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At the core of modern generative modeling frameworks, including diffusion models, score-based models, and flow matching, is the task of transforming a simple prior distribution into a complex target distribution through stochastic paths in…

Machine Learning · Computer Science 2026-03-20 Sophia Tang

Resampling from a target measure whose density is unknown is a fundamental problem in mathematical statistics and machine learning. A setting that dominates the machine learning literature consists of learning a map from an easy-to-sample…

Machine Learning · Computer Science 2026-02-24 Leticia Mattos Da Silva , Silvia Sellán , Francisco Vargas , Justin Solomon

Predicting the intermediate trajectories between an initial and target distribution is a central problem in generative modeling. Existing approaches, such as flow matching and Schr\"odinger bridge matching, effectively learn mappings…

Machine Learning · Computer Science 2026-03-03 Sophia Tang , Yinuo Zhang , Alexander Tong , Pranam Chatterjee

Efficient and accurate brain ventricle segmentation from clinical CT scans is critical for emergency surgeries like ventriculostomy. With the challenges in poor soft tissue contrast and a scarcity of well-annotated databases for clinical…

Image and Video Processing · Electrical Eng. & Systems 2024-07-16 Reihaneh Teimouri , Marta Kersten-Oertel , Yiming Xiao

We propose Image-to-Image Schr\"odinger Bridge (I$^2$SB), a new class of conditional diffusion models that directly learn the nonlinear diffusion processes between two given distributions. These diffusion bridges are particularly useful for…

Computer Vision and Pattern Recognition · Computer Science 2023-05-29 Guan-Horng Liu , Arash Vahdat , De-An Huang , Evangelos A. Theodorou , Weili Nie , Anima Anandkumar

Generating samples from a probability distribution is a fundamental task in machine learning and statistics. This article proposes a novel scheme for sampling from a distribution for which the probability density $\mu({\bf x})$ for ${\bf…

Computation · Statistics 2024-05-22 Hanwen Huang

Compared to the existing function-based models in deep generative modeling, the recently proposed diffusion models have achieved outstanding performance with a stochastic-process-based approach. But a long sampling time is required for this…

Machine Learning · Computer Science 2022-08-16 Ki-Ung Song

Accurate segmentation of medical images is challenging due to unclear lesion boundaries and mask variability. We introduce \emph{Segmentation Sch\"{o}dinger Bridge (SSB)}, the first application of Sch\"{o}dinger Bridge for ambiguous medical…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Lalith Bharadwaj Baru , Kamalaker Dadi , Tapabrata Chakraborti , Raju S. Bapi

Score-based diffusion models are frequently employed as structural priors in inverse problems. However, their iterative denoising process, initiated from Gaussian noise, often results in slow inference speeds. The Image-to-Image…

Image and Video Processing · Electrical Eng. & Systems 2024-07-08 Yuang Wang , Pengfei Jin , Siyeop Yoon , Matthew Tivnan , Quanzheng Li , Li Zhang , Dufan Wu

Denoising diffusion models have recently emerged as a powerful class of generative models. They provide state-of-the-art results, not only for unconditional simulation, but also when used to solve conditional simulation problems arising in…

Machine Learning · Statistics 2022-06-28 Yuyang Shi , Valentin De Bortoli , George Deligiannidis , Arnaud Doucet

Metasurface inverse design is challenged by the intricate relationship between structural parameters and electromagnetic responses, as well as the high dimensionality of the optimization space. Local models, while commonly employed, quickly…

Diffusion models are a powerful class of generative models which simulate stochastic differential equations (SDEs) to generate data from noise. While diffusion models have achieved remarkable progress, they have limitations in unpaired…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Beomsu Kim , Gihyun Kwon , Kwanyoung Kim , Jong Chul Ye

Modeling the dynamics from sparsely time-resolved snapshot data is crucial for understanding complex cellular processes and behavior. Existing methods leverage optimal transport, Schr\"odinger bridge theory, or their variants to…

Machine Learning · Computer Science 2025-10-28 Zhenyi Zhang , Zihan Wang , Yuhao Sun , Tiejun Li , Peijie Zhou

Retinal fundus photography is significant in diagnosing and monitoring retinal diseases. However, systemic imperfections and operator/patient-related factors can hinder the acquisition of high-quality retinal images. Previous efforts in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-18 Xuanzhao Dong , Vamsi Krishna Vasa , Wenhui Zhu , Peijie Qiu , Xiwen Chen , Yi Su , Yujian Xiong , Zhangsihao Yang , Yanxi Chen , Yalin Wang

Diffusion models (DMs), which enable both image generation from noise and inversion from data, have inspired powerful unpaired image-to-image (I2I) translation algorithms. However, they often require a larger number of neural function…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Jeongsol Kim , Beomsu Kim , Jong Chul Ye

Diffusion models break down the challenging task of generating data from high-dimensional distributions into a series of easier denoising steps. Inspired by this paradigm, we propose a novel approach that extends the diffusion framework…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Eslam Abdelrahman , Liangbing Zhao , Vincent Tao Hu , Matthieu Cord , Patrick Perez , Mohamed Elhoseiny

We consider the problem of sampling from an unknown distribution for which only a sufficiently large number of training samples are available. Such settings have recently drawn considerable interest in the context of generative modelling…

Machine Learning · Statistics 2024-10-24 Georg A. Gottwald , Fengyi Li , Youssef Marzouk , Sebastian Reich

We share our recent findings in an attempt to train a universal segmentation network for various cell types and imaging modalities. Our method was built on the generalized U-Net architecture, which allows the evaluation of each component…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Tianqi Guo , Yin Wang , Luis Solorio , Jan P. Allebach

Most existing methods handle cell instance segmentation problems directly without relying on additional detection boxes. These methods generally fails to separate touching cells due to the lack of global understanding of the objects. In…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Jingru Yi , Pengxiang Wu , Qiaoying Huang , Hui Qu , Bo Liu , Daniel J. Hoeppner , Dimitris N. Metaxas

Predicting single-cell perturbation outcomes directly advances gene function analysis and facilitates drug candidate selection, making it a key driver of both basic and translational biomedical research. However, a major bottleneck in this…

Machine Learning · Computer Science 2025-11-18 Changxi Chi , Yufei Huang , Jun Xia , Jiangbin Zheng , Yunfan Liu , Zelin Zang , Stan Z. Li
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