智能体系统 · 计算机科学 2022-08-08 Libei Sun , Xiucai Huang , Yongduan Song

In this paper we study grouped variable selection problems by proposing a specified prior, called the nested spike and slab prior, to model collective behavior of regression coefficients. At the group level, the nested spike and slab prior…

统计方法学 · 统计学 2011-06-30 Tso-Jung Yen , Yu-Min Yen