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There has recently been increasing attention towards developing foundational neural Partial Differential Equation (PDE) solvers and neural operators through large-scale pretraining. However, unlike vision and language models that make use…

Machine Learning · Computer Science 2024-11-21 AmirPouya Hemmasian , Amir Barati Farimani

We propose the *State Space Neural Operator* (SS-NO), a compact architecture for learning solution operators of time-dependent partial differential equations (PDEs). Our formulation extends structured state space models (SSMs) to joint…

Machine Learning · Computer Science 2026-03-09 Nodens Koren , Samuel Lanthaler

Real-world sequential decision making problems commonly involve partial observability, which requires the agent to maintain a memory of history in order to infer the latent states, plan and make good decisions. Coping with partial…

Machine Learning · Computer Science 2022-02-09 Yonathan Efroni , Chi Jin , Akshay Krishnamurthy , Sobhan Miryoosefi

Masked Image Modeling (MIM) has emerged as a promising method for deriving visual representations from unlabeled image data by predicting missing pixels from masked portions of images. It excels in region-aware learning and provides strong…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Yibing Wei , Abhinav Gupta , Pedro Morgado

Robotic foundation models require reasoning over complex visual scenes to execute adaptive actions in dynamic environments. While recent studies on latent-reasoning Vision-Language-Action (VLA) models have demonstrated the capability to…

Imitation learning enables robots to acquire manipulation skills from demonstrations, yet deploying a policy across tasks with heterogeneous dynamics remains challenging, as models tend to average over distinct behavioral modes present in…

How can a robot navigate successfully in rich and diverse environments, indoors or outdoors, along office corridors or trails on the grassland, on the flat ground or the staircase? To this end, this work aims to address three challenges:…

Robotics · Computer Science 2022-06-01 Bo Ai , Wei Gao , Vinay , David Hsu

Surrogate models are critical for accelerating computationally expensive simulations in science and engineering, particularly for solving parametric partial differential equations (PDEs). Developing practical surrogate models poses…

Numerical Analysis · Mathematics 2025-06-17 Chenyu Zeng , Yanshu Zhang , Jiayi Zhou , Yuhan Wang , Zilin Wang , Yuhao Liu , Lei Wu , Daniel Zhengyu Huang

Recent advancements in operator-type neural networks have shown promising results in approximating the solutions of spatiotemporal Partial Differential Equations (PDEs). However, these neural networks often entail considerable training…

Machine Learning · Computer Science 2025-05-08 Shuhao Cao , Francesco Brarda , Ruipeng Li , Yuanzhe Xi

We introduce the Neural Preconditioning Operator (NPO), a novel approach designed to accelerate Krylov solvers in solving large, sparse linear systems derived from partial differential equations (PDEs). Unlike classical preconditioners that…

Computational Engineering, Finance, and Science · Computer Science 2025-02-10 Zhihao Li , Di Xiao , Zhilu Lai , Wei Wang

Physics-informed neural operators (PINOs) have emerged as powerful tools for learning solution operators of partial differential equations (PDEs). Recent research has demonstrated that incorporating Lie point symmetry information can…

Machine Learning · Computer Science 2025-06-12 Amy Xiang Wang , Zakhar Shumaylov , Peter Zaika , Ferdia Sherry , Carola-Bibiane Schönlieb

In this paper, we introduce PDE-LEARN, a novel deep learning algorithm that can identify governing partial differential equations (PDEs) directly from noisy, limited measurements of a physical system of interest. PDE-LEARN uses a Rational…

Machine Learning · Computer Science 2023-02-13 Robert Stephany , Christopher Earls

Most past and present research in computer vision involves passively observed data. Humans, however, are active observers outside the lab; they explore, search, select what and how to look. Nonetheless, how exactly active observation occurs…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Markus D. Solbach , John K. Tsotsos

Latent action models (LAMs) offer a promising path to pre-training embodied agents on large amounts of action-free video. They infer latent actions between consecutive observations that can later be decoded to ground-truth actions using a…

Machine Learning · Computer Science 2026-05-28 Marcus Fechner , Hamza Adnan , Constantin C. Lüth , Matthew T. Jackson , Alexey Zakharov , J. Marius Zöllner

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

Discovering the partial differential equations underlying spatio-temporal datasets from very limited and highly noisy observations is of paramount interest in many scientific fields. However, it remains an open question to know when model…

Machine Learning · Statistics 2021-10-06 Georges Tod , Gert-Jan Both , Remy Kusters

Operator learning techniques have recently emerged as a powerful tool for learning maps between infinite-dimensional Banach spaces. Trained under appropriate constraints, they can also be effective in learning the solution operator of…

Machine Learning · Computer Science 2021-10-13 Sifan Wang , Hanwen Wang , Paris Perdikaris

Real-time object detection in AR/VR systems faces critical computational constraints, requiring sub-10\,ms latency within tight power budgets. Inspired by biological foveal vision, we propose a two-stage pipeline that combines…

Hardware Architecture · Computer Science 2026-03-18 Neeraj Solanki , Hong Ding , Sepehr Tabrizchi , Ali Shafiee Sarvestani , Shaahin Angizi , David Z. Pan , Arman Roohi

Deploying deep learning models requires taking into consideration neural network metrics such as model size, inference latency, and #FLOPs, aside from inference accuracy. This results in deep learning model designers leveraging…

Machine Learning · Computer Science 2024-08-20 Yiyang Zhao , Linnan Wang , Tian Guo

In this paper, we consider the problem of learning prediction models for spatiotemporal physical processes driven by unknown partial differential equations (PDEs). We propose a deep learning framework that learns the underlying dynamics and…

Machine Learning · Statistics 2021-05-04 Priyabrata Saha , Saibal Mukhopadhyay
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