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We discuss a quantum typicality approach to examine systems composed of two subsystems at different temperatures. While dynamical quantum typicality is usually used to simulate high-temperature dynamics, we also investigate low-temperature…

Statistical Mechanics · Physics 2026-02-12 Laurenz Beckemeyer , Markus Kraft , Mariel Kempa , Dirk Schuricht , Robin Steinigeweg

In this work, we introduce new methods for the quantization, decomposition, and extraction (from electromagnetic simulations) of lumped-element circuit models for superconducting quantum devices. Our flux-charge symmetric procedures center…

Quantum Physics · Physics 2024-12-11 Basil M. Smitham , Andrew A. Houck

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

Systems and Control · Electrical Eng. & Systems 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

In certain situations, neural networks will represent environment states in their hidden activations. Our goal is to visualize what environment states the networks are representing. We experiment with a recurrent neural network (RNN)…

Machine Learning · Computer Science 2024-05-13 Nevan Wichers , Victor Tao , Riccardo Volpato , Fazl Barez

Decision circuits have been developed to perform efficient evaluation of influence diagrams [Bhattacharjya and Shachter, 2007], building on the advances in arithmetic circuits for belief network inference [Darwiche,2003]. In the process of…

Artificial Intelligence · Computer Science 2012-06-18 Debarun Bhattacharjya , Ross D. Shachter

In this paper we consider complex dynamical networks modeled by means of state space systems running in discrete time. We assume that the dependency structure of the variables within the (nonlinear) network equations is known and use…

Optimization and Control · Mathematics 2017-03-27 Jacob van der Woude

A foremost challenge in modern network science is the inverse problem of reconstruction (inference) of coupling equations and network topology from the measurements of the network dynamics. Of particular interest are the methods that can…

Chaotic Dynamics · Physics 2019-10-31 Isao T. Tokuda , Zoran Levnajic , Kazuyoshi Ishimura

We introduce a neural network-driven robust optimisation framework that integrates data-driven domain as a constraint into the nonlinear programming technique, addressing the overlooked issue of domain-inconsistent solutions arising from…

Machine Learning · Computer Science 2025-10-17 Waqar Muhammad Ashraf , Talha Ansar , Abdulelah S. Alshehri , Peipei Chen , Ramit Debnath , Vivek Dua

Our Society is in high need of alternatives to fossil fuels. Nanoporous systems filled with aqueous electrolytes show great promises for harvesting the osmotic energy of sea water or waste heat. At the core of energy conversion in such…

Fluid Dynamics · Physics 2022-04-29 Cecilia Herrero , Aymeric Allemand , Samy Merabia , Anne-Laure Biance , Laurent Joly

We perform network analysis of a system described by the master equation to estimate the lower bound of the steady-state current noise, starting from the level 2.5 large deviation function and using the graph theory approach. When the…

Statistical Mechanics · Physics 2024-10-03 Yasuhiro Utsumi

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

Power systems are undergoing unprecedented transformations with the incorporation of larger amounts of renewable energy sources, distributed generation and demand response. All these changes, while potentially making power grids more…

Optimization and Control · Mathematics 2015-02-06 Krishnamurthy Dvijotham , Steven Low , Michael Chertkov

Understanding the causes and consequences of, and devising countermeasures to, global warming is a profoundly complex problem. Network representations are sometimes the only way forward, and sometimes able to reduce the complexity of the…

Physics and Society · Physics 2022-05-30 Petter Holme , Juan C. Rocha

The functions of many networked systems in physics, biology or engineering rely on a coordinated or synchronized dynamics of its constituents. In power grids for example, all generators must synchronize and run at the same frequency and…

Adaptation and Self-Organizing Systems · Physics 2017-09-13 Debsankha Manik , Marc Timme , Dirk Witthaut

This paper presents a novel approach to stability analysis for grid-connected converters utilizing Scaled Relative Graphs (SRG). Our method effectively decouples grid and converter dynamics, thereby establishing a comprehensive and…

Systems and Control · Electrical Eng. & Systems 2026-01-23 Eder Baron-Prada , Adolfo Anta , Florian Dörfler

The use of machine learning algorithms to investigate phase transitions in physical systems is a valuable way to better understand the characteristics of these systems. Neural networks have been used to extract information of phases and…

Neural and Evolutionary Computing · Computer Science 2025-10-21 Rodrigo Carmo Terin , Zochil González Arenas , Roberto Santana

Random network models, constrained to reproduce specific statistical features, are often used to represent and analyze network data and their mathematical descriptions. Chief among them, the configuration model constrains random networks by…

Social and Information Networks · Computer Science 2025-01-28 Laurent Hébert-Dufresne , Jean-Gabriel Young , Alexander Daniels , Alec Kirkley , Antoine Allard

The high penetration of distributed renewable energy resources in power systems has changed their dynamic behavior, not only at the distribution level but also at the transmission levels. For analyses performed in this new reality of…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Rodrigo A. Ramos , Ahda P. Grilo-Pavani , Artur B. Piardi , Tatiane C. C. Fernandes

These lecture notes provide a comprehensive guide on Grid Modeling of Renewable Energy, offering a foundational overview of power system network modeling, power flow, and load flow algorithms critical for electrical and renewable energy…

Systems and Control · Electrical Eng. & Systems 2024-10-31 Sohail Khan

Biochemical networks are used in computational biology, to model the static and dynamical details of systems involved in cell signaling, metabolism, and regulation of gene expression. Parametric and structural uncertainty, as well as…

Molecular Networks · Quantitative Biology 2014-10-15 Ovidiu Radulescu , Alexander N. Gorban , Andrei Zinovyev , Vincent Noel