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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…

机器学习 · 计算机科学 2026-03-20 Sophia Tang

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…

Score-based generative models have recently attracted significant attention for their ability to generate high-fidelity data by learning maps from simple Gaussian priors to complex data distributions. A natural generalization of this idea…

统计计算 · 统计学 2025-11-19 Hanwen Huang

Machine learning-based unfolding has enabled unbinned and high-dimensional differential cross section measurements. Two main approaches have emerged in this research area: one based on discriminative models and one based on generative…

高能物理 - 唯象学 · 物理学 2026-03-27 Sascha Diefenbacher , Guan-Horng Liu , Vinicius Mikuni , Benjamin Nachman , Weili Nie

Population dynamics is the study of temporal and spatial variation in the size of populations of organisms and is a major part of population ecology. One of the main difficulties in analyzing population dynamics is that we can only obtain…

机器学习 · 计算机科学 2023-02-28 Takeshi Koshizuka , Issei Sato

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…

机器学习 · 统计学 2022-06-28 Yuyang Shi , Valentin De Bortoli , George Deligiannidis , Arnaud Doucet

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

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

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…

统计计算 · 统计学 2024-05-22 Hanwen Huang

We study the problem of generating synthetic time series that reproduce both marginal distributions and temporal dynamics, a central challenge in financial machine learning. Existing approaches typically fail to jointly model drift and…

机器学习 · 计算机科学 2026-04-10 Alexandre Alouadi , Grégoire Loeper , Célian Marsala , Othmane Mazhar , Huyên Pham

Multi-modal brain MRI provides essential complementary information for clinical diagnosis. However, acquiring all modalities in practice is often constrained by time and cost. To address this, various methods have been proposed to generate…

图像与视频处理 · 电气工程与系统科学 2026-05-07 Hanyeol Yang , Sunggyu Kim , Mi Kyung Kim , Yongseon Yoo , Yu-Mi Kim , Min-Ho Shin , Insung Chung , Sang Baek Koh , Hyeon Chang Kim , Jong-Min Lee

Transporting between arbitrary distributions is a fundamental goal in generative modeling. Recently proposed diffusion bridge models provide a potential solution, but they rely on a joint distribution that is difficult to obtain in…

机器学习 · 计算机科学 2025-03-03 Jun Hyeong Kim , Seonghwan Kim , Seokhyun Moon , Hyeongwoo Kim , Jeheon Woo , Woo Youn Kim

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…

图像与视频处理 · 电气工程与系统科学 2024-07-08 Yuang Wang , Pengfei Jin , Siyeop Yoon , Matthew Tivnan , Quanzheng Li , Li Zhang , Dufan Wu

The Schr\"odinger Bridge (SB) is a powerful framework for solving generative modeling tasks such as unpaired domain translation. Most SB-related research focuses on continuous data space $\mathbb{R}^{D}$ and leaves open theoretical and…

机器学习 · 计算机科学 2025-08-19 Grigoriy Ksenofontov , Alexander Korotin

The mean-field Schr\"odinger bridge (MFSB) problem concerns designing a minimum-effort controller that guides a diffusion process with nonlocal interaction to reach a given distribution from another by a fixed deadline. Unlike the standard…

最优化与控制 · 数学 2026-04-10 Asmaa Eldesoukey , Yongxin Chen , Abhishek Halder

Recent advancements in diffusion bridges for distribution transport problems have heavily relied on matching frameworks, yet existing methods often face a trade-off between scalability and access to optimal pairings during training. Fully…

The Schrodinger Bridge and Bass (SBB) formulation, which jointly controls drift and volatility, is an established extension of the classical Schrodinger Bridge (SB). Building on this framework, we introduce LightSBB-M, an algorithm that…

Diffusion models often yield highly curved trajectories and noisy score targets due to an uninformative, memoryless forward process that induces independent data-noise coupling. We propose Adjoint Schr\"odinger Bridge Matching (ASBM), a…

计算机视觉与模式识别 · 计算机科学 2026-02-18 Jeongwoo Shin , Jinhwan Sul , Joonseok Lee , Jaewong Choi , Jaemoo Choi

Mass transport problems arise in many areas of machine learning whereby one wants to compute a map transporting one distribution to another. Generative modeling techniques like Generative Adversarial Networks (GANs) and Denoising Diffusion…

机器学习 · 计算机科学 2024-09-17 Valentin De Bortoli , Iryna Korshunova , Andriy Mnih , Arnaud Doucet

Visual navigation is a core challenge in Embodied AI, requiring autonomous agents to translate high-dimensional sensory observations into continuous, long-horizon action trajectories. While generative policies based on diffusion models and…

机器人学 · 计算机科学 2026-05-28 Wuyang Luan , Junhui Li , Weiguang Zhao , Wenjian Zhang , Tieru Wu , Rui Ma