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In latent diffusion models (LDMs), denoising diffusion process efficiently takes place on latent space whose dimension is lower than that of pixel space. Decoder is typically used to transform the representation in latent space to that in…

Machine Learning · Computer Science 2024-09-30 Seongmin Hong , Suh Yoon Jeon , Kyeonghyun Lee , Ernest K. Ryu , Se Young Chun

Diffusion models (DMs) are one of the most widely used generative models for producing high quality images. However, a flurry of recent papers points out that DMs are least private forms of image generators, by extracting a significant…

Machine Learning · Statistics 2025-03-06 Michael F. Liu , Saiyue Lyu , Margarita Vinaroz , Mijung Park

Velocity-model building is a fundamental component of seismic imaging, yet it remains a challenging inverse problem due to limited data coverage, nonlinearity, and the need to integrate heterogeneous information such as well logs. We…

Geophysics · Physics 2026-03-03 Francesco Brandolin , Tariq Alkhalifah

This work presents a physics-conditioned latent diffusion model tailored for dynamical downscaling of atmospheric data, with a focus on reconstructing high-resolution 2-m temperature fields. Building upon a pre-existing diffusion…

Machine Learning · Computer Science 2025-10-29 Paul Rosu , Muchang Bahng , Erick Jiang , Rico Zhu , Vahid Tarokh

Diffusion Language Models (DLMs) have recently achieved strong results in text generation. However, their multi-step sampling leads to slow inference, limiting practical use. To address this, we extend Inverse Distillation, a technique…

Machine Learning · Computer Science 2026-02-24 David Li , Nikita Gushchin , Dmitry Abulkhanov , Eric Moulines , Ivan Oseledets , Maxim Panov , Alexander Korotin

Latent Diffusion Models (LDM), a subclass of diffusion models, mitigate the computational complexity of pixel-space diffusion by operating within a compressed latent space constructed by Variational Autoencoders (VAEs), demonstrating…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Arpan Mahara , Md Rezaul Karim Khan , Naphtali Rishe , Wenjia Wang , Seyed Masoud Sadjadi

Many interesting tasks in image restoration can be cast as linear inverse problems. A recent family of approaches for solving these problems uses stochastic algorithms that sample from the posterior distribution of natural images given the…

Image and Video Processing · Electrical Eng. & Systems 2022-10-14 Bahjat Kawar , Michael Elad , Stefano Ermon , Jiaming Song

Scientific measurements are often bottlenecked by suboptimal conditions, whether that be noise, incomplete spatial coverage, or limited resolution, rendering accurate field reconstruction a difficult task. We introduce LatentPDE, a latent…

Machine Learning · Computer Science 2026-04-28 Valerie Tsao , Nathaniel Chaney , Manolis Veveakis

Diffusion models face a fundamental trade-off between generation quality and computational efficiency. Latent Diffusion Models (LDMs) offer an efficient solution but suffer from potential information loss and non-end-to-end training. In…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Zhennan Chen , Junwei Zhu , Xu Chen , Jiangning Zhang , Xiaobin Hu , Hanzhen Zhao , Chengjie Wang , Jian Yang , Ying Tai

Accurate prediction of physical fields is critical in various engineering applications, including thermal management in electronic systems, airfoil shape optimization in aerospace, and flow field control in hypersonic vehicles. This study…

Fluid Dynamics · Physics 2026-03-12 Yuan Jia , Chi Zhang , Hao Ma , Qiao Zhang , Kai Liu , Chih-Yung Wen

High-resolution (HR) MRI scans obtained from research-grade medical centers provide precise information about imaged tissues. However, routine clinical MRI scans are typically in low-resolution (LR) and vary greatly in contrast and spatial…

Image and Video Processing · Electrical Eng. & Systems 2023-08-25 Jueqi Wang , Jacob Levman , Walter Hugo Lopez Pinaya , Petru-Daniel Tudosiu , M. Jorge Cardoso , Razvan Marinescu

We are concerned with high-fidelity subsurface imaging of the soil, which commonly arises in geotechnical site characterization and geophysical explorations. Specifically, we attempt to image the spatial distribution of the Lame parameters…

Numerical Analysis · Mathematics 2015-10-28 Arash Fathi , Loukas F. Kallivokas , Babak Poursartip

Diffusion Probabilistic Models (DPMs) suffer from inefficient inference due to their slow sampling and high memory consumption, which limits their applicability to various medical imaging applications. In this work, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Fahim Ahmed Zaman , Mathews Jacob , Amanda Chang , Kan Liu , Milan Sonka , Xiaodong Wu

We study posterior sampling for inverse problems in discrete state spaces using discrete diffusion models as generative priors. While continuous diffusion models have become widely used for inverse problems, their discrete counterparts…

Machine Learning · Computer Science 2026-05-12 Chaitanya Amballa , Sattwik Basu , Jorge Vančo Sampedro , Romit Roy Choudhury

Note: The final version of this article was published in Computers and Geosciences, Volume 206, January 2026, 106038. DOI: 10.1016/j.cageo.2025.106038. Readers should refer to the published version for the most up-to-date content.…

In recent years, diffusion models have demonstrated remarkable success in high-fidelity image synthesis. However, fine-tuning these models for specialized domains, such as medical imaging, remains challenging due to limited domain-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Ruchir Namjoshi , Nagasai Thadishetty , Vignesh Kumar , Hemanth Venkateshwara

Diffusion models have achieved promising results in image restoration tasks, yet suffer from time-consuming, excessive computational resource consumption, and unstable restoration. To address these issues, we propose a robust and efficient…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Hai Jiang , Ao Luo , Songchen Han , Haoqiang Fan , Shuaicheng Liu

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…

Machine Learning · Statistics 2026-05-11 Alessio Spagnoletti , Tim Y. J. Wang , Marcelo Pereyra , O. Deniz Akyildiz

Latent Diffusion Models (LDMs) are known to have an unstable generation process, where even small perturbations or shifts in the input noise can lead to significantly different outputs. This hinders their applicability in applications…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Yifan Zhou , Zeqi Xiao , Shuai Yang , Xingang Pan

Diffusion models have demonstrated their utility as learned priors for solving various inverse problems. However, most existing approaches are limited to linear inverse problems. This paper exploits the efficient and unsupervised posterior…

Image and Video Processing · Electrical Eng. & Systems 2025-01-07 Mehmet Onurcan Kaya , Figen S. Oktem