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Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

Statistics Theory · Mathematics 2024-07-12 Xicheng Zhang

Denoising diffusion probabilistic models (DDPMs) have achieved impressive performance on various image generation tasks, including image super-resolution. By learning to reverse the process of gradually diffusing the data distribution into…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Kai Zhao , Alex Ling Yu Hung , Kaifeng Pang , Haoxin Zheng , Kyunghyun Sung

Optimal transport (OT) is a central framework for modeling distribution shifts. Because OT compares distributions directly in input space, a well-designed ground metric between observations is essential to ensure that the optimizer does not…

Machine Learning · Computer Science 2026-05-07 Philip Naumann , Jacob Kauffmann , Klaus-Robert Müller , Grégoire Montavon

Machine learning (ML) has become a versatile tool for analyzing anomalous diffusion trajectories, yet most existing pipelines are trained on large collections of simulated data. In contrast, experimental trajectories, such as those from…

Biological Physics · Physics 2025-12-10 Gongyi Wang , Yu Zhang , Zihan Huang

Flow-based Generative Models (FGMs) effectively transform noise into complex data distributions. Incorporating Optimal Transport (OT) to couple noise and data during FGM training has been shown to improve the straightness of flow…

Machine Learning · Computer Science 2025-10-20 Lingkai Kong , Molei Tao , Yang Liu , Bryan Wang , Jinmiao Fu , Chien-Chih Wang , Huidong Liu

We address the convergence problem in learning the Optimal Transport (OT) map, where the OT Map refers to a map from one distribution to another while minimizing the transport cost. Semi-dual Neural OT, a widely used approach for learning…

Machine Learning · Computer Science 2026-02-03 Jaemoo Choi , Jaewoong Choi , Dohyun Kwon

Anomaly detection is a fundamental task in machine learning and data mining, with significant applications in cybersecurity, industrial fault diagnosis, and clinical disease monitoring. Traditional methods, such as statistical modeling and…

Machine Learning · Computer Science 2025-05-09 Yi Chen

Optimal Transport (OT) distances are now routinely used as loss functions in ML tasks. Yet, computing OT distances between arbitrary (i.e. not necessarily discrete) probability distributions remains an open problem. This paper introduces a…

Optimization and Control · Mathematics 2020-07-03 Arthur Mensch , Gabriel Peyré

Unbalanced optimal transport (UOT) extends optimal transport (OT) to take into account mass variations to compare distributions. This is crucial to make OT successful in ML applications, making it robust to data normalization and outliers.…

Optimization and Control · Mathematics 2022-01-04 Thibault Séjourné , François-Xavier Vialard , Gabriel Peyré

In the field of data mining and machine learning, commonly used classification models cannot effectively learn in unbalanced data. In order to balance the data distribution before model training, oversampling methods are often used to…

Machine Learning · Computer Science 2024-03-13 Ming Zheng , Yang Yang , Zhi-Hang Zhao , Shan-Chao Gan , Yang Chen , Si-Kai Ni , Yang Lu

Diffusion Transformer (DiT), an emerging diffusion model for image generation, has demonstrated superior performance but suffers from substantial computational costs. Our investigations reveal that these costs stem from the static inference…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Wangbo Zhao , Yizeng Han , Jiasheng Tang , Kai Wang , Yibing Song , Gao Huang , Fan Wang , Yang You

In online incremental learning, data continuously arrives with substantial distributional shifts, creating a significant challenge because previous samples have limited replay value when learning a new task. Prior research has typically…

Machine Learning · Computer Science 2026-04-17 Quyen Tran , Hai Nguyen , Hoang Phan , Quan Dao , Linh Ngo , Khoat Than , Dinh Phung , Dimitris Metaxas , Trung Le

Recent advances in diffusion models have demonstrated their strong capabilities in generating high-fidelity samples from complex distributions through an iterative refinement process. Despite the empirical success of diffusion models in…

Robotics · Computer Science 2024-07-03 Chaoyi Pan , Zeji Yi , Guanya Shi , Guannan Qu

Discrete diffusion models (DDMs) are a powerful class of generative models for categorical data, but they typically require many function evaluations for a single sample, making inference expensive. Existing acceleration methods either rely…

Machine Learning · Computer Science 2025-12-16 Yansong Gao , Yu Sun

We propose a novel diffusion-based image generation method called the observation-guided diffusion probabilistic model (OGDM), which effectively addresses the tradeoff between quality control and fast sampling. Our approach reestablishes…

Machine Learning · Computer Science 2024-04-02 Junoh Kang , Jinyoung Choi , Sungik Choi , Bohyung Han

In many real-world settings--e.g., single-cell RNA sequencing, mobility sensing, and environmental monitoring--data are observed only as temporally aggregated snapshots collected over finite time windows, often with noisy or uncertain…

Machine Learning · Computer Science 2026-05-25 Keisuke Kawano , Takuro Kutsuna , Naoki Hayashi , Yasushi Esaki , Hidenori Tanaka

Diffusion probabilistic models (DPMs), while effective in generating high-quality samples, often suffer from high computational costs due to their iterative sampling process. To address this, we propose an enhanced ODE-based sampling method…

Machine Learning · Computer Science 2025-04-03 Jinyoung Choi , Junoh Kang , Bohyung Han

Unmanned Aerial Vehicles (UAVs) are increasingly adopted in modern communication networks. However, challenges in decision-making and digital modeling continue to impede their rapid advancement. Reinforcement Learning (RL) algorithms face…

Machine Learning · Computer Science 2025-01-13 Yousef Emami , Hao Zhou , Luis Almeida , Kai Li

Denoising diffusion probabilistic models (DDPMs) have achieved unprecedented success in computer vision. However, they remain underutilized in medical imaging, a field crucial for disease diagnosis and treatment planning. This is primarily…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Hongxu Jiang , Muhammad Imran , Teng Zhang , Yuyin Zhou , Muxuan Liang , Kuang Gong , Wei Shao

Optimal transport (OT) is a powerful geometric tool used to compare and align probability measures following the least effort principle. Despite its widespread use in machine learning (ML), OT problem still bears its computational burden,…

Machine Learning · Computer Science 2023-08-14 Oliver Struckmeier , Ievgen Redko , Anton Mallasto , Karol Arndt , Markus Heinonen , Ville Kyrki