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Optimal Transport is a popular distance metric for measuring similarity between distributions. Exact algorithms for computing Optimal Transport can be slow, which has motivated the development of approximate numerical solvers (e.g. Sinkhorn…

Machine Learning · Computer Science 2022-03-09 Nathaniel Lahn , Sharath Raghvendra , Kaiyi Zhang

We consider statistical learning problems in which data are observed as a set of probability measures. Optimal transport (OT) is a popular tool to compare and manipulate such objects, but its computational cost becomes prohibitive when the…

Machine Learning · Statistics 2026-03-24 Erell Gachon , Elsa Cazelles , Jérémie Bigot

Optimal Transport (OT) problem investigates a transport map that bridges two distributions while minimizing a given cost function. In this regard, OT between tractable prior distribution and data has been utilized for generative modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

Labeling datasets is a noteworthy challenge in machine learning, both in terms of cost and time. This research, however, leverages an efficient answer. By exploring label propagation in semi-supervised learning, we can significantly reduce…

Machine Learning · Computer Science 2024-10-16 Minoo Jafarlou , Mario M. Kubek

Distributional data have become increasingly prominent in modern signal processing, highlighting the necessity of computing optimal transport (OT) maps across multiple probability distributions. Nevertheless, recent studies on neural OT…

Machine Learning · Computer Science 2025-04-25 Mingchen Jiang , Peng Xu , Xichen Ye , Xiaohui Chen , Yun Yang , Yifan Chen

The success of the model predictive path integral control (MPPI) approach depends on the appropriate selection of the input distribution used for sampling. However, it can be challenging to select inputs that satisfy output constraints in…

Systems and Control · Electrical Eng. & Systems 2024-08-16 Leon , Yan , Santosh Devasia

Semi-supervised learning has received increasingly attention in statistics and machine learning. In semi-supervised learning settings, a labeled data set with both outcomes and covariates and an unlabeled data set with covariates only are…

Machine Learning · Statistics 2024-02-26 Zhuojun Quan , Yuanyuan Lin , Kani Chen , Wen Yu

Natural agents can effectively learn from multiple data sources that differ in size, quality, and types of measurements. We study this heterogeneity in the context of offline reinforcement learning (RL) by introducing a new, practically…

Machine Learning · Computer Science 2023-06-23 Qinqing Zheng , Mikael Henaff , Brandon Amos , Aditya Grover

Neural network-based optimal transport (OT) is a recent and fruitful direction in the generative modeling community. It finds its applications in various fields such as domain translation, image super-resolution, computational biology and…

Machine Learning · Computer Science 2026-02-25 Roman Tarasov , Petr Mokrov , Milena Gazdieva , Evgeny Burnaev , Alexander Korotin

Consider semi-supervised learning for classification, where both labeled and unlabeled data are available for training. The goal is to exploit both datasets to achieve higher prediction accuracy than just using labeled data alone. We…

Machine Learning · Statistics 2019-06-20 Xinwei Zhang , Zhiqiang Tan

In this paper, we consider the problem of autonomous driving using imitation learning in a semi-supervised manner. In particular, both labeled and unlabeled demonstrations are leveraged during training by estimating the quality of each…

Robotics · Computer Science 2021-09-24 Gunmin Lee , Wooseok Oh , Seungyoun Shin , Dohyeong Kim , Jeongwoo Oh , Jaeyeon Jeong , Sungjoon Choi , Songhwai Oh

We propose a novel approach based on optimal transport (OT) for tackling the problem of highly mixed data in blind hyperspectral unmixing. Our method constrains the distribution of the estimated abundance matrix to resemble a targeted…

Image and Video Processing · Electrical Eng. & Systems 2025-09-26 D. Doutsas , B. Figliuzzi

This work proposes a novel method for semi-supervised learning from partially labeled massive network-structured datasets, i.e., big data over networks. We model the underlying hypothesis, which relates data points to labels, as a graph…

Machine Learning · Computer Science 2017-05-16 Alexander Jung , Alfred O. Hero , Alexandru Mara , Saeed Jahromi

Sampling-based model predictive control methods like MPPI and CEM are essential for real-time control of nonlinear robotic systems, particularly where discontinuous dynamics preclude gradient-based optimization. However, these methods…

Robotics · Computer Science 2026-05-05 Vincent Pacelli , Akash Ratheesh , Evangelos A. Theodorou

Despite the recent advances in multi-task learning of dense prediction problems, most methods rely on expensive labelled datasets. In this paper, we present a label efficient approach and look at jointly learning of multiple dense…

Computer Vision and Pattern Recognition · Computer Science 2022-05-05 Wei-Hong Li , Xialei Liu , Hakan Bilen

We propose a meta-learning method for semi-supervised learning that learns from multiple tasks with heterogeneous attribute spaces. The existing semi-supervised meta-learning methods assume that all tasks share the same attribute space,…

Machine Learning · Computer Science 2023-11-10 Tomoharu Iwata , Atsutoshi Kumagai

This paper presents a novel methodology for improving the performance of machine learning based space traffic management tasks through the use of a pre-trained orbit model. Taking inspiration from BERT-like self-supervised language models…

Extreme multi-label text classification (XMTC) is the task of finding the most relevant subset labels from an extremely large-scale label collection. Recently, some deep learning models have achieved state-of-the-art results in XMTC tasks.…

Computation and Language · Computer Science 2022-11-29 Jie Cao , Yin Zhang

Open-set semi-supervised learning (open-set SSL) investigates a challenging but practical scenario where out-of-distribution (OOD) samples are contained in the unlabeled data. While the mainstream technique seeks to completely filter out…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Junkai Huang , Chaowei Fang , Weikai Chen , Zhenhua Chai , Xiaolin Wei , Pengxu Wei , Liang Lin , Guanbin Li

Optimal Transport (OT) is a mathematical framework that first emerged in the eighteenth century and has led to a plethora of methods for answering many theoretical and applied questions. The last decade has been a witness to the remarkable…

Machine Learning · Computer Science 2024-03-25 Abdelwahed Khamis , Russell Tsuchida , Mohamed Tarek , Vivien Rolland , Lars Petersson