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We describe a package realized in the Julia programming language which performs symbolic manipulations applied to nonlinear evolution equations, their flows, and commutators of such objects. This tool was employed to perform contrived…

Numerical Analysis · Mathematics 2016-05-03 Winfried Auzinger , Harald Hofstaetter , Othmar Koch

Understanding the behaviour of biological systems requires a complex setting of in vitro and in vivo experiments, which attracts high costs in terms of time and resources. The use of mathematical models allows researchers to perform…

Computational Engineering, Finance, and Science · Computer Science 2009-11-30 Thomas Anung Basuki , Antonio Cerone , Rafael V. Carvalho

We introduce DeePKS-kit, an open-source software package for developing machine learning based energy and density functional models. DeePKS-kit is interfaced with PyTorch, an open-source machine learning library, and PySCF, an ab initio…

Chemical Physics · Physics 2021-06-23 Yixiao Chen , Linfeng Zhang , Han Wang , Weinan E

Rule-based models are often used for data analysis as they combine interpretability with predictive power. We present RuleKit, a versatile tool for rule learning. Based on a sequential covering induction algorithm, it is suitable for…

Machine Learning · Computer Science 2020-01-28 Adam Gudyś , Marek Sikora , Łukasz Wróbel

We present DataDeps.jl: a julia package for the reproducible handling of static datasets to enhance the repeatability of scripts used in the data and computational sciences. It is used to automate the data setup part of running software…

Software Engineering · Computer Science 2018-08-06 Lyndon White , Roberto Togneri , Wei Liu , Mohammed Bennamoun

This paper explores some basic concepts of Biochemical Systems Theory (BST) and Metabolic Control Analysis (MCA), two frameworks developed to understand the behavior of biochemical networks. Initially introduced by Savageau, BST focuses on…

Molecular Networks · Quantitative Biology 2024-05-06 Herbert M Sauro

Simulation of biomolecular networks is now indispensable for studying biological systems, from small reaction networks to large ensembles of cells. Here we present a novel approach for stochastic simulation of networks embedded in the…

Quantitative Methods · Quantitative Biology 2016-09-28 Margaritis Voliotis , Philipp Thomas , Ramon Grima , Clive G. Bowsher

Interpreting biological networks becomes challenging when molecular components, such as genes or proteins, participate in numerous interactions, resulting in densely connected regions and overlapping interactions that obscure functional…

Molecular Networks · Quantitative Biology 2025-02-18 Adel Heydarabadipour , Herbert M Sauro

Stochastic reaction-diffusion processes may be presented in terms of integrable quantum chains and can be used to describe various biological and chemical systems. Exploiting the integrability of the models one finds in some cases good…

Condensed Matter · Physics 2007-05-23 Gunter M. Schütz

We present an efficient numerical implementation of the quasi-classical doorway-window approximation, specifically designed for on-the-fly simulations of time-resolved nonlinear spectroscopic signals in the Julia package WaveMixings.jl. The…

Chemical Physics · Physics 2025-09-05 Luis Vasquez , Sebastian Pios , Lipeng Chen , Zhenggang Lan , Wolfgang Domcke , Maxim Gelin

Recently, symbolic computation and computer algebra systems have been successfully applied in systems biology, especially in chemical reaction network theory. One advantage of symbolic computation is its potential for qualitative answers to…

Molecular Networks · Quantitative Biology 2022-01-25 Christoph Lüders , Thomas Sturm , Ovidiu Radulescu

We introduce the third major version of Metatheory.jl, a Julia library for general-purpose metaprogramming and symbolic computation. Metatheory.jl provides a flexible and performant implementation of e-graphs and Equality Saturation (EqSat)…

Programming Languages · Computer Science 2024-06-04 Alessandro Cheli , Niklas Heim

We present the W-SLDA Toolkit, a general-purpose software package for simulating ultracold Fermi gases within the framework of density functional theory and its time-dependent extensions. The toolkit enables fully microscopic studies of…

Quantum Gases · Physics 2026-02-10 Gabriel Wlazłowski , Piotr Magierski , Michael McNeil Forbes , Aurel Bulgac

We introduce DiffOpt.jl, a Julia library to differentiate through the solution of optimization problems with respect to arbitrary parameters present in the objective and/or constraints. The library builds upon MathOptInterface, thus…

Machine Learning · Computer Science 2023-08-01 Mathieu Besançon , Joaquim Dias Garcia , Benoît Legat , Akshay Sharma

Classical methods to simulate quantum systems are not only a key element of the physicist's toolkit for studying many-body models but are also increasingly important for verifying and challenging upcoming quantum computers. Pauli…

Quantum Physics · Physics 2025-05-29 Manuel S. Rudolph , Tyson Jones , Yanting Teng , Armando Angrisani , Zoë Holmes

The modeling of bio-molecular system across molecular scales remains a central challenge in scientific research. Large language models (LLMs) are increasingly applied to bio-molecular discovery, yet systematic evaluation across multi-scale…

Machine Learning · Computer Science 2026-04-07 Yaxin Xu , Yue Zhou , Tianyu Zhao , Fengwei An , Zhixiang Ren

We present \texttt{MathOptAI.jl}, an open-source Julia library for embedding trained machine learning predictors into a JuMP model. \texttt{MathOptAI.jl} can embed a wide variety of neural networks, decision trees, and Gaussian Processes…

Machine Learning · Computer Science 2026-05-26 Oscar Dowson , Robert B Parker , Russel Bent

The open-source software package SolidStateDetectors$.$jl to calculate the fields and simulate the drifts of charge carriers in solid state detectors, together with the corresponding pulses, is introduced. The package can perform all…

Instrumentation and Detectors · Physics 2026-02-17 I. Abt , F. Fischer , F. Hagemann , L. Hauertmann , O. Schulz , M. Schuster , A. J. Zsigmond

We present the preliminary high-level design and features of DynamicPPL.jl, a modular library providing a lightning-fast infrastructure for probabilistic programming. Besides a computational performance that is often close to or better than…

Machine Learning · Computer Science 2020-02-10 Mohamed Tarek , Kai Xu , Martin Trapp , Hong Ge , Zoubin Ghahramani

The Smodels system implements the stable model semantics for normal logic programs. It handles a subclass of programs which contain no function symbols and are domain-restricted but supports extensions including built-in functions as well…

Artificial Intelligence · Computer Science 2007-05-23 Ilkka Niemela , Patrik Simons , Tommi Syrjanen