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Machine learning-based modeling of physical systems has experienced increased interest in recent years. Despite some impressive progress, there is still a lack of benchmarks for Scientific ML that are easy to use but still challenging and…

Physics-informed neural networks (PINNs) have gained significant attention for solving forward and inverse problems related to partial differential equations (PDEs). While advancements in loss functions and network architectures have…

Machine Learning · Computer Science 2025-08-11 Adrian Celaya , David Fuentes , Beatrice Riviere

Diffusion-based solvers for partial differential equations (PDEs) are often bottle-necked by slow gradient-based test-time optimization routines that use PDE residuals for loss guidance. They additionally suffer from optimization…

Machine Learning · Computer Science 2025-12-02 Medha Sawhney , Abhilash Neog , Mridul Khurana , Anuj Karpatne

Identifying high-quality and easily accessible annotated samples poses a notable challenge in medical image analysis. Transfer learning techniques, leveraging pre-training data, offer a flexible solution to this issue. However, the impact…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Asmaa Abbas , Mohamed Gaber , Mohammed M. Abdelsamea

We propose Physics-Aware Neural Implicit Solvers (PANIS), a novel, data-driven framework for learning surrogates for parametrized Partial Differential Equations (PDEs). It consists of a probabilistic, learning objective in which weighted…

Machine Learning · Statistics 2025-01-27 Matthaios Chatzopoulos , Phaedon-Stelios Koutsourelakis

Neural operators, as an efficient surrogate model for learning the solutions of PDEs, have received extensive attention in the field of scientific machine learning. Among them, attention-based neural operators have become one of the…

Machine Learning · Computer Science 2024-12-30 Zipeng Xiao , Zhongkai Hao , Bokai Lin , Zhijie Deng , Hang Su

Pre-trained vision-language (V-L) models such as CLIP have shown excellent generalization ability to downstream tasks. However, they are sensitive to the choice of input text prompts and require careful selection of prompt templates to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Muhammad Uzair Khattak , Hanoona Rasheed , Muhammad Maaz , Salman Khan , Fahad Shahbaz Khan

Spectral neural operators achieve strong performance for PDE learning, but rely on fixed global bases that limit their ability to represent spatially heterogeneous and multiscale dynamics. We propose Adaptive Basis Learning (ABLE), a…

Machine Learning · Computer Science 2026-05-12 Xuxiang Zhao , Angelica I. Aviles-Rivero

Many important problems in science and engineering require solving the so-called parametric partial differential equations (PDEs), i.e., PDEs with different physical parameters, boundary conditions, shapes of computational domains, etc.…

Numerical Analysis · Mathematics 2024-02-06 Zhanhong Ye , Xiang Huang , Hongsheng Liu , Bin Dong

Masked image modeling has been demonstrated as a powerful pretext task for generating robust representations that can be effectively generalized across multiple downstream tasks. Typically, this approach involves randomly masking patches…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Neelu Madan , Nicolae-Catalin Ristea , Kamal Nasrollahi , Thomas B. Moeslund , Radu Tudor Ionescu

Spiking neural networks (SNNs) represent a promising approach to developing artificial neural networks that are both energy-efficient and biologically plausible. However, applying SNNs to sequential tasks, such as text classification and…

Neural and Evolutionary Computing · Computer Science 2024-10-14 Changze Lv , Dongqi Han , Yansen Wang , Xiaoqing Zheng , Xuanjing Huang , Dongsheng Li

Simulating complex physical processes across a domain of input parameters can be very computationally expensive. Multi-fidelity surrogate modeling can resolve this issue by integrating cheaper simulations with the expensive ones in order to…

Methodology · Statistics 2026-02-03 Romain Boutelet , Chih-Li Sung

Simulating the time evolution of Partial Differential Equations (PDEs) of large-scale systems is crucial in many scientific and engineering domains such as fluid dynamics, weather forecasting and their inverse optimization problems.…

Machine Learning · Computer Science 2022-10-13 Tailin Wu , Takashi Maruyama , Jure Leskovec

Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale inverse problems. Surrogate modeling techniques seek to…

Computational Physics · Physics 2022-05-18 James Duvall , Karthik Duraisamy , Shaowu Pan

Transformer models have achieved superior performance in various natural language processing tasks. However, the quadratic computational cost of the attention mechanism limits its practicality for long sequences. There are existing…

Computation and Language · Computer Science 2022-12-19 Simiao Zuo , Xiaodong Liu , Jian Jiao , Denis Charles , Eren Manavoglu , Tuo Zhao , Jianfeng Gao

Deep models have achieved impressive progress in solving partial differential equations (PDEs). A burgeoning paradigm is learning neural operators to approximate the input-output mappings of PDEs. While previous deep models have explored…

Machine Learning · Computer Science 2023-05-30 Haixu Wu , Tengge Hu , Huakun Luo , Jianmin Wang , Mingsheng Long

Surrogate models for partial-differential equations are widely used in the design of meta-materials to rapidly evaluate the behavior of composable components. However, the training cost of accurate surrogates by machine learning can rapidly…

Machine Learning · Computer Science 2020-11-04 Raphaël Pestourie , Youssef Mroueh , Thanh V. Nguyen , Payel Das , Steven G. Johnson

Machine Learning (ML) is increasingly used to construct surrogate models for physical simulations. We take advantage of the ability to generate data using numerical simulations programs to train ML models better and achieve accuracy gain…

Computational Physics · Physics 2021-01-29 Paul Novello , Gaël Poëtte , David Lugato , Pietro Congedo

Domain-specific adaptation is critical to maximizing the performance of pre-trained language models (PLMs) on one or multiple targeted tasks, especially under resource-constrained use cases, such as edge devices. However, existing methods…

Computation and Language · Computer Science 2024-10-25 Peter Schafhalter , Shun Liao , Yanqi Zhou , Chih-Kuan Yeh , Arun Kandoor , James Laudon

We address the challenging problem of Long-Tailed Semi-Supervised Learning (LTSSL) where labeled data exhibit imbalanced class distribution and unlabeled data follow an unknown distribution. Unlike in balanced SSL, the generated…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Chengcheng Ma , Ismail Elezi , Jiankang Deng , Weiming Dong , Changsheng Xu
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