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Intracellular protein patterns regulate many vital cellular functions, such as the processing of spatiotemporal information or the control of shape deformations. To do so, pattern-forming systems can be sensitive to the cell geometry by…

Biological Physics · Physics 2024-05-15 Tom Burkart , Benedikt J. Müller , Erwin Frey

Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation (ABC) method based on sequential Monte…

Computation · Statistics 2009-01-15 Tina Toni , David Welch , Natalja Strelkowa , Andreas Ipsen , Michael P. H. Stumpf

Model Predictive Control (MPC) is a powerful control strategy; however, its reliance on online optimization poses significant challenges for implementation on systems with limited computational resources. One possible approach to address…

Optimization and Control · Mathematics 2025-02-19 Hassan Jafari Ozoumchelooei , Mehdi Hosseinzadeh

Structural monitoring for complex built environments often suffers from mismatch between design, laboratory testing, and actual built parameters. Additionally, real-world structural identification problems encounter many challenges. For…

Machine Learning · Computer Science 2022-08-29 Xuyang Li , Hamed Bolandi , Talal Salem , Nizar Lajnef , Vishnu Naresh Boddeti

This paper introduces a methodology for identifying and simulating financial and economic systems using stochastically structured reservoir computers (SSRCs). The framework combines structure-preserving embeddings with graph-informed…

Optimization and Control · Mathematics 2025-11-20 Lendy Banegas , Fredy Vides

Safety-critical control using high-dimensional sensory feedback from optical data (e.g., images, point clouds) poses significant challenges in domains like autonomous driving and robotic surgery. Control can rely on low-dimensional states…

Chemical space which encompasses all stable compounds is unfathomably large and its dimension scales linearly with the number of atoms considered. The success of machine learning methods suggests that many physical quantities exhibit…

Chemical Physics · Physics 2025-07-04 Ali Banjafar , Guido Falk von Rudorff

A goal in the kinetic characterization of a macromolecular system is the description of its slow relaxation processes, involving (i) identification of the structural changes involved in these processes, and (ii) estimation of the rates or…

Chemical Physics · Physics 2015-06-15 Guillermo Perez-Hernandez , Fabian Paul , Toni Giorgino , Gianni de Fabritiis , Frank Noé

Control of multistable dynamical system has important applications, from physics to biology. Here, we attack this problem from the perspective of local sensitivity analysis. We develop sensitivity rules to control properties of…

Optimization and Control · Mathematics 2022-06-08 Rodrigo Moreno-Morton , Alessio Franci

We present an efficient parametric model checking (PMC) technique for the analysis of software performability, i.e., of the performance and dependability properties of software systems. The new PMC technique works by automatically…

Logic in Computer Science · Computer Science 2022-10-25 Xinwei Fang , Radu Calinescu , Simos Gerasimou , Faisal Alhwikem

To evaluate the cyclic behavior under different loading conditions using the kinematic and isotropic hardening theory of steel, a Chaboche viscoplastic material model is employed. The parameters of a constitutive model are usually…

Computational Engineering, Finance, and Science · Computer Science 2019-06-26 Ehsan Adeli , Hermann G. Matthies

A stochastic mode reduction strategy is applied to multiscale models with a deterministic energy-conserving fast sub-system. Specifically, we consider situations where the slow variables are driven stochastically and interact with the fast…

Probability · Mathematics 2014-10-14 Ankita Jain , Ilya Timofeyev , Eric Vanden-Eijnden

We present a new method for statistical process control (SPC) of a discrete part manufacturing system based on intrinsic geometrical properties of the parts, estimated from three-dimensional sensor data. An intrinsic method has the…

Applications · Statistics 2020-07-13 Xueqi Zhao , Enrique del Castillo

Molecular simulations can provide microscopic insight into the physical and chemical driving forces of complex molecular processes. Despite continued advancement of simulation methodology, model errors may lead to inconsistencies between…

Chemical Physics · Physics 2016-02-12 Joseph F. Rudzinski , Kurt Kremer , Tristan Bereau

Modeling and parameter estimation for neuronal dynamics are often challenging because many parameters can range over orders of magnitude and are difficult to measure experimentally. Moreover, selecting a suitable model complexity requires a…

Dynamical Systems · Mathematics 2018-01-31 J. E. Rubin , B. Krauskopf , H. M. Osinga

We present a novel kernel-based machine learning algorithm for identifying the low-dimensional geometry of the effective dynamics of high-dimensional multiscale stochastic systems. Recently, the authors developed a mathematical framework…

Dynamical Systems · Mathematics 2020-02-04 Andreas Bittracher , Stefan Klus , Boumediene Hamzi , Péter Koltai , Christof Schütte

A newly developed sensitivity-driven approach is employed to study the role of energetic particles in suppressing turbulence-inducing micro-instabilities for a set of realistic JET-like cases with NBI deuterium and ICRH $^3$He fast ions.…

Plasma Physics · Physics 2021-05-26 Ionut-Gabriel Farcas , Alessandro Di Siena , Frank Jenko

Computer simulation models are widely used to study complex physical systems. A related fundamental topic is the inverse problem, also called calibration, which aims at learning about the values of parameters in the model based on…

Methodology · Statistics 2024-01-03 Yang Li , Shifeng Xiong

The availability of big data in materials science offers new routes for analyzing materials properties and functions and achieving scientific understanding. Finding structure in these data that is not directly visible by standard tools and…

Given a set of response observations for a parametrized dynamical system, we seek a parametrized dynamical model that will yield uniformly small response error over a range of parameter values yet has low order. Frequently, access to…

Numerical Analysis · Mathematics 2018-08-20 Alexander Grimm , Christopher Beattie , Zlatko Drmač , Serkan Gugercin