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Convergence of denoising diffusion models under the manifold hypothesis

10 August 2022

Papers citing "Convergence of denoising diffusion models under the manifold hypothesis"

50 / 126 papers shown

Title
Geometric Regularity in Deterministic Sampling of Diffusion-based Generative Models Defang Chen Zhenyu Zhou C. Wang Siwei Lyu DiffM 58 0 0 11 Jun 2025
Algorithm- and Data-Dependent Generalization Bounds for Score-Based Generative Models Benjamin Dupuis Dario Shariatian Maxime Haddouche Alain Durmus Umut Simsekli 56 0 0 04 Jun 2025
Generalization in VAE and Diffusion Models: A Unified Information-Theoretic Analysis Qi Chen Jierui Zhu Florian Shkurti DiffM 60 1 0 01 Jun 2025
EquiReg: Equivariance Regularized Diffusion for Inverse Problems Bahareh Tolooshams Aditi Chandrashekar Rayhan Zirvi Abbas Mammadov Jiachen Yao Chuwei Wang Anima Anandkumar DiffM 56 0 0 29 May 2025
Learning Single Index Models with Diffusion Priors Anqi Tang Youming Chen Shuchen Xue Zhaoqiang Liu DiffM 77 0 0 27 May 2025
Improving the Euclidean Diffusion Generation of Manifold Data by Mitigating Score Function Singularity Ziqiang Liu Wei Zhang Tiejun Li DiffM 71 0 0 15 May 2025
Wasserstein Convergence of Score-based Generative Models under Semiconvexity and Discontinuous Gradients Stefano Bruno Sotirios Sabanis DiffM 109 1 0 06 May 2025
Capturing Conditional Dependence via Auto-regressive Diffusion Models Xunpeng Huang Yujin Han Difan Zou Yian Ma Tong Zhang DiffM 104 0 0 30 Apr 2025
Generalization through variance: how noise shapes inductive biases in diffusion models John J. Vastola DiffM 486 5 0 16 Apr 2025
Dimension-Free Convergence of Diffusion Models for Approximate Gaussian Mixtures Gen Li Changxiao Cai Yuting Wei DiffM 75 1 0 07 Apr 2025
Can Diffusion Models Disentangle? A Theoretical Perspective Liming Wang Muhammad Jehanzeb Mirza Yishu Gong Yuan Gong Jiaqi Zhang Brian Tracey Katerina Placek Marco Vilela James Glass DiffM CoGe 118 0 0 31 Mar 2025
Optimal Denoising in Score-Based Generative Models: The Role of Data Regularity Eliot Beyler Francis Bach DiffM 111 0 0 17 Mar 2025
Probability-Flow ODE in Infinite-Dimensional Function Spaces Kunwoo Na Junghyun Lee Se-Young Yun Sungbin Lim 79 0 0 13 Mar 2025
On the Interpolation Effect of Score Smoothing Zhengdao Chen DiffM 148 1 0 26 Feb 2025
Optimal Stochastic Trace Estimation in Generative Modeling Xinyang Liu Hengrong Du Wei Deng Ruqi Zhang AI4TS 98 0 0 26 Feb 2025
Reward-Safety Balance in Offline Safe RL via Diffusion Regularization Junyu Guo Zhi Zheng Donghao Ying Ming Jin Shangding Gu C. Spanos Javad Lavaei OffRL 198 0 0 18 Feb 2025
How Compositional Generalization and Creativity Improve as Diffusion Models are Trained Alessandro Favero Antonio Sclocchi Francesco Cagnetta Pascal Frossard Matthieu Wyart DiffM CoGe 110 6 0 17 Feb 2025
Regularization can make diffusion models more efficient Mahsa Taheri Johannes Lederer 171 0 0 13 Feb 2025
An analysis of the noise schedule for score-based generative models SU StanislasStrasman Antonio Ocello Claire Boyer Lpsm Sylvain Le Corff Lpsm Vincent Lemaire DiffM 189 7 0 28 Jan 2025
Adapting to Unknown Low-Dimensional Structures in Score-Based Diffusion Models Gen Li Yuling Yan DiffM 117 23 0 03 Jan 2025
Wasserstein Bounds for generative diffusion models with Gaussian tail targets Xixian Wang Zhongjian Wang 116 0 0 15 Dec 2024
Understanding Generalizability of Diffusion Models Requires Rethinking the Hidden Gaussian Structure Xiang Li Yixiang Dai Qing Qu DiffM AI4CE 104 16 0 31 Oct 2024
How Do Flow Matching Models Memorize and Generalize in Sample Data Subspaces? Weiguo Gao Ming Li OOD 99 3 0 31 Oct 2024
Kernel Approximation of Fisher-Rao Gradient Flows Jia Jie Zhu Alexander Mielke 155 6 0 27 Oct 2024
Influential Language Data Selection via Gradient Trajectory Pursuit Zhiwei Deng Tao Li Yang Li 62 1 0 22 Oct 2024
On the Relation Between Linear Diffusion and Power Iteration Dana Weitzner M. Delbracio P. Milanfar Raja Giryes DiffM 80 0 0 16 Oct 2024
Shallow diffusion networks provably learn hidden low-dimensional structure Nicholas M. Boffi Arthur Jacot Stephen Tu Ingvar M. Ziemann DiffM 83 3 0 15 Oct 2024
Losing dimensions: Geometric memorization in generative diffusion Beatrice Achilli Enrico Ventura Gianluigi Silvestri Bao Pham G. Raya Dmitry Krotov Carlo Lucibello L. Ambrogioni 106 6 0 11 Oct 2024
Manifolds, Random Matrices and Spectral Gaps: The geometric phases of generative diffusion Enrico Ventura Beatrice Achilli Gianluigi Silvestri Carlo Lucibello L. Ambrogioni DiffM 135 10 0 08 Oct 2024
Geometric Representation Condition Improves Equivariant Molecule Generation Zian Li Cai Zhou Xiyuan Wang Xingang Peng Muhan Zhang 104 2 0 04 Oct 2024
Convergence of Score-Based Discrete Diffusion Models: A Discrete-Time Analysis Zikun Zhang Zixiang Chen Quanquan Gu DiffM 156 5 0 03 Oct 2024
Bellman Diffusion: Generative Modeling as Learning a Linear Operator in the Distribution Space Yangming Li Chieh-Hsin Lai Carola-Bibiane Schönlieb Yuki Mitsufuji Stefano Ermon DiffM 70 0 0 02 Oct 2024
Equivariant score-based generative models provably learn distributions with symmetries efficiently Ziyu Chen Markos A. Katsoulakis Benjamin J. Zhang DiffM 72 2 0 02 Oct 2024
Conditional Diffusion Models are Minimax-Optimal and Manifold-Adaptive for Conditional Distribution Estimation Rong Tang Lizhen Lin Yun Yang DiffM 76 1 0 30 Sep 2024
DroneDiffusion: Robust Quadrotor Dynamics Learning with Diffusion Models Avirup Das Rishabh Dev Yadav Sihao Sun Mingfei Sun Samuel Kaski Wei Pan 74 2 0 17 Sep 2024
Theoretical guarantees in KL for Diffusion Flow Matching Marta Gentiloni Silveri Giovanni Conforti Alain Durmus 82 3 0 12 Sep 2024
DAP: Diffusion-based Affordance Prediction for Multi-modality Storage Haonan Chang Kowndinya Boyalakuntla Yuhan Liu Xinyu Zhang Liam Schramm Abdeslam Boularias 93 0 0 31 Aug 2024
A Sharp Convergence Theory for The Probability Flow ODEs of Diffusion Models Gen Li Yuting Wei Yuejie Chi Yuxin Chen DiffM 115 27 0 05 Aug 2024
Speed-accuracy relations for diffusion models: Wisdom from nonequilibrium thermodynamics and optimal transport Kotaro Ikeda Tomoya Uda Daisuke Okanohara Sosuke Ito DiffM 73 1 0 05 Jul 2024
ScoreFusion: Fusing Score-based Generative Models via Kullback-Leibler Barycenters Hao Liu Junze Tony Ye Ye Jose H. Blanchet DiffM FedML 116 1 0 28 Jun 2024
Provable Statistical Rates for Consistency Diffusion Models Zehao Dou Minshuo Chen Mengdi Wang Zhuoran Yang DiffM 102 3 0 23 Jun 2024
Evaluating the design space of diffusion-based generative models Yuqing Wang Ye He Molei Tao DiffM 97 6 0 18 Jun 2024
Mean-field Chaos Diffusion Models S. Park Dongjun Kim Ahmed Alaa DiffM 63 1 0 08 Jun 2024
A Geometric View of Data Complexity: Efficient Local Intrinsic Dimension Estimation with Diffusion Models Hamidreza Kamkari Brendan Leigh Ross Rasa Hosseinzadeh Jesse C. Cresswell Gabriel Loaiza-Ganem DiffM 94 16 0 05 Jun 2024
Hardness of Learning Neural Networks under the Manifold Hypothesis B. Kiani Jason Wang Melanie Weber 72 4 0 03 Jun 2024
Convergence of the denoising diffusion probabilistic models for general noise schedules Yumiharu Nakano DiffM 151 1 0 03 Jun 2024
Global Well-posedness and Convergence Analysis of Score-based Generative Models via Sharp Lipschitz Estimates Connor Mooney Zhongjian Wang Jack Xin Yifeng Yu 69 2 0 25 May 2024
Score-based generative models are provably robust: an uncertainty quantification perspective Nikiforos Mimikos-Stamatopoulos Benjamin J. Zhang Markos A. Katsoulakis DiffM 89 7 0 24 May 2024
Metric Flow Matching for Smooth Interpolations on the Data Manifold Kacper Kapusniak Peter Potaptchik Teodora Reu Leo Zhang Alexander Tong Michael M. Bronstein A. Bose Francesco Di Giovanni 82 22 0 23 May 2024
Diffusion models for Gaussian distributions: Exact solutions and Wasserstein errors Émile Pierret Bruno Galerne DiffM 100 3 0 23 May 2024