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We propose a novel framework to solve PDEs on moving manifolds, where the evolving surface is represented by a moving point cloud. This has the advantage of avoiding the need to discretize the bulk volume around the surface, while also…

Numerical Analysis · Mathematics 2019-06-20 Pratik Suchde , Joerg Kuhnert

Physical simulators have been widely used in robot planning and control. Among them, differentiable simulators are particularly favored, as they can be incorporated into gradient-based optimization algorithms that are efficient in solving…

Advancements in machine learning for molecular property prediction have improved accuracy but at the expense of higher computational cost and longer training times. Recently, the Joint Multi-domain Pre-training (JMP) foundation model has…

Machine Learning · Computer Science 2025-04-29 Yasir Ghunaim , Andrés Villa , Gergo Ignacz , Gyorgy Szekely , Motasem Alfarra , Bernard Ghanem

Differentiating through constrained optimization problems is increasingly central to learning, control, and large-scale decision-making systems, yet practical integration remains challenging due to solver specialization and interface…

The compressible reacting flow numerical solver is an essential tool in the study of combustion, energy disciplines, as well as in the design of industrial power and propulsion devices. We have established the first JAX-based…

Fluid Dynamics · Physics 2025-04-21 Haocheng Wen , Faxuan Luo , Sheng Xu , Bing Wang

We present a novel, JAX-powered implementation of a parametric component-separation method for CMB polarization data, explicitly designed to handle spatially varying foreground Spectral Energy Distributions (SEDs). The approach models this…

We introduce an efficient open-source python package for the inverse design of three-dimensional photonic nanostructures using the Finite-Difference Time-Domain (FDTD) method. Leveraging a flexible reverse-mode automatic differentiation…

The Material Point Method (MPM) is a hybrid Eulerian Lagrangian simulation technique for solid mechanics with significant deformation. Structured background grids are commonly employed in the standard MPM, but they may give rise to several…

Computational Engineering, Finance, and Science · Computer Science 2024-08-02 Yadi Cao , Yidong Zhao , Minchen Li , Yin Yang , Jinhyun Choo , Demetri Terzopoulos , Chenfanfu Jiang

We present jax-cosmo, a library for automatically differentiable cosmological theory calculations. It uses the JAX library, which has created a new coding ecosystem, especially in probabilistic programming. As well as batch acceleration,…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-01 Jean-Eric Campagne , François Lanusse , Joe Zuntz , Alexandre Boucaud , Santiago Casas , Minas Karamanis , David Kirkby , Denise Lanzieri , Yin Li , Austin Peel

We introduce Deep Jump Gaussian Processes (DJGP), a novel method for surrogate modeling of a piecewise continuous function on a high-dimensional domain. DJGP addresses the limitations of conventional Jump Gaussian Processes (JGP) in…

Machine Learning · Computer Science 2026-01-16 Yang Xu , Chiwoo Park

Differentiable physics simulation provides an avenue to tackle previously intractable challenges through gradient-based optimization, thereby greatly improving the efficiency of solving robotics-related problems. To apply differentiable…

Robotics · Computer Science 2025-04-08 Min Liu , Gang Yang , Siyuan Luo , Lin Shao

Modeling deformable objects - especially continuum materials - in a way that is physically plausible, generalizable, and data-efficient remains challenging across 3D vision, graphics, and robotic manipulation. Many existing methods…

Robotics · Computer Science 2026-01-27 Yunuo Chen , Yafei Hu , Lingfeng Sun , Tushar Kusnur , Laura Herlant , Chenfanfu Jiang

Physical systems are governed by partial differential equations (PDEs). The Navier-Stokes equations describe fluid flows and are representative of nonlinear physical systems with complex spatio-temporal interactions. Fluid flows are…

Fluid Dynamics · Physics 2022-10-05 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams

A number of recent studies have focused on developing surgical simulation platforms to train machine learning (ML) agents or models with synthetic data for surgical assistance. While existing platforms excel at tasks such as rigid body…

Robotics · Computer Science 2025-07-04 Yafei Ou , Mahdi Tavakoli

Experimental and field investigations for solution mining processes have improved intensely in recent years. Due to today's computing capacities, three-dimensional simulations of potential salt solution caverns can further enhance the…

Fluid Dynamics · Physics 2020-08-26 Isabel Michel , Tobias Seifarth , Joerg Kuhnert , Pratik Suchde

This project aims to advance differentiable fluid dynamics for hypersonic coupled flow over porous media, demonstrating the potential of automatic differentiation (AD)-based optimization for end-to-end solutions. Leveraging AD efficiently…

Fluid Dynamics · Physics 2024-07-01 Wenkang Wang , Xuanwei Zhang , Deniz Bezgin , Aaron Buhendwa , Xu Chu , Bernhard Weigand

The formation of the large-scale structure, the evolution and distribution of galaxies, quasars, and dark matter on cosmological scales, requires numerical simulations. Differentiable simulations provide gradients of the cosmological…

Instrumentation and Methods for Astrophysics · Physics 2022-11-21 Yin Li , Libin Lu , Chirag Modi , Drew Jamieson , Yucheng Zhang , Yu Feng , Wenda Zhou , Ngai Pok Kwan , François Lanusse , Leslie Greengard

We present CosmoPower-JAX, a JAX-based implementation of the CosmoPower framework, which accelerates cosmological inference by building neural emulators of cosmological power spectra. We show how, using the automatic differentiation, batch…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-27 D. Piras , A. Spurio Mancini

Gaussian process (GP) regression with 1D inputs can often be performed in linear time via a stochastic differential equation formulation. However, for non-Gaussian likelihoods, this requires application of approximate inference methods…

Machine Learning · Computer Science 2020-07-20 Paul E. Chang , William J. Wilkinson , Mohammad Emtiyaz Khan , Arno Solin

Sequential robot manipulation tasks require finding collision-free trajectories that satisfy geometric constraints across multiple object interactions in potentially high-dimensional configuration spaces. Solving these problems in real-time…

Robotics · Computer Science 2025-10-14 Lucas Chen , Shrutheesh Raman Iyer , Zachary Kingston