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A multi-relaxation-time discrete Boltzmann model (DBM) with split collision is proposed for both subsonic and supersonic compressible reacting flows, where chemical reactions take place among various components. The physical model is based…

Statistical Mechanics · Physics 2024-04-23 Chuandong Lin , Kai H. Luo , Huilin Lai

Estimating parameters of Partial Differential Equations (PDEs) from noisy and indirect measurements often requires solving ill-posed inverse problems. These so called parameter estimation or inverse medium problems arise in a variety of…

Mathematical Software · Computer Science 2016-12-15 Lars Ruthotto , Eran Treister , Eldad Haber

When modeling complex, hierarchical, and time-dynamic systems, such as biological systems, good computational tools are essential. Current tools, while powerful, often lack comprehensive frameworks for modular model composition,…

Quantitative Methods · Quantitative Biology 2025-10-17 Henrik Podéus , Gustav Magnusson , Sasan Keshmiri , Kajsa Tunedal , Nicolas Sundqvist , William Lövfors , Gunnar Cedersund

Effective and accurate model selection is an important problem in modern data analysis. One of the major challenges is the computational burden required to handle large data sets that cannot be stored or processed on one machine. Another…

Machine Learning · Statistics 2018-06-26 Michael Minyi Zhang , Henry Lam , Lizhen Lin

Finger vein authentication, recognized for its high security and specificity, has become a focal point in biometric research. Traditional methods predominantly concentrate on vein feature extraction for discriminative modeling, with a…

Computer Vision and Pattern Recognition · Computer Science 2024-02-06 Yanjun Liu , Wenming Yang , Qingmin Liao

We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks which comprise chemical reaction networks for cellular…

Molecular Networks · Quantitative Biology 2021-03-03 Niclas Kruff , Christoph Lüders , Ovidiu Radulescu , Thomas Sturm , Sebastian Walcher

Model parallelism has become a necessity for training modern large-scale deep language models. In this work, we identify a new and orthogonal dimension from existing model parallel approaches: it is possible to perform pipeline parallelism…

Machine Learning · Computer Science 2021-09-29 Zhuohan Li , Siyuan Zhuang , Shiyuan Guo , Danyang Zhuo , Hao Zhang , Dawn Song , Ion Stoica

In the modern drug discovery process, medicinal chemists deal with the complexity of analysis of large ensembles of candidate molecules. Computational tools, such as dimensionality reduction (DR) and classification, are commonly used to…

Molecular circuits capable of autonomous learning could unlock novel applications in fields such as bioengineering and synthetic biology. To this end, existing chemical implementations of neural computing have mainly relied on emulating…

Machine Learning · Computer Science 2025-09-23 Rajiv Teja Nagipogu , John H. Reif

Approximate Bayesian Computation is widely used to infer the parameters of discrete-state continuous-time Markov networks. In this work, we focus on models that are governed by the Chemical Master Equation (the CME). Whilst originally…

Quantitative Methods · Quantitative Biology 2020-01-10 Christopher Lester

Recent technological advances have expanded the availability of high-throughput biological datasets, enabling the reliable design of digital twins of biomedical systems or patients. Such computational tools represent key reaction networks…

Quantitative Methods · Quantitative Biology 2025-09-03 Clémence Métayer , Annabelle Ballesta , Julien Martinelli

Piecewise smooth hybrid systems, involving continuous and discrete variables, are suitable models for describing the multiscale regulatory machinery of the biological cells. In hybrid models, the discrete variables can switch on and off…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Vincent Noel , Dima Grigoriev , Sergei Vakulenko , Ovidiu Radulescu

We present a novel machine learning approach to understanding conformation dynamics of biomolecules. The approach combines kernel-based techniques that are popular in the machine learning community with transfer operator theory for…

Computational Physics · Physics 2019-01-24 Stefan Klus , Andreas Bittracher , Ingmar Schuster , Christof Schütte

Molecular Dynamics (MD) simulations are ubiquitous in cutting-edge physio-chemical research. They provide critical insights into how a physical system evolves over time given a model of interatomic interactions. Understanding a system's…

Computational Physics · Physics 2023-09-06 Rostyslav Hnatyshyn , Jieqiong Zhao , Danny Perez , James Ahrens , Ross Maciejewski

In the rapidly evolving field of deep learning, specialized models have driven significant advancements in tasks such as computer vision and natural language processing. However, this specialization leads to a fragmented ecosystem where…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Bowen Tian , Songning Lai , Yutao Yue

Computing has revolutionised the study of complex nonlinear systems, both by allowing us to solve previously intractable models and through the ability to visualise solutions in different ways. Using ubiquitous computing infrastructure, we…

Physics Education · Physics 2023-10-18 Benjamin J. Walker , Adam K. Townsend , Alexander K. Chudasama , Andrew L. Krause

We present an improvement of the Gillespie Exact Stochastic Simulation Algorithm, which leverages a bitwise representation of variables to perform independent simulations in parallel. We show that the subsequent gain in computational yield…

Statistical Mechanics · Physics 2024-12-24 David Lacoste , Michele Castellana

The adoption of detailed mechanisms for chemical kinetics often poses two types of severe challenges: First, the number of degrees of freedom is large; and second, the dynamics is characterized by widely disparate time scales. As a result,…

Dynamical Systems · Mathematics 2025-10-01 Eliodoro Chiavazzo , C. William Gear , Carmeline J. Dsilva , Neta Rabin , Ioannis G. Kevrekidis

We compare two recently proposed methods for the characterization of phase transitions in small systems. The usefulness of these techniques is evaluated for the case of structural transition in alanine-based peptides.

Statistical Mechanics · Physics 2007-05-23 Nelson A. Alves , U. H. E. Hansmann , Y. Peng

Simflowny is an open platform which automatically generates efficient parallel code of scientific dynamical models for different simulation frameworks. Here we present major upgrades on this software to support simultaneously a quite…

Computational Physics · Physics 2020-12-02 C. Palenzuela , B. Miñano , A. Arbona , C. Bona-Casas , C. Bona , J. Massó
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