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Optimal Transport is a theory that allows to define geometrical notions of distance between probability distributions and to find correspondences, relationships, between sets of points. Many machine learning applications are derived from…

Machine Learning · Statistics 2020-11-10 Titouan Vayer

OpenStreetMap (OSM) is one of the richest openly available sources of volunteered geographic information. Although OSM includes various geographical entities, their descriptions are highly heterogeneous, incomplete, and do not follow any…

Machine Learning · Computer Science 2021-07-29 Alishiba Dsouza , Nicolas Tempelmeier , Elena Demidova

Graph-structured combinatorial challenges are inherently difficult due to their nonlinear and intricate nature, often rendering traditional computational methods ineffective or expensive. However, these challenges can be more naturally…

Artificial Intelligence · Computer Science 2025-01-22 Jie Zhao , Kang Hao Cheong , Witold Pedrycz

Graph-based models have emerged as a powerful paradigm for modeling multimodal urban data and learning region representations for various downstream tasks. However, existing approaches face two major limitations. (1) They typically employ…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yaya Zhao , Kaiqi Zhao , Zixuan Tang , Zhiyuan Liu , Xiaoling Lu , Yalei Du

The modeling of phenomenological structure is a crucial aspect in inverse imaging problems. One emerging modeling tool in computational imaging is the optimal transport framework. Its ability to model geometric displacements across an…

Image and Video Processing · Electrical Eng. & Systems 2020-05-12 John Lee , Nicholas P. Bertrand , Christopher J. Rozell

In this paper, we introduce a variant of optimal transport adapted to the causal structure given by an underlying directed graph $G$. Different graph structures lead to different specifications of the optimal transport problem. For…

Statistics Theory · Mathematics 2024-07-08 Patrick Cheridito , Stephan Eckstein

Benefiting from the inductive biases learned from large-scale datasets, open-vocabulary semantic segmentation (OVSS) leverages the power of vision-language models, such as CLIP, to achieve remarkable progress without requiring task-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Qiming Huang , Hao Ai , Jianbo Jiao

Knowledge graphs (KGs) play a key role in promoting various multimedia and AI applications. However, with the explosive growth of multi-modal information, traditional knowledge graph completion (KGC) models cannot be directly applied. This…

Multimedia · Computer Science 2025-05-29 Linyu Li , Zhi Jin , Yichi Zhang , Dongming Jin , Chengfeng Dou , Yuanpeng He , Xuan Zhang , Haiyan Zhao

The growing adoption of Graph Neural Networks (GNNs) in high-stakes domains like healthcare and finance demands reliable explanations of their decision-making processes. While inherently interpretable GNN architectures like Graph…

Machine Learning · Computer Science 2025-05-27 Rishabh Bhattacharya , Hari Shankar , Vaishnavi Shivkumar , Ponnurangam Kumaraguru

Multimodal-attributed graphs (MMAGs) provide a unified framework for modeling complex relational data by integrating heterogeneous modalities with graph structures. While centralized learning has shown promising performance, MMAGs in…

Machine Learning · Computer Science 2026-02-02 Xunkai Li , Yuming Ai , Yinlin Zhu , Haodong Lu , Yi Zhang , Guohao Fu , Bowen Fan , Qiangqiang Dai , Rong-Hua Li , Guoren Wang

Unsupervised graph alignment aims to find the node correspondence across different graphs without any anchor node pairs. Despite the recent efforts utilizing deep learning-based techniques, such as the embedding and optimal transport…

Machine Learning · Computer Science 2026-03-10 Songyang Chen , Youfang Lin , Yu Liu , Shuai Zheng , Lei Zou

Optimal transport (OT) compares probability distributions by computing a meaningful alignment between their samples. CO-optimal transport (COOT) takes this comparison further by inferring an alignment between features as well. While this…

The graph matching problem seeks to find an alignment between the nodes of two graphs that minimizes the number of adjacency disagreements. Solving the graph matching is increasingly important due to it's applications in operations…

Machine Learning · Statistics 2021-11-11 Ali Saad-Eldin , Benjamin D. Pedigo , Carey E. Priebe , Joshua T. Vogelstein

This work considers the problem of computing distances between structured objects such as undirected graphs, seen as probability distributions in a specific metric space. We consider a new transportation distance (i.e. that minimizes a…

Machine Learning · Statistics 2019-05-14 Titouan Vayer , Laetitia Chapel , Rémi Flamary , Romain Tavenard , Nicolas Courty

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

Optimization and Control · Mathematics 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

Brain graph synthesis marked a new era for predicting a target brain graph from a source one without incurring the high acquisition cost and processing time of neuroimaging data. However, existing multi-modal graph synthesis frameworks have…

Neurons and Cognition · Quantitative Biology 2021-07-15 Islem Mhiri , Ahmed Nebli , Mohamed Ali Mahjoub , Islem Rekik

Accurate prediction of driving scenes is essential for road safety and autonomous driving. Occupancy Grid Maps (OGMs) are commonly employed for scene prediction due to their structured spatial representation, flexibility across sensor…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Rabbia Asghar , Wenqian Liu , Lukas Rummelhard , Anne Spalanzani , Christian Laugier

Existing multimodal tasks mostly target at the complete input modality setting, i.e., each modality is either complete or completely missing in both training and test sets. However, the randomly missing situations have still been…

Computation and Language · Computer Science 2022-10-25 Wei Han , Hui Chen , Min-Yen Kan , Soujanya Poria

Recent advances in multimodal learning have largely relied on pairwise contrastive objectives to align different modalities, such as text, video, and audio, in a shared embedding space. While effective in bi-modal setups, these approaches…

Artificial Intelligence · Computer Science 2025-08-19 Haochen You , Baojing Liu

GRAFT is a structured multimodal benchmark designed to probe how well LLMs handle instruction following, visual reasoning, and tasks requiring tight visual textual alignment. The dataset is built around programmatically generated charts and…

Artificial Intelligence · Computer Science 2025-12-03 Abhigya Verma , Sriram Puttagunta , Seganrasan Subramanian , Sravan Ramachandran