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Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

The Single-Particle Model (SPM) of Li ion cell \cite{Santhanagopalan06, Guo2011} is a computationally efficient and fairly accurate model for simulating Li ion cell cycling behavior at weak to moderate currents. The model depends on a large…

Computational Physics · Physics 2019-12-13 Michael Khasin , Chetan S. Kulkarni , Kai Goebel

Single-cell technologies are revolutionizing the entire field of biology. The large volumes of data generated by single-cell technologies are high-dimensional, sparse, heterogeneous, and have complicated dependency structures, making…

The quantification of controllability and observability has recently received new interest in the context of large, complex networks of dynamical systems. A fundamental but computationally difficult problem is the placement or selection of…

Optimization and Control · Mathematics 2016-11-15 Fabrizio L. Cortesi , Tyler H. Summers , John Lygeros

The success of software model checking depends on finding an appropriate abstraction of the subject program. The choice of the abstract domain and the analysis configuration is currently left to the user, who may not be familiar with the…

Software Engineering · Computer Science 2013-05-30 Sven Apel , Dirk Beyer , Karlheinz Friedberger , Franco Raimondi , Alexander von Rhein

We introduce a method of exploring potential energy contours in complex dynamical systems based on potentiostatic kinematics wherein the systems are evolved with minimal changes to their potential energy. We construct a simple iterative…

Computational Physics · Physics 2022-04-13 Michael J. Waters , James M. Rondinelli

Model merging combines multiple homologous models into one model, achieving convincing generalization without the necessity of additional training. A key challenge in this problem is resolving parameter redundancies and conflicts across…

Computation and Language · Computer Science 2024-08-20 Fanshuang Kong , Richong Zhang , Ziqiao Wang

I review the approach [1] to the one-loop low-energy effective action in the hypermultiplet sector for N=2 superconformal models. Any such a model contains an N=2 vector multiplet and some number of hypermultiplets. We found a general…

High Energy Physics - Theory · Physics 2008-05-22 N. G. Pletnev

This paper examines model parameter estimation in dynamic power systems whose governing electro-mechanical equations are ill-conditioned or singular. This ill-conditioning is because of converter-interfaced power systems generators' zero or…

Systems and Control · Electrical Eng. & Systems 2022-08-10 Rajasekhar Anguluri , Lalitha Sankar , Oliver Kosut

We develop an efficient estimation procedure for identifying and estimating the central subspace. Using a new way of parameterization, we convert the problem of identifying the central subspace to the problem of estimating a finite…

Statistics Theory · Mathematics 2013-04-03 Yanyuan Ma , Liping Zhu

By dynamic planning, we refer to the ability of the human brain to infer and impose motor trajectories related to cognitive decisions. A recent paradigm, active inference, brings fundamental insights into the adaptation of biological…

Artificial Intelligence · Computer Science 2024-11-13 Matteo Priorelli , Ivilin Peev Stoianov

In the paper a mathematical model of the PEN structure (positive electrode - electrolyte - negative electrode) of the Solid Oxide Fuel Cell (SOFC) is analyzed. It is proved that classical formulation of the problem leads inevitably to…

Numerical Analysis · Mathematics 2021-04-21 Michal Wrobel , Grzegorz Brus

The complex dynamics that lead to the emergence of active regions on the sun are poorly understood. One possibility is that magnetic structures (flux tubes, etc.) rise from below the surface by self induction and convection that lead to the…

Solar and Stellar Astrophysics · Physics 2009-01-30 T. Hartlep , A. G. Kosovichev , J. Zhao , N. N. Mansour

We present a simple activity based on the liquid-drop model which allows secondary school students to explore the uses of mathematical models and gain an intuitive understanding of the concept of binding energy, and in particular the…

Nuclear Theory · Physics 2021-05-06 A. Pastore , A. M. Romero , C. Diget , A. Rios , K. Leech , P. Stokoe

Efficient exploration is an unsolved problem in Reinforcement Learning which is usually addressed by reactively rewarding the agent for fortuitously encountering novel situations. This paper introduces an efficient active exploration…

Machine Learning · Computer Science 2019-06-17 Pranav Shyam , Wojciech Jaśkowski , Faustino Gomez

We investigate how the constraints on cosmological and astrophysical parameters ($\Omega_{\rm m}$, $\sigma_{8}$, $A_{\rm SN1}$, $A_{\rm SN2}$) vary when exploiting information from multiple fields in cosmology. We make use of a…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-05 Sambatra Andrianomena , Sultan Hassan

In optimization routines used for on-line Model Predictive Control (MPC), linear systems of equations are usually solved in each iteration. This is true both for Active Set (AS) methods as well as for Interior Point (IP) methods, and for…

Optimization and Control · Mathematics 2014-01-08 Daniel Axehill

Performing reliability analysis on complex systems is often computationally expensive. In particular, when dealing with systems having high input dimensionality, reliability estimation becomes a daunting task. A popular approach to overcome…

Machine Learning · Statistics 2021-12-22 Navaneeth N. , Souvik Chakraborty

Machine learning has been widely applied to clearly defined problems of astronomy and astrophysics. However, deep learning and its conceptual differences to classical machine learning have been largely overlooked in these fields. The broad…

Instrumentation and Methods for Astrophysics · Physics 2024-10-15 Nima Sedaghat , Martino Romaniello , Jonathan E. Carrick , François-Xavier Pineau

Model-Based Reinforcement Learning involves learning a \textit{dynamics model} from data, and then using this model to optimise behaviour, most often with an online \textit{planner}. Much of the recent research along these lines presents a…

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