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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.…

最优化与控制 · 数学 2022-01-04 Thibault Séjourné , François-Xavier Vialard , Gabriel Peyré

We address the problem of learning on sets of features, motivated by the need of performing pooling operations in long biological sequences of varying sizes, with long-range dependencies, and possibly few labeled data. To address this…

机器学习 · 计算机科学 2021-02-11 Grégoire Mialon , Dexiong Chen , Alexandre d'Aspremont , Julien Mairal

Discrete diffusion models are a new class of text generators that offer advantages such as bidirectional context use, parallelizable generation, and flexible prompting compared to autoregressive models. However, a critical limitation of…

机器学习 · 计算机科学 2025-10-23 Andrew Zhang , Anushka Sivakumar , Chiawei Tang , Chris Thomas

We present a neural framework for learning conditional optimal transport (OT) maps between probability distributions. Our approach introduces a conditioning mechanism capable of processing both categorical and continuous conditioning…

机器学习 · 计算机科学 2026-04-02 Carlos Rodriguez-Pardo , Leonardo Chiani , Emanuele Borgonovo , Massimo Tavoni

Combining different models is a widely used paradigm in machine learning applications. While the most common approach is to form an ensemble of models and average their individual predictions, this approach is often rendered infeasible by…

机器学习 · 计算机科学 2023-05-17 Sidak Pal Singh , Martin Jaggi

Aggregating data from multiple sources can be formalized as an Optimal Transport (OT) barycenter problem, which seeks to compute the average of probability distributions with respect to OT discrepancies. However, in real-world scenarios,…

Histopathology is critical for the diagnosis of many diseases, including cancer. These protocols typically require pathologists to manually evaluate slides under a microscope, which is time-consuming and subjective, leading to interest in…

计算机视觉与模式识别 · 计算机科学 2023-03-07 Kianoush Falahkheirkhah , Alex Lu , David Alvarez-Melis , Grace Huynh

Single-cell genomics has significantly advanced our understanding of cellular behavior, catalyzing innovations in treatments and precision medicine. However, single-cell sequencing technologies are inherently destructive and can only…

机器学习 · 统计学 2024-11-08 Dominik Klein , Théo Uscidda , Fabian Theis , Marco Cuturi

Point cloud registration plays a crucial role in various fields, including robotics, computer graphics, and medical imaging. This process involves determining spatial relationships between different sets of points, typically within a 3D…

计算机视觉与模式识别 · 计算机科学 2023-09-28 Yikun Bai , Huy Tran , Steven B. Damelin , Soheil Kolouri

Limited-angle computed tomography (LACT) offers improved temporal resolution and reduced radiation dose for cardiac imaging, but suffers from severe artifacts due to truncated projections. To address the ill-posedness of LACT…

计算机视觉与模式识别 · 计算机科学 2026-03-30 Yu Shi , Shuyi Fan , Changsheng Fang , Shuo Han , Haodong Li , Li Zhou , Bahareh Morovati , Dayang Wang , Hengyong Yu

LiDAR point cloud semantic segmentation plays a crucial role in autonomous driving. In recent years, semi-supervised methods have gained popularity due to their significant reduction in annotation labor and time costs. Current…

计算机视觉与模式识别 · 计算机科学 2025-03-25 R. D. Lin , Pengcheng Weng , Yinqiao Wang , Han Ding , Jinsong Han , Fei Wang

In this paper, we introduce a neural network-based method to address the high-dimensional dynamic unbalanced optimal transport (UOT) problem. Dynamic UOT focuses on the optimal transportation between two densities with unequal total mass,…

最优化与控制 · 数学 2024-09-23 Wei Wan , Jiangong Pan , Yuejin Zhang , Chenglong Bao , Zuoqiang Shi

The design of artificial neural networks (ANNs) is inspired by the structure of the human brain, and in turn, ANNs offer a potential means to interpret and understand brain signals. Existing methods primarily align brain signals with…

神经元与认知 · 定量生物学 2025-10-08 Yang Xiao , Wang Lu , Jie Ji , Ruimeng Ye , Gen Li , Xiaolong Ma , Bo Hui

Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited because of its computational burden. We propose a new class of…

最优化与控制 · 数学 2016-05-30 Genevay Aude , Marco Cuturi , Gabriel Peyré , Francis Bach

The scarcity of high-quality multimodal biomedical data limits the ability to effectively fine-tune pretrained Large Language Models (LLMs) for specialized biomedical tasks. To address this challenge, we introduce MINT (Multimodal…

定量方法 · 定量生物学 2026-02-18 Zhanliang Wang , Da Wu , Quan Nguyen , Zhuoran Xu , Kai Wang

Combining multiple object detection datasets offers a path to improved generalisation but is hindered by inconsistencies in class semantics and bounding box annotations. Some methods to address this assume shared label taxonomies and…

计算机视觉与模式识别 · 计算机科学 2025-06-09 Mikhail Kennerley , Angelica Aviles-Rivero , Carola-Bibiane Schönlieb , Robby T. Tan

An efficient 3D point cloud learning architecture, named EfficientLO-Net, for LiDAR odometry is first proposed in this paper. In this architecture, the projection-aware representation of the 3D point cloud is proposed to organize the raw 3D…

计算机视觉与模式识别 · 计算机科学 2022-09-16 Guangming Wang , Xinrui Wu , Shuyang Jiang , Zhe Liu , Hesheng Wang

Improved understanding of charge-transport in single molecules is essential for harnessing the potential of molecules e.g. as circuit components at the ultimate size limit. However, interpretation and analysis of the large, stochastic…

介观与纳米尺度物理 · 物理学 2020-08-06 Nathan D. Bamberger , Jeffrey A. Ivie , Keshaba N. Parida , Dominic V. McGrath , Oliver L. A. Monti

Optimal Transport (OT) naturally arises in many machine learning applications, yet the heavy computational burden limits its wide-spread uses. To address the scalability issue, we propose an implicit generative learning-based framework…

机器学习 · 计算机科学 2019-06-26 Yujia Xie , Minshuo Chen , Haoming Jiang , Tuo Zhao , Hongyuan Zha

End-to-end trained per-point embeddings are an essential ingredient of any state-of-the-art 3D point cloud processing such as detection or alignment. Methods like PointNet, or the more recent point cloud transformer -- and its variants --…

计算机视觉与模式识别 · 计算机科学 2023-09-04 Jianqiao Zheng , Xueqian Li , Sameera Ramasinghe , Simon Lucey