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We present an ``equation-free'' multiscale approach to the simulation of unsteady diffusion in a random medium. The diffusivity of the medium is modeled as a random field with short correlation length, and the governing equations are cast…

Numerical Analysis · Mathematics 2007-05-23 Dongbin Xiu , Ioannis Kevrekidis

We consider stochastic control with discretionary stopping for the drift of a diffusion process over an infinite time horizon. The objective is to choose a control process and a stopping time to minimize the expectation of a convex terminal…

Optimization and Control · Mathematics 2025-06-24 Václav E. Beneš , Georgy Gaitsgori , Ioannis Karatzas

Diffusion models for continuous data gained widespread adoption owing to their high quality generation and control mechanisms. However, controllable diffusion on discrete data faces challenges given that continuous guidance methods do not…

This tutorial provides an in-depth guide on inference-time guidance and alignment methods for optimizing downstream reward functions in diffusion models. While diffusion models are renowned for their generative modeling capabilities,…

Artificial Intelligence · Computer Science 2025-01-22 Masatoshi Uehara , Yulai Zhao , Chenyu Wang , Xiner Li , Aviv Regev , Sergey Levine , Tommaso Biancalani

Fine-tuning pre-trained cross-lingual language models can transfer task-specific supervision from one language to the others. In this work, we propose to improve cross-lingual fine-tuning with consistency regularization. Specifically, we…

Computation and Language · Computer Science 2021-06-16 Bo Zheng , Li Dong , Shaohan Huang , Wenhui Wang , Zewen Chi , Saksham Singhal , Wanxiang Che , Ting Liu , Xia Song , Furu Wei

Diffusion models have gained popularity for generating images from textual descriptions. Nonetheless, the substantial need for computational resources continues to present a noteworthy challenge, contributing to time-consuming processes.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Hanwen Chang , Haihao Shen , Yiyang Cai , Xinyu Ye , Zhenzhong Xu , Wenhua Cheng , Kaokao Lv , Weiwei Zhang , Yintong Lu , Heng Guo

Diffusion model, as a new generative model which is very popular in image generation and audio synthesis, is rarely used in speech enhancement. In this paper, we use the diffusion model as a module for stochastic refinement. We propose…

Sound · Computer Science 2022-11-01 Zhibin Qiu , Mengfan Fu , Yinfeng Yu , LiLi Yin , Fuchun Sun , Hao Huang

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

We study continuous-time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump-diffusion processes. We formulate an entropy-regularized exploratory control problem with stochastic policies to…

Machine Learning · Computer Science 2025-08-26 Xuefeng Gao , Lingfei Li , Xun Yu Zhou

The development of diffusion-based generative models over the past decade has largely proceeded independently of progress in representation learning. These diffusion models typically rely on regression-based objectives and generally lack…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 Runqian Wang , Kaiming He

As Diffusion Models have shown promising performance, a lot of efforts have been made to improve the controllability of Diffusion Models. However, how to train Diffusion Models to have the disentangled latent spaces and how to naturally…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Wonwoong Cho , Hareesh Ravi , Midhun Harikumar , Vinh Khuc , Krishna Kumar Singh , Jingwan Lu , David I. Inouye , Ajinkya Kale

The emergence of billion-parameter diffusion models such as Stable Diffusion XL, Imagen, and DALL-E 3 has significantly propelled the domain of generative AI. However, their large-scale architecture presents challenges in fine-tuning and…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Hyogon Ryu , Seohyun Lim , Hyunjung Shim

Fine-tuning text-to-image diffusion models to maximize rewards has proven effective for enhancing model performance. However, reward fine-tuning methods often suffer from slow convergence due to online sample generation. Therefore,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Daewon Chae , June Suk Choi , Jinkyu Kim , Kimin Lee

We consider the existence and first order conditions of optimality for a stochastic optimal control problem inspired by the celebrated FitzHugh-Nagumo model, with nonlinear diffusion term, perturbed by a linear multiplicative Brownian-type…

Optimization and Control · Mathematics 2019-12-03 Francesco Cordoni , Luca Di Persio

Diffusion models emerged as a leading approach in text-to-image generation, producing high-quality images from textual descriptions. However, attempting to achieve detailed control to get a desired image solely through text remains a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Pablo Domingo-Gregorio , Javier Ruiz-Hidalgo

The success of denoising diffusion models raises important questions regarding their generalisation behaviour, particularly in high-dimensional settings. Notably, it has been shown that when training and sampling are performed perfectly,…

Machine Learning · Statistics 2025-07-08 Tyler Farghly , Patrick Rebeschini , George Deligiannidis , Arnaud Doucet

Deep learning requires regularization mechanisms to reduce overfitting and improve generalization. We address this problem by a new regularization method based on distributional robust optimization. The key idea is to modify the…

Machine Learning · Computer Science 2020-06-08 Aurora Cobo Aguilera , Antonio Artés-Rodríguez , Fernando Pérez-Cruz , Pablo Martínez Olmos

Large-scale diffusion models like Stable Diffusion are powerful and find various real-world applications while customizing such models by fine-tuning is both memory and time inefficient. Motivated by the recent progress in natural language…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Chendong Xiang , Fan Bao , Chongxuan Li , Hang Su , Jun Zhu

Diffusion models have shown a great ability at bridging the performance gap between predictive and generative approaches for speech enhancement. We have shown that they may even outperform their predictive counterparts for non-additive…

Audio and Speech Processing · Electrical Eng. & Systems 2024-03-13 Jean-Marie Lemercier , Julius Richter , Simon Welker , Timo Gerkmann

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