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We propose a model for online graph problems where algorithms are given access to an oracle that predicts (e.g., based on modeling assumptions or on past data) the degrees of nodes in the graph. Within this model, we study the classic…

Data Structures and Algorithms · Computer Science 2022-11-16 Anders Aamand , Justin Y. Chen , Piotr Indyk

Graph neural networks (GNNs) are widely used in domains like social networks and biological systems. However, the locality assumption of GNNs, which limits information exchange to neighboring nodes, hampers their ability to capture…

Machine Learning · Computer Science 2023-07-04 Tingting Dan , Jiaqi Ding , Ziquan Wei , Shahar Z Kovalsky , Minjeong Kim , Won Hwa Kim , Guorong Wu

Link prediction is a fundamental problem in graph data. In its most realistic setting, the problem consists of predicting missing or future links between random pairs of nodes from the set of disconnected pairs. Graph Neural Networks (GNNs)…

Machine Learning · Computer Science 2024-12-03 João Mattos , Zexi Huang , Mert Kosan , Ambuj Singh , Arlei Silva

We propose a novel approach to learn relational policies for classical planning based on learning to rank actions. We introduce a new graph representation that explicitly captures action information and propose a Graph Neural Network (GNN)…

Machine Learning · Computer Science 2025-10-27 Rajesh Mangannavar , Stefan Lee , Alan Fern , Prasad Tadepalli

We consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. In this problem, we are given an undirected graph. Each edge is assigned a known, independent probability of existence and…

Data Structures and Algorithms · Computer Science 2020-10-19 Marek Adamczyk , Brian Brubach , Fabrizio Grandoni , Karthik A. Sankararaman , Aravind Srinivasan , Pan Xu

Graph Neural Networks (GNN) are a promising technique for bridging differential programming and combinatorial domains. GNNs employ trainable modules which can be assembled in different configurations that reflect the relational structure of…

Machine Learning · Computer Science 2018-11-19 Marcelo O. R. Prates , Pedro H. C. Avelar , Henrique Lemos , Luis Lamb , Moshe Vardi

We study the greedy-based online algorithm for edge-weighted matching with (one-sided) vertex arrivals in bipartite graphs, and edge arrivals in general graphs. This algorithm was first studied more than a decade ago by Korula and P\'al for…

Data Structures and Algorithms · Computer Science 2021-12-28 Haim Kaplan , David Naori , Danny Raz

Graph Neural Network (GNN) has achieved state-of-the-art performance in various high-stake prediction tasks, but multiple layers of aggregations on graphs with irregular structures make GNN a less interpretable model. Prior methods use…

Machine Learning · Computer Science 2021-11-30 Yifei Liu , Chao Chen , Yazheng Liu , Xi Zhang , Sihong Xie

An increasing number of machine learning tasks require dealing with large graph datasets, which capture rich and complex relationship among potentially billions of elements. Graph Neural Network (GNN) becomes an effective way to address the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-26 Rong Zhu , Kun Zhao , Hongxia Yang , Wei Lin , Chang Zhou , Baole Ai , Yong Li , Jingren Zhou

Bipartite networks serve as highly suitable models to represent systems involving interactions between two distinct types of entities, such as online dating platforms, job search services, or ecommerce websites. These models can be…

Social and Information Networks · Computer Science 2025-02-11 Şükrü Demir İnan Özer , Günce Keziban Orman , Vincent Labatut

In recent years, there has been notable interest in investigating combinatorial optimization (CO) problems by neural-based framework. An emerging strategy to tackle these challenging problems involves the adoption of graph neural networks…

Machine Learning · Computer Science 2024-06-11 Yang Liu , Chuan Zhou , Peng Zhang , Shirui Pan , Zhao Li , Hongyang Chen

Graph Neural Networks (GNNs) are routinely used in molecular physics, social sciences, and economics to model many-body interactions in graph-like systems. However, GNNs are inherently local and can suffer from information flow bottlenecks.…

Computational Physics · Physics 2025-02-21 Alessandro Caruso , Jacopo Venturin , Lorenzo Giambagli , Edoardo Rolando , Frank Noé , Cecilia Clementi

Graph Neural Networks (GNNs) have emerged as the de facto standard for modeling graph data, with attention mechanisms and transformers significantly enhancing their performance on graph-based tasks. Despite these advancements, the…

Machine Learning · Computer Science 2025-04-07 Nikhil Shivakumar Nayak

We consider the problem of approximating a maximum weighted matching, when the edges of an underlying weighted graph $G(V,E)$ are revealed in a streaming fashion. We analyze a variant of the previously best-known…

Data Structures and Algorithms · Computer Science 2018-05-01 Elena Grigorescu , Morteza Monemizadeh , Samson Zhou

Graph-based approaches are empirically shown to be very successful for the nearest neighbor search (NNS). However, there has been very little research on their theoretical guarantees. We fill this gap and rigorously analyze the performance…

Data Structures and Algorithms · Computer Science 2020-08-21 Liudmila Prokhorenkova , Aleksandr Shekhovtsov

We introduce a `concrete complexity' model for studying algorithms for matching in bipartite graphs. The model is based on the "demand query" model used for combinatorial auctions. Most (but not all) known algorithms for bipartite matching…

Computational Complexity · Computer Science 2019-06-12 Noam Nisan

Link prediction is a classical problem in graph analysis with many practical applications. For directed graphs, recently developed deep learning approaches typically analyze node similarities through contrastive learning and aggregate…

Machine Learning · Computer Science 2025-06-26 Yuyang Zhang , Xu Shen , Yu Xie , Ka-Chun Wong , Weidun Xie , Chengbin Peng

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin

Graph neural networks (GNNs) have drawn increasing attention in recent years and achieved remarkable performance in many graph-based tasks, especially in semi-supervised learning on graphs. However, most existing GNNs are based on the…

Machine Learning · Computer Science 2024-01-24 Li Zhou , Wenyu Chen , Dingyi Zeng , Shaohuan Cheng , Wanlong Liu , Malu Zhang , Hong Qu

In this work, we present an end-to-end framework to settle data association in online Multiple-Object Tracking (MOT). Given detection responses, we formulate the frame-by-frame data association as Maximum Weighted Bipartite Matching…

Computer Vision and Pattern Recognition · Computer Science 2019-07-12 Xiaolong Jiang , Peizhao Li , Yanjing Li , Xiantong Zhen