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Graph link prediction has long been a central problem in graph representation learning in both network analysis and generative modeling. Recent progress in deep learning has introduced increasingly sophisticated architectures for capturing…

Machine Learning · Computer Science 2025-12-02 Siddhant Karki

Accurate lithology identification from well logs is crucial for subsurface resource evaluation. Although Transformer-based models excel at sequence modeling, their "black-box" nature and lack of geological guidance limit their performance…

Machine Learning · Computer Science 2026-03-11 Jie Li , Qishun Yang , Nuo Li

We propose Axial Transformers, a self-attention-based autoregressive model for images and other data organized as high dimensional tensors. Existing autoregressive models either suffer from excessively large computational resource…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Jonathan Ho , Nal Kalchbrenner , Dirk Weissenborn , Tim Salimans

Motion prediction is an important aspect for Autonomous Driving (AD) and Advance Driver Assistance Systems (ADAS). Current state-of-the-art motion prediction methods rely on High Definition (HD) maps for capturing the surrounding context of…

Machine Learning · Computer Science 2025-04-15 Harsh Yadav , Maximilian Schaefer , Kun Zhao , Tobias Meisen

Accurate and physically consistent modeling of Earth system dynamics requires machine-learning architectures that operate directly on continuous geophysical fields and preserve their underlying geometric structure. Here we introduce…

Machine Learning · Computer Science 2025-12-24 Maximilian Witte , Johannes Meuer , Étienne Plésiat , Christopher Kadow

With the ever-increasing amount of data, the central challenge in multimodal learning involves limitations of labelled samples. For the task of classification, techniques such as meta-learning, zero-shot learning, and few-shot learning…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Nihar Bendre , Kevin Desai , Peyman Najafirad

Partial Differential Equations (PDEs) underpin many scientific phenomena, yet traditional computational approaches often struggle with complex, nonlinear systems and irregular geometries. This paper introduces the AMG method, a Multi-Graph…

Machine Learning · Computer Science 2025-02-10 Zhihao Li , Haoze Song , Di Xiao , Zhilu Lai , Wei Wang

High-dimensional data, particularly in the form of high-order tensors, presents a major challenge in self-supervised learning. While MLP-based autoencoders (AE) are commonly employed, their dependence on flattening operations exacerbates…

Machine Learning · Computer Science 2025-08-12 Junjing Zheng , Chengliang Song , Weidong Jiang , Xinyu Zhang

Due to various and complicated snow degradations, single image desnowing is a challenging image restoration task. As prior arts can not handle it ideally, we propose a novel transformer, SnowFormer, which explores efficient cross-attentions…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Sixiang Chen , Tian Ye , Yun Liu , Erkang Chen

We aim to develop physics foundation models for science and engineering that provide real-time solutions to Partial Differential Equations (PDEs) which preserve structure and accuracy under adaptation to unseen geometries. To this end, we…

Machine Learning · Computer Science 2026-02-04 Benjamin D. Shaffer , Shawn Koohy , Brooks Kinch , M. Ani Hsieh , Nathaniel Trask

Human activity intensity prediction is crucial to many location-based services. Despite tremendous progress in modeling dynamics of human activity, most existing methods overlook physical constraints of spatial interaction, leading to…

Machine Learning · Computer Science 2025-10-27 Yi Wang , Zhenghong Wang , Fan Zhang , Chaogui Kang , Sijie Ruan , Di Zhu , Chengling Tang , Zhongfu Ma , Weiyu Zhang , Yu Zheng , Philip S. Yu , Yu Liu

Solving time-dependent Partial Differential Equations (PDEs) using a densely discretized spatial domain is a fundamental problem in various scientific and engineering disciplines, including modeling climate phenomena and fluid dynamics.…

Machine Learning · Computer Science 2025-10-24 Jan Hagnberger , Daniel Musekamp , Mathias Niepert

Recent advances in Convolutional Neural Network (CNN) model interpretability have led to impressive progress in visualizing and understanding model predictions. In particular, gradient-based visual attention methods have driven much recent…

Computer Vision and Pattern Recognition · Computer Science 2020-04-15 Wenqian Liu , Runze Li , Meng Zheng , Srikrishna Karanam , Ziyan Wu , Bir Bhanu , Richard J. Radke , Octavia Camps

We propose a cross-domain latent modulation mechanism within a variational autoencoders (VAE) framework to enable improved transfer learning. Our key idea is to procure deep representations from one data domain and use it as perturbation to…

Machine Learning · Computer Science 2020-12-23 Jinyong Hou , Jeremiah D. Deng , Stephen Cranefield , Xuejie Ding

We present a novel architecture for learning geometry-aware preconditioners for linear partial differential equations (PDEs). We show that a deep operator network (Deeponet) can be trained on a simple geometry and remain a robust…

Numerical Analysis · Mathematics 2024-11-21 Idan Versano , Eli Turkel

Extracting compact, physically interpretable representations from high-dimensional scientific data is a persistent challenge due to the complex, nonlinear structures inherent in physical systems. We propose a Gaussian Mixture Variational…

Machine Learning · Computer Science 2025-12-01 Tiffany Fan , Murray Cutforth , Marta D'Elia , Alexandre Cortiella , Alireza Doostan , Eric Darve

We develop Riemannian approaches to variational autoencoders (VAEs) for PDE-type ambient data with regularizing geometric latent dynamics, which we refer to as VAE-DLM, or VAEs with dynamical latent manifolds. We redevelop the VAE framework…

Machine Learning · Computer Science 2026-01-21 Andrew Gracyk

We introduce the Laplace neural operator (LNO), which leverages the Laplace transform to decompose the input space. Unlike the Fourier Neural Operator (FNO), LNO can handle non-periodic signals, account for transient responses, and exhibit…

Machine Learning · Computer Science 2023-05-31 Qianying Cao , Somdatta Goswami , George Em Karniadakis

In scientific machine learning (SciML), a key challenge is learning unknown, evolving physical processes and making predictions across spatio-temporal scales. For example, in real-world manufacturing problems like additive manufacturing,…

Machine Learning · Computer Science 2025-06-16 Vispi Karkaria , Doksoo Lee , Yi-Ping Chen , Yue Yu , Wei Chen

Neural operators have emerged as powerful data-driven solvers for PDEs, offering substantial acceleration over classical numerical methods. However, existing transformer-based operators still face critical challenges when modeling PDEs on…

Artificial Intelligence · Computer Science 2026-05-12 Chun-Wun Cheng , Sifan Wang , Carola-Bibiane Schönlieb , Angelica I. Aviles-Rivero