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We present new extensions to a method for constructing several families of solvable one-dimensional time-homogeneous diffusions whose transition densities are obtainable in analytically closed-form. Our approach is based on a dual…

Pricing of Securities · Quantitative Finance 2014-12-03 Giuseppe Campolieti , Roman N. Makarov

In this work, we propose a novel framework to enable diffusion models to adapt their generation quality based on real-time network bandwidth constraints. Traditional diffusion models produce high-fidelity images by performing a fixed number…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Xi Zhang , Hanwei Zhu , Yan Zhong , Jiamang Wang , Weisi Lin

Accurate Speed-of-Sound (SoS) reconstruction from acoustic waveforms is a cornerstone of ultrasound computed tomography (USCT), enabling quantitative velocity mapping that reveals subtle anatomical details and pathological variations often…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Yujia Wu , Shuoqi Chen , Shiru Wang , Yucheng Tang , Petr Bruza , Geoffrey P. Luke

As multimodal data proliferates across diverse real-world applications, leveraging heterogeneous information such as texts and timestamps for accurate time series forecasting (TSF) has become a critical challenge. While diffusion models…

Machine Learning · Computer Science 2025-12-09 Da Zhang , Bingyu Li , Zhuyuan Zhao , Junyu Gao , Feiping Nie , Xuelong Li

High-fidelity, high-resolution numerical simulations are crucial for studying complex multiscale phenomena in fluid dynamics, such as turbulent flows and ocean waves. However, direct numerical simulations with high-resolution solvers are…

Numerical Analysis · Mathematics 2025-04-14 Wuzhe Xu , Yulong Lu , Lian Shen , Anqing Xuan , Ali Barzegari

Computational methods for learning to sample from the Boltzmann distribution -- where the target distribution is known only up to an unnormalized energy function -- have advanced significantly recently. Due to the lack of explicit target…

Machine Learning · Statistics 2025-11-26 Guan-Horng Liu , Jaemoo Choi , Yongxin Chen , Benjamin Kurt Miller , Ricky T. Q. Chen

Diffusion models have recently shown promise in time series forecasting, particularly for probabilistic predictions. However, they often fail to achieve state-of-the-art point estimation performance compared to regression-based methods.…

Artificial Intelligence · Computer Science 2025-11-25 Hang Ding , Xue Wang , Tian Zhou , Tao Yao

Simulating the conditioned dynamics of diffusion processes, given their initial and terminal states, is an important but challenging problem in the sciences. The difficulty is particularly pronounced for rare events, for which the…

Machine Learning · Statistics 2026-04-23 Samuel Howard , Nikolas Nüsken , Jakiw Pidstrigach

Diffusion probabilistic models (DPMs) have shown remarkable performance in high-resolution image synthesis, but their sampling efficiency is still to be desired due to the typically large number of sampling steps. Recent advancements in…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Shuchen Xue , Zhaoqiang Liu , Fei Chen , Shifeng Zhang , Tianyang Hu , Enze Xie , Zhenguo Li

Discrete diffusion models are often trained through clean-data prediction, but the prediction can be used in different ways to define the reverse dynamics. In Masked Diffusion Models (MDM) these choices largely coincide, whereas in Uniform…

Machine Learning · Computer Science 2026-05-22 Samson Gourevitch , Yazid Janati , Dario Shariatian , Umut Simsekli , Eric Moulines , Eric P. Xing , Alain Durmus

Stable Diffusion fine-tuning technique is tried to assist bridge-type innovation. The bridge real photo dataset is built, and Stable Diffusion is fine tuned by using four methods that are Textual Inversion, Dreambooth, Hypernetwork and…

Machine Learning · Computer Science 2024-09-25 Leye Zhang , Xiangxiang Tian , Chengli Zhang , Hongjun Zhang

Stable Diffusion Models (SDMs) have shown remarkable proficiency in image synthesis. However, their broad application is impeded by their large model sizes and intensive computational requirements, which typically require expensive cloud…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Chenqian Yan , Songwei Liu , Hongjian Liu , Xurui Peng , Xiaojian Wang , Fangmin Chen , Lean Fu , Xing Mei

Adaptation methods have been a workhorse for unlocking the transformative power of pre-trained diffusion models in diverse applications. Existing approaches often abstract adaptation objectives as a reward function and steer diffusion…

Machine Learning · Computer Science 2026-02-19 Qijie Zhu , Zeqi Ye , Han Liu , Zhaoran Wang , Minshuo Chen

Distributed signal processing has attracted widespread attention in the scientific community due to its several advantages over centralized approaches. Recently, graph signal processing has risen to prominence, and adaptive distributed…

Signal Processing · Electrical Eng. & Systems 2020-08-07 Daniel G. Tiglea , Renato Candido , Magno T. M. Silva

Inference-time alignment for diffusion models aims to adapt a pre-trained reference diffusion model toward a target distribution without retraining the reference score network, thereby preserving the generative capacity of the reference…

Machine Learning · Statistics 2026-02-05 Jinyuan Chang , Chenguang Duan , Yuling Jiao , Yi Xu , Jerry Zhijian Yang

Diffusion models have achieved remarkable success in generative tasks but suffer from high computational costs due to their iterative sampling process and quadratic attention costs. Existing training-free acceleration strategies that reduce…

Machine Learning · Computer Science 2025-07-24 Ting Jiang , Yixiao Wang , Hancheng Ye , Zishan Shao , Jingwei Sun , Jingyang Zhang , Zekai Chen , Jianyi Zhang , Yiran Chen , Hai Li

In control theory, typically a nominal model is assumed based on which an optimal control is designed and then applied to an actual (true) system. This gives rise to the problem of performance loss due to the mismatch between the true model…

Optimization and Control · Mathematics 2023-09-19 Somnath Pradhan , Serdar Yuksel

Diffusion models have become a successful approach for solving various image inverse problems by providing a powerful diffusion prior. Many studies tried to combine the measurement into diffusion by score function replacement, matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Hanyu Chen , Zhixiu Hao , Liying Xiao

Diffusion Transformer (DiT) is a crucial method for content generation. However, it needs a lot of time to sample. Many studies have attempted to use caching to reduce the time consumption of sampling. Existing caching methods accelerate…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Junxiang Qiu , Shuo Wang , Jinda Lu , Lin Liu , Houcheng Jiang , Xingyu Zhu , Yanbin Hao

The Schrodinger Bridge and Bass (SBB) formulation, which jointly controls drift and volatility, is an established extension of the classical Schrodinger Bridge (SB). Building on this framework, we introduce LightSBB-M, an algorithm that…

Machine Learning · Computer Science 2026-05-06 Alexandre Alouadi , Pierre Henry-Labordère , Grégoire Loeper , Othmane Mazhar , Huyên Pham , Nizar Touzi