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20072026
most citedFourier Neural Operator for Parametric Partial Differential Equations

1.1k citations · 7.8k across the 180 of their papers we have counts for

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Showing 2022Show all

29 papers · 1 filter

quant-ph2022

Towards Neural Variational Monte Carlo That Scales Linearly with System Size

Or Sharir, Garnet Kin-Lic Chan, Anima Anandkumar

Quantum many-body problems are some of the most challenging problems in science and are central to demystifying some exotic quantum phenomena, e.g., high-temperature superconductor…

cs.LG2022★ 22 cited

Multi-modal Molecule Structure-text Model for Text-based Retrieval and Editing

Shengchao Liu, Weili Nie, Chengpeng Wang +6

There is increasing adoption of artificial intelligence in drug discovery. However, existing studies use machine learning to mainly utilize the chemical structures of molecules but…

cs.LG2022★ 1 cited

HEAT: Hardware-Efficient Automatic Tensor Decomposition for Transformer Compression

Jiaqi Gu, Ben Keller, Jean Kossaifi +3

Transformers have attained superior performance in natural language processing and computer vision. Their self-attention and feedforward layers are overparameterized, limiting infe…

eess.SY2022

Machine Learning Accelerated PDE Backstepping Observers

Yuanyuan Shi, Zongyi Li, Huan Yu +3

State estimation is important for a variety of tasks, from forecasting to substituting for unmeasured states in feedback controllers. Performing real-time state estimation for PDEs…

cs.LG2022★ 6 cited

FC-PINO: High Precision Physics-Informed Neural Operators via Fourier Continuation

Adarsh Ganeshram, Haydn Maust, Valentin Duruisseaux +6

The physics-informed neural operator (PINO) is a machine learning paradigm that has demonstrated promising results for learning solutions to partial differential equations (PDEs).…

cs.LG2022★ 5 cited

Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

Robert Joseph George, Jiawei Zhao, Jean Kossaifi +2

Fourier Neural Operators (FNO) offer a principled approach to solving challenging partial differential equations (PDE) such as turbulent flows. At the core of FNO is a spectral lay…

cs.LG2022★ 17 cited

Fast Sampling of Diffusion Models via Operator Learning

Hongkai Zheng, Weili Nie, Arash Vahdat +2

Diffusion models have found widespread adoption in various areas. However, their sampling process is slow because it requires hundreds to thousands of network evaluations to emulat…

cs.LG2022★ 18 cited

DensePure: Understanding Diffusion Models towards Adversarial Robustness

Chaowei Xiao, Zhongzhu Chen, Kun Jin +6

Diffusion models have been recently employed to improve certified robustness through the process of denoising. However, the theoretical understanding of why diffusion models are ab…

cs.LG2022★ 2 cited

An Adversarial Active Sampling-based Data Augmentation Framework for Manufacturable Chip Design

Mingjie Liu, Haoyu Yang, Zongyi Li +7

Lithography modeling is a crucial problem in chip design to ensure a chip design mask is manufacturable. It requires rigorous simulations of optical and chemical models that are co…

cs.LG2022★ 158 cited

Real-time high-resolution CO geological storage prediction using nested Fourier neural operators

Gege Wen, Zongyi Li, Qirui Long +3

Carbon capture and storage (CCS) plays an essential role in global decarbonization. Scaling up CCS deployment requires accurate and high-resolution modeling of the storage reservoi…

cs.CL2022★ 1 cited

Context Generation Improves Open Domain Question Answering

Dan Su, Mostofa Patwary, Shrimai Prabhumoye +6

Closed-book question answering (QA) requires a model to directly answer an open-domain question without access to any external knowledge. Prior work on closed-book QA either direct…

cs.LG2022

AdvDO: Realistic Adversarial Attacks for Trajectory Prediction

Yulong Cao, Chaowei Xiao, Anima Anandkumar +2

Trajectory prediction is essential for autonomous vehicles (AVs) to plan correct and safe driving behaviors. While many prior works aim to achieve higher prediction accuracy, few s…

eess.SY2022★ 1 cited

Stability Constrained Reinforcement Learning for Decentralized Real-Time Voltage Control

Jie Feng, Yuanyuan Shi, Guannan Qu +3

Deep reinforcement learning has been recognized as a promising tool to address the challenges in real-time control of power systems. However, its deployment in real-world power sys…

q-bio.QM2022★ 8 cited

Retrieval-based Controllable Molecule Generation

Zichao Wang, Weili Nie, Zhuoran Qiao +3

Generating new molecules with specified chemical and biological properties via generative models has emerged as a promising direction for drug discovery. However, existing methods…

cs.LG2022★ 10 cited

Robust Trajectory Prediction against Adversarial Attacks

Yulong Cao, Danfei Xu, Xinshuo Weng +4

Trajectory prediction using deep neural networks (DNNs) is an essential component of autonomous driving (AD) systems. However, these methods are vulnerable to adversarial attacks,…

cs.LG2022★ 3 cited

Large Scale Mask Optimization Via Convolutional Fourier Neural Operator and Litho-Guided Self Training

Haoyu Yang, Zongyi Li, Kumara Sastry +5

Machine learning techniques have been extensively studied for mask optimization problems, aiming at better mask printability, shorter turnaround time, better mask manufacturability…

cs.LG2022

Fourier Neural Operator with Learned Deformations for PDEs on General Geometries

Zongyi Li, Daniel Zhengyu Huang, Burigede Liu +1

Deep learning surrogate models have shown promise in solving partial differential equations (PDEs). Among them, the Fourier neural operator (FNO) achieves good accuracy, and is sig…

cs.LG2022★ 4 cited

Langevin Monte Carlo for Contextual Bandits

Pan Xu, Hongkai Zheng, Eric Mazumdar +2

We study the efficiency of Thompson sampling for contextual bandits. Existing Thompson sampling-based algorithms need to construct a Laplace approximation (i.e., a Gaussian distrib…

cs.LG2022★ 1 cited

Thompson Sampling Achieves Regret in Linear Quadratic Control

Taylan Kargin, Sahin Lale, Kamyar Azizzadenesheli +2

Thompson Sampling (TS) is an efficient method for decision-making under uncertainty, where an action is sampled from a carefully prescribed distribution which is updated based on t…

stat.ML2022★ 7 cited

Finite-Time Regret of Thompson Sampling Algorithms for Exponential Family Multi-Armed Bandits

Tianyuan Jin, Pan Xu, Xiaokui Xiao +1

We study the regret of Thompson sampling (TS) algorithms for exponential family bandits, where the reward distribution is from a one-dimensional exponential family, which covers ma…

cs.LG2022★ 4 cited

KCRL: Krasovskii-Constrained Reinforcement Learning with Guaranteed Stability in Nonlinear Dynamical Systems

Sahin Lale, Yuanyuan Shi, Guannan Qu +3

Learning a dynamical system requires stabilizing the unknown dynamics to avoid state blow-ups. However, current reinforcement learning (RL) methods lack stabilization guarantees, w…

quant-ph2022★ 11 cited

Quantum Goemans-Williamson Algorithm with the Hadamard Test and Approximate Amplitude Constraints

Taylor L. Patti, Jean Kossaifi, Anima Anandkumar +1

Semidefinite programs are optimization methods with a wide array of applications, such as approximating difficult combinatorial problems. One such semidefinite program is the Goema…

cs.LG2022★ 78 cited

Diffusion Models for Adversarial Purification

Weili Nie, Brandon Guo, Yujia Huang +3

Adversarial purification refers to a class of defense methods that remove adversarial perturbations using a generative model. These methods do not make assumptions on the form of a…

cs.RO2022★ 282 cited

Neural-Fly Enables Rapid Learning for Agile Flight in Strong Winds

Michael O'Connell, Guanya Shi, Xichen Shi +4

Executing safe and precise flight maneuvers in dynamic high-speed winds is important for the ongoing commoditization of uninhabited aerial vehicles (UAVs). However, because the rel…