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In this paper we present a new definition of the distortion matrix for a score following framework based on DTW. The proposal consists of arranging the score information in a sequence of note combinations and learning a spectral pattern for…

Sound · Computer Science 2019-05-30 A. J. Muñoz-Montoro , P. Vera-Candeas , D. Suarez-Dou , R. Cortina

A method is proposed for the calculation of diffusion constants for one-dimensional maps exhibiting deterministic diffusion. The procedure is based on harmonic inversion and uses a known relation between the diffusion constant and the…

Chaotic Dynamics · Physics 2009-11-07 K. Weibert , J. Main , G. Wunner

Recent advances in text-to-3D generation have made significant progress. In particular, with the pretrained diffusion models, existing methods predominantly use Score Distillation Sampling (SDS) to train 3D models such as Neural RaRecent…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Hangyu Li , Xiangxiang Chu , Dingyuan Shi , Wang Lin

Translational diffusion coefficients are routinely estimated from molecular dynamics simulations. Linear fits to mean squared displacement (MSD) curves have become the de facto standard, from simple liquids to complex biomacromolecules.…

Computational Physics · Physics 2020-11-20 Jakob Tómas Bullerjahn , Sören von Bülow , Gerhard Hummer

The Distribution Matching Distillation (DMD) has been successfully applied to text-to-image diffusion models such as Stable Diffusion (SD) 1.5. However, vanilla DMD suffers from convergence difficulties on large-scale flow-based…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Xingtong Ge , Xin Zhang , Tongda Xu , Yi Zhang , Xinjie Zhang , Yan Wang , Jun Zhang

We present a mechanism to steer the sampling diversity of denoising diffusion and flow matching models, allowing users to sample from a sharper or broader distribution than the training distribution. We build on the observation that these…

Machine Learning · Computer Science 2026-05-26 Yanbo Xu , Yu Wu , Sungjae Park , Zhizhuo Zhou , Shubham Tulsiani

Score Distillation Sampling (SDS) by well-trained 2D diffusion models has shown great promise in text-to-3D generation. However, this paradigm distills view-agnostic 2D image distributions into the rendering distribution of 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Chenhan Jiang , Yihan Zeng , Tianyang Hu , Songcun Xu , Wei Zhang , Hang Xu , Dit-Yan Yeung

Learning diffusion bridge models is easy; making them fast and practical is an art. Diffusion bridge models (DBMs) are a promising extension of diffusion models for applications in image-to-image translation. However, like many modern…

Machine Learning · Computer Science 2025-08-19 Nikita Gushchin , David Li , Daniil Selikhanovych , Evgeny Burnaev , Dmitry Baranchuk , Alexander Korotin

Diffusion models generate high-dimensional data with remarkable quality, yet how their training efficiently learns the score function, bypassing the curse of dimensionality when data is supported on low-dimensional manifolds, remains…

Machine Learning · Computer Science 2026-05-21 Wei Huang , Andi Han , Mingyuan Bai , Huanjian Zhou , Qixin Zhang , Taiji Suzuki , Kenji Fukumizu

Diffusion models are often introduced from multiple perspectives, such as VAEs, score matching, or flow matching, accompanied by dense and technically demanding mathematics that can be difficult for beginners to grasp. One classic question…

Machine Learning · Computer Science 2026-04-14 Candi Zheng , Yuan Lan

Stein discrepancies (SDs) monitor convergence and non-convergence in approximate inference when exact integration and sampling are intractable. However, the computation of a Stein discrepancy can be prohibitive if the Stein operator - often…

Machine Learning · Statistics 2020-10-26 Jackson Gorham , Anant Raj , Lester Mackey

Diffusion-based inverse problem solvers (DIS) have recently shown outstanding performance in compressed-sensing parallel MRI reconstruction by combining diffusion priors with physical measurement models. However, they typically rely on…

Image and Video Processing · Electrical Eng. & Systems 2025-09-24 Tingjun Liu , Chicago Y. Park , Yuyang Hu , Hongyu An , Ulugbek S. Kamilov

Diffusion magnetic resonance imaging is a noninvasive imaging technique that can indirectly infer the microstructure of tissues and provide metrics which are subject to normal variability across subjects. Potentially abnormal values or…

Image and Video Processing · Electrical Eng. & Systems 2020-08-28 Samuel St-Jean , Max A. Viergever , Alexander Leemans

Diffusion and flow-based models are ubiquitously used for generative modelling and density estimation. They admit a deterministic probability flow ordinary differential equation (PF-ODE), analogous to continuous normalizing flows (CNFs),…

Machine Learning · Statistics 2026-05-19 Gurjeet Jagwani , Stephen Thorp , Sinan Deger , Hiranya Peiris

We consider the problem of simulating diffusion bridges, which are diffusion processes that are conditioned to initialize and terminate at two given states. The simulation of diffusion bridges has applications in diverse scientific fields…

Computation · Statistics 2025-06-19 Jeremy Heng , Valentin De Bortoli , Arnaud Doucet , James Thornton

Although continuous-time consistency models (e.g., sCM, MeanFlow) are theoretically principled and empirically powerful for fast academic-scale diffusion, its applicability to large-scale text-to-image and video tasks remains unclear due to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Kaiwen Zheng , Yuji Wang , Qianli Ma , Huayu Chen , Jintao Zhang , Yogesh Balaji , Jianfei Chen , Ming-Yu Liu , Jun Zhu , Qinsheng Zhang

Sampling from an unknown distribution, accessible only through discrete samples, is a fundamental problem at the core of generative AI. The current state-of-the-art methods follow a two-step process: first, estimating the score function…

Machine Learning · Computer Science 2026-05-20 Samuel Hurault , Matthieu Terris , Thomas Moreau , Gabriel Peyré

Score-based generative models (SGMs) learn a family of noise-conditional score functions corresponding to the data density perturbed with increasingly large amounts of noise. These perturbed data densities are linked together by the…

Machine Learning · Computer Science 2023-06-16 Chieh-Hsin Lai , Yuhta Takida , Naoki Murata , Toshimitsu Uesaka , Yuki Mitsufuji , Stefano Ermon

Score Distillation Sampling (SDS) has emerged as a prevalent technique for text-to-3D generation, enabling 3D content creation by distilling view-dependent information from text-to-2D guidance. However, they frequently exhibit shortcomings…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Zeyu Cai , Duotun Wang , Yixun Liang , Zhijing Shao , Ying-Cong Chen , Xiaohang Zhan , Zeyu Wang

Unsupervised domain adaptation (UDA) aims to improve model performance on an unlabeled target domain using a related, labeled source domain. A common approach aligns source and target feature distributions by minimizing a distance between…

Machine Learning · Computer Science 2025-12-09 Anneke von Seeger , Dongmian Zou , Gilad Lerman
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