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Neural operators have become increasingly popular in solving \textit{partial differential equations} (PDEs) due to their superior capability to capture intricate mappings between function spaces over complex domains. However, the…

Machine Learning · Computer Science 2026-03-02 Jianing Huang , Kaixuan Zhang , Youjia Wu , Ze Cheng

Multimodal information processing has become increasingly important for enhancing image classification performance. However, the intricate and implicit dependencies across different modalities often hinder conventional methods from…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Yang Qiao , Xiaoyu Zhong , Xiaofeng Gu , Zhiguo Yu

In recent years, augmentation of differentiable PDE solvers with neural networks has shown promising results, particularly in fluid simulations. However, most approaches rely on convolutional neural networks and custom solvers operating on…

Machine Learning · Computer Science 2025-02-27 Matthias Schulz , Gwendal Jouan , Daniel Berger , Stefan Gavranovic , Dirk Hartmann

Learning solution operators for systems with complex, varying geometries and parametric physical settings is a central challenge in scientific machine learning. In many-query regimes such as design optimization, control and inverse…

Machine Learning · Computer Science 2026-05-15 Wenqian Chen , Yucheng Fu , Michael Penwarden , Pratanu Roy , Panos Stinis

In open data sets of functional magnetic resonance imaging (fMRI), the heterogeneity of the data is typically attributed to a combination of factors, including differences in scanning procedures, the presence of confounding effects, and…

Machine Learning · Computer Science 2026-04-17 Xin Wen , Shijie Guo , Wenbo Ning , Rui Cao , Yan Niu , Bin Wan , Peng Wei , Xiaobo Liu , Jie Xiang

Neural networks can be used to learn the solution of partial differential equations (PDEs) on arbitrary domains without requiring a computational mesh. Common approaches integrate differential operators in training neural networks using a…

Machine Learning · Computer Science 2022-07-07 Shamsulhaq Basir , Inanc Senocak

Adaptive block partitioning is responsible for large gains in current image and video compression systems. This method is able to compress large stationary image areas with only a few symbols, while maintaining a high level of quality in…

Image and Video Processing · Electrical Eng. & Systems 2023-07-13 Fabian Brand , Alexander Kopte , Kristian Fischer , André Kaup

In this work, we propose a uniformly accurate, structure-preserving neural surrogate for the radiative transfer equation with periodic boundary conditions based on a multiscale parity decomposition framework. The formulation introduces a…

Numerical Analysis · Mathematics 2025-11-10 Mengjia Bai , Jingrun Chen , Keke Wu

Atomistic or ab-initio molecular dynamics simulations are widely used to predict thermodynamics and kinetics and relate them to molecular structure. A common approach to go beyond the time- and length-scales accessible with such…

We present a novel graph transformer framework, HAMLET, designed to address the challenges in solving partial differential equations (PDEs) using neural networks. The framework uses graph transformers with modular input encoders to directly…

We refine the OrbNet model to accurately predict energy, forces, and other response properties for molecules using a graph neural-network architecture based on features from low-cost approximated quantum operators in the symmetry-adapted…

Semantic segmentation in remote sensing (RS) has advanced significantly with the incorporation of multi-modal data, particularly the integration of RGB imagery and the Digital Surface Model (DSM), which provides complementary contextual and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Hui Ye , Haodong Chen , Zeke Zexi Hu , Xiaoming Chen , Yuk Ying Chung

Linear kinetic transport equations play a critical role in optical tomography, radiative transfer and neutron transport. The fundamental difficulty hampering their efficient and accurate numerical resolution lies in the high dimensionality…

Numerical Analysis · Mathematics 2021-12-07 Zhichao Peng , Yanlai Chen , Yingda Cheng , Fengyan Li

Neural operators (NO) are discretization invariant deep learning methods with functional output and can approximate any continuous operator. NO have demonstrated the superiority of solving partial differential equations (PDEs) over other…

Numerical Analysis · Mathematics 2024-02-02 Jianguo Huang , Yue Qiu

Deep neural networks (NNs) have exhibited considerable potential for efficiently balancing the performance and complexity of multiple-input and multiple-output (MIMO) detectors. We propose a receiver framework that enables efficient online…

Signal Processing · Electrical Eng. & Systems 2020-12-09 Jing Zhang , Yunfeng He , Yu-Wen Li , Chao-Kai Wen , Shi Jin

Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

Machine Learning · Computer Science 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem

We propose a Multifaceted Resilient Network(MRNet), a novel architecture developed for medical image-to-image translation that outperforms state-of-the-art methods in MRI-to-CT and MRI-to-MRI conversion. MRNet leverages the Segment Anything…

Image and Video Processing · Electrical Eng. & Systems 2024-12-05 Hyojeong Lee , Youngwan Jo , Inpyo Hong , Sanghyun Park

Representation learning on multi-omics data is challenging due to extreme dimensionality, modality heterogeneity, and cohort-specific batch effects. While pre-trained transformer backbones have shown broad generalization capabilities in…

Machine Learning · Computer Science 2025-11-27 Audrey Pei-Hsuan Chen

In this work, we present an arbitrary-scale super-resolution (SR) method to enhance the resolution of scientific data, which often involves complex challenges such as continuity, multi-scale physics, and the intricacies of high-frequency…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Xihaier Luo , Xiaoning Qian , Byung-Jun Yoon

Deep Operator Networks (DeepONets) have recently emerged as powerful data-driven frameworks for learning nonlinear operators, particularly suited for approximating solutions to partial differential equations. Despite their promising…

Machine Learning · Computer Science 2026-04-21 Arth Sojitra , Mrigank Dhingra , Omer San