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We generalize our recent approach to reconstruction of phase dynamics of coupled oscillators from data [B. Kralemann et al., Phys. Rev. E, 77, 066205 (2008)] to cover the case of small networks of coupled periodic units. Starting from the…

Chaotic Dynamics · Physics 2015-05-27 Björn Kralemann , Arkady Pikovsky , Michael Rosenblum

Robust characterization of dynamic causal interactions in multivariate biomedical signals is essential for advancing computational and algorithmic methods in biomedical imaging. Conventional approaches, such as Dynamic Bayesian Networks…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Farwa Abbas , Wei Dai , Zoran Cvetkovic , Verity McClelland

Distributed point charge models (DCM) and their minimal variants (MDCM) have been integrated with tools widely used for condensed-phase simulations, including a virial-based barostat and a slow-growth algorithm for thermodynamic…

Chemical Physics · Physics 2020-11-03 Mike Devereux , Marco Pezzella , Shampa Raghunathan , Markus Meuwly

Data-enabled predictive control (DeePC) for linear systems utilizes data matrices of recorded trajectories to directly predict new system trajectories, which is very appealing for real-life applications. In this paper we leverage the…

Optimization and Control · Mathematics 2024-12-20 Mircea Lazar

High failure rates in cardiac drug development necessitate virtual clinical trials via electrocardiogram (ECG) generation to reduce risks and costs. However, existing ECG generation models struggle to balance morphological realism with…

Machine Learning · Computer Science 2026-03-31 Qian Shao , Bang Du , Zepeng Li , Qiyuan Chen , Jiahe Chen , Hongxia Xu , Jimeng Sun , Jian Wu , Jintai Chen

Electroencephalography (EEG) is a widely used, non-invasive method for capturing brain activity, and is particularly relevant for applications in Brain-Computer Interfaces (BCI). However, collecting high-quality EEG data remains a major…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Henrique de Lima Alexandre , Clodoaldo Aparecido de Moraes Lima

Given data obtained under two sampling conditions, it is often of interest to identify variables that behave differently in one condition than in the other. We introduce a method for differential analysis of second-order behavior called…

Methodology · Statistics 2016-02-26 Kelly Bodwin , Kai Zhang , Andrew Nobel

Based on equivalent-dynamic-linearization model (EDLM), we propose a kind of model predictive control (MPC) for single-input and single-output (SISO) nonlinear or linear systems. After compensating the EDLM with disturbance for…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Feilong Zhang

Phase-amplitude coupling (PAC), a form of cross-frequency interaction, has been implicated in various cognitive functions and, by extension, in neural communication and information integration. Accurately detecting and characterising PAC is…

Neurons and Cognition · Quantitative Biology 2026-03-11 Rajintha Gunawardena , Fei He

Distributed quantum computing (DQC) offers a pathway for scaling up quantum computing architectures beyond the confines of a single chip. Entanglement is a crucial resource for implementing non-local operations in DQC, and it is required to…

Quantum Physics · Physics 2025-03-25 Ji Liu , Allen Zang , Martin Suchara , Tian Zhong , Paul D Hovland

Many real-world systems are often regarded as weakly coupled limit-cycle oscillators, in which each oscillator corresponds to a dynamical system with many degrees of freedom that have collective oscillations. One of the most practical…

Adaptation and Self-Organizing Systems · Physics 2022-11-21 Takahiro Arai , Yoji Kawamura , Toshio Aoyagi

Phase-amplitude coupling (PAC) describes the phenomenon where the power of a high-frequency oscillation evolves with the phase of a low-frequency one. We propose a model that explains the emergence of PAC in two commonly-accepted…

Neurons and Cognition · Quantitative Biology 2021-06-30 Yuzhen Qin , Tommaso Menara , Danielle S. Bassett , Fabio Pasqualetti

Parametric couplings in engineered quantum systems are a powerful tool to control, manipulate and enhance interactions in a variety of platforms. It allows us to bring systems of different energy scales into communication with each other.…

Quantum Physics · Physics 2023-03-15 A. Metelmann

We present a differentiable predictive control (DPC) methodology for learning constrained control laws for unknown nonlinear systems. DPC poses an approximate solution to multiparametric programming problems emerging from explicit nonlinear…

Systems and Control · Electrical Eng. & Systems 2021-07-27 Jan Drgona , Aaron Tuor , Soumya Vasisht , Elliott Skomski , Draguna Vrabie

This paper considers the extension of data-enabled predictive control (DeePC) to nonlinear systems via general basis functions. Firstly, we formulate a basis functions DeePC behavioral predictor and we identify necessary and sufficient…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Mircea Lazar

Discrete choice models (DCMs) have been widely utilized in various scientific fields, especially economics, for many years. These models consider a stochastic environment influencing each decision maker's choices. Extensive research has…

General Economics · Economics 2026-01-13 Amirreza Talebi

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

Probabilistic forecasts in the form of ensemble of scenarios are required for complex decision making processes. Ensemble forecasting systems provide such products but the spatio-temporal structures of the forecast uncertainty is lost when…

Applications · Statistics 2016-12-21 Zied Ben Bouallegue , Tobias Heppelmann , Susanne E. Theis , Pierre Pinson

By spreading phases on the unit circle, desynchronization algorithm is a powerful tool to achieve round-robin scheduling, which is crucial in applications as diverse as media access control of communication networks, realization of…

Systems and Control · Computer Science 2016-03-11 Huan Gao , Yongqiang Wang

The Global Change Analysis Model (GCAM) simulates complex interactions between the coupled Earth and human systems, providing valuable insights into the co-evolution of land, water, and energy sectors under different future scenarios.…