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High-quality power flow datasets are essential for training machine learning models in power systems. However, security and privacy concerns restrict access to real-world data, making statistically accurate and physically consistent…

Machine Learning · Computer Science 2025-08-26 Milad Hoseinpour , Vladimir Dvorkin

For a fixed flow-based generative model under a small inference budget, sample quality can depend strongly on where the sampler spends its few function evaluations. Flow matching and Schr\"odinger bridges define probability paths, yet their…

Machine Learning · Computer Science 2026-05-18 Bruno Trentini , Dejan Stancevic , Michael M. Bronstein , Alexander Tong , Luca Ambrogioni

Reconstructing dynamics using samples from sparsely time-resolved snapshots is an important problem in both natural sciences and machine learning. Here, we introduce a new deep learning approach for solving regularized unbalanced optimal…

Machine Learning · Computer Science 2025-05-09 Zhenyi Zhang , Tiejun Li , Peijie Zhou

The latest advances in artificial intelligence (AI) present many unprecedented opportunities to achieve much improved bandwidth saving in communications. Unlike conventional communication systems focusing on packet transport, rich datasets…

Machine Learning · Computer Science 2023-12-07 Achintha Wijesinghe , Songyang Zhang , Suchinthaka Wanninayaka , Weiwei Wang , Zhi Ding

Diffusion bridges (DBs) are a class of diffusion models that enable faster sampling by interpolating between two paired image distributions. Training traditional DBs for image reconstruction requires high-quality reference images, which…

Image and Video Processing · Electrical Eng. & Systems 2025-01-08 Harry Gao , Weijie Gan , Yuyang Hu , Hongyu An , Ulugbek S. Kamilov

In recent years, denoising diffusion models have become a crucial area of research due to their abundance in the rapidly expanding field of generative AI. While recent statistical advances have delivered explanations for the generation…

Statistics Theory · Mathematics 2026-03-04 Asbjørn Holk , Claudia Strauch , Lukas Trottner

Diffusion models are central to generative modeling and have been adapted to graphs by diffusing adjacency matrix representations. The challenge of having up to $n!$ such representations for graphs with $n$ nodes is only partially mitigated…

Diffusion models have emerged as a powerful framework for generative tasks in deep learning. They decompose generative modeling into two computational primitives: deterministic neural-network evaluation and stochastic sampling. Current…

Machine Learning · Computer Science 2026-03-31 Nihal Sanjay Singh , Mazdak Mohseni-Rajaee , Shaila Niazi , Kerem Y. Camsari

Recently, the diffusion model has emerged as a powerful generative technique for robotic policy learning, capable of modeling multi-mode action distributions. Leveraging its capability for end-to-end autonomous driving is a promising…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Bencheng Liao , Shaoyu Chen , Haoran Yin , Bo Jiang , Cheng Wang , Sixu Yan , Xinbang Zhang , Xiangyu Li , Ying Zhang , Qian Zhang , Xinggang Wang

Real-world data generation often involves complex inter-dependencies among instances, violating the IID-data hypothesis of standard learning paradigms and posing a challenge for uncovering the geometric structures for learning desired…

Machine Learning · Computer Science 2023-05-30 Qitian Wu , Chenxiao Yang , Wentao Zhao , Yixuan He , David Wipf , Junchi Yan

Generative models capture the true distribution of data, yielding semantically rich representations. Denoising diffusion models (DDMs) exhibit superior generative capabilities, though efficient representation learning for them are lacking.…

Machine Learning · Computer Science 2025-05-12 Limai Jiang , Yunpeng Cai

Diffusion models have achieved state-of-the-art performance in generative modeling, yet their sampling procedures remain vulnerable to hallucinations-often stemming from inaccuracies in score approximation. In this work, we reinterpret…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Yiqi Tian , Pengfei Jin , Mingze Yuan , Na Li , Bo Zeng , Quanzheng Li

Recent advances in diffusion models have opened new avenues for research into embodied AI agents and robotics. Despite significant achievements in complex robotic locomotion and skills, mobile manipulation-a capability that requires the…

Robotics · Computer Science 2025-04-03 Sixu Yan , Zeyu Zhang , Muzhi Han , Zaijin Wang , Qi Xie , Zhitian Li , Zhehan Li , Hangxin Liu , Xinggang Wang , Song-Chun Zhu

We study a semimartingale optimal transport problem interpolating between the Schr\"odinger bridge and the stretched Brownian motion associated with the Bass solution of the Skorokhod embedding problem. The cost combines an entropy term on…

Probability · Mathematics 2026-03-31 Pierre Henry-Labordere , Grégoire Loeper , Othmane Mazhar , Huyên Pham , Nizar Touzi

Computational methods for learning to sample from the Boltzmann distribution -- where the target distribution is known only up to an unnormalized energy function -- have advanced significantly recently. Due to the lack of explicit target…

Machine Learning · Statistics 2025-11-26 Guan-Horng Liu , Jaemoo Choi , Yongxin Chen , Benjamin Kurt Miller , Ricky T. Q. Chen

This paper presents DDTracking, a novel deep generative framework for diffusion MRI tractography that formulates streamline propagation as a conditional denoising diffusion process. In DDTracking, we introduce a dual-pathway encoding…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Yijie Li , Wei Zhang , Xi Zhu , Ye Wu , Yogesh Rathi , Lauren J. O'Donnell , Fan Zhang

Generative AI has redefined artificial intelligence, enabling the creation of innovative content and customized solutions that drive business practices into a new era of efficiency and creativity. In this paper, we focus on diffusion…

Machine Learning · Computer Science 2024-03-21 Zihao Li , Hui Yuan , Kaixuan Huang , Chengzhuo Ni , Yinyu Ye , Minshuo Chen , Mengdi Wang

Trajectory data is essential for various applications as it records the movement of vehicles. However, publicly available trajectory datasets remain limited in scale due to privacy concerns, which hinders the development of trajectory data…

Machine Learning · Computer Science 2024-09-12 Tonglong Wei , Youfang Lin , Shengnan Guo , Yan Lin , Yiheng Huang , Chenyang Xiang , Yuqing Bai , Huaiyu Wan

Disentangled representation learning (DRL) aims to break down observed data into core intrinsic factors for a profound understanding of the data. In real-world scenarios, manually defining and labeling these factors are non-trivial, making…

Machine Learning · Computer Science 2024-11-01 Youngjun Jun , Jiwoo Park , Kyobin Choo , Tae Eun Choi , Seong Jae Hwang

All-in-One Image Restoration (AiOIR) faces the fundamental challenge in reconciling conflicting optimization objectives across heterogeneous degradations. Existing methods are often constrained by coarse-grained control mechanisms or fixed…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Luwei Tu , Jiawei Wu , Xing Luo , Zhi Jin