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In this paper, the problem of distributed optimization is studied via a network of agents. Each agent only has access to a noisy gradient of its own objective function, and can communicate with its neighbors via a network. To handle this…

最优化与控制 · 数学 2025-06-19 Yuchen Yang , Kaihong Lu , Long Wang

In recent years, the discovery of complex dynamic systems in various fields through data-driven methods has attracted widespread attention. This method has played the role of data and has become an advantageous tool for us to study complex…

动力系统 · 数学 2020-12-02 Min Dai , Ting Gao , Yubin Lu , Yayun Zheng , Jinqiao Duan

We analyze a power distribution line with high penetration of distributed generation and strong variations of power consumption and generation levels. In the presence of uncertainty the statistical description of the system is required to…

最优化与控制 · 数学 2010-06-02 Konstantin S. Turitsyn

We investigate an application in the automatic tuning of computer codes, an area of research that has come to prominence alongside the recent rise of distributed scientific processing and heterogeneity in high-performance computing…

应用统计 · 统计学 2013-04-17 Robert B. Gramacy , Matt Taddy , Stefan M. Wild

We propose a construction procedure which generates a wide class of random evolving networks with fat-tailed degree distributions and an arbitrary clustering. This procedure applies the stochastic transformations of edges, which can be used…

统计力学 · 物理学 2007-05-23 S. N. Dorogovtsev , J. F. F. Mendes , A. N. Samukhin

We consider the problem of accurately measuring the credit risk of a portfolio consisting of loss exposures such as loans, bonds and other financial assets. We are particularly interested in the probability of large portfolio losses. We…

统计计算 · 统计学 2015-11-03 Kevin Lam , Zdravko Botev

This paper presents a machine learning framework for Bayesian systems identification from noisy, sparse and irregular observations of nonlinear dynamical systems. The proposed method takes advantage of recent developments in differentiable…

机器学习 · 计算机科学 2020-04-21 Yibo Yang , Mohamed Aziz Bhouri , Paris Perdikaris

Dynamical processes can be transformed into graphs through a family of mappings called visibility algorithms, enabling the possibility of (i) making empirical data analysis and signal processing and (ii) characterising classes of dynamical…

混沌动力学 · 物理学 2015-06-18 Lucas Lacasa

Although there is a rapidly growing literature on dynamic connectivity methods, the primary focus has been on separate network estimation for each individual, which fails to leverage common patterns of information. We propose novel…

统计方法学 · 统计学 2021-01-15 Suprateek Kundu , Jin Ming , Joe Nocera , Keith M. McGregor

Robots rely on motion planning to navigate safely and efficiently while performing various tasks. In this paper, we investigate motion planning through Bayesian inference, where motion plans are inferred based on planning objectives and…

机器人学 · 计算机科学 2025-06-02 Ali Vaziri , Iman Askari , Huazhen Fang

Deep ensembles have emerged as a powerful technique for improving predictive performance and enhancing model robustness across various applications by leveraging model diversity. However, traditional deep ensemble methods are often…

It is increasingly realized that taking stochastic effects into account is important in order to study biological cells. However, the corresponding mathematical formulation, the chemical master equation (CME), suffers from the curse of…

数值分析 · 数学 2023-09-18 Lukas Einkemmer , Julian Mangott , Martina Prugger

Current dynamic networks and dynamic pruning methods have shown their promising capability in reducing theoretical computation complexity. However, dynamic sparse patterns on convolutional filters fail to achieve actual acceleration in…

计算机视觉与模式识别 · 计算机科学 2021-03-25 Changlin Li , Guangrun Wang , Bing Wang , Xiaodan Liang , Zhihui Li , Xiaojun Chang

Simulation is an efficient tool in the design and control of power electronic systems. However, quick and accurate simulation of them is still challenging, especially when the system contains a large number of switches and state variables.…

系统与控制 · 电气工程与系统科学 2023-12-11 Han Xu , Bochen Shi , Zhujun Yu , Jialin Zheng , Zhengming Zhao

Proposed here is a dynamic Monte-Carlo algorithm that is efficient in simulating dense systems of long flexible chain molecules. It expands on the configurational-bias Monte-Carlo method through the simultaneous generation of a large set of…

统计力学 · 物理学 2018-08-29 Niels Boon

Many real-world systems are characterized by stochastic dynamical rules where a complex network of interactions among individual elements probabilistically determines their state. Even with full knowledge of the network structure and of the…

物理与社会 · 物理学 2018-05-15 Filippo Radicchi , Claudio Castellano

A novel field theoretical approach towards modelling dynamic networking in complex systems is presented. An equilibrium networking formalism which utilises Gaussian fields is adapted to model the dynamics of particles that can bind and…

软凝聚态物质 · 物理学 2025-05-27 Nadine du Toit , Kristian K. Müller-Nedebock

We study the distributed stochastic optimization (DSO) problem under a heavy-tailed noise condition by utilizing a multi-agent system. Despite the extensive research on DSO algorithms used to solve DSO problems under light-tailed noise…

最优化与控制 · 数学 2025-09-23 Zhan Yu , Lan Liao , Deming Yuan , Daniel W. C. Ho , Ding-Xuan Zhou

Recently, a number of mostly $\ell_1$-norm regularized least squares type deterministic algorithms have been proposed to address the problem of \emph{sparse} adaptive signal estimation and system identification. From a Bayesian perspective,…

In existing distributed stochastic optimization studies, it is usually assumed that the gradient noise has a bounded variance. However, recent research shows that the heavy-tailed noise, which allows an unbounded variance, is closer to…

最优化与控制 · 数学 2025-05-15 Jun Hu , Chao Sun , Bo Chen , Jianzheng Wang , Zheming Wang