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We investigate the approximation efficiency of score functions by deep neural networks in diffusion-based generative modeling. While existing approximation theories utilize the smoothness of score functions, they suffer from the curse of…

Machine Learning · Computer Science 2023-09-21 Song Mei , Yuchen Wu

Diffusion models learn to restore noisy data, which is corrupted with different levels of noise, by optimizing the weighted sum of the corresponding loss terms, i.e., denoising score matching loss. In this paper, we show that restoring data…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Jooyoung Choi , Jungbeom Lee , Chaehun Shin , Sungwon Kim , Hyunwoo Kim , Sungroh Yoon

Score Distillation Sampling (SDS) enables 3D asset generation by distilling priors from pretrained 2D text-to-image diffusion models, but vanilla SDS suffers from over-saturation and over-smoothing. To mitigate this issue, recent variants…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Zhou Xu , Qi Wang , Yuxiao Yang , Luyuan Zhang , Zhang Liang , Yang Li

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

We study the behavior of deterministic methods for solving inverse problems in imaging. These methods are commonly designed to achieve two goals: (1) attaining high perceptual quality, and (2) generating reconstructions that are consistent…

Image and Video Processing · Electrical Eng. & Systems 2024-06-11 Guy Ohayon , Tomer Michaeli , Michael Elad

We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those…

Information Theory · Computer Science 2007-07-13 Nan Liu , Sennur Ulukus

Solving inverse problems with the reverse process of a diffusion model represents an appealing avenue to produce highly realistic, yet diverse solutions from incomplete and possibly noisy measurements, ultimately enabling uncertainty…

Geophysics · Physics 2025-01-10 Matteo Ravasi

Lossy compression algorithms are typically designed and analyzed through the lens of Shannon's rate-distortion theory, where the goal is to achieve the lowest possible distortion (e.g., low MSE or high SSIM) at any given bit rate. However,…

Machine Learning · Computer Science 2019-07-31 Yochai Blau , Tomer Michaeli

Discrete diffusion models achieve strong performance in text and image generation, but their inference remains slow and must inherently balance sampling efficiency and sample quality. In this work, we present a systematic study of how the…

Machine Learning · Computer Science 2026-05-27 William Yuan , Sungwon Jeong , Amirali Aghazadeh

The proposed method, Discriminator Guidance, aims to improve sample generation of pre-trained diffusion models. The approach introduces a discriminator that gives explicit supervision to a denoising sample path whether it is realistic or…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Dongjun Kim , Yeongmin Kim , Se Jung Kwon , Wanmo Kang , Il-Chul Moon

Diffusion models for image generation often exhibit a trade-off between perceptual sample quality and data likelihood: training objectives emphasizing high-noise denoising steps yield realistic images but poor likelihoods, whereas…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Yasin Esfandiari , Stefan Bauer , Sebastian U. Stich , Andrea Dittadi

We present a concise derivation for several influential score-based diffusion models that relies on only a few textbook results. Diffusion models have recently emerged as powerful tools for generating realistic, synthetic signals --…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Chicago Y. Park , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

With the remarkable advent of text-to-image diffusion models, image editing methods have become more diverse and continue to evolve. A promising recent approach in this realm is Delta Denoising Score (DDS) - an image editing technique based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Hyelin Nam , Gihyun Kwon , Geon Yeong Park , Jong Chul Ye

Score distillation sampling (SDS) has proven to be an important tool, enabling the use of large-scale diffusion priors for tasks operating in data-poor domains. Unfortunately, SDS has a number of characteristic artifacts that limit its…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 David McAllister , Songwei Ge , Jia-Bin Huang , David W. Jacobs , Alexei A. Efros , Aleksander Holynski , Angjoo Kanazawa

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jiaqi Yan , Hideaki Ishii

Deep learning (DL)-based methods have recently shown great promise in bitemporal change detection (CD). Existing discriminative methods based on Convolutional Neural Networks (CNNs) and Transformers rely on discriminative representation…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Yihan Wen , Xianping Ma , Xiaokang Zhang , Man-On Pun

Coherent imaging systems, such as medical ultrasound and synthetic aperture radar (SAR), are subject to corruption from speckle due to sub-resolution scatterers. Since speckle is multiplicative in nature, the constituent image regions…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Soumee Guha , Scott T. Acton

How diffusion models generalize beyond their training set is not known, and is somewhat mysterious given two facts: the optimum of the denoising score matching (DSM) objective usually used to train diffusion models is the score function of…

Machine Learning · Computer Science 2025-04-18 John J. Vastola

Diffusion models are typically trained using score matching, a learning objective agnostic to the underlying noising process that guides the model. This paper argues that Markov noising processes enjoy an advantage over alternatives, as the…

Machine Learning · Statistics 2025-05-27 Zheyang Shen , Huihui Wang , Marina Riabiz , Chris J. Oates

Score-based generative modeling (SGM) has grown to be a hugely successful method for learning to generate samples from complex data distributions such as that of images and audio. It is based on evolving an SDE that transforms white noise…

Machine Learning · Computer Science 2022-10-04 Holden Lee , Jianfeng Lu , Yixin Tan