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Understanding the continuous evolution of populations from discrete temporal snapshots is a critical research challenge, particularly in fields like developmental biology and systems medicine where longitudinal tracking of individual…

机器学习 · 统计学 2025-10-21 Byoungwoo Park , Juho Lee

The dynamic Schr\"odinger bridge problem provides an appealing setting for solving constrained time-series data generation tasks posed as optimal transport problems. It consists of learning non-linear diffusion processes using efficient…

机器学习 · 计算机科学 2023-11-27 Ella Tamir , Martin Trapp , Arno Solin

Diffusion frameworks have achieved comparable performance with previous state-of-the-art image generation models. Researchers are curious about its variants in discriminative tasks because of its powerful noise-to-image denoising pipeline.…

计算机视觉与模式识别 · 计算机科学 2022-12-29 Zhangxuan Gu , Haoxing Chen , Zhuoer Xu , Jun Lan , Changhua Meng , Weiqiang Wang

Recently, a series of papers proposed deep learning-based approaches to sample from target distributions using controlled diffusion processes, being trained only on the unnormalized target densities without access to samples. Building on…

机器学习 · 计算机科学 2024-05-24 Lorenz Richter , Julius Berner

Segmentation of planar regions from a single RGB image is a particularly important task in the perception of complex scenes. To utilize both visual and geometric properties in images, recent approaches often formulate the problem as a joint…

计算机视觉与模式识别 · 计算机科学 2023-09-26 Cao Dinh Duc , Jongwoo Lim

We propose to learn the time-varying stochastic computational resource usage of software as a graph structured Schr\"odinger bridge problem. In general, learning the computational resource usage from data is challenging because resources…

最优化与控制 · 数学 2025-05-21 Georgiy A. Bondar , Robert Gifford , Linh Thi Xuan Phan , Abhishek Halder

The main objective of image segmentation is to divide an image into homogeneous regions for further analysis. This is a significant and crucial task in many applications such as medical imaging. Deep learning (DL) methods have been proposed…

图像与视频处理 · 电气工程与系统科学 2023-06-27 Junying Meng , Weihong Guo , Jun Liu , Mingrui Yang

Generative models have been widely proposed in image recognition to generate more images where the distribution is similar to that of the real ones. It often introduces a discriminator network to differentiate the real data from the…

图像与视频处理 · 电气工程与系统科学 2024-07-31 Tianyang Zhang , Shaoming Zheng , Jun Cheng , Xi Jia , Joseph Bartlett , Xinxing Cheng , Huazhu Fu , Zhaowen Qiu , Jiang Liu , Jinming Duan

The dynamic Schr\"odinger bridge problem seeks a stochastic process that defines a transport between two target probability measures, while optimally satisfying the criteria of being closest, in terms of Kullback-Leibler divergence, to a…

机器学习 · 统计学 2023-12-25 Stefano Peluchetti

The Schr\"odinger Bridge (SB) problem offers a powerful framework for combining optimal transport and diffusion models. A promising recent approach to solve the SB problem is the Iterative Markovian Fitting (IMF) procedure, which alternates…

机器学习 · 计算机科学 2024-11-06 Nikita Gushchin , Daniil Selikhanovych , Sergei Kholkin , Evgeny Burnaev , Alexander Korotin

Cell instance segmentation in fluorescence microscopy images is becoming essential for cancer dynamics and prognosis. Data extracted from cancer dynamics allows to understand and accurately model different metabolic processes such as…

We study Diffusion Schr\"odinger Bridge (DSB) models in the context of dynamical astrophysical systems, specifically tackling observational inverse prediction tasks within Giant Molecular Clouds (GMCs) for star formation. We introduce the…

天体物理仪器与方法 · 物理学 2025-11-13 Ye Zhu , Duo Xu , Zhiwei Deng , Jonathan C. Tan , Olga Russakovsky

We consider the problem of sampling from an unknown distribution for which only a sufficiently large number of training samples are available. In this paper, we build on previous work combining Schr\"odinger bridges and plug & play Langevin…

机器学习 · 统计学 2024-11-19 Georg A. Gottwald , Sebastian Reich

Understanding complex systems by inferring trajectories from sparse sample snapshots is a fundamental challenge in a wide range of domains, e.g., single-cell biology, meteorology, and economics. Despite advancements in Bridge and Flow…

Image-to-image translation is an important and challenging problem in computer vision and image processing. Diffusion models (DM) have shown great potentials for high-quality image synthesis, and have gained competitive performance on the…

计算机视觉与模式识别 · 计算机科学 2023-03-24 Bo Li , Kaitao Xue , Bin Liu , Yu-Kun Lai

Retinal image segmentation plays an important role in automatic disease diagnosis. This task is very challenging because the complex structure and texture information are mixed in a retinal image, and distinguishing the information is…

图像与视频处理 · 电气工程与系统科学 2020-08-04 Shihao Zhang , Huazhu Fu , Yanwu Xu , Yanxia Liu , Mingkui Tan

Referring image segmentation aims to segment an object referred to by natural language expression from an image. However, this task is challenging due to the distinct data properties between text and image, and the randomness introduced by…

计算机视觉与模式识别 · 计算机科学 2023-05-25 Yichen Yan , Xingjian He , Wenxuan Wan , Jing Liu

We present simulation-free score and flow matching ([SF]$^2$M), a simulation-free objective for inferring stochastic dynamics given unpaired samples drawn from arbitrary source and target distributions. Our method generalizes both the…

Panoptic segmentation assigns semantic and instance ID labels to every pixel of an image. As permutations of instance IDs are also valid solutions, the task requires learning of high-dimensional one-to-many mapping. As a result,…

计算机视觉与模式识别 · 计算机科学 2023-10-16 Ting Chen , Lala Li , Saurabh Saxena , Geoffrey Hinton , David J. Fleet

Simulating trajectories of multi-particle systems on complex energy landscapes is a central task in molecular dynamics (MD) and drug discovery, but remains challenging at scale due to computationally expensive and long simulations. Previous…

机器学习 · 计算机科学 2025-11-11 Sophia Tang , Yinuo Zhang , Pranam Chatterjee