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Deep generative models produce data according to a learned representation, e.g. diffusion models, through a process of approximation computing possible samples. Approximation can be understood as reconstruction and the large datasets used…

Human-Computer Interaction · Computer Science 2023-09-25 Luís Arandas , Mick Grierson , Miguel Carvalhais

Diffusion-based text-to-image generation models like GLIDE and DALLE-2 have gained wide success recently for their superior performance in turning complex text inputs into images of high quality and wide diversity. In particular, they are…

Computer Vision and Pattern Recognition · Computer Science 2022-11-16 Zhihong Pan , Xin Zhou , Hao Tian

Diffusion models achieve state-of-the-art performance in various generation tasks. However, their theoretical foundations fall far behind. This paper studies score approximation, estimation, and distribution recovery of diffusion models,…

Machine Learning · Computer Science 2023-02-15 Minshuo Chen , Kaixuan Huang , Tuo Zhao , Mengdi Wang

Diffusion models, which convert noise into new data instances by learning to reverse a Markov diffusion process, have become a cornerstone in contemporary generative modeling. While their practical power has now been widely recognized, the…

Machine Learning · Statistics 2024-03-08 Gen Li , Yuting Wei , Yuxin Chen , Yuejie Chi

Diffusion models are commonly interpreted as learning the score function, i.e., the gradient of the log-density of noisy data. However, this assumption implies that the target of learning is a conservative vector field, which is not…

Machine Learning · Computer Science 2025-09-03 An B. Vuong , Michael T. McCann , Javier E. Santos , Yen Ting Lin

Recent developments in generative modeling have utilized score-based methods coupled with stochastic differential equations to sample from complex probability distributions. However, these and other performant sampling methods generally…

Machine Learning · Computer Science 2025-06-03 Bryan Riel , Tobias Bischoff

Score-based generative models (SGMs) are powerful tools to sample from complex data distributions. Their underlying idea is to (i) run a forward process for time $T_1$ by adding noise to the data, (ii) estimate its score function, and (iii)…

Machine Learning · Computer Science 2024-06-06 Francesco Pedrotti , Jan Maas , Marco Mondelli

Diffusion models are powerful generative models that map noise to data using stochastic processes. However, for many applications such as image editing, the model input comes from a distribution that is not random noise. As such, diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Linqi Zhou , Aaron Lou , Samar Khanna , Stefano Ermon

In diffusion models, deviations from a straight generative flow are a common issue, resulting in semantic inconsistencies and suboptimal generations. To address this challenge, we introduce `Non-Cross Diffusion', an innovative approach in…

Machine Learning · Computer Science 2024-11-05 Ziyang Zheng , Ruiyuan Gao , Qiang Xu

Generative models have attracted significant interest due to their ability to handle uncertainty by learning the inherent data distributions. However, two prominent generative models, namely Generative Adversarial Networks (GANs) and…

Machine Learning · Computer Science 2023-04-25 Yu Wang , Zhiwei Liu , Liangwei Yang , Philip S. Yu

Denoising diffusion models are a popular class of generative models providing state-of-the-art results in many domains. One adds gradually noise to data using a diffusion to transform the data distribution into a Gaussian distribution.…

Machine Learning · Computer Science 2023-08-21 Francisco Vargas , Will Grathwohl , Arnaud Doucet

Brains construct not only "first-order" representations of the environment but also "higher-order" representations about those representations -- including higher-order uncertainty estimates that guide learning and adaptive behavior.…

Machine Learning · Computer Science 2026-04-15 Hojjat Azimi Asrari , Megan A. K. Peters

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

Score-based generative models (SGMs) are a popular family of deep generative models that achieve leading image generation quality. Early studies extend SGMs to tackle class-conditional generation by coupling an unconditional SGM with the…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Paul Kuo-Ming Huang , Si-An Chen , Hsuan-Tien Lin

Hiding data using neural networks (i.e., neural steganography) has achieved remarkable success across both discriminative classifiers and generative adversarial networks. However, the potential of data hiding in diffusion models remains…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Haoyu Chen , Yunqiao Yang , Nan Zhong , Kede Ma

Generative artificial intelligence (AI) refers to algorithms that create synthetic but realistic output. Diffusion models currently offer state of the art performance in generative AI for images. They also form a key component in more…

Machine Learning · Computer Science 2023-12-27 Catherine F. Higham , Desmond J. Higham , Peter Grindrod

In information retrieval (IR), learning-to-rank (LTR) methods have traditionally limited themselves to discriminative machine learning approaches that model the probability of the document being relevant to the query given some feature…

Information Retrieval · Computer Science 2026-02-13 Sajad Ebrahimi , Bhaskar Mitra , Negar Arabzadeh , Ye Yuan , Haolun Wu , Fattane Zarrinkalam , Ebrahim Bagheri

Score function estimation is the cornerstone of both training and sampling from diffusion generative models. Despite this fact, the most commonly used estimators are either biased neural network approximations or high variance Monte Carlo…

Diffusion Models (DMs), also referred to as score-based diffusion models, utilize neural networks to specify score functions. Unlike most other probabilistic models, DMs directly model the score functions, which makes them more flexible to…

Machine Learning · Computer Science 2023-04-11 Weijian Luo

Diffusion models have shown incredible capabilities as generative models; indeed, they power the current state-of-the-art models on text-conditioned image generation such as Imagen and DALL-E 2. In this work we review, demystify, and unify…

Machine Learning · Computer Science 2022-08-26 Calvin Luo