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Diffusion models have become a leading paradigm in generative AI, with score estimation via denoising score matching as a central component. While recent theory provides strong statistical guarantees, it typically relies on…

机器学习 · 计算机科学 2026-04-21 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

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…

计算机视觉与模式识别 · 计算机科学 2023-12-06 Linqi Zhou , Aaron Lou , Samar Khanna , Stefano Ermon

Distribution matching (DM) is a versatile domain-invariant representation learning technique that has been applied to tasks such as fair classification, domain adaptation, and domain translation. Non-parametric DM methods struggle with…

机器学习 · 计算机科学 2025-06-18 Ziyu Gong , Jim Lim , David I. Inouye

Score-based diffusion models have achieved remarkable empirical success in generating high-quality samples from target data distributions. Among them, the Denoising Diffusion Probabilistic Model (DDPM) is one of the most widely used…

机器学习 · 统计学 2025-12-16 Yuchen Jiao , Yuchen Zhou , Gen Li

Score-based diffusion models have emerged as one of the most promising frameworks for deep generative modelling. In this work we conduct a systematic comparison and theoretical analysis of different approaches to learning conditional…

机器学习 · 计算机科学 2021-11-29 Georgios Batzolis , Jan Stanczuk , Carola-Bibiane Schönlieb , Christian Etmann

Generative modeling has drawn much attention in creative and scientific data generation tasks. Score-based Diffusion Models, a type of generative model that iteratively learns to denoise data, have shown state-of-the-art results on tasks…

机器人学 · 计算机科学 2024-05-21 Tyler Presser , Agnimitra Dasgupta , Daniel Erwin , Assad Oberai

Reinforcement learning has been widely applied to diffusion and flow models for visual tasks such as text-to-image generation. However, these tasks remain challenging because diffusion models have intractable likelihoods, which creates a…

机器学习 · 计算机科学 2026-05-20 Jaemoo Choi , Yuchen Zhu , Wei Guo , Petr Molodyk , Bo Yuan , Jinbin Bai , Yi Xin , Molei Tao , Yongxin Chen

Diffusion-based generative models have demonstrated a capacity for perceptually impressive synthesis, but can they also be great likelihood-based models? We answer this in the affirmative, and introduce a family of diffusion-based…

机器学习 · 计算机科学 2023-04-17 Diederik P. Kingma , Tim Salimans , Ben Poole , Jonathan Ho

The proposed BSDE-based diffusion model represents a novel approach to diffusion modeling, which extends the application of stochastic differential equations (SDEs) in machine learning. Unlike traditional SDE-based diffusion models, our…

机器学习 · 计算机科学 2023-04-27 Zihao Wang

Score-based diffusion modeling is a generative machine learning algorithm that can be used to sample from complex distributions. They achieve this by learning a score function, i.e., the gradient of the log-probability density of the data,…

机器学习 · 计算机科学 2025-12-17 Dibyajyoti Chakraborty , Haiwen Guan , Jason Stock , Troy Arcomano , Guido Cervone , Romit Maulik

Generative models, particularly diffusion models, have achieved remarkable success in density estimation for multimodal data, drawing significant interest from the reinforcement learning (RL) community, especially in policy modeling in…

机器学习 · 计算机科学 2024-12-03 Jinouwen Zhang , Rongkun Xue , Yazhe Niu , Yun Chen , Jing Yang , Hongsheng Li , Yu Liu

Score-based (denoising diffusion) generative models have recently gained a lot of success in generating realistic and diverse data. These approaches define a forward diffusion process for transforming data to noise and generate data by…

机器学习 · 计算机科学 2021-06-01 Alexia Jolicoeur-Martineau , Ke Li , Rémi Piché-Taillefer , Tal Kachman , Ioannis Mitliagkas

Score-based generative models (SGMs) have achieved remarkable empirical success, motivating their application to a broad range of data distributions. However, extending them to heavy-tailed targets remains a largely open problem. Although…

机器学习 · 统计学 2026-05-15 Tiziano Fassina , Gabriel Cardoso , Sylvan Le Corff , Thomas Romary

Molecular conformation generation poses a significant challenge in the field of computational chemistry. Recently, Diffusion Probabilistic Models (DPMs) and Score-Based Generative Models (SGMs) are effectively used due to their capacity for…

机器学习 · 计算机科学 2024-09-24 Sijia Wang , Chen Wang , Zhenhao Zhao , Jiqiang Zhang , Weiran Cai

Diffusion models have emerged as a powerful framework in generative modeling, typically relying on optimizing neural networks to estimate the score function via forward SDE simulations. In this work, we propose an alternative method that is…

数值分析 · 数学 2025-06-17 Yuehaw Khoo , Mathias Oster , Yifan Peng

Direct Preference Optimization (DPO) is successful for alignment in LLMs but still faces challenges in text-to-image generation. Existing studies are confined to denoising diffusion models while overlooking flow-matching, and suffer from an…

计算机视觉与模式识别 · 计算机科学 2026-05-21 Kesong Li , Yixuan Xu , Kuo-kun Tseng , Weiyi Lu , Kan Liu , Tao Lan

This paper investigates score-based diffusion models when the underlying target distribution is concentrated on or near low-dimensional manifolds within the higher-dimensional space in which they formally reside, a common characteristic of…

机器学习 · 计算机科学 2025-01-03 Gen Li , Yuling Yan

Policy targets evolve faster than the Coupled Model Intercomparison Project cycles, complicating adaptation and mitigation planning that must often contend with outdated projections. Climate model output emulators address this gap by…

大气与海洋物理 · 物理学 2026-04-14 Shahine Bouabid , Andre Nogueira Souza , Raffaele Ferrari

Score-based diffusion models demonstrate superior performance in generative tasks but encounter fundamental bottlenecks in inverse problems due to the analytical intractability of the time-dependent likelihood score. To bridge this gap, we…

最优化与控制 · 数学 2026-05-28 Boyang Zhang , Zhiguo Wang , Ya-Feng Liu

We introduce a novel class of score-based diffusion processes that operate directly in the representation space of Lie groups. Leveraging the framework of Generalized Score Matching, we derive a class of Langevin dynamics that decomposes as…

机器学习 · 计算机科学 2025-10-28 Marco Bertolini , Tuan Le , Djork-Arné Clevert