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Score-based diffusion models (SBDM) have recently emerged as state-of-the-art approaches for image generation. Existing SBDMs are typically formulated in a finite-dimensional setting, where images are considered as tensors of finite size.…

Machine Learning · Computer Science 2024-10-22 Paul Hagemann , Sophie Mildenberger , Lars Ruthotto , Gabriele Steidl , Nicole Tianjiao Yang

Spatially distributed problems are often approximately modelled in terms of partial differential equations (PDEs) for appropriate coarse-grained quantities (e.g. concentrations). The derivation of accurate such PDEs starting from finer…

Quantitative Methods · Quantitative Biology 2009-11-13 Liang Qiao , Radek Erban , C. T. Kelley , Ioannis G. Kevrekidis

In this paper, we develop numerical methods for solving Stochastic Differential Equations (SDEs) with solutions that evolve within a hypercube $D$ in $\mathbb{R}^d$. Our approach is based on a convex combination of two numerical flows, both…

Numerical Analysis · Mathematics 2025-03-18 Utku Erdogan , Gabriel Lord

Generative models transform random noise into images; their inversion aims to transform images back to structured noise for recovery and editing. This paper addresses two key tasks: (i) inversion and (ii) editing of a real image using…

Machine Learning · Computer Science 2024-10-15 Litu Rout , Yujia Chen , Nataniel Ruiz , Constantine Caramanis , Sanjay Shakkottai , Wen-Sheng Chu

Diffusion models (DMs) have exhibited remarkable efficacy in various image restoration tasks. However, existing approaches typically operate within the high-dimensional pixel space, resulting in high computational overhead. While methods…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Yang Zheng , Wen Li , Zhaoqiang Liu

We consider the numerical approximation of general semilinear parabolic stochastic partial differential equations (SPDEs) driven by additive space-time noise. In contrast to the standard time stepping methods which uses basic increments of…

Numerical Analysis · Mathematics 2010-05-31 Gabriel J. Lord , Antoine Tambue

Synthetic face recognition (SFR) aims to generate synthetic face datasets that mimic the distribution of real face data, which allows for training face recognition models in a privacy-preserving manner. Despite the remarkable potential of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-25 Shen Li , Jianqing Xu , Jiaying Wu , Miao Xiong , Ailin Deng , Jiazhen Ji , Yuge Huang , Wenjie Feng , Shouhong Ding , Bryan Hooi

In the ELTs era, where the need for versatile and innovative solutions to produce very high spatial resolution images has become a major issue, the search of synergies with other science fields seems a logic step. One of the considered…

Instrumentation and Methods for Astrophysics · Physics 2018-11-15 E. Quevedo , S. Velasco , C. Colodro-Conde , G. Rodríguez-Coira , A. Oscoz , R. L. López , J. Font , J. H. Brito , O. Llinas , S. Robaina , G. M. Callico , R. Sarmiento , R. Rebolo

Driven by rapid advances in large-scale generative models, synthetic data has emerged as a promising solution for visual understanding. While modern diffusion models achieve remarkable photorealistic image synthesis, their potential in…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Jinjin Zhang , Xiefan Guo , Yizhou Jin , Nan Zhou , Di Huang

While diffusion models have achieved state-of-the-art performance in Image Super-Resolution (SR), their prohibitive computational and memory demands restrict their training and inference to fixed-size inputs. The standard workaround to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Shoukun Sun , Zhe Wang , Xiang Que , Jiyin Zhang , Xiaogang Ma

We present a novel method for diffusion-guided frameworks for view-consistent super-resolution (SR) in neural rendering. Our approach leverages existing 2D SR models in conjunction with advanced techniques such as Variational Score…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Shrey Vishen , Jatin Sarabu , Saurav Kumar , Chinmay Bharathulwar , Rithwick Lakshmanan , Vishnu Srinivas

Speech-to-face generation is an intriguing area of research that focuses on generating realistic facial images based on a speaker's audio speech. However, state-of-the-art methods employing GAN-based architectures lack stability and cannot…

Computer Vision and Pattern Recognition · Computer Science 2023-10-06 Jinting Wang , Li Liu , Jun Wang , Hei Victor Cheng

Performing super-resolution of a depth image using the guidance from an RGB image is a problem that concerns several fields, such as robotics, medical imaging, and remote sensing. While deep learning methods have achieved good results in…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Nando Metzger , Rodrigo Caye Daudt , Konrad Schindler

Stochastic differential equations (SDEs) have been widely used to model real world random phenomena. Existing works mainly focus on the case where the time series is modeled by a single SDE, which might be restrictive for modeling time…

Machine Learning · Computer Science 2024-01-23 Zhongchang Sun , Yousef El-Laham , Svitlana Vyetrenko

Super-resolution (SR) is an ill-posed inverse problem with a large set of feasible solutions that are consistent with a given low-resolution image. Various deterministic algorithms aim to find a single solution that balances fidelity and…

Image and Video Processing · Electrical Eng. & Systems 2024-02-13 Cansu Korkmaz , Ege Cirakman , A. Murat Tekalp , Zafer Dogan

Speech super-resolution (SR) is the task that restores high-resolution speech from low-resolution input. Existing models employ simulated data and constrained experimental settings, which limit generalization to real-world SR. Predictive…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Heming Wang , Eric W. Healy , DeLiang Wang

A low-resolution digital surface model (DSM) features distinctive attributes impacted by noise, sensor limitations and data acquisition conditions, which failed to be replicated using simple interpolation methods like bicubic. This causes…

Image and Video Processing · Electrical Eng. & Systems 2024-04-08 Daniel Panangian , Ksenia Bittner

Bayesian flow networks (BFNs) iteratively refine the parameters, instead of the samples in diffusion models (DMs), of distributions at various noise levels through Bayesian inference. Owing to its differentiable nature, BFNs are promising…

Machine Learning · Computer Science 2024-06-04 Kaiwen Xue , Yuhao Zhou , Shen Nie , Xu Min , Xiaolu Zhang , Jun Zhou , Chongxuan Li

We report resolution enhancement in scanning electron microscopy (SEM) images using a generative adversarial network. We demonstrate the veracity of this deep learning-based super-resolution technique by inferring unresolved features in…

Computer Vision and Pattern Recognition · Computer Science 2019-08-21 Kevin de Haan , Zachary S. Ballard , Yair Rivenson , Yichen Wu , Aydogan Ozcan

Recently, convolutional networks have achieved remarkable development in remote sensing image Super-Resoltuion (SR) by minimizing the regression objectives, e.g., MSE loss. However, despite achieving impressive performance, these methods…

Image and Video Processing · Electrical Eng. & Systems 2023-10-31 Yi Xiao , Qiangqiang Yuan , Kui Jiang , Jiang He , Xianyu Jin , Liangpei Zhang