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This study presents the conditional neural fields for reduced-order modeling (CNF-ROM) framework to approximate solutions of parametrized partial differential equations (PDEs). The approach combines a parametric neural ODE (PNODE) for…

Numerical Analysis · Mathematics 2024-12-09 Minji Kim , Tianshu Wen , Kookjin Lee , Youngsoo Choi

Conventional Computed Tomography (CT) methods require large numbers of noise-free projections for accurate density reconstructions, limiting their applicability to the more complex class of Cone Beam Geometry CT (CBCT) reconstruction.…

Image and Video Processing · Electrical Eng. & Systems 2023-07-18 Samuele Papa , David M. Knigge , Riccardo Valperga , Nikita Moriakov , Miltos Kofinas , Jan-Jakob Sonke , Efstratios Gavves

For flexible non-blind image denoising, existing deep networks usually take both noisy image and noise level map as the input to handle various noise levels with a single model. However, in this kind of solution, the noise variance (i.e.,…

Image and Video Processing · Electrical Eng. & Systems 2020-06-25 Jiazhi Du , Xin Qiao , Zifei Yan , Hongzhi Zhang , Wangmeng Zuo

Continuous Normalizing Flows (CNFs) have emerged as promising deep generative models for a wide range of tasks thanks to their invertibility and exact likelihood estimation. However, conditioning CNFs on signals of interest for conditional…

Machine Learning · Computer Science 2019-12-10 Tan M. Nguyen , Animesh Garg , Richard G. Baraniuk , Anima Anandkumar

This study introduces the Conditional Neural Field Latent Diffusion (CoNFiLD) model, a novel generative learning framework designed for rapid simulation of intricate spatiotemporal dynamics in chaotic and turbulent systems within…

Fluid Dynamics · Physics 2024-03-18 Pan Du , Meet Hemant Parikh , Xiantao Fan , Xin-Yang Liu , Jian-Xun Wang

Grid-based neural networks such as convolutional autoencoders are widely used in dimension reduction-based surrogate models for computational fluid dynamics. In recent years, the use of coordinate-based approaches like conditional neural…

Fluid Dynamics · Physics 2026-05-22 Henning Schwarz , Pyei Phyo Lin , Jens-Peter M. Zemke , Thomas Rung

Conditional Neural Fields (CNFs) are increasingly being leveraged as continuous signal representations, by associating each data-sample with a latent variable that conditions a shared backbone Neural Field (NeF) to reconstruct the sample.…

Normalizing Flows (NFs) are able to model complicated distributions p(y) with strong inter-dimensional correlations and high multimodality by transforming a simple base density p(z) through an invertible neural network under the change of…

Machine Learning · Computer Science 2023-11-14 Christina Winkler , Daniel Worrall , Emiel Hoogeboom , Max Welling

Pixel-level labelling tasks, such as semantic segmentation, play a central role in image understanding. Recent approaches have attempted to harness the capabilities of deep learning techniques for image recognition to tackle pixel-level…

Computer Vision and Pattern Recognition · Computer Science 2016-04-15 Shuai Zheng , Sadeep Jayasumana , Bernardino Romera-Paredes , Vibhav Vineet , Zhizhong Su , Dalong Du , Chang Huang , Philip H. S. Torr

Neural Ordinary Differential Equations (NODEs) often struggle to adapt to new dynamic behaviors caused by parameter changes in the underlying physical system, even when these dynamics are similar to previously observed behaviors. This…

Machine Learning · Computer Science 2025-09-30 Roussel Desmond Nzoyem , David A. W. Barton , Tom Deakin

Deep learning has transformed computational imaging, but traditional pixel-based representations limit their ability to capture continuous, multiscale details of objects. Here we introduce a novel Local Conditional Neural Fields (LCNF)…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Hao Wang , Jiabei Zhu , Yunzhe Li , QianWan Yang , Lei Tian

Conditional Normalizing Flows (CNFs) are flexible generative models capable of representing complicated distributions with high dimensionality and large interdimensional correlations, making them appealing for structured output learning.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Mohsen Zand , Ali Etemad , Michael Greenspan

This paper introduces a novel framework for image quality transfer based on conditional flow matching (CFM). Unlike conventional generative models that rely on iterative sampling or adversarial objectives, CFM learns a continuous flow…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Huu Tien Nguyen , Ahmed Karam Eldaly

Deep-learning methods have shown promising performance for low-dose computed tomography (LDCT) reconstruction. However, supervised methods face the problem of lacking labeled data in clinical scenarios, and the CNN-based unsupervised…

Image and Video Processing · Electrical Eng. & Systems 2025-04-25 Ran An , Ke Chen , Hongwei Li

Neural fields are neural networks which map coordinates to a desired signal. When a neural field should jointly model multiple signals, and not memorize only one, it needs to be conditioned on a latent code which describes the signal at…

Computer Vision and Pattern Recognition · Computer Science 2023-04-28 Martin Gromniak , Sven Magg , Stefan Wermter

While deep learning techniques have become extremely popular for solving a broad range of optimization problems, methods to enforce hard constraints during optimization, particularly on deep neural networks, remain underdeveloped. Inspired…

The state-of-the-art in semantic segmentation is currently represented by fully convolutional networks (FCNs). However, FCNs use large receptive fields and many pooling layers, both of which cause blurring and low spatial resolution in the…

Computer Vision and Pattern Recognition · Computer Science 2016-05-26 Gedas Bertasius , Jianbo Shi , Lorenzo Torresani

As autonomous systems become increasingly prevalent in daily life, ensuring their safety is paramount. Control Barrier Functions (CBFs) have emerged as an effective tool for guaranteeing safety; however, manually designing them for specific…

Robotics · Computer Science 2025-04-16 Shreenabh Agrawal , Manan Tayal , Aditya Singh , Shishir Kolathaya

We investigate the applicability of machine learning based reduced order model (ML-ROM) to three-dimensional complex flows. As an example, we consider a turbulent channel flow at the friction Reynolds number of $Re_\tau=110$ in a minimum…

Fluid Dynamics · Physics 2021-12-08 Taichi Nakamura , Kai Fukami , Kazuto Hasegawa , Yusuke Nabae , Koji Fukagata

We parameterize sub-grid scale (SGS) fluxes in sinusoidally forced two-dimensional turbulence on the $\beta$-plane at high Reynolds numbers (Re$\sim$25000) using simple 2-layer Convolutional Neural Networks (CNN) having only…

Fluid Dynamics · Physics 2023-04-12 Kaushik Srinivasan , Mickael D. Chekroun , James C. McWilliams
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