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Diffusion (score-based) generative models have been widely used for modeling various types of complex data, including images, audios, and point clouds. Recently, the deep connection between forward-backward stochastic differential equations…

Machine Learning · Computer Science 2022-06-22 Weitao Du , Tao Yang , He Zhang , Yuanqi Du

Diffusion models have emerged as powerful generative priors for solving PDE-constrained inverse problems. Compared to end-to-end approaches relying on massive paired datasets, explicitly decoupling the prior distribution of physical…

Numerical Analysis · Mathematics 2026-04-23 Haibo Liu , Guang Lin

We investigate the use of diffusion models as neural density estimators. The current approach to this problem involves converting the generative process to a smooth flow, known as the Probability Flow ODE. The log density at a given sample…

Machine Learning · Computer Science 2024-10-10 Akhil Premkumar

Diffusion models excel at capturing the natural design spaces of images, molecules, DNA, RNA, and protein sequences. However, rather than merely generating designs that are natural, we often aim to optimize downstream reward functions while…

Stochastic differential equations (SDEs) provide a natural framework for modelling intrinsic stochasticity inherent in many continuous-time physical processes. When such processes are observed in multiple individuals or experimental units,…

Computation · Statistics 2016-05-19 Gavin A. Whitaker , Andrew Golightly , Richard J. Boys , Chris Sherlock

Diffusion models have achieved remarkable success in generating high quality image and video data. More recently, they have also been used for image compression with high perceptual quality. In this paper, we present a novel approach to…

Image and Video Processing · Electrical Eng. & Systems 2024-02-15 Bohan Li , Yiming Liu , Xueyan Niu , Bo Bai , Lei Deng , Deniz Gündüz

Event vision sensors (neuromorphic cameras) output sparse, asynchronous ON/OFF events triggered by log-intensity threshold crossings, enabling microsecond-scale sensing with high dynamic range and low data bandwidth. As a nonlinear system,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Nimrod Kruger , Nicholas Owen Ralph , Gregory Cohen , Paul Hurley

Diffusion models (DMs) excel in image generation but suffer from slow inference and training-inference discrepancies. Although gradient-based solvers for DMs accelerate denoising inference, they often lack theoretical foundations in…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Shigui Li , Wei Chen , Delu Zeng

Lossy compression relies on an autoencoder to transform a point cloud into latent points for storage, leaving the inherent redundancy of latent representations unexplored. To reduce redundancy in latent points, we propose a diffusion-based…

Computer Vision and Pattern Recognition · Computer Science 2025-10-08 Xiaoge Zhang , Zijie Wu , Mehwish Nasim , Mingtao Feng , Saeed Anwar , Ajmal Mian

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…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Kesong Li , Yixuan Xu , Kuo-kun Tseng , Weiyi Lu , Kan Liu , Tao Lan

Image restoration, which aims to recover high-quality images from their corrupted counterparts, often faces the challenge of being an ill-posed problem that allows multiple solutions for a single input. However, most deep learning based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Wenyi Lian , Wenjing Lian , Ziwei Luo

We provide the first complete continuous time framework for denoising diffusion models of discrete data. This is achieved by formulating the forward noising process and corresponding reverse time generative process as Continuous Time Markov…

Predicting pedestrian motion trajectories is critical for the path planning and motion control of autonomous vehicles. Recent diffusion-based models have shown promising results in capturing the inherent stochasticity of pedestrian behavior…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Yu Liu , Zhijie Liu , Xiao Ren , You-Fu Li , He Kong

Video-diffusion models have recently set the standard in video generation, inpainting, and domain translation thanks to their training stability and high perceptual fidelity. Building on these strengths, we repurpose conditional video…

Computational Engineering, Finance, and Science · Computer Science 2025-07-28 Jaewan Park , Farid Ahmed , Kazuma Kobayashi , Seid Koric , Syed Bahauddin Alam , Iwona Jasiuk , Diab Abueidda

Diffusion processes are instrumental to describe the movement of a continuous quantity in a generic network of interacting agents. Here, we present a probabilistic framework for diffusion in networks and propose to classify agent…

Social and Information Networks · Computer Science 2015-08-28 Wai Hong Ronald Chan , Matthias Wildemeersch , Tony Q. S. Quek

We explore a new research direction in Bayesian variational inference with discrete latent variable priors where we exploit Kronecker matrix algebra for efficient and exact computations of the evidence lower bound (ELBO). The proposed…

Machine Learning · Statistics 2019-01-11 Trefor W. Evans , Prasanth B. Nair

While neural lossy compression techniques have markedly advanced the efficiency of Channel State Information (CSI) compression and reconstruction for feedback in MIMO communications, efficient algorithms for more challenging and practical…

Diffusion models typically operate in the standard framework of generative modelling by producing continuously-valued datapoints. To this end, they rely on a progressive Gaussian smoothing of the original data distribution, which admits an…

Machine Learning · Computer Science 2022-10-27 Pierre H. Richemond , Sander Dieleman , Arnaud Doucet

We propose a new Neural Galerkin Normalizing Flow framework to approximate the transition probability density function of a diffusion process by solving the corresponding Fokker-Planck equation with an atomic initial distribution,…

Machine Learning · Computer Science 2026-03-20 Riccardo Saporiti , Fabio Nobile

Simulating stochastic differential equations (SDEs) in bounded domains, presents significant computational challenges due to particle exit phenomena, which requires accurate modeling of interior stochastic dynamics and boundary…

Machine Learning · Statistics 2025-07-23 Minglei Yang , Yanfang Liu , Diego del-Castillo-Negrete , Yanzhao Cao , Guannan Zhang
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