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The promising outcomes of dynamical system identification techniques, such as SINDy [Brunton et al. 2016], highlight their advantages in providing qualitative interpretability and extrapolation compared to non-interpretable deep neural…

Acquiring fully-sampled MRI $k$-space data is time-consuming, and collecting accelerated data can reduce the acquisition time. Employing 2D Cartesian-rectilinear subsampling schemes is a conventional approach for accelerated acquisitions;…

图像与视频处理 · 电气工程与系统科学 2023-08-11 George Yiasemis , Clara I. Sánchez , Jan-Jakob Sonke , Jonas Teuwen

Bayesian inverse problems use observed data to update a prior probability distribution for an unknown state or parameter of a scientific system to a posterior distribution conditioned on the data. In many applications, the unknown parameter…

数值分析 · 数学 2026-05-12 Josie König , Elizabeth Qian , Melina A. Freitag

Recent 3D content generation pipelines commonly employ Variational Autoencoders (VAEs) to encode shapes into compact latent representations for diffusion-based generation. However, the widely adopted uniform point sampling strategy in Shape…

计算机视觉与模式识别 · 计算机科学 2025-03-25 Rui Chen , Jianfeng Zhang , Yixun Liang , Guan Luo , Weiyu Li , Jiarui Liu , Xiu Li , Xiaoxiao Long , Jiashi Feng , Ping Tan

A resolution-independent data-driven stochastic parametrization method for subgrid-scale processes in coarsened fluid descriptions is proposed. The method enables the inclusion of high-fidelity data into the coarsened flow model, thereby…

流体动力学 · 物理学 2023-04-26 Sagy Ephrati , Paolo Cifani , Milo Viviani , Bernard Geurts

A deep-learning-based surrogate model is developed and applied for predicting dynamic subsurface flow in channelized geological models. The surrogate model is based on deep convolutional and recurrent neural network architectures,…

机器学习 · 计算机科学 2020-05-20 Meng Tang , Yimin Liu , Louis J. Durlofsky

The aerodynamic optimization process of cars requires multiple iterations between aerodynamicists and stylists. Response Surface Modeling and Reduced-Order Modeling are commonly used to eliminate the overhead due to Computational Fluid…

计算工程、金融与科学 · 计算机科学 2022-05-26 Sam Jacob Jacob , Markus Mrosek , Carsten Othmer , Harald Köstler

We present a sequential data assimilation algorithm based on the ensemble Kalman inversion to estimate the near-surface shear wave velocity profile and damping when heterogeneous data and a priori information that can be represented in…

地球物理 · 物理学 2020-05-07 Elnaz Seylabi , Andrew Stuart , Domniki Asimaki

Data assimilation (DA) is integrated with machine learning in order to perform entirely data-driven online state estimation. To achieve this, recurrent neural networks (RNNs) are implemented as surrogate models to replace key components of…

We propose and test the Direct Waveform Inversion (DWI) scheme to simultaneously invert for layered velocity and density profiles, using reflection seismic waveforms recorded on the surface. The recorded data include primary reflections and…

地球物理 · 物理学 2021-08-10 Zhonghan Liu , Yingcai Zheng , Hua-Wei Zhou

Reconstruction of fine-scale information from sparse data is relevant to many practical fluid dynamic applications where the sensing is typically sparse. Fluid flows in an ideal sense are manifestations of nonlinear multiscale PDE dynamical…

计算物理 · 物理学 2020-10-28 Chen Lu , Balaji Jayaraman

Bayesian full waveform inversion (FWI) offers uncertainty-aware subsurface models; however, posterior sampling directly on observed seismic shot records is rarely practical at the field scale because each sample requires numerous…

地球物理 · 物理学 2025-12-16 Mohammad H. Taufik , Tariq Alkhalifah

In recent years Variation Autoencoders have become one of the most popular unsupervised learning of complicated distributions.Variational Autoencoder (VAE) provides more efficient reconstructive performance over a traditional autoencoder.…

机器学习 · 统计学 2017-07-12 Gautam Ramachandra

Deep learning (DL) has emerged as a tool for improving accelerated MRI reconstruction. A common strategy among DL methods is the physics-based approach, where a regularized iterative algorithm alternating between data consistency and a…

图像与视频处理 · 电气工程与系统科学 2020-07-03 Burhaneddin Yaman , Seyed Amir Hossein Hosseini , Steen Moeller , Jutta Ellermann , Kâmil Uǧurbil , Mehmet Akçakaya

Deep learning has recently gained attention in the atmospheric and oceanic sciences for its potential to improve the accuracy of numerical simulations or to reduce computational costs. Super-resolution is one such technique for…

大气与海洋物理 · 物理学 2023-09-21 Yuki Yasuda , Ryo Onishi

In this paper, we present a practical algorithm based on sparsity regularization to effectively solve nonlinear dynamic inverse problems that are encountered in subsurface model calibration. We use an iteratively reweighted algorithm that…

数值分析 · 计算机科学 2009-11-13 Lianlin Li , B. Jafarpour

Hyperspectral Imaging (HSI) captures rich spectral information across contiguous wavelength bands, supporting applications in precision agriculture, environmental monitoring, and autonomous driving. However, its high dimensionality poses…

计算机视觉与模式识别 · 计算机科学 2025-09-03 Yaniv Zimmer , Ofir Lindenbaum , Oren Glickman

This study proposes a theory of unsupervised super-resolution data assimilation (SRDA) using conditional variational autoencoders (CVAEs). We derive an evidence lower bound for unsupervised learning, showing that our theory is an extension…

大气与海洋物理 · 物理学 2025-04-17 Yuki Yasuda , Ryo Onishi

Data assimilation (DA) addresses the problem of sequentially estimating the state of a dynamical system from noisy and incomplete observations. In this work, we employ a diffusion model as a world model to simulate and predict the system's…

机器学习 · 统计学 2026-05-26 Lifu Wei , Yinuo Ren , Naichen Shi , Yiping Lu

Ultrasound images are commonly formed by sequential acquisition of beam-steered scan-lines. Minimizing the number of required scan-lines can significantly enhance frame rate, field of view, energy efficiency, and data transfer speeds.…

图像与视频处理 · 电气工程与系统科学 2025-01-08 Simon W. Penninga , Hans van Gorp , Ruud J. G. van Sloun