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Financial data has been extensively studied for correlations using Pearson's cross-correlation coefficient {\rho} as the point of departure. We employ an estimator based on recurrence plots --- the Correlation of Probability of Recurrence…

统计金融 · 定量金融 2013-06-05 B. Goswami , G. Ambika , N. Marwan , J. Kurths

We address a distributed adaptive control methodology for nonlinear interconnected systems possibly affected by network anomalies. In the framework of adaptive approximation, the distributed controller and parameter estimator are designed…

系统与控制 · 电气工程与系统科学 2025-01-08 Youqing Wang , Ying Li , Thomas Parisini , Dong Zhao

Large-scale interconnected uncertain systems commonly have large state and uncertainty dimensions. Aside from the heavy computational cost of solving centralized robust stability analysis techniques, privacy requirements in the network can…

最优化与控制 · 数学 2014-02-11 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen , Anders Rantzer

In this paper, we study estimation of potentially unstable linear dynamical systems when the observations are distributed over a network. We are interested in scenarios when the information exchange among the agents is restricted. In…

信息论 · 计算机科学 2011-11-22 Usman A. Khan , Ali Jadbabaie

In many applications it is of interest to identify anomalous behavior within a dynamic interacting system. Such anomalous interactions are reflected by structural changes in the network representation of the system. We propose and…

统计方法学 · 统计学 2016-12-01 James D. Wilson , Nathaniel T. Stevens , William H. Woodall

The local structure of unweighted networks can be characterized by the number of times a subgraph appears in the network. The clustering coefficient, reflecting the local configuration of triangles, can be seen as a special case of this…

统计力学 · 物理学 2009-11-10 J. -P. Onnela , J. Saramäki , J. Kertész , K. Kaski

Detrended fluctuation analysis (DFA) has been used widely to determine possible long-range correlations in data obtained from diverse settings. In a recent study [1], uncorrelated random spikes superimposed on the long-range correlated…

统计力学 · 物理学 2007-05-23 Radhakrishnan Nagarajan

We introduce Network Maximal Correlation (NMC) as a multivariate measure of nonlinear association among random variables. NMC is defined via an optimization that infers transformations of variables by maximizing aggregate inner products…

机器学习 · 统计学 2017-02-13 Soheil Feizi , Ali Makhdoumi , Ken Duffy , Muriel Medard , Manolis Kellis

This paper studies distributed resource allocation problem in multi-agent systems, where all the agents cooperatively minimize the sum of their cost functions with global resource constraints over stochastic communication networks. This…

最优化与控制 · 数学 2021-04-27 Tie Ding , Shanying Zhu , Cailian Chen , Xinping Guan

We establish sharp upper and lower bounds for distortion risk metrics under distributional uncertainty. The uncertainty sets are characterized by four key features of the underlying distribution: mean, variance, unimodality, and Wasserstein…

风险管理 · 定量金融 2025-11-13 Peng Liu , Steven Vanduffel , Yi Xia

Distributed parameter systems (DPS) are formulated as partial differential equations (PDE). Especially, under time-varying boundary conditions, PDE introduce force coupling. In the case of the flexible stacker crane (STC), nonlinear…

最优化与控制 · 数学 2025-01-28 Joe Ismail , Steven Liu

An input-output approach to stability analysis is explored for networked systems with uncertain link dynamics. The main result consists of a collection of integral quadratic constraints, which together imply robust stability of the…

系统与控制 · 电气工程与系统科学 2024-11-22 Simone Mariano , Michael Cantoni

This paper explores the estimation of a panel data model with cross-sectional interaction that is flexible both in its approach to specifying the network of connections between cross-sectional units, and in controlling for unobserved…

计量经济学 · 经济学 2021-11-23 Ayden Higgins , Federico Martellosio

We study stock market instability by using cross-correlations constructed from the return time series of 366 stocks traded on the Tokyo Stock Exchange from January 5, 1998 to December 30, 2013. To investigate the dynamical evolution of the…

统计金融 · 定量金融 2017-12-19 Tetsuya Takaishi

Most network studies rely on an observed network that differs from the underlying network which is obfuscated by measurement errors. It is well known that such errors can have a severe impact on the reliability of network metrics,…

社会与信息网络 · 计算机科学 2020-01-09 Christoph Martin , Peter Niemeyer

Previous statistical approaches to hierarchical clustering for social network analysis all construct an "ultrametric" hierarchy. While the assumption of ultrametricity has been discussed and studied in the phylogenetics literature, it has…

应用统计 · 统计学 2023-10-03 Sijia Fang , Karl Rohe

Podobnik and Stanley recently proposed a novel framework, Detrended Cross-Correlation Analysis, for the analysis of power-law cross-correlation between two time-series, a phenomenon which occurs widely in physical, geophysical, financial…

统计方法学 · 统计学 2013-09-18 Duncan A. J. Blythe

Solving chance-constrained optimal control problems for systems subject to non-stationary uncertainties is a significant challenge.Conventional robust model predictive control (MPC) often yields excessive conservatism by relying on static…

系统与控制 · 电气工程与系统科学 2025-07-16 Mingcong Li

Particular aspects of problems ranging from dielectric breakdown to metal insu- lator transition can be studied using electrical o elastic networks. We present an expression for the mean breakdown strength of such networks.First, we intro-…

统计力学 · 物理学 2009-11-07 J. S. Espinoza Ortiz , Chamith S. Rajapakse , Gemunu Gunaratne

The use of machine learning methods helps to improve decision making in different fields. In particular, the idea of bridging predictions (machine learning models) and prescriptions (optimization problems) is gaining attention within the…

最优化与控制 · 数学 2022-11-22 Antonio Alcántara , Carlos Ruiz