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Validating robotic systems in safety-critical appli-cations requires testing in many scenarios including rare edgecases that are unlikely to occur, requiring to complement real-world testing with testing in simulation. Generative models…

Machine Learning · Computer Science 2024-03-19 Johannes Fischer , Kevin Rösch , Martin Lauer , Christoph Stiller

Foundation models for partial differential equations (PDEs) have emerged as powerful surrogates pre-trained on diverse physical systems, but adapting them to new downstream tasks remains challenging due to limited task-specific data and…

Machine Learning · Computer Science 2026-03-17 Vlad Medvedev , Leon Armbruster , Christopher Straub , Georg Kruse , Andreas Rosskopf

Inference-time alignment enables large language models (LLMs) to generate outputs aligned with end-user preferences without further training. Recent post-training methods achieve this by using small guidance models to modify token…

Artificial Intelligence · Computer Science 2025-11-14 Sarat Chandra Bobbili , Ujwal Dinesha , Dheeraj Narasimha , Srinivas Shakkottai

Physics-informed neural networks (PINNs) provide a promising machine learning framework for solving partial differential equations, but their training often breaks down on challenging problems, sometimes converging to physically incorrect…

Machine Learning · Computer Science 2026-04-28 Sifan Wang , Shawn Koohy , Yiping Lu , Paris Perdikaris

Solving time-dependent partial differential equations (PDEs) is fundamental to modeling critical phenomena across science and engineering. Physics-Informed Neural Networks (PINNs) solve PDEs using deep learning. However, PINNs perform…

Machine Learning · Computer Science 2025-08-25 Mayank Nagda , Jephte Abijuru , Phil Ostheimer , Marius Kloft , Sophie Fellenz

Sampling efficiently from a target unnormalized probability density remains a core challenge, with relevance across countless high-impact scientific applications. A promising approach towards this challenge is the design of amortized…

Solving Partial Differential Equations (PDEs) is the core of many fields of science and engineering. While classical approaches are often prohibitively slow, machine learning models often fail to incorporate complete system information.…

Machine Learning · Computer Science 2024-02-13 Cooper Lorsung , Zijie Li , Amir Barati Farimani

Self-supervised learning is a powerful approach for developing traversability models for off-road navigation, but these models often struggle with inputs unseen during training. Existing methods utilize techniques like evidential deep…

Physics-informed methods have gained a great success in analyzing data with partial differential equation (PDE) constraints, which are ubiquitous when modeling dynamical systems. Different from the common penalty-based approach, this work…

Methodology · Statistics 2024-10-08 Tongyu Li , Fang Yao

High-fidelity simulation of complex physical systems is exorbitantly expensive and inaccessible across spatiotemporal scales. Recently, there has been an increasing interest in leveraging deep learning to augment scientific data based on…

Machine Learning · Computer Science 2022-08-03 Pu Ren , Chengping Rao , Yang Liu , Zihan Ma , Qi Wang , Jian-Xun Wang , Hao Sun

Modeling the dynamics of real-world physical systems is critical for spatiotemporal prediction tasks, but challenging when data is limited. The scarcity of real-world data and the difficulty in reproducing the data distribution hinder…

Machine Learning · Computer Science 2021-06-09 Sungyong Seo , Chuizheng Meng , Sirisha Rambhatla , Yan Liu

A physics informed neural network (PINN) incorporates the physics of a system by satisfying its boundary value problem through a neural network's loss function. The PINN approach has shown great success in approximating the map between the…

Numerical Analysis · Mathematics 2022-03-17 Revanth Mattey , Susanta Ghosh

In this paper, we propose the physics informed adversarial training (PIAT) of neural networks for solving nonlinear differential equations (NDE). It is well-known that the standard training of neural networks results in non-smooth…

Machine Learning · Computer Science 2022-07-15 Simin Shekarpaz , Mohammad Azizmalayeri , Mohammad Hossein Rohban

Physics-informed neural networks (PINNs) have shown promising potential for solving partial differential equations (PDEs) using deep learning. However, PINNs face training difficulties for evolutionary PDEs, particularly for dynamical…

Neural and Evolutionary Computing · Computer Science 2023-12-25 Siqi Chen , Bin Shan , Ye Li

Deep learning models have demonstrated exceptional performance across a wide range of computer vision tasks. However, their performance often degrades significantly when faced with distribution shifts, such as domain or dataset changes.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Samuel Barbeau , Pedram Fekri , David Osowiechi , Ali Bahri , Moslem Yazdanpanah , Masih Aminbeidokhti , Christian Desrosiers

Physics-informed diffusion models typically enforce PDE constraints only on final outputs, leaving intermediate representations unconstrained and prone to shortcut learning under shifted boundary conditions. We introduce **REPA-P**, a…

Machine Learning · Computer Science 2026-05-21 Haozhe Jia , Pengyu Yin , Wenshuo Chen , Shaofeng Liang , Lei Wang , Bowen Tian , Xiucheng Wang , Nanqian Jia , Yutao Yue

Physics-informed neural networks (PINNs) are an emerging technique to solve partial differential equations (PDEs). In this work, we propose a simple but effective PINN approach for the phase-field model of ferroelectric microstructure…

Materials Science · Physics 2024-09-06 Lan Shang , Sizheng Zheng , Jin Wang , Jie Wang

Deep neural networks demonstrate strong performance under aligned training-test distributions. However, real-world test data often exhibit domain shifts. Test-Time Adaptation (TTA) addresses this challenge by adapting the model to test data…

Artificial Intelligence · Computer Science 2025-08-27 Byung-Joon Lee , Jin-Seop Lee , Jee-Hyong Lee

This work presents a physics-informed deep learning-based super-resolution framework to enhance the spatio-temporal resolution of the solution of time-dependent partial differential equations (PDE). Prior works on deep learning-based…

Machine Learning · Computer Science 2022-12-09 Rajat Arora , Ankit Shrivastava

We propose a method for test-time adaptation of pretrained depth completion models. Depth completion models, trained on some ``source'' data, often predict erroneous outputs when transferred to ``target'' data captured in novel…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Younjoon Chung , Hyoungseob Park , Patrick Rim , Xiaoran Zhang , Jihe He , Ziyao Zeng , Safa Cicek , Byung-Woo Hong , James S. Duncan , Alex Wong
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