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Diffusion models have emerged as powerful tools for solving inverse problems due to their exceptional ability to model complex prior distributions. However, existing methods predominantly assume known forward operators (i.e., non-blind),…

计算机视觉与模式识别 · 计算机科学 2024-07-02 Weimin Bai , Siyi Chen , Wenzheng Chen , He Sun

The conditional diffusion model (CDM) enhances the standard diffusion model by providing more control, improving the quality and relevance of the outputs, and making the model adaptable to a wider range of complex tasks. However, inaccurate…

机器学习 · 计算机科学 2024-08-07 Weifeng Xu , Xiang Zhu , Xiaoyong Li

Diffusion probabilistic models (DPMs) have shown remarkable performance in visual synthesis but are computationally expensive due to the need for multiple evaluations during the sampling. Recent predictor-corrector diffusion samplers have…

计算机视觉与模式识别 · 计算机科学 2024-09-06 Wenliang Zhao , Haolin Wang , Jie Zhou , Jiwen Lu

We describe a new MCMC method optimized for the sampling of probability measures on Hilbert space which have a density with respect to a Gaussian; such measures arise in the Bayesian approach to inverse problems, and in conditioned…

概率论 · 数学 2014-04-04 Michela Ottobre , Natesh S. Pillai , Frank J. Pinski , Andrew M. Stuart

Langevin Monte Carlo (LMC) is an iterative algorithm used to generate samples from a distribution that is known only up to a normalizing constant. The nonasymptotic dependence of its mixing time on the dimension and target accuracy is…

Model Predictive Control (MPC) is often tuned by trial and error. When a baseline linear controller exists that is already well tuned in the absence of constraints and MPC is introduced to enforce them, one would like to avoid altering the…

系统与控制 · 电气工程与系统科学 2021-11-01 Mario Zanon , Alberto Bemporad

Diffusion models have been widely adopted in image generation, producing higher-quality and more diverse samples than generative adversarial networks (GANs). We introduce a latent diffusion model (LDM) for precipitation nowcasting -…

大气与海洋物理 · 物理学 2023-04-26 Jussi Leinonen , Ulrich Hamann , Daniele Nerini , Urs Germann , Gabriele Franch

Power injection uncertainties in distribution power grids, which are mostly induced by aggressive introduction of intermittent renewable sources, may drive the system away from normal operating regimes and potentially lead to the loss of…

最优化与控制 · 数学 2018-11-21 Hung D. Nguyen , Krishnamurthy Dvijotham , Suhyoun Yu , Konstantin Turitsyn

Stochastic sampling algorithms such as Langevin Monte Carlo are inspired by physical systems in a heat bath. Their equilibrium distribution is the canonical ensemble given by a prescribed target distribution, so they must balance…

高能物理 - 格点 · 物理学 2025-05-06 Jakob Robnik , Uroš Seljak

Langevin diffusions are rapidly convergent under appropriate functional inequality assumptions. Hence, it is natural to expect that with additional smoothness conditions to handle the discretization errors, their discretizations like the…

Inverse problems arise in a multitude of applications, where the goal is to recover a clean signal from noisy and possibly (non)linear observations. The difficulty of a reconstruction problem depends on multiple factors, such as the ground…

图像与视频处理 · 电气工程与系统科学 2024-08-21 Zalan Fabian , Berk Tinaz , Mahdi Soltanolkotabi

Any-to-any singing voice conversion (SVC) aims to transfer a target singer's timbre to other songs using a short voice sample. However many diffusion model based any-to-any SVC methods, which have achieved impressive results, usually…

音频与语音处理 · 电气工程与系统科学 2024-08-23 Shihao Chen , Yu Gu , Jianwei Cui , Jie Zhang , Rilin Chen , Lirong Dai

Model mismatch often poses challenges in model-based controller design. This paper investigates model predictive control (MPC) of uncertain linear systems with input constraints, focusing on stability and closed-loop infinite-horizon…

最优化与控制 · 数学 2025-03-06 Changrui Liu , Shengling Shi , Bart De Schutter

Consistency Models (CMs) have made significant progress in accelerating the generation of diffusion models. However, their application to high-resolution, text-conditioned image generation in the latent space remains unsatisfactory. In this…

We propose a robust model predictive control (MPC) method for discrete-time linear systems with polytopic model uncertainty and additive disturbances. Optimizing over linear time-varying (LTV) state feedback controllers has been…

系统与控制 · 电气工程与系统科学 2023-09-28 Shaoru Chen , Victor M. Preciado , Manfred Morari , Nikolai Matni

Vision-Language Latent Diffusion Models (LDMs) (Rombach et al., 2022) provide powerful generative priors for inverse problems. However, existing LDM-based inverse solvers typically require a large number of neural function evaluations…

机器学习 · 统计学 2026-05-11 Alessio Spagnoletti , Tim Y. J. Wang , Marcelo Pereyra , O. Deniz Akyildiz

Diffusion language models (DLMs) are an attractive alternative to autoregressive models because they promise sublinear-time, parallel generation, yet practical gains remain elusive as high-quality samples still demand hundreds of refinement…

机器学习 · 计算机科学 2026-05-04 Hasan Amin , Yuan Gao , Yaser Souri , Subhojit Som , Ming Yin , Rajiv Khanna , Xia Song

Model Predictive Control (MPC) is a popular technology to operate industrial systems. It refers to a class of control algorithms that use an explicit model of the system to obtain the control action by minimizing a cost function. At each…

最优化与控制 · 数学 2024-11-22 Luz A. Alvarez , Diego F. de Bernardini , Christophe Gallesco

Model predictive control (MPC) is a powerful control method that allows to directly include state and input constraints into the controller design. However, errors in the model, e.g., caused by unknown disturbances, can lead to constraint…

系统与控制 · 电气工程与系统科学 2025-12-08 Felix Brändle , Frank Allgöwer

Diffusion posterior sampling solves inverse problems by combining a pretrained diffusion prior with measurement-consistency guidance, but it often fails to recover fine details because measurement terms are applied in a manner that is…

计算机视觉与模式识别 · 计算机科学 2026-02-03 Feng Tian , Yixuan Li , Weili Zeng , Weitian Zhang , Yichao Yan , Xiaokang Yang