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We study parametric inference for ergodic diffusion processes with a degenerate diffusion matrix. Existing research focuses on a particular class of hypo-elliptic SDEs, with components split into `rough'/`smooth' and noise from rough…

统计理论 · 数学 2024-05-29 Yuga Iguchi , Alexandros Beskos , Matthew Graham

Image denoising stands as a critical challenge in image processing and computer vision, aiming to restore the original image from noise-affected versions caused by various intrinsic and extrinsic factors. This process is essential for…

图像与视频处理 · 电气工程与系统科学 2024-03-19 Peter Luvton , Alfredo Castillejos , Jim Zhao , Christina Chajo

We present a novel approach to denoising and inpainting problems for surface meshes. The purpose of these problems is to remove noise or fill in missing parts while preserving important features such as sharp edges. A discrete variant of…

Classical diffusion models typically rely on isotropic Gaussian noise, treating all regions uniformly and overlooking structural information important for high-quality generation. We introduce an edge-preserving diffusion process that…

计算机视觉与模式识别 · 计算机科学 2026-04-17 Jente Vandersanden , Sascha Holl , Xingchang Huang , Gurprit Singh

The paper entitled "Well posedness of general cross-diffusion systems", by C. Choquet, C. Rosier, L. Rosier, J. Diff. Eq. 2021, is devoted to the mathematical analysis of the Cauchy problem for general cross-diffusion systems without any…

偏微分方程分析 · 数学 2021-08-31 Catherine Choquet

Based on numerical modeling with the diffusive Giesekus constitutive equation, a recent Letter [Phys. Rev. Lett. 120, 138002 (2018), arXiv:1801.08798] claimed that the experimental reports of shear banding in entangled polymeric fluids were…

软凝聚态物质 · 物理学 2018-06-19 Yangyang Wang , Shi-Qing Wang

Finding an initial noise vector that produces an input image when fed into the diffusion process (known as inversion) is an important problem in denoising diffusion models (DDMs), with applications for real image editing. The…

计算机视觉与模式识别 · 计算机科学 2022-12-23 Bram Wallace , Akash Gokul , Nikhil Naik

In this study, we examine the representation learning abilities of Denoising Diffusion Models (DDM) that were originally purposed for image generation. Our philosophy is to deconstruct a DDM, gradually transforming it into a classical…

计算机视觉与模式识别 · 计算机科学 2024-01-26 Xinlei Chen , Zhuang Liu , Saining Xie , Kaiming He

Generative models capture the true distribution of data, yielding semantically rich representations. Denoising diffusion models (DDMs) exhibit superior generative capabilities, though efficient representation learning for them are lacking.…

机器学习 · 计算机科学 2025-05-12 Limai Jiang , Yunpeng Cai

Denoising diffusions are state-of-the-art generative models exhibiting remarkable empirical performance. They work by diffusing the data distribution into a Gaussian distribution and then learning to reverse this noising process to obtain…

机器学习 · 统计学 2024-02-20 Joe Benton , Yuyang Shi , Valentin De Bortoli , George Deligiannidis , Arnaud Doucet

Differential equations need boundary conditions (BC's) for their solution. It is commonly acknowledged that differential equations and BC's are representative of independent physical processes, and no correlations between them is required.…

数学物理 · 物理学 2025-08-01 F. Sattin , D. F. Escande

With the advent of mobile phone photography and point-and-shoot cameras, deep-burst imaging is widely used for a number of photographic effects such as depth of field, super-resolution, motion deblurring, and image denoising. In this work,…

计算机视觉与模式识别 · 计算机科学 2023-06-19 Arijit Mallick , Raphael Braun , Hendrik PA Lensch

This paper studies the challenging problem of fingerprint image denoising and inpainting. To tackle the challenge of suppressing complicated artifacts (blur, brightness, contrast, elastic transformation, occlusion, scratch, resolution,…

计算机视觉与模式识别 · 计算机科学 2018-08-07 Ramakrishna Prabhu , Xiaojing Yu , Zhangyang Wang , Ding Liu , Anxiao , Jiang

With the increasing prevalence of diffusion-based malicious image manipulation, existing proactive defense methods struggle to safeguard images against tampering under unknown conditions. To address this, we propose Anti-Inpainting, a…

计算机视觉与模式识别 · 计算机科学 2025-08-05 Yimao Guo , Zuomin Qu , Wei Lu , Xiangyang Luo

Adversarial defense research continues to face challenges in combating against advanced adversarial attacks, yet with diffusion models increasingly favoring their defensive capabilities. Unlike most prior studies that focus on diffusion…

计算机视觉与模式识别 · 计算机科学 2026-02-27 Yuan-Chih Chen , Chun-Shien Lu

The presence of a bias in each image data collection has recently attracted a lot of attention in the computer vision community showing the limits in generalization of any learning method trained on a specific dataset. At the same time,…

计算机视觉与模式识别 · 计算机科学 2015-05-07 Tatiana Tommasi , Novi Patricia , Barbara Caputo , Tinne Tuytelaars

As a fundamental building block in computer vision, edges can be categorised into four types according to the discontinuity in surface-Reflectance, Illumination, surface-Normal or Depth. While great progress has been made in detecting…

计算机视觉与模式识别 · 计算机科学 2021-08-03 Mengyang Pu , Yaping Huang , Qingji Guan , Haibin Ling

Edges are a basic and fundamental feature in image processing, that are used directly or indirectly in huge amount of applications. Inspired by the expansion of image resolution and processing power dilated convolution techniques appeared.…

计算机视觉与模式识别 · 计算机科学 2021-11-17 Ciprian Orhei , Victor Bogdan , Cosmin Bonchis

Model-based optimization methods and discriminative learning methods have been the two dominant strategies for solving various inverse problems in low-level vision. Typically, those two kinds of methods have their respective merits and…

计算机视觉与模式识别 · 计算机科学 2017-04-12 Kai Zhang , Wangmeng Zuo , Shuhang Gu , Lei Zhang

Free-form inpainting is the task of adding new content to an image in the regions specified by an arbitrary binary mask. Most existing approaches train for a certain distribution of masks, which limits their generalization capabilities to…

计算机视觉与模式识别 · 计算机科学 2022-09-01 Andreas Lugmayr , Martin Danelljan , Andres Romero , Fisher Yu , Radu Timofte , Luc Van Gool
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