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Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups

25 May 2024

Yuchen Zhu

Tianrong Chen

Lingkai Kong

Evangelos A. Theodorou

Molei Tao

DiffM

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Papers citing "Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups"

33 / 33 papers shown

Title
Efficient Diffusion Models for Symmetric Manifolds Oren Mangoubi Neil He Nisheeth K. Vishnoi MedIm 76 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 60 0 0 15 May 2025
Generative Modeling on Lie Groups via Euclidean Generalized Score Matching Marco Bertolini Tuan Le Djork-Arné Clevert DiffM 173 0 0 04 Feb 2025
Diffusion Generative Modeling for Spatially Resolved Gene Expression Inference from Histology Images Sichen Zhu Yuchen Zhu Molei Tao Peng-Chao Qiu MedIm 89 4 0 28 Jan 2025
Convergence of Kinetic Langevin Monte Carlo on Lie groups Lingkai Kong Molei Tao AI4CE 53 5 0 18 Mar 2024
Improved motif-scaffolding with SE(3) flow matching Jason Yim Andrew Campbell Emile Mathieu Andrew Y. K. Foong Michael Gastegger ... Victor Garcia Satorras Bastiaan S. Veeling Frank Noé Regina Barzilay Tommi Jaakkola 58 37 0 08 Jan 2024
Scaling Riemannian Diffusion Models Aaron Lou Minkai Xu Stefano Ermon 60 9 0 30 Oct 2023
Generative Modeling with Phase Stochastic Bridges Tianrong Chen Jiatao Gu Laurent Dinh Evangelos A. Theodorou J. Susskind Shuangfei Zhai DiffM 57 19 0 11 Oct 2023
Generative Modeling on Manifolds Through Mixture of Riemannian Diffusion Processes Jaehyeong Jo Sung Ju Hwang DiffM 69 10 0 11 Oct 2023
SE(3)-Stochastic Flow Matching for Protein Backbone Generation A. Bose Tara Akhound-Sadegh Guillaume Huguet Kilian Fatras Jarrid Rector-Brooks Cheng-Hao Liu A. Nica Maksym Korablyov Michael M. Bronstein Alexander Tong DiffM 83 84 0 03 Oct 2023
A Complete Recipe for Diffusion Generative Models Kushagra Pandey Stephan Mandt DiffM 65 9 0 03 Mar 2023
Flow Matching on General Geometries Ricky T. Q. Chen Y. Lipman AI4CE 109 84 0 07 Feb 2023
SE(3) diffusion model with application to protein backbone generation Jason Yim Brian L. Trippe Valentin De Bortoli Emile Mathieu Arnaud Doucet Regina Barzilay Tommi Jaakkola DiffM 77 209 0 05 Feb 2023
Flow Matching for Generative Modeling Y. Lipman Ricky T. Q. Chen Heli Ben-Hamu Maximilian Nickel Matt Le OOD 209 1,373 0 06 Oct 2022
Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow Xingchao Liu Chengyue Gong Qiang Liu OOD 209 1,043 0 07 Sep 2022
Matching Normalizing Flows and Probability Paths on Manifolds Heli Ben-Hamu Samuel N. Cohen Joey Bose Brandon Amos Aditya Grover Maximilian Nickel Ricky T. Q. Chen Y. Lipman 96 42 0 11 Jul 2022
Neural Implicit Manifold Learning for Topology-Aware Density Estimation Brendan Leigh Ross Gabriel Loaiza-Ganem Anthony L. Caterini Jesse C. Cresswell AI4CE 69 3 0 22 Jun 2022
Elucidating the Design Space of Diffusion-Based Generative Models Tero Karras M. Aittala Timo Aila S. Laine DiffM 215 2,022 0 01 Jun 2022
Riemannian Score-Based Generative Modelling Valentin De Bortoli Emile Mathieu M. Hutchinson James Thornton Yee Whye Teh Arnaud Doucet DiffM 281 172 0 06 Feb 2022
Score-Based Generative Modeling with Critically-Damped Langevin Diffusion Tim Dockhorn Arash Vahdat Karsten Kreis DiffM 96 236 0 14 Dec 2021
Moser Flow: Divergence-based Generative Modeling on Manifolds N. Rozen Aditya Grover Maximilian Nickel Y. Lipman DRL AI4CE 77 60 0 18 Aug 2021
Diffusion Models Beat GANs on Image Synthesis Prafulla Dhariwal Alex Nichol 265 7,938 0 11 May 2021
Score-Based Generative Modeling through Stochastic Differential Equations Yang Song Jascha Narain Sohl-Dickstein Diederik P. Kingma Abhishek Kumar Stefano Ermon Ben Poole DiffM SyDa 353 6,566 0 26 Nov 2020
Denoising Diffusion Probabilistic Models Jonathan Ho Ajay Jain Pieter Abbeel DiffM 689 18,310 0 19 Jun 2020
Riemannian Continuous Normalizing Flows Emile Mathieu Maximilian Nickel AI4CE 96 126 0 18 Jun 2020
Neural Manifold Ordinary Differential Equations Aaron Lou Derek Lim Isay Katsman Leo Huang Qingxuan Jiang Ser-Nam Lim Christopher De Sa BDL AI4CE 74 81 0 18 Jun 2020
Neural Ordinary Differential Equations on Manifolds Luca Falorsi Patrick Forré BDL AI4CE 56 33 0 11 Jun 2020
Flows for simultaneous manifold learning and density estimation Johann Brehmer Kyle Cranmer DRL AI4CE 90 163 0 31 Mar 2020
Variational Optimization on Lie Groups, with Examples of Leading (Generalized) Eigenvalue Problems Molei Tao T. Ohsawa DRL 85 17 0 27 Jan 2020
Sliced Score Matching: A Scalable Approach to Density and Score Estimation Yang Song Sahaj Garg Jiaxin Shi Stefano Ermon 115 418 0 17 May 2019
Reparameterizing Distributions on Lie Groups Luca Falorsi P. D. Haan Tim R. Davidson Patrick Forré BDL DRL 64 83 0 07 Mar 2019
A micro Lie theory for state estimation in robotics J. Solà Jeremie Deray Dinesh Atchuthan 48 413 0 04 Dec 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 434 5,157 0 19 Jun 2018