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Recently, diffusion models (DMs) have been increasingly used in audio processing tasks, including speech super-resolution (SR), which aims to restore high-frequency content given low-resolution speech utterances. This is commonly achieved…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-22 Chin-Yun Yu , Sung-Lin Yeh , György Fazekas , Hao Tang

Part of the success of diffusion models stems from their ability to perform iterative refinement, i.e., repeatedly correcting outputs during generation. However, modern masked discrete diffusion lacks this capability: when a token is…

Machine Learning · Computer Science 2026-02-10 Guanghan Wang , Yair Schiff , Subham Sekhar Sahoo , Volodymyr Kuleshov

Text-to-image diffusion models have recently attracted the interest of many researchers, and inverting the diffusion process can play an important role in better understanding the generative process and how to engineer prompts in order to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

This article addresses the issue of estimating observation parameters (response and error parameters) in inverse problems. The focus is on cases where regularization is introduced in a Bayesian framework and the prior is modeled by a…

Machine Learning · Statistics 2026-02-13 Jean-François Giovannelli

This paper considers the inverse problem of recovering state-dependent source terms in a reaction-diffusion system from overposed data consisting of the values of the state variables either at a fixed finite time (census-type data) or a…

Numerical Analysis · Mathematics 2020-08-26 Barbara Kaltenbacher , William Rundell

In marine towed-streamer seismic acquisition, the nearest hydrophone is often two hundred meter away from the source resulting in missing near-offset traces, which degrades critical processing workflows such as surface-related multiple…

Geophysics · Physics 2026-02-03 Shijun Cheng , Tariq Alkhalifah

In the field of data mining and machine learning, commonly used classification models cannot effectively learn in unbalanced data. In order to balance the data distribution before model training, oversampling methods are often used to…

Machine Learning · Computer Science 2024-03-13 Ming Zheng , Yang Yang , Zhi-Hang Zhao , Shan-Chao Gan , Yang Chen , Si-Kai Ni , Yang Lu

Diffusion models (DMs) have demonstrated remarkable ability to generate diverse and high-quality images by efficiently modeling complex data distributions. They have also been explored as powerful generative priors for signal recovery,…

Machine Learning · Computer Science 2025-05-28 Anqi Tang , Youming Chen , Shuchen Xue , Zhaoqiang Liu

Diffusion-based image super-resolution (SR) models have attracted substantial interest due to their powerful image restoration capabilities. However, prevailing diffusion models often struggle to strike an optimal balance between efficiency…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Qinpeng Cui , Yixuan Liu , Xinyi Zhang , Qiqi Bao , Qingmin Liao , Li Wang , Tian Lu , Zicheng Liu , Zhongdao Wang , Emad Barsoum

Sampling from the posterior is a key technical problem in Bayesian statistics. Rigorous guarantees are difficult to obtain for Markov Chain Monte Carlo algorithms of common use. In this paper, we study an alternative class of algorithms…

Statistics Theory · Mathematics 2024-08-26 Andrea Montanari , Yuchen Wu

Sampling is widely used in various point cloud tasks as it can effectively reduce resource consumption. Recently, some methods have proposed utilizing neural networks to optimize the sampling process for various task requirements.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 Guoqing Zhang , Wenbo Zhao , Jian Liu , Xianming Liu

While diffusion-based image restoration (IR) methods have achieved remarkable success, they are still limited by the low inference speed attributed to the necessity of executing hundreds or even thousands of sampling steps. Existing…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Zongsheng Yue , Jianyi Wang , Chen Change Loy

Diffusion Probabilistic Models (DPM) have shown remarkable efficacy in the synthesis of high-quality images. However, their inference process characteristically requires numerous, potentially hundreds, of iterative steps, which could…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Mingxiao Li , Tingyu Qu , Ruicong Yao , Wei Sun , Marie-Francine Moens

Diffusion-based image super-resolution (SR) methods are mainly limited by the low inference speed due to the requirements of hundreds or even thousands of sampling steps. Existing acceleration sampling techniques inevitably sacrifice…

Computer Vision and Pattern Recognition · Computer Science 2023-10-19 Zongsheng Yue , Jianyi Wang , Chen Change Loy

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

Signal reconstruction is a challenging aspect of computational imaging as it often involves solving ill-posed inverse problems. Recently, deep feed-forward neural networks have led to state-of-the-art results in solving various inverse…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Akshat Dave , Anil Kumar Vadathya , Ramana Subramanyam , Rahul Baburajan , Kaushik Mitra

Diffusion Models have demonstrated remarkable capabilities in handling inverse problems, offering high-quality posterior-sampling-based solutions. Despite significant advances, a fundamental trade-off persists regarding the way the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Noam Elata , Hyungjin Chung , Jong Chul Ye , Tomer Michaeli , Michael Elad

We consider the inverse problem of reconstructing an effective model for a prototypical diffusion process in strongly heterogeneous media based on coarse measurements. The approach is motivated by quasi-local numerical effective forward…

Numerical Analysis · Mathematics 2020-05-05 Alfonso Caiazzo , Roland Maier , Daniel Peterseim

Uncertainty evaluation is critical in scientific and engineering inverse problems. However, existing benchmarks on Diffusion Inverse Solvers (DIS) primarily focus on reconstruction accuracy but overlook uncertainty and distributional…

Machine Learning · Computer Science 2026-05-12 Xiaoyu Qiu , Taewon Yang , Zhanhao Liu , Guanyang Wang , Liyue Shen

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

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