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This paper is concerned with the estimation of time-varying networks for high-dimensional nonstationary time series. Two types of dynamic behaviors are considered: structural breaks (i.e., abrupt change points) and smooth changes. To…

Statistics Theory · Mathematics 2020-02-19 Mengyu Xu , Xiaohui Chen , Wei Biao Wu

Adaptive stretching, where the post compression signal is iteratively stretched to maximize the correlation between the pre and post compression rf echo frames, has demonstrated superior performance compared to gradient based methods. At…

Tissues and Organs · Quantitative Biology 2022-10-25 Shaiban Ahmed , Rasheed Abid , S. Kaisar Alam

There are a number of situations in which several signals are simultaneously recorded in complex systems, which exhibit long-term power-law cross-correlations. The multifractal detrended cross-correlation analysis (MF-DCCA) approaches can…

Statistical Finance · Quantitative Finance 2015-03-19 Zhi-Qiang Jiang , Wei-Xing Zhou

Dynamic functional connectivity (DFC) analysis involves measuring correlated neural activity over time across multiple brain regions. Significant regional correlations among neural signals, such as those obtained from resting-state…

Bank crisis is challenging to define but can be manifested through bank contagion. This study presents a comprehensive framework grounded in nonlinear time series analysis to identify potential early warning signals (EWS) for impending…

Risk Management · Quantitative Finance 2023-10-17 Shijia Song , Handong Li

Distributed estimation over networks draws much attraction in recent years. In many situations, due to imperfect information communication among nodes, the performance of traditional diffusion adaptive algorithms such as the diffusion LMS…

Information Theory · Computer Science 2018-02-15 Yicong He , Fei Wang , Shiyuan Wang , Pengju Ren , Badong Chen

We propose a new framework for measuring connectedness among financial variables that arises due to heterogeneous frequency responses to shocks. To estimate connectedness in short-, medium-, and long-term financial cycles, we introduce a…

Methodology · Statistics 2017-12-20 Jozef Barunik , Tomas Krehlik

Observability of complex systems/networks is the focus of this paper, which is shown to be closely related to the concept of contraction. Indeed, for observable network tracking it is necessary/sufficient to have one node in each…

Systems and Control · Computer Science 2017-09-13 Mohammadreza Doostmohammadian , Hamid R. Rabiee , Houman Zarrabi , Usman Khan

Understanding and developing a correlation measure that can detect general dependencies is not only imperative to statistics and machine learning, but also crucial to general scientific discovery in the big data age. In this paper, we…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Carey E. Priebe , Joshua T. Vogelstein

Results for estimating the convergence rate of non-stationary distributed consensus algorithms are provided, on the basis of qualitative (mainly topological) as well as basic quantitative information (lower-bounds on the matrix entries).…

Optimization and Control · Mathematics 2007-12-22 David Angeli , Pierre-Alexandre Bliman

Structural Entropy (SE) measures the structural information contained in a graph. Minimizing or maximizing SE helps to reveal or obscure the intrinsic structural patterns underlying graphs in an interpretable manner, finding applications in…

Social and Information Networks · Computer Science 2024-05-14 Yuwei Cao , Hao Peng , Angsheng Li , Chenyu You , Zhifeng Hao , Philip S Yu

In this article, a correlation metric $\kappa_C$ is proposed for the inference of the dynamical state of neuronal networks. $\kappa_C$ is computed from the scaling of the correlation length with the size of the observation region, which…

Disordered Systems and Neural Networks · Physics 2023-01-24 Eyisto J. Aguilar Trejo , Daniel A. Martin , Dulara De Zoysa , Zac Bowen , Tomas S. Grigera , Sergio A. Cannas , Wolfgang Losert , Dante R. Chialvo

We study the difference between the level of systemic risk that is empirically measured on an interbank network and the risk that can be deduced from the balance sheets composition of the participating banks. Using generalised DebtRank…

Risk Management · Quantitative Finance 2022-09-07 Alessandro Ferracci , Giulio Cimini

This paper studies a distributed estimation problem for time-varying/time-invariant large-scale interconnected systems (LISs). A fully distributed estimator is presented by recursively solving a distributed modified Riccati equation (DMRE)…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Zhongyao Hu , Bo Chen , Jianzheng Wang , Daniel W. C. Ho , Wen-An Zhang , Li Yu

Double network (DN) materials exhibit anomalous strength and toughness that far exceed the sum of their constituents. While widely exploited, the fundamental physical mechanisms underlying this synergy remain elusive. Here, we show that a…

Soft Condensed Matter · Physics 2026-05-13 Fucheng Tian , Feixue Lu , Katsuhiko Sato , Liangbin Li , Bin Li , Jian Ping Gong

We present Neural Stochastic Contraction Metrics (NSCM), a new design framework for provably-stable robust control and estimation for a class of stochastic nonlinear systems. It uses a spectrally-normalized deep neural network to construct…

Machine Learning · Computer Science 2021-01-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques E. Slotine

We propose a new inference framework, named MOSAIC, for change-point detection in dynamic networks with the simultaneous low-rank and sparse-change structure. We establish the minimax rate of detection boundary, which relies on the sparsity…

Machine Learning · Statistics 2025-09-09 Yingying Fan , Jingyuan Liu , Jinchi Lv , Ao Sun

Heterogeneity is a key aspect of complex networks, often emerging by looking at the distribution of node properties, from the milestone observations on the degree to the recent developments in mixing pattern estimation. Mixing patterns, in…

Social and Information Networks · Computer Science 2021-12-01 Salvatore Citraro , Letizia Milli , Rémy Cazabet , Giulio Rossetti

Renewable energy resources (RERs) have been increasingly integrated into distribution networks (DNs) for decarbonization. However, the variable nature of RERs introduces uncertainties to DNs, frequently resulting in voltage fluctuations…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Jinhao Li , Ruichang Zhang , Hao Wang , Zhi Liu , Hongyang Lai , Yanru Zhang

Due to its broad applications in practice, the minimum spanning tree problem and its all kinds of variations have been studied extensively during the last decades, for which a host of efficient exact and heuristic algorithms have been…

Optimization and Control · Mathematics 2026-05-05 Yang Xu , Lianmin Zhang