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Recent advances in autoregressive neural surrogate models have enabled orders-of-magnitude speedups in simulating dynamical systems. However, autoregressive models are generally prone to distribution drift: compounding errors in…

Machine Learning · Computer Science 2026-03-19 Qi Liu , Laure Zanna , Joan Bruna

Systems governed by partial differential equations (PDEs) require computationally intensive numerical solvers to predict spatiotemporal field evolution. While machine learning (ML) surrogates offer faster solutions, autoregressive inference…

Machine Learning · Computer Science 2025-07-08 Ishan Khurjekar , Indrashish Saha , Lori Graham-Brady , Somdatta Goswami

Neural operators have emerged as powerful surrogates for dynamical systems due to their grid-invariant properties and computational efficiency. However, the Fourier-based neural operator framework inherently truncates high-frequency…

Machine Learning · Computer Science 2026-04-09 Tianyue Yang , Xiao Xue

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

Machine Learning · Computer Science 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

The quantification of uncertainty on fluid flow in porous media is often hampered by multi-scale heterogeneity and insufficient site characterization. Monte-Carlo simulation (MCS), which runs numerical simulations for a large number of…

Machine Learning · Computer Science 2020-10-16 Hyung Jun Yang , Timothy Yeo , Jaewoo An

Accurate modeling of time-varying underwater acoustic channels is essential for the design, evaluation, and deployment of reliable underwater communication systems. Conventional physics models require detailed environmental knowledge, while…

Sound · Computer Science 2025-12-15 Kexin Li , Mandar Chitre

Operational flood forecasting still relies on high-fidelity two-dimensional hydraulic solvers, but their runtime can be prohibitive for rapid decision support on large urban floodplains. In parallel, AI-based surrogate models have shown…

Machine Learning · Computer Science 2026-04-06 Valentin Mercier , Serge Gratton , Lapeyre Corentin , Gwenaël Chevallet

Pretrained diffusion models have revolutionized real-world image super-resolution (Real-ISR) but suffer from computational bottlenecks due to iterative sampling. Recent single-step distillation accelerates inference but faces a stark…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Shyang-En Weng , Yi-Cheng Liao , Yu-Syuan Xu , Wei-Chen Chiu , Ching-Chun Huang

Accurate modeling of scrape-off layer (SOL) and divertor-edge dynamics is vital for designing plasma-facing components in fusion devices. High-fidelity edge fluid/neutral codes such as SOLPS-ITER capture SOL physics with high accuracy, but…

Plasma Physics · Physics 2026-01-01 Hunor Csala , Sebastian De Pascuale , Paul Laiu , Jeremy Lore , Jae-Sun Park , Pei Zhang

We develop two deep learning surrogate autoregressive models for the prediction of the temporal evolution of two-dimensional ideal magnetohydrodynamic (MHD) Kelvin-Helmholtz instabilities across a range of magnetic field strengths. Using…

Plasma Physics · Physics 2026-04-21 David Kivarkis , Waleed Mouhali , Sadruddin Benkadda , Kai Schneider

We propose Linear Oscillatory State-Space models (LinOSS) for efficiently learning on long sequences. Inspired by cortical dynamics of biological neural networks, we base our proposed LinOSS model on a system of forced harmonic oscillators.…

Machine Learning · Computer Science 2025-06-19 T. Konstantin Rusch , Daniela Rus

Generative models for multivariate time series are essential for data augmentation, simulation, and privacy preservation, yet current state-of-the-art diffusion-based approaches are slow and limited to fixed-length windows. We propose…

Machine Learning · Computer Science 2025-11-10 Siyuan Li , Yifan Sun , Lei Cheng , Lewen Wang , Yang Liu , Weiqing Liu , Jianlong Li , Jiang Bian , Shikai Fang

Accurately modeling the spatio-temporal dynamics of blast wave propagation remains a longstanding challenge due to its highly nonlinear behavior, sharp gradients, and burdensome computational cost. While machine learning-based surrogate…

Machine Learning · Computer Science 2026-03-19 Danning Jing , Xinhai Chen , Xifeng Pu , Jie Hu , Chao Huang , Xuguang Chen , Qinglin Wang , Jie Liu

Deep Generative models (DGMs) play two key roles in modern machine learning: (i) producing new information (e.g., image synthesis) and (ii) reducing dimensionality. However, traditional architectures often rely on auxiliary networks such as…

Machine Learning · Computer Science 2026-02-23 Georgi Hrusanov , Oliver Y. Chén , Julien S. Bodelet

MeanFlow (MF) is a diffusion-motivated generative model that enables efficient few-step generation by learning long jumps directly from noise to data. In practice, it is often used as a latent MF by leveraging the pre-trained Stable…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Zheyuan Hu , Chieh-Hsin Lai , Ge Wu , Yuki Mitsufuji , Stefano Ermon

Autoregressive surrogate models (or \textit{emulators}) of spatiotemporal systems provide an avenue for fast, approximate predictions, with broad applications across science and engineering. At inference time, however, these models are…

Machine Learning · Computer Science 2025-07-10 Chris Pedersen , Laure Zanna , Joan Bruna

Speech enhancement (SE) recovers clean speech from noisy signals and is vital for applications such as telecommunications and automatic speech recognition (ASR). While generative approaches achieve strong perceptual quality, they often rely…

Sound · Computer Science 2025-10-01 Yike Zhu , Boyi Kang , Ziqian Wang , Xingchen Li , Zihan Zhang , Wenjie Li , Longshuai Xiao , Wei Xue , Lei Xie

Diffusion models (DMs) represent state-of-the-art generative models for continuous inputs. DMs work by constructing a Stochastic Differential Equation (SDE) in the input space (ie, position space), and using a neural network to reverse it.…

Machine Learning · Computer Science 2024-05-14 Tianrong Chen , Jiatao Gu , Laurent Dinh , Evangelos A. Theodorou , Joshua Susskind , Shuangfei Zhai

We address the problem of compressed sensing using a deep generative prior model and consider both linear and learned nonlinear sensing mechanisms, where the nonlinear one involves either a fully connected neural network or a convolutional…

Machine Learning · Computer Science 2021-05-26 Vinayak Killedar , Praveen Kumar Pokala , Chandra Sekhar Seelamantula

Solving time-dependent parametric partial differential equations (PDEs) remains a fundamental challenge for neural solvers, particularly when generalizing across a wide range of physical parameters and dynamics. When data is uncertain or…

Machine Learning · Computer Science 2025-12-12 Armand Kassaï Koupaï , Lise Le Boudec , Louis Serrano , Patrick Gallinari
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