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Solving complex fluid-structure interaction (FSI) problems, which are described by nonlinear partial differential equations, is crucial in various scientific and engineering applications. Traditional computational fluid dynamics based…

Computational Physics · Physics 2023-03-24 Xiantao Fan , Jian-Xun Wang

Prompt learning is an effective way to exploit the potential of large-scale pre-trained foundational models. Continuous prompts parameterize context tokens in prompts by turning them into differentiable vectors. Deep continuous prompts…

Machine Learning · Computer Science 2025-01-03 Zhenhan Huang , Tejaswini Pedapati , Pin-Yu Chen , Jianxi Gao

Deformable Object Manipulation (DOM) is of significant importance to both daily and industrial applications. Recent successes in differentiable physics simulators allow learning algorithms to train a policy with analytic gradients through…

Robotics · Computer Science 2023-03-13 Siwei Chen , Yiqing Xu , Cunjun Yu , Linfeng Li , Xiao Ma , Zhongwen Xu , David Hsu

We developed a portable code for dissipative particle dynamics (DPD) simulations. This Fortran program named CAMUS has a couple of notable features. One is the omission of constructing the so-called neighboring particles list, providing a…

Chemical Physics · Physics 2018-07-03 Hideo Doi , Koji Okuwaki , Takamitsu Naito , Sona Saitou , Yuji Mochizuki

Differentiable programming has emerged as a structural prerequisite for gradient-based inverse problems and end-to-end hybrid physics--machine learning in computational fluid dynamics. However, existing differentiable CFD platforms are…

Mathematical Software · Computer Science 2026-03-18 Pan Du , Yongqi Li , Mingqi Xu , Jian-Xun Wang

Test-time scaling has emerged as a promising approach for improving code generation by exploring large solution spaces at inference time. However, existing methods often rely on public test cases that are unavailable in practice, or require…

Software Engineering · Computer Science 2026-05-21 Yifeng He , Ethan Wang , Jicheng Wang , Xuanxin Ouyang , Hao Chen

Deep learning is moving towards increasingly sophisticated optimization objectives that employ higher-order functions, such as integration, continuous optimization, and root-finding. Since differentiable programming frameworks such as…

Programming Languages · Computer Science 2021-04-15 Benjamin Sherman , Jesse Michel , Michael Carbin

This paper introduces open-source computational fluid dynamics software named open computational fluid dynamic code for scientific computation with graphics processing unit (GPU) system (OpenCFD-SCU), developed by the authors for direct…

Fluid Dynamics · Physics 2022-12-21 Guanlin Dang , Shiwei Liu , Tongbiao Guo , Junyi Duan , Xinliang Li

A central challenge in program induction has long been the trade-off between symbolic and neural approaches. Symbolic methods offer compositional generalisation and data efficiency, yet their scalability is constrained by formalisms such as…

Machine Learning · Computer Science 2026-04-22 Matthew V. Macfarlane , Clément Bonnet , Herke van Hoof , Levi H. S. Lelis

Musculoskeletal robots provide superior advantages in flexibility and dexterity, positioning them as a promising frontier towards embodied intelligence. However, current research is largely confined to relative simple tasks, restricting the…

Robotics · Computer Science 2026-03-10 Wentao Zhao , Jun Guo , Kangyao Huang , Xin Liu , Huaping Liu

We present an open-source library of natively differentiable physics and robotics environments, accompanied by gradient-based control methods and a benchmark-ing suite. The introduced environments allow auto-differentiation through the…

Discrete structures are currently second-class in differentiable programming. Since functions over discrete structures lack overt derivatives, differentiable programs do not differentiate through them and limit where they can be used. For…

Programming Languages · Computer Science 2025-11-20 Joey Velez-Ginorio , Nada Amin , Konrad Kording , Steve Zdancewic

Differentiable physics is a powerful approach to learning and control problems that involve physical objects and environments. While notable progress has been made, the capabilities of differentiable physics solvers remain limited. We…

Machine Learning · Computer Science 2020-07-07 Yi-Ling Qiao , Junbang Liang , Vladlen Koltun , Ming C. Lin

The growth of data to be processed in the Oil & Gas industry matches the requirements imposed by evolving algorithms based on stencil computations, such as Full Waveform Inversion and Reverse Time Migration. Graphical processing units…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-05 Vitor Hugo Mickus Rodrigues , Lucas Cavalcante , Maelso Bruno Pereira , Fabio Luporini , István Reguly , Gerard Gorman , Samuel Xavier de Souza

Simulating spatiotemporal turbulence with high fidelity remains a cornerstone challenge in computational fluid dynamics (CFD) due to its intricate multiscale nature and prohibitive computational demands. Traditional approaches typically…

Fluid Dynamics · Physics 2024-07-01 Xiantao Fan , Deepak Akhare , Jian-Xun Wang

We present a parallelized differentiable traffic simulator based on the Intelligent Driver Model (IDM), a car-following framework that incorporates driver behavior as key variables. Our vehicle simulator efficiently models vehicle motion,…

Robotics · Computer Science 2025-02-19 Sanghyun Son , Laura Zheng , Brian Clipp , Connor Greenwell , Sujin Philip , Ming C. Lin

We introduce JAX MD, a software package for performing differentiable physics simulations with a focus on molecular dynamics. JAX MD includes a number of physics simulation environments, as well as interaction potentials and neural networks…

Computational Physics · Physics 2020-12-04 Samuel S. Schoenholz , Ekin D. Cubuk

We introduce a general formulation for automatic differentiation through direct form filters, yielding a closed-form backpropagation that includes initial condition gradients. The result is a single expression that can represent both the…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Chin-Yun Yu , György Fazekas

Derivatives of computer graphics, image processing, and deep learning algorithms have tremendous use in guiding parameter space searches, or solving inverse problems. As the algorithms become more sophisticated, we no longer only need to…

Graphics · Computer Science 2019-08-30 Tzu-Mao Li

Rigid body dynamics algorithms play a crucial role in several components of a robot controller and simulations. Real time constraints in high frequency control loops and time requirements of specific applications demand these functions to…

Robotics · Computer Science 2013-01-31 Marco Frigerio , Jonas Buchli , Darwin G. Caldwell