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Mouse-tracking recording techniques are becoming very attractive in experimental psychology. They provide an effective means of enhancing the measurement of some real-time cognitive processes involved in categorization, decision-making, and…

Applications · Statistics 2019-12-18 Antonio Calcagnì , Luigi Lombardi , Marco D'Alessandro

This paper presents a generic motion model to capture mobile robots' dynamic behaviors (translation and rotation). The model is based on statistical models driven by white random processes and is formulated into a full state estimation…

Robotics · Computer Science 2020-10-14 Wei Xu , Dongjiao He , Yixi Cai , Fu Zhang

Key network motifs searching in complex networks is one of the crucial aspects of network analysis. There has been a series of insightful findings and valuable applications for various scenarios through the analysis of network structures.…

Physics and Society · Physics 2024-08-20 Qitong Hu , Xiao-Dong Zhang

The problem of state estimations for electric distribution system is considered. A collaborative filtering approach is proposed in this paper to integrate the slow time-scale smart meter measurements in the distribution system state…

Systems and Control · Electrical Eng. & Systems 2023-07-18 Yifei Xu , Ye Guo , Wenjun Tang , Hongbin Sun , Shiming Li , Yue Dai

Inference for streaming time-series is tightly coupled with the problem of Bayesian on-line state and parameter inference. In this paper we will introduce Dynamic Generalised Linear Models, the class of models often chosen to model…

Computation · Statistics 2016-09-01 Rui Vieira , Darren J. Wilkinson

Continuous-time measurements are instrumental for a multitude of tasks in quantum engineering and quantum control, including the estimation of dynamical parameters of open quantum systems monitored through the environment. However, such…

Quantum Physics · Physics 2023-04-12 Alfred Godley , Madalin Guta

When implemented in the digital domain with time, space and value discretized in the binary form, many good dynamical properties of chaotic systems in continuous domain may be degraded or even diminish. To measure the dynamic complexity of…

Chaotic Dynamics · Physics 2019-05-08 Chengqing Li , Jinhu Lu , Guanrong Chen

Inverter-interfaced microgrids, owing to the lack of fault current, cannot be protected using traditional over-current protections, while admittance or differential relaying protection schemes are not practical to be implemented. Dynamic…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Sarbajit Basu , Arthur K. Barnes , Adam Mate , Olga Lavrova

This paper addresses distributed parameter estimation in stochastic dynamic systems with quantized measurements, constrained by quantized communication and Markovian switching directed topologies. To enable accurate recovery of the original…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Ying Wang , Jian Guo , Yanlong Zhao , Ji-feng Zhang

Presented is a method to compute certain classes of Hamilton-Jacobi equations that result from optimal control and trajectory generation problems with time delays. Many robotic control and trajectory problems have limited information of the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Matthew R. Kirchner

Reservoir computing has been shown to be a useful framework for predicting critical transitions of a dynamical system if the bifurcation parameter is also provided as an input. Its utility is significant because in real-world scenarios, the…

Adaptation and Self-Organizing Systems · Physics 2024-07-23 Dishant Sisodia , Sarika Jalan

Significant efforts have gone into the development of statistical models for analyzing data in the form of networks, such as social networks. Most existing work has focused on modeling static networks, which represent either a single time…

Social and Information Networks · Computer Science 2013-04-23 Kevin S. Xu , Alfred O. Hero

I propose a quantum trajectories approach to parametric identification of the effective Hamiltonian for a Markovian open quantum system, and discuss an application motivated by recent experiments in cavity quantum electrodynamics. This…

Quantum Physics · Physics 2007-05-23 Hideo Mabuchi

We present a computational framework to investigate steady state distributions and perform stability analysis for random ordinary differential equations driven by parameter uncertainty. Using the nonlinear Rosenzweig McArthur predator prey…

Dynamical Systems · Mathematics 2026-03-05 Wolfgang Hoegele

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

Data Analysis, Statistics and Probability · Physics 2022-12-14 Martin Heßler , Oliver Kamps

In this paper, a new technique is applied to conduct mode identification using ambient measurement data. The proposed hybrid measurement- and model-based method can accurately estimate the system state matrix in ambient conditions, the…

Signal Processing · Electrical Eng. & Systems 2018-03-21 Xiaozhe Wang , Ilias Zenelis

This paper is concerned with the problem of distributed Kalman filtering in a network of interconnected subsystems with distributed control protocols. We consider networks, which can be either homogeneous or heterogeneous, of linear…

Systems and Control · Computer Science 2017-11-22 Damian Marelli , Mohsen Zamani , Minyue Fu

In this paper, we propose a novel algorithm for learning the Koopman operator of a dynamical system from a \textit{small} amount of training data. In many applications of data-driven modeling, e.g. biological network modeling,…

Dynamical Systems · Mathematics 2021-03-09 Subhrajit Sinha , Umesh Vaidya , Enoch Yeung

We propose a novel method for fast and scalable evaluation of periodic solutions of systems of ordinary differential equations for a given set of parameter values and initial conditions. The equations governing the system dynamics are…

Dynamical Systems · Mathematics 2016-05-30 I. Yu. Tyukin , A. N. Gorban , T. A. Tyukina , J. Al Ameri , Yu. A. Korablev

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

Statistical Mechanics · Physics 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin