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The distortion-perception (D-P) tradeoff is a fundamental phenomenon of Bayesian inverse problems, which characterizes the inherent tension between distortion performance and perceptual quality. Enabling flexible traversal of the D-P…

Machine Learning · Computer Science 2026-05-29 Jiawei Zhang , Ziyuan Liu , Leon Yan , Zhenyu Xiao , Yuantao Gu

This work explores the theoretical and practical foundations of denoising diffusion probabilistic models (DDPMs) and score-based generative models, which leverage stochastic processes and Brownian motion to model complex data distributions.…

Machine Learning · Computer Science 2024-12-30 Jathin Korrapati , Tanish Baranwal , Rahul Shah

Convolutional neural network (CNN) based methods have recently achieved great success for image super-resolution (SR). However, most deep CNN based SR models attempt to improve distortion measures (e.g. PSNR, SSIM, IFC, VIF) while resulting…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Subeesh Vasu , Nimisha Thekke Madam , Rajagopalan A. N

Whenever inspected by humans, reconstructed signals should not be distinguished from real ones. Typically, such a high perceptual quality comes at the price of high reconstruction error, and vice versa. We study this distortion-perception…

Information Theory · Computer Science 2024-02-06 Dror Freirich , Nir Weinberger , Ron Meir

Signal degradation is ubiquitous and computational restoration of degraded signal has been investigated for many years. Recently, it is reported that the capability of signal restoration is fundamentally limited by the perception-distortion…

Information Theory · Computer Science 2020-06-30 Dong Liu , Haochen Zhang , Zhiwei Xiong

The rate-distortion-perception (RDP) tradeoff characterizes the fundamental limits of lossy compression by jointly considering bitrate, reconstruction fidelity, and perceptual quality. While recent neural compression methods have improved…

Information Theory · Computer Science 2026-05-25 Yuhan Wang , Suzhi Bi , Ying-Jun Angela Zhang

Image restoration algorithms are typically evaluated by some distortion measure (e.g. PSNR, SSIM, IFC, VIF) or by human opinion scores that quantify perceived perceptual quality. In this paper, we prove mathematically that distortion and…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Yochai Blau , Tomer Michaeli

This paper studies the rate-distortion-perception (RDP) tradeoff for a memoryless source model in the asymptotic limit of large block-lengths. The perception measure is based on a divergence between the distributions of the source and…

Information Theory · Computer Science 2025-04-29 Sadaf Salehkalaibar , Jun Chen , Ashish Khisti , Wei Yu

Diffusion models have established new state of the art in a multitude of computer vision tasks, including image restoration. Diffusion-based inverse problem solvers generate reconstructions of exceptional visual quality from heavily…

Image and Video Processing · Electrical Eng. & Systems 2024-08-21 Zalan Fabian , Berk Tinaz , Mahdi Soltanolkotabi

In the field of inverse estimation for systems modeled by partial differential equations (PDEs), challenges arise when estimating high- (or even infinite-) dimensional parameters. Typically, the ill-posed nature of such problems…

Computational Engineering, Finance, and Science · Computer Science 2024-08-30 Yankun Hong , Harshit Bansal , Karen Veroy

Discrete-time diffusion-based generative models and score matching methods have shown promising results in modeling high-dimensional image data. Recently, Song et al. (2021) show that diffusion processes that transform data into noise can…

Machine Learning · Computer Science 2021-10-01 Chin-Wei Huang , Jae Hyun Lim , Aaron Courville

Score-based diffusion models learn to reverse a stochastic differential equation that maps data to noise. However, for complex tasks, numerical error can compound and result in highly unnatural samples. Previous work mitigates this drift…

Machine Learning · Statistics 2023-06-12 Aaron Lou , Stefano Ermon

Diffusion-based generative models (DGMs) have recently attracted attention in speech enhancement research (SE) as previous works showed a remarkable generalization capability. However, DGMs are also computationally intensive, as they…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-21 Chenda Li , Samuele Cornell , Shinji Watanabe , Yanmin Qian

We propose DiffSep, a new single channel source separation method based on score-matching of a stochastic differential equation (SDE). We craft a tailored continuous time diffusion-mixing process starting from the separated sources and…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-03 Robin Scheibler , Youna Ji , Soo-Whan Chung , Jaeuk Byun , Soyeon Choe , Min-Seok Choi

Plug-and-play (PnP) methods are widely used for solving imaging inverse problems by incorporating a denoiser into optimization algorithms. Score-based diffusion models (SBDMs) have recently demonstrated strong generative performance through…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

This paper studies the rate-distortion-perception (RDP) tradeoff for a Gaussian vector source coding problem where the goal is to compress the multi-component source subject to distortion and perception constraints. Specifically, the RDP…

Information Theory · Computer Science 2025-03-18 Jingjing Qian , Sadaf Salehkalaibar , Jun Chen , Ashish Khisti , Wei Yu , Wuxian Shi , Yiqun Ge , Wen Tong

Neural image compression often faces a challenging trade-off among rate, distortion and perception. While most existing methods typically focus on either achieving high pixel-level fidelity or optimizing for perceptual metrics, we propose a…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Chuqin Zhou , Guo Lu , Jiangchuan Li , Xiangyu Chen , Zhengxue Cheng , Li Song , Wenjun Zhang

Creating noise from data is easy; creating data from noise is generative modeling. We present a stochastic differential equation (SDE) that smoothly transforms a complex data distribution to a known prior distribution by slowly injecting…

Machine Learning · Computer Science 2021-02-11 Yang Song , Jascha Sohl-Dickstein , Diederik P. Kingma , Abhishek Kumar , Stefano Ermon , Ben Poole

In this paper, we propose a deep generative adversarial network for super-resolution considering the trade-off between perception and distortion. Based on good performance of a recently developed model for super-resolution, i.e., deep…

Computer Vision and Pattern Recognition · Computer Science 2018-09-24 Manri Cheon , Jun-Hyuk Kim , Jun-Ho Choi , Jong-Seok Lee

In a great number of tasks in science and engineering, the goal is to infer an unknown image from a small number of measurements collected from a known forward model describing certain sensing or imaging modality. Due to resource…

Image and Video Processing · Electrical Eng. & Systems 2024-06-13 Xingyu Xu , Yuejie Chi
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