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Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problems. Physics-based models rely on the physical understanding…

Numerical Analysis · Mathematics 2025-04-04 Alfio Quarteroni , Paola Gervasio , Francesco Regazzoni

Differentiable simulators continue to push the state of the art across a range of domains including computational physics, robotics, and machine learning. Their main value is the ability to compute gradients of physical processes, which…

Robotics · Computer Science 2024-07-09 Rhys Newbury , Jack Collins , Kerry He , Jiahe Pan , Ingmar Posner , David Howard , Akansel Cosgun

We introduce SciWING, an open-source software toolkit which provides access to pre-trained models for scientific document processing tasks, inclusive of citation string parsing and logical structure recovery. SciWING enables researchers to…

Digital Libraries · Computer Science 2020-10-26 Abhinav Ramesh Kashyap , Min-Yen Kan

Applications integrating analysis components require a programmable interface which defines statistical operations independently of any programming language. By separating concerns of scientific computing from application and implementation…

Computation · Statistics 2014-06-19 Jeroen Ooms

Differentiation is a cornerstone of computing and data analysis in every discipline of science and engineering. Indeed, most fundamental physics laws are expressed as relationships between derivatives in space and time. However, derivatives…

Numerical Analysis · Mathematics 2026-03-10 Pavel Komarov , Floris van Breugel , J. Nathan Kutz

Scientific computing is currently performed by writing domain specific modeling frameworks for solving special classes of mathematical problems. Since applied category theory provides abstract reasoning machinery for describing and…

Category Theory · Mathematics 2020-07-01 Micah Halter , Evan Patterson , Andrew Baas , James Fairbanks

Artificial Intelligence has gained a lot of traction in the recent years, with machine learning notably starting to see more applications across a varied range of fields. One specific machine learning application that is of interest to us…

Software Engineering · Computer Science 2023-05-10 Teodor Rares Begu

Models of complicated systems can be represented in different ways - in scientific papers, they are represented using natural language text as well as equations. But to be of real use, they must also be implemented as software, thus making…

Rapid advances in deep learning have brought not only myriad powerful neural networks, but also breakthroughs that benefit established scientific research. In particular, automatic differentiation (AD) tools and computational accelerators…

Instrumentation and Methods for Astrophysics · Physics 2024-02-13 Yin Li , Chirag Modi , Drew Jamieson , Yucheng Zhang , Libin Lu , Yu Feng , François Lanusse , Leslie Greengard

Scientific computing is an essential tool for scientific discovery and engineering design, and its computational cost is always a main concern in practice. To accelerate scientific computing, it is a promising approach to use machine…

Machine Learning · Computer Science 2024-05-07 Sohei Arisaka , Qianxiao Li

JuMP is an open-source modeling language that allows users to express a wide range of optimization problems (linear, mixed-integer, quadratic, conic-quadratic, semidefinite, and nonlinear) in a high-level, algebraic syntax. JuMP takes…

Optimization and Control · Mathematics 2017-05-08 Iain Dunning , Joey Huchette , Miles Lubin

The Fast Fourier Transform (FFT) is a fundamental numerical technique with widespread application in a range of scientific problems. As scientific simulations attempt to exploit exascale systems, there has been a growing demand for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Sana Taghipour Anvari , Julian Samaroo , Matin Raayai Ardakani , David Kaeli

Intelligent agents need a physical understanding of the world to predict the impact of their actions in the future. While learning-based models of the environment dynamics have contributed to significant improvements in sample efficiency…

Machine Learning · Computer Science 2020-05-20 Eric Heiden , David Millard , Hejia Zhang , Gaurav S. Sukhatme

High-precision scientific simulation faces a long-standing trade-off between computational efficiency and physical fidelity. To address this challenge, we propose NeuralOGCM, an ocean modeling framework that fuses differentiable programming…

Machine Learning · Computer Science 2025-12-15 Hao Wu , Yuan Gao , Fan Xu , Fan Zhang , Guangliang Liu , Yuxuan Liang , Xiaomeng Huang

High Performance Distributed Computing is essential to boost scientific progress in many areas of science and to efficiently deploy a number of complex scientific applications. These applications have different characteristics that require…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-04 Mariza Ferro , Antonio R. Mury , Laion F. Manfroi , Bruno Schlze

Performant numerical solving of differential equations is required for large-scale scientific modeling. In this manuscript we focus on two questions: (1) how can researchers empirically verify theoretical advances and consistently compare…

Software Engineering · Computer Science 2018-07-18 Christopher Rackauckas , Qing Nie

The expanding hardware diversity in high performance computing adds enormous complexity to scientific software development. Developers who aim to write maintainable software have two options: 1) To use a so-called data locality abstraction…

Software Engineering · Computer Science 2023-11-10 Andreas Hadjigeorgiou , Christodoulos Stylianou , Michele Weiland , Dirk Jacob Verschuur , Jacob Finkenrath

The splitting method is a powerful method for solving partial differential equations. Various splitting methods have been designed to separate different physics, nonlinearities, and so on. Recently, a new splitting approach has been…

Numerical Analysis · Mathematics 2023-03-22 Yalchin Efendiev , Wing Tat Leung , Wenyuan Li , Zecheng Zhang

The study of Complex Systems is considered by many to be a new scientific field, and is distinguished by being a discipline that has applications within many separate areas of scientific study. The study of Neural Networks, Traffic…

Networking and Internet Architecture · Computer Science 2007-05-23 Jeffrey B. Smith

Value independence is enormously beneficial for reasoning about software systems at scale. These benefits carry over into the world of formal verification. Reasoning about programs algebraically is a simple affair in a proof assistant,…

Programming Languages · Computer Science 2026-02-09 Liam O'Connor , Pilar Selene Linares Arevalo , Christine Rizkallah