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We address the problem of simulation and parameter inference for chemical reaction networks described by the chemical Langevin equation, a stochastic differential equation (SDE) representation of the dynamics of the chemical species. This…

Methodology · Statistics 2025-08-18 Petar Jovanovski , Andrew Golightly , Umberto Picchini , Massimiliano Tamborrino

We use a one-dimensional two layer model with a semi-permeable membrane to study the diffusion of a therapeutic drug delivered from a drug-eluting stent (DES). The rate of drug transfer from the stent coating to the arterial wall is…

Statistical Mechanics · Physics 2018-06-13 Shaked Regev , Oded Farago

Overdamped Langevin dynamics are reversible stochastic differential equations which are commonly used to sample probability measures in high-dimensional spaces, such as the ones appearing in computational statistical physics and Bayesian…

Numerical Analysis · Mathematics 2025-02-10 Tony Lelièvre , Grigorios A. Pavliotis , Geneviève Robin , Régis Santet , Gabriel Stoltz

Observing superdiffusive scaling in the spin transport of the integrable 1D Heisenberg model is one of the key discoveries in non-equilibrium quantum many-body physics. Despite this remarkable theoretical development and the subsequent…

Diffusion models have shown remarkable performance in generation problems over various domains including images, videos, text, and audio. A practical bottleneck of diffusion models is their sampling speed, due to the repeated evaluation of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Taehong Moon , Moonseok Choi , EungGu Yun , Jongmin Yoon , Gayoung Lee , Jaewoong Cho , Juho Lee

We introduce a thermodynamically consistent, minimal stochastic model for complementary logic gates built with field-effect transistors. We characterize the performance of such gates with tools from information theory and study the…

Statistical Mechanics · Physics 2021-08-25 Chloe Ya Gao , David T. Limmer

Predicting the dynamic behaviors of particles in suspension subject to hydrodynamic interaction (HI) and external drive can be critical for many applications. By harvesting advanced deep learning techniques, the present work introduces a…

Machine Learning · Computer Science 2022-08-24 Zhan Ma , Zisheng Ye , Wenxiao Pan

The rapid advancements in machine learning techniques have led to significant achievements in various real-world robotic tasks. These tasks heavily rely on fast and energy-efficient inference of deep neural network (DNN) models when…

Robotics · Computer Science 2024-05-30 Zekai Sun , Xiuxian Guan , Junming Wang , Haoze Song , Yuhao Qing , Tianxiang Shen , Dong Huang , Fangming Liu , Heming Cui

Grasping is a fundamental skill in robotics with diverse applications across medical, industrial, and domestic domains. However, current approaches for predicting valid grasps are often tailored to specific grippers, limiting their…

Robotics · Computer Science 2024-10-25 Roman Freiberg , Alexander Qualmann , Ngo Anh Vien , Gerhard Neumann

We study the dynamics of Brownian particles in a heterogeneous one-dimensional medium with a spatially-dependent diffusion coefficient of the form $D(x)\sim |x|^c$, at constant temperature. The particle's probability distribution function…

Statistical Mechanics · Physics 2016-08-03 Shaked Regev , Niels Grønbech-Jensen , Oded Farago

We formulate a new theory for how caging constraints in glass-forming liquids at a surface or interface are modified and then spatially transferred, in a layer-by-layer bootstrapped manner, into the film interior in the context of the…

Soft Condensed Matter · Physics 2019-02-20 Anh D. Phan , Kenneth S. Schweizer

Diffusion Transformers rely on static patchify tokenization, assigning the same token budget to smooth backgrounds, detailed object regions, noisy early timesteps, and late-stage refinements. We introduce the Dynamic Chunking Diffusion…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Akash Haridas , Utkarsh Saxena , Parsa Ashrafi Fashi , Mehdi Rezagholizadeh , Vikram Appia , Emad Barsoum

To generate data from trained diffusion models, most inference algorithms, such as DDPM, DDIM, and other variants, rely on discretizing the reverse SDEs or their equivalent ODEs. In this paper, we view such approaches as decomposing the…

Machine Learning · Statistics 2024-05-28 Xunpeng Huang , Difan Zou , Hanze Dong , Yi Zhang , Yi-An Ma , Tong Zhang

Substation meters play a critical role in monitoring and ensuring the stable operation of power grids, yet their detection of cracks and other physical defects is often hampered by a severe scarcity of annotated samples. To address this…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Jackie Alex , Justin Petter

Simulation of conditioned diffusion processes is an essential tool in inference for stochastic processes, data imputation, generative modelling, and geometric statistics. Whilst simulating diffusion bridge processes is already difficult on…

Probability · Mathematics 2024-04-24 Erlend Grong , Karen Habermann , Stefan Sommer

The rapid progress in artificial intelligence-generated content (AIGC), especially with diffusion models, has significantly advanced development of high-quality video generation. However, current video diffusion models exhibit demanding…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zheng Zhan , Yushu Wu , Yifan Gong , Zichong Meng , Zhenglun Kong , Changdi Yang , Geng Yuan , Pu Zhao , Wei Niu , Yanzhi Wang

Diffusion models (DMs) have become the dominant paradigm of generative modeling in a variety of domains by learning stochastic processes from noise to data. Recently, diffusion denoising bridge models (DDBMs), a new formulation of…

Machine Learning · Computer Science 2024-11-01 Guande He , Kaiwen Zheng , Jianfei Chen , Fan Bao , Jun Zhu

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

Virtual try-on methods based on diffusion models achieve realistic try-on effects. They use an extra reference network or an additional image encoder to process multiple conditional image inputs, which adds complexity pre-processing and…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Junsheng Luan , Guangyuan Li , Lei Zhao , Wei Xing

We propose GRAM-DIFF, a Gram-matrix-guided diffusion framework for semi-blind multiple input multiple output (MIMO) channel estimation. Recent diffusion-based estimators leverage learned generative priors to improve pilot-based channel…

Information Theory · Computer Science 2026-02-18 Xinyuan Wang , Krishna Narayanan