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A first-order, Monte Carlo ensemble method has been recently introduced for solving parabolic equations with random coefficients in [26], which is a natural synthesis of the ensemble-based, Monte Carlo sampling algorithm and the…

Numerical Analysis · Mathematics 2018-02-19 Yan Luo , Zhu Wang

Diffusion probabilistic models (DPMs) and their extensions have emerged as competitive generative models yet confront challenges of efficient sampling. We propose a new bilateral denoising diffusion model (BDDM) that parameterizes both the…

Audio and Speech Processing · Electrical Eng. & Systems 2022-03-28 Max W. Y. Lam , Jun Wang , Dan Su , Dong Yu

We propose a deep learning algorithm for high dimensional optimal stopping problems. Our method is inspired by the penalty method for solving free boundary PDEs. Within our approach, the penalized PDE is approximated using the Deep BSDE…

Mathematical Finance · Quantitative Finance 2026-04-07 Yunfei Peng , Pengyu Wei , Wei Wei

Diffusion models have emerged as preeminent contenders in the realm of generative models. Distinguished by their distinctive sequential generative processes, characterized by hundreds or even thousands of timesteps, diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Haojun Sun , Chen Tang , Zhi Wang , Yuan Meng , Jingyan jiang , Xinzhu Ma , Wenwu Zhu

Recent work showed that large diffusion models can be reused as highly precise monocular depth estimators by casting depth estimation as an image-conditional image generation task. While the proposed model achieved state-of-the-art results,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-23 Gonzalo Martin Garcia , Karim Knaebel , Christian Schmidt , Daan de Geus , Alexander Hermans , Bastian Leibe

Diffusion models have seen notable success in continuous domains, leading to the development of discrete diffusion models (DDMs) for discrete variables. Despite recent advances, DDMs face the challenge of slow sampling speeds. While…

Machine Learning · Computer Science 2024-10-11 Yong-Hyun Park , Chieh-Hsin Lai , Satoshi Hayakawa , Yuhta Takida , Yuki Mitsufuji

Diffusion models have achieved cutting-edge performance in image generation. However, their lengthy denoising process and computationally intensive score estimation network impede their scalability in low-latency and resource-constrained…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Qian Zeng , Jie Song , Han Zheng , Hao Jiang , Mingli Song

Preference learning has garnered extensive attention as an effective technique for aligning diffusion models with human preferences in visual generation. However, existing alignment approaches such as Diffusion-DPO suffer from two…

Machine Learning · Computer Science 2026-05-19 Xiaomeng Yang , Mengping Yang , Junyan Wang , Zhijian Zhou , Zhiyu Tan , Hao Li

Training deep learning methods on small time series datasets that also include corrupted samples is challenging. Diffusion models have shown to be effective to generate realistic and synthetic data, and correct corrupted samples through…

Machine Learning · Computer Science 2025-09-17 Julian Ripper , Ousama Esbel , Rafael Fietzek , Max Mühlhäuser , Thomas Kreutz

Diffusion models have significantly advanced the state of the art in image, audio, and video generation tasks. However, their applications in practical scenarios are hindered by slow inference speed. Drawing inspiration from the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Chen Xu , Tianhui Song , Weixin Feng , Xubin Li , Tiezheng Ge , Bo Zheng , Limin Wang

This paper deals with the problem of efficient sampling from a stochastic differential equation, given the drift function and the diffusion matrix. The proposed approach leverages a recent model for probabilities \cite{rudi2021psd} (the…

Machine Learning · Statistics 2023-05-25 Anant Raj , Umut Şimşekli , Alessandro Rudi

Diffusion Morphs (DiM) are a recent state-of-the-art method for creating high quality face morphs; however, they require a high number of network function evaluations (NFE) to create the morphs. We propose a new DiM pipeline, Fast-DiM,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Zander W. Blasingame , Chen Liu

Langevin Dynamics is a Stochastic Differential Equation (SDE) central to sampling and generative modeling and is implemented via time discretization. Langevin Monte Carlo (LMC), based on the Euler-Maruyama discretization, is the simplest…

Machine Learning · Computer Science 2025-10-10 Saravanan Kandasamy , Dheeraj Nagaraj

This report presents the comprehensive implementation, evaluation, and optimization of Denoising Diffusion Probabilistic Models (DDPMs) and Denoising Diffusion Implicit Models (DDIMs), which are state-of-the-art generative models. During…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Jaineet Shah , Michael Gromis , Rickston Pinto

Enhancing the efficiency of high-quality image generation using Diffusion Models (DMs) is a significant challenge due to the iterative nature of the process. Flow Matching (FM) is emerging as a powerful generative modeling paradigm based on…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Pascal Zwick , Nils Friederich , Maximilian Beichter , Lennart Hilbert , Ralf Mikut , Oliver Bringmann

The blooming diffusion probabilistic models (DPMs) have garnered significant interest due to their impressive performance and the elegant inspiration they draw from physics. While earlier DPMs relied upon the Markovian assumption, recent…

Artificial Intelligence · Computer Science 2023-12-12 Bowen Sun , Shibao Zheng

The slow iterative sampling nature remains a major bottleneck for the practical deployment of diffusion and flow-based generative models. While consistency models (CMs) represent a state-of-the-art distillation-based approach for efficient…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Linwei Dong , Ruoyu Guo , Ge Bai , Zehuan Yuan , Yawei Luo , Changqing Zou

Diffusion distillation methods aim to compress the diffusion models into efficient one-step generators while trying to preserve quality. Among them, Distribution Matching Distillation (DMD) offers a suitable framework for training…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 Denis Rakitin , Ivan Shchekotov , Dmitry Vetrov

Denoising Diffusion Probabilistic Models (DDPMs) are powerful generative deep learning models that have been very successful at image generation, and, very recently, in path planning and control. In this paper, we investigate how to…

Robotics · Computer Science 2024-11-18 Michiel Nikken , Nicolò Botteghi , Wesley Roozing , Federico Califano

We present a new parallel algorithm for probabilistic graphical model optimization. The algorithm relies on data-parallel primitives (DPPs), which provide portable performance over hardware architecture. We evaluate results on CPUs and GPUs…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-14 Brenton Lessley , Talita Perciano , Colleen Heinemann , David Camp , Hank Childs , E. Wes Bethel