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A continuing mystery in understanding the empirical success of deep neural networks is their ability to achieve zero training error and generalize well, even when the training data is noisy and there are more parameters than data points. We…

Machine Learning · Computer Science 2019-09-10 Vidya Muthukumar , Kailas Vodrahalli , Vignesh Subramanian , Anant Sahai

The denoising process of diffusion models can be interpreted as an approximate projection of noisy samples onto the data manifold. Moreover, the noise level in these samples approximates their distance to the underlying manifold. Building…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Abulikemu Abuduweili , Chenyang Yuan , Changliu Liu , Frank Permenter

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

Denoising diffusion models are a novel class of generative algorithms that achieve state-of-the-art performance across a range of domains, including image generation and text-to-image tasks. Building on this success, diffusion models have…

Machine Learning · Computer Science 2024-03-08 Nic Fishman , Leo Klarner , Valentin De Bortoli , Emile Mathieu , Michael Hutchinson

Diffusion-based large language models offer a non-autoregressive alternative for text generation, but enabling them to perform complex reasoning remains challenging. Reinforcement learning has recently emerged as an effective post-training…

Artificial Intelligence · Computer Science 2026-04-14 Shaoan Xie , Lingjing Kong , Xiangchen Song , Xinshuai Dong , Guangyi Chen , Eric P. Xing , Kun Zhang

Label smoothing is widely used in deep neural networks for multi-class classification. While it enhances model generalization and reduces overconfidence by aiming to lower the probability for the predicted class, it distorts the predicted…

Machine Learning · Computer Science 2021-10-12 Mohamed Maher , Meelis Kull

Capitalizing on the complementary advantages of generative and discriminative models has always been a compelling vision in machine learning, backed by a growing body of research. This work discloses the hidden semantic structure within…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Mingjia Li , Shuang Li , Tongrui Su , Longhui Yuan , Jian Liang , Wei Li

Diffusion models have achieved remarkable image generation quality surpassing previous generative models. However, a notable limitation of diffusion models, in comparison to GANs, is their difficulty in smoothly interpolating between two…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Kaiwen Zhang , Yifan Zhou , Xudong Xu , Xingang Pan , Bo Dai

Diffusion models are a class of generative models that learn to synthesize samples by inverting a diffusion process that gradually maps data into noise. While these models have enjoyed great success recently, a full theoretical…

Machine Learning · Computer Science 2023-09-22 Raja Marjieh , Ilia Sucholutsky , Thomas A. Langlois , Nori Jacoby , Thomas L. Griffiths

As diffusion models have become the tool of choice for image generation and as the quality of the images continues to improve, the question of how `creativity' originates in diffusion has become increasingly important. The score matching…

Machine Learning · Computer Science 2025-09-30 Emma Finn , T. Anderson Keller , Manos Theodosis , Demba E. Ba

We introduce an integrodifferential extension of the edge-enhancing anisotropic diffusion model for image denoising. By accumulating weighted structural information on multiple scales, our model is the first to create anisotropy through…

Image and Video Processing · Electrical Eng. & Systems 2021-05-18 Tobias Alt , Joachim Weickert

While noise is commonly considered a nuisance in computing systems, a number of studies in neuroscience have shown several benefits of noise in the nervous system from enabling the brain to carry out computations such as probabilistic…

Machine Learning · Computer Science 2020-12-16 Elahe Arani , Fahad Sarfraz , Bahram Zonooz

Diffusion models have achieved remarkable results in image generation, and have similarly been used to learn high-performing policies in sequential decision-making tasks. Decision-making diffusion models can be trained on lower-quality…

Machine Learning · Computer Science 2023-12-12 Felipe Nuti , Tim Franzmeyer , João F. Henriques

Controlling memorization in diffusion models is critical for applications that require generated data to closely match the training distribution. Existing approaches mainly focus on data centric or model centric modifications, treating the…

Machine Learning · Computer Science 2026-01-30 Thuy Phuong Vu , Mai Viet Hoang Do , Minhhuy Le , Dinh-Cuong Hoang , Phan Xuan Tan

Denoising diffusion probabilistic models and score-matching models have proven to be very powerful for generative tasks. While these approaches have also been applied to the generation of discrete graphs, they have, so far, relied on…

Machine Learning · Computer Science 2023-08-17 Kilian Konstantin Haefeli , Karolis Martinkus , Nathanaël Perraudin , Roger Wattenhofer

Score-based diffusion models have emerged as a powerful class of generative methods, achieving state-of-the-art performance across diverse domains. Despite their empirical success, the mathematical foundations of those models remain only…

Optimization and Control · Mathematics 2026-05-13 Kang Liu , Enrique Zuazua

Score-based diffusion models are a powerful class of generative models, widely utilized across diverse domains. Despite significant advancements in large-scale tasks such as text-to-image generation, their application to constrained domains…

Machine Learning · Computer Science 2025-07-15 Saeid Naderiparizi , Xiaoxuan Liang , Setareh Cohan , Berend Zwartsenberg , Frank Wood

Discrete diffusion models are increasingly competitive for language modeling, yet it remains unclear how their denoising objectives organize learning. Although these objectives target the full data distribution, we show that the exact…

Machine Learning · Computer Science 2026-05-15 Adrian Müller , Antoine Gonon , Zebang Shen , Ya-Ping Hsieh , Niao He

Diffusion models have achieved impressive results in generative tasks such as text-to-image synthesis, yet they often struggle to fully align outputs with nuanced user intent and maintain consistent aesthetic quality. Existing…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Dohyun Kim , Seungwoo Lyu , Seung Wook Kim , Paul Hongsuck Seo

Recently there has been a significant interest in learning disentangled representations, as they promise increased interpretability, generalization to unseen scenarios and faster learning on downstream tasks. In this paper, we investigate…

Machine Learning · Computer Science 2019-10-30 Francesco Locatello , Gabriele Abbati , Tom Rainforth , Stefan Bauer , Bernhard Schölkopf , Olivier Bachem