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Discriminating between distributions is an important problem in a number of scientific fields. This motivated the introduction of Linear Optimal Transportation (LOT), which embeds the space of distributions into an $L^2$-space. The…

Machine Learning · Statistics 2021-05-27 Caroline Moosmüller , Alexander Cloninger

Structured data, such as graphs, is vital in machine learning due to its capacity to capture complex relationships and interactions. In recent years, the Fused Gromov-Wasserstein (FGW) distance has attracted growing interest because it…

Machine Learning · Computer Science 2025-09-29 Yikun Bai , Shuang Wang , Huy Tran , Hengrong Du , Juexin Wang , Soheil Kolouri

Recent advances in large-scale optimal transport have greatly extended its application scenarios in machine learning. However, existing methods either not explicitly learn the transport map or do not support general cost function. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Guansong Lu , Zhiming Zhou , Jian Shen , Cheng Chen , Weinan Zhang , Yong Yu

Heterogeneous Graph Neural Networks (HGNNs), have demonstrated excellent capabilities in processing heterogeneous information networks. Self-supervised learning on heterogeneous graphs, especially contrastive self-supervised strategy, shows…

Machine Learning · Computer Science 2025-06-09 Yanbei Liu , Chongxu Wang , Zhitao Xiao , Lei Geng , Yanwei Pang , Xiao Wang

This paper presents a Wasserstein attraction approach for solving dynamic mass transport problems over networks. In the transport problem over networks, we start with a distribution over the set of nodes that needs to be "transported" to a…

Optimization and Control · Mathematics 2022-04-28 Ferran Arqué , César A. Uribe , Carlos Ocampo-Martinez

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…

Neurons and Cognition · Quantitative Biology 2025-10-08 Yang Xiao , Wang Lu , Jie Ji , Ruimeng Ye , Gen Li , Xiaolong Ma , Bo Hui

We propose Mirror Descent Optimal Transport (MDOT), a novel method for solving discrete optimal transport (OT) problems with high precision, by unifying temperature annealing in entropic-regularized OT (EOT) with mirror descent techniques.…

Machine Learning · Computer Science 2025-06-04 Mete Kemertas , Allan D. Jepson , Amir-massoud Farahmand

Capsule networks (CapsNets) aim to parse images into a hierarchy of objects, parts, and their relations using a two-step process involving part-whole transformation and hierarchical component routing. However, this hierarchical relationship…

Computer Vision and Pattern Recognition · Computer Science 2023-10-25 Pourya Shamsolmoali , Masoumeh Zareapoor , Swagatam Das , Eric Granger , Salvador Garcia

Optimal transport is a framework that facilitates the most efficient allocation of a limited amount of resources. However, the most efficient allocation scheme does not necessarily preserve the most fairness. In this paper, we establish a…

Optimization and Control · Mathematics 2021-04-01 Jason Hughes , Juntao Chen

It has become increasingly important to optimize backpropagation to reduce memory usage and computational overhead. Achieving this goal is highly challenging, as multiple objectives must be considered jointly while maintaining training…

Machine Learning · Computer Science 2025-03-28 Seonggon Kim , Juncheol Shin , Seung-taek Woo , Eunhyeok Park

Higher-order proximity (HOP) is fundamental for most network embedding methods due to its significant effects on the quality of node embedding and performance on downstream network analysis tasks. Most existing HOP definitions are based on…

Social and Information Networks · Computer Science 2020-12-29 Yan Ge , Jun Ma , Li Zhang , Haiping Lu

Smart mobility management would be an important prerequisite for future fog computing systems. In this research, we propose a learning-based handover optimization for the Internet of Vehicles that would assist the smooth transition of…

Networking and Internet Architecture · Computer Science 2019-01-01 Salman Memon , Muthucumaru Maheswaran

This paper considers a multi-UAV network with a ground station (GS) that uses multi-hop relaying structure for data transmission in a power-efficient manner. The objective is to investigate the best possible multi-hop routing structure for…

Signal Processing · Electrical Eng. & Systems 2022-06-30 Payal Mittal , Santosh Shah , Anirudh Agarwal

Nodes in contemporary radio networks often have multiple interfaces available for communication: WiFi, cellular, LoRa, Zigbee, etc. This motivates understanding both link and network configuration when multiple communication modalities with…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Amna Gillani , Beatriz Lorenzo , Majid Ghaderi , Fikadu Dagefu , Dennis Goeckel

Accurate traffic forecasting is vital to intelligent transportation systems, which are widely adopted to solve urban traffic issues. Existing traffic forecasting studies focus on modeling spatial-temporal dynamics in traffic data, among…

Machine Learning · Computer Science 2023-06-19 Yirong Chen , Ziyue Li , Wanli Ouyang , Michael Lepech

Few-Shot Remote Sensing Scene Classification (FS-RSSC) presents the challenge of classifying remote sensing images with limited labeled samples. Existing methods typically emphasize single-modal feature learning, neglecting the potential…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Zhong Ji , Ci Liu , Jingren Liu , Chen Tang , Yanwei Pang , Xuelong Li

In this work, we present a novel traffic prediction and fast uplink framework for IoT networks controlled by binary Markovian events. First, we apply the forward algorithm with hidden Markov models (HMM) in order to schedule the available…

Networking and Internet Architecture · Computer Science 2022-09-14 Eslam Eldeeb , Mohammad Shehab , Anders E. Kalor , Petar Popovski , Hirley Alves

This paper considers the problem of distributed multi-agent learning, where the global aim is to minimize a sum of local objective (empirical loss) functions through local optimization and information exchange between neighbouring nodes. We…

Optimization and Control · Mathematics 2023-07-20 Alessio Maritan , Ganesh Sharma , Luca Schenato , Subhrakanti Dey

This paper presents a multiscale approach to efficiently compute approximate optimal transport plans between point sets. It is particularly well-suited for point sets that are in high-dimensions, but are close to being intrinsically…

Machine Learning · Computer Science 2021-04-13 Samuel Gerber , Mauro Maggioni

The matching principles behind optimal transport (OT) play an increasingly important role in machine learning, a trend which can be observed when OT is used to disambiguate datasets in applications (e.g. single-cell genomics) or used to…

Machine Learning · Statistics 2022-09-16 Meyer Scetbon , Marco Cuturi