https://openreview.net/forum?id=7LSEkvEGCM&referrer=%5Bthe%20profile%20of%20Siddhartha%20Mishra%5D(%2Fprofile%3Fid%3D~Siddhartha_Mishra1)
Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning |...
Recently, operator learning, or learning mappings between infinite-dimensional function spaces, has garnered significant attention, notably in relation to...
neural operatorsrepresentationequivalent
https://deepai.org/publication/learning-deep-implicit-fourier-neural-operators-ifnos-with-applications-to-heterogeneous-material-modeling
Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material...
Mar 15, 2022 - 03/15/22 - Constitutive modeling based on continuum mechanics theory has been a classical approach for modeling the mechanical responses of m...
neural operators
https://arxiv.org/abs/2209.02772?context=cs.LG
[2209.02772] Semi-supervised Invertible Neural Operators for Bayesian Inverse Problems
Abstract page for arXiv paper 2209.02772: Semi-supervised Invertible Neural Operators for Bayesian Inverse Problems
neural operators220902772semisupervised
https://jmlr.org/papers/v26/24-1985.html
Neural Operators Can Play Dynamic Stackelberg Games
neural operatorsplaydynamicstackelberggames
https://deepai.org/publication/u-no-u-shaped-neural-operators
U-NO: U-shaped Neural Operators | DeepAI
Apr 23, 2022 - 04/23/22 - Neural operators generalize classical neural networks to maps between infinite-dimensional spaces, e.g. function spaces. Prior wor...
u noneural operatorsshapeddeepai
https://openreview.net/forum?id=knSgoNJcnV
Uncertainty Quantification for Fourier Neural Operators | OpenReview
In medium-term weather forecasting, deep learning techniques have emerged as a strong alternative to classical numerical solvers for partial differential...
uncertainty quantificationneural operatorsfourieropenreview
https://openreview.net/forum?id=MtekhXRP4h
Convolutional Neural Operators for robust and accurate learning of PDEs | OpenReview
Although very successfully used in conventional machine learning, convolution based neural network architectures -- believed to be inconsistent in function...
neural operatorsrobust
https://openreview.net/forum?id=gpbBUE8uhp
Variational Autoencoding Neural Operators | OpenReview
Unsupervised learning with functional data is an emerging paradigm of machine learning research with applications to computer vision, climate modeling and...
variational autoencodingneural operatorsopenreview
https://openreview.net/forum?id=ToHkAg936Y
Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws | OpenReview
Neural operators (NOs) have emerged as effective tools for modeling complex physical systems in scientific machine learning. In NOs, a central characteristic...
harnessing the powerneural operators
https://openreview.net/forum?id=rY6mQMW8nS
EqGINO: Equivariant Geometry-Informed Fourier Neural Operators for 3D PDEs | OpenReview
Deep learning surrogates for 3D Partial Differential Equations (PDEs) often fail to generalize across geometric transformations because they depend heavily on...
neural operatorsequivariantgeometryinformedfourier
https://openreview.net/forum?id=Q0C4jYZQ7x
Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator...
This paper introduces the Kernel Neural Operator (KNO), a provably convergent operator-learning architecture that utilizes compositions of deep kernel-based...
neural operatorskernelknos
https://openreview.net/forum?id=DPzQ5n3mNm
Sensitivity-Constrained Fourier Neural Operators for Forward and Inverse Problems in Parametric...
neural operators
https://openreview.net/forum?id=ZZTkLDRmkg
BENO: Boundary-embedded Neural Operators for Elliptic PDEs | OpenReview
Elliptic partial differential equations (PDEs) are a major class of time-independent PDEs that play a key role in many scientific and engineering domains such...
neural operatorsbenoboundaryembeddedelliptic
https://openreview.net/forum?id=gangoPXSRw
Probabilistic neural operators for functional uncertainty quantification | OpenReview
Neural operators aim to approximate the solution operator of a system of differential equations purely from data. They have shown immense success in modeling...
neural operatorsuncertainty quantificationprobabilisticfunctionalopenreview
https://openreview.net/forum?id=ILmND4b1BK
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems | OpenReview
Fourier Neural Operator (FNO) is a powerful and popular operator learning method. However, FNO is mainly used in forward prediction, yet a great many...
neural operators
https://openreview.net/forum?id=6Z0q0dzSJQ
Neural Parameter Regression for Explicit Representations of PDE Solution Operators | OpenReview
We introduce Neural Parameter Regression (NPR), a novel framework specifically developed for learning solution operators in Partial Differential Equations...
neuralparameterregressionexplicit
https://arxiv.org/abs/2412.10354
[2412.10354] A Library for Learning Neural Operators
Abstract page for arXiv paper 2412.10354: A Library for Learning Neural Operators
a libraryfor learning241210354neural
https://openreview.net/forum?id=6aJrEC28hR
Graph neural networks and non-commuting operators | OpenReview
Graph neural networks (GNNs) provide state-of-the-art results in a wide variety of tasks which typically involve predicting features at the vertices of a...
graph neural networksnon commutingoperatorsopenreview
https://arxiv.org/abs/2406.09795v2
[2406.09795v2] DeltaPhi: Physical States Residual Learning for Neural Operators in Data-Limited PDE...
Abstract page for arXiv paper 2406.09795v2: DeltaPhi: Physical States Residual Learning for Neural Operators in Data-Limited PDE Solving
https://arxiv.org/abs/2308.14789
[2308.14789] Scattering with Neural Operators
Abstract page for arXiv paper 2308.14789: Scattering with Neural Operators
2308scatteringneuraloperators
https://arxiv.org/abs/1912.03579
[1912.03579] Neural Networks with Cheap Differential Operators
Abstract page for arXiv paper 1912.03579: Neural Networks with Cheap Differential Operators
neural networks191203579cheapdifferential