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We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

Out-of-distribution (OOD) generalization is indispensable for learning models in the wild, where testing distribution typically unknown and different from the training. Recent methods derived from causality have shown great potential in…

Machine Learning · Computer Science 2024-05-13 Mengyue Yang , Zhen Fang , Yonggang Zhang , Yali Du , Furui Liu , Jean-Francois Ton , Jianhong Wang , Jun Wang

Designing deep neural network classifiers that perform robustly on distributions differing from the available training data is an active area of machine learning research. However, out-of-distribution generalization for regression-the…

Machine Learning · Computer Science 2024-01-01 Benjamin Eyre , Elliot Creager , David Madras , Vardan Papyan , Richard Zemel

The ability to learn polynomials and generalize out-of-distribution is essential for simulation metamodels in many disciplines of engineering, where the time step updates are described by polynomials. While feed forward neural networks can…

Machine Learning · Computer Science 2023-07-21 Jesper Hauch , Christoffer Riis , Francisco C. Pereira

We propose the geometry-informed neural operator (GINO), a highly efficient approach to learning the solution operator of large-scale partial differential equations with varying geometries. GINO uses a signed distance function and…

Predictive machine learning models generally excel on in-distribution data, but their performance degrades on out-of-distribution (OOD) inputs. Reliable deployment therefore requires robust OOD detection, yet this is particularly…

Machine Learning · Computer Science 2026-02-19 David Graber , Victor Armegioiu , Rebecca Buller , Siddhartha Mishra

LiDAR-based perception is critical for autonomous driving due to its robustness to poor lighting and visibility conditions. Yet, current models operate under the closed-set assumption and often fail to recognize unexpected…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Zizhao Li , Zhengkang Xiang , Jiayang Ao , Feng Liu , Joseph West , Kourosh Khoshelham

The large-scale simulation of dynamical systems is critical in numerous scientific and engineering disciplines. However, traditional numerical solvers are limited by the choice of step sizes when estimating integration, resulting in a…

Computational Engineering, Finance, and Science · Computer Science 2023-09-21 Zhongzhan Huang , Senwei Liang , Hong Zhang , Haizhao Yang , Liang Lin

In scientific and engineering applications, solving partial differential equations (PDEs) across various parameters and domains normally relies on resource-intensive numerical methods. Neural operators based on deep learning offered a…

Numerical Analysis · Mathematics 2024-06-21 Zhiwei Zhao , Changqing Liu , Yingguang Li , Zhibin Chen , Xu Liu

Deep Neural Networks for classification behave unpredictably when confronted with inputs not stemming from the training distribution. This motivates out-of-distribution detection (OOD) mechanisms. The usual lack of prior information on…

Machine Learning · Computer Science 2022-03-02 Konstantin Kirchheim , Tim Gonschorek , Frank Ortmeier

The out-of-distribution (OOD) problem generally arises when neural networks encounter data that significantly deviates from the training data distribution, i.e., in-distribution (InD). In this paper, we study the OOD problem from a neuron…

Machine Learning · Computer Science 2024-03-12 Yibing Liu , Chris Xing Tian , Haoliang Li , Lei Ma , Shiqi Wang

Transformers excel in natural language processing and computer vision tasks. However, they still face challenges in generalizing to Out-of-Distribution (OOD) datasets, i.e. data whose distribution differs from that seen during training. OOD…

Machine Learning · Computer Science 2026-01-30 Yijin Zhou , Yutang Ge , Wenyuan Xie , Linqian Zeng , Xiaowen Dong , Yuguang Wang

Diffusion models have emerged as powerful generative priors for solving PDE-constrained inverse problems. Compared to end-to-end approaches relying on massive paired datasets, explicitly decoupling the prior distribution of physical…

Numerical Analysis · Mathematics 2026-04-23 Haibo Liu , Guang Lin

The problem of detecting whether a test sample is from in-distribution (i.e., training distribution by a classifier) or out-of-distribution sufficiently different from it arises in many real-world machine learning applications. However, the…

Machine Learning · Statistics 2018-02-27 Kimin Lee , Honglak Lee , Kibok Lee , Jinwoo Shin

Recent work has shown deep learning can accelerate the prediction of physical dynamics relative to numerical solvers. However, limited physical accuracy and an inability to generalize under distributional shift limit its applicability to…

Machine Learning · Computer Science 2021-03-17 Rui Wang , Robin Walters , Rose Yu

This work proposes an extension of neural ordinary differential equations (NODEs) by introducing an additional set of ODE input parameters to NODEs. This extension allows NODEs to learn multiple dynamics specified by the input parameter…

Computational Physics · Physics 2021-11-17 Kookjin Lee , Eric J. Parish

Reliable quantification of epistemic and aleatoric uncertainty is of crucial importance in applications where models are trained in one environment but applied to multiple different environments, often seen in real-world applications for…

Machine Learning · Computer Science 2023-11-02 Simon Dirmeier , Ye Hong , Yanan Xin , Fernando Perez-Cruz

Out-of-distribution (OOD) learning often relies heavily on statistical approaches or predefined assumptions about OOD data distributions, hindering their efficacy in addressing multifaceted challenges of OOD generalization and OOD detection…

Machine Learning · Computer Science 2024-08-16 Haoyue Bai , Xuefeng Du , Katie Rainey , Shibin Parameswaran , Yixuan Li

The recent achievements of Deep Learning rely on the test data being similar in distribution to the training data. In an ideal case, Deep Learning models would achieve Out-of-Distribution (OoD) Generalization, i.e. reliably make predictions…

Image and Video Processing · Electrical Eng. & Systems 2021-09-07 Antoine Sanner , Camila Gonzalez , Anirban Mukhopadhyay

Machine learning (ML) systems in natural language processing (NLP) face significant challenges in generalizing to out-of-distribution (OOD) data, where the test distribution differs from the training data distribution. This poses important…

Computation and Language · Computer Science 2023-05-24 Linyi Yang , Yaoxiao Song , Xuan Ren , Chenyang Lyu , Yidong Wang , Lingqiao Liu , Jindong Wang , Jennifer Foster , Yue Zhang