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The recent past has seen an increasing interest in Heterogeneous Graph Neural Networks (HGNNs), since many real-world graphs are heterogeneous in nature, from citation graphs to email graphs. However, existing methods ignore a tree…

Machine Learning · Computer Science 2025-04-15 Mingyu Guan , Jack W. Stokes , Qinlong Luo , Fuchen Liu , Purvanshi Mehta , Elnaz Nouri , Taesoo Kim

Road traffic forecasting is crucial in real-world intelligent transportation scenarios like traffic dispatching and path planning in city management and personal traveling. Spatio-temporal graph neural networks (STGNNs) stand out as the…

Machine Learning · Computer Science 2025-01-03 Yuchen Fang , Yuxuan Liang , Bo Hui , Zezhi Shao , Liwei Deng , Xu Liu , Xinke Jiang , Kai Zheng

Statistical analysis of a graph often starts with embedding, the process of representing its nodes as points in space. How to choose the embedding dimension is a nuanced decision in practice, but in theory a notion of true dimension is…

Machine Learning · Statistics 2021-01-06 Patrick Rubin-Delanchy

The growing complexity of spatial and structural information in 3D data makes data inspection and visualization a challenging task. We describe a method to create a planar embedding of 3D treelike structures using their skeleton…

Graphics · Computer Science 2022-02-23 Ping Hu , Saeed Boorboor , Joseph Marino , Arie E. Kaufman

Recent years have witnessed a surge of biological interest in the minimum spanning tree (MST) problem for its relevance to automatic model construction using the distances between data points. Despite the increasing use of MST algorithms…

Quantitative Methods · Quantitative Biology 2015-11-02 Momoko Hayamizu , Hiroshi Endo , Kenji Fukumizu

We introduce a technique that is capable to filter out information from complex systems, by mapping them to networks, and extracting a subgraph with the strongest links. This idea is based on the Minimum Spanning Tree, and it can be applied…

Physics and Society · Physics 2009-05-17 Antonios Garas , Panos Argyrakis

In this paper we propose and study a new complexity model for approximation algorithms. The main motivation are practical problems over large data sets that need to be solved many times for different scenarios, e.g., many multicast trees…

Data Structures and Algorithms · Computer Science 2010-06-18 Marek Cygan , Lukasz Kowalik , Marcin Mucha , Marcin Pilipczuk , Piotr Sankowski

The accurate and automatic extraction of roads from satellite imagery is critical for applications in navigation and urban planning, significantly reducing the need for manual annotation. Many existing methods decompose this task into…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Zhengyang Wei , Renzhi Jing , Yiyi He , Jenny Suckale

$\textbf{This is the conference version of our paper: Spatiotemporal Implicit Neural Representation as a Generalized Traffic Data Learner}$. Spatiotemporal Traffic Data (STTD) measures the complex dynamical behaviors of the multiscale…

Machine Learning · Computer Science 2024-06-14 Tong Nie , Guoyang Qin , Wei Ma , Jian Sun

Single-cell spatial transcriptomics (ST) offers a unique approach to measuring gene expression profiles and spatial cell locations simultaneously. However, most existing ST methods assume that cells in closer spatial proximity exhibit more…

Genomics · Quantitative Biology 2025-06-10 Xiongtao Xiao , Xiaofeng Chen , Feiyan Jiang , Songming Zhang , Wenming Cao , Cheng Tan , Zhangyang Gao , Zhongshan Li

Graph structured data, specifically text-attributed graphs (TAG), effectively represent relationships among varied entities. Such graphs are essential for semi-supervised node classification tasks. Graph Neural Networks (GNNs) have emerged…

Machine Learning · Computer Science 2024-04-18 Kaiwen Dong , Zhichun Guo , Nitesh V. Chawla

We address the problem of efficiently gathering correlated data from a wired or a wireless sensor network, with the aim of designing algorithms with provable optimality guarantees, and understanding how close we can get to the known…

Networking and Internet Architecture · Computer Science 2009-08-03 Jian Li , Amol Deshpande , Samir Khuller

This work seeks to tackle the inherent complexity of dataspaces by introducing a novel data structure that can represent datasets across multiple levels of abstraction, ranging from local to global. We propose the concept of a multilevel…

Data Structures and Algorithms · Computer Science 2025-04-01 Marco Caputo , Michele Russo , Emanuela Merelli

Density map is an effective visualization technique for depicting the scalar field distribution in 2D space. Conventional methods for constructing density maps are mainly based on Euclidean distance, limiting their applicability in urban…

Human-Computer Interaction · Computer Science 2021-03-08 Zezheng Feng , Haotian Li , Wei Zeng , Shuang-Hua Yang , Huamin Qu

This paper proposes a novel graphical model, termed the spatial dependence graph model, which captures the global dependence structure of different events that occur randomly in space. In the spatial dependence graph model, the edge set is…

Methodology · Statistics 2016-07-26 Matthias Eckardt

We present a dynamic data structure for representing a graph $G$ with tree-depth at most $D$. Tree-depth is an important graph parameter which arose in the study of sparse graph classes. The structure allows addition and removal of edges…

Data Structures and Algorithms · Computer Science 2013-07-11 Zdenek Dvorak , Martin Kupec , Vojtech Tuma

We propose a novel graph visualization method leveraging random walk-based embeddings to replace costly graph-theoretical distance computations. Using word2vec-inspired embeddings, our approach captures both structural and semantic…

Computational Geometry · Computer Science 2025-09-23 Minglai Yang , Reyan Ahmed

To capture spatial relationships and temporal dynamics in traffic data, spatio-temporal models for traffic forecasting have drawn significant attention in recent years. Most of the recent works employed graph neural networks(GNN) with…

Machine Learning · Computer Science 2021-04-02 Amit Roy , Kashob Kumar Roy , Amin Ahsan Ali , M Ashraful Amin , A K M Mahbubur Rahman

In this work we present a novel compact scene representation based on Stixels that infers geometric and semantic information. Our approach overcomes the previous rather restrictive geometric assumptions for Stixels by introducing a novel…

Computer Vision and Pattern Recognition · Computer Science 2017-07-19 Daniel Hernandez-Juarez , Lukas Schneider , Antonio Espinosa , David Vázquez , Antonio M. López , Uwe Franke , Marc Pollefeys , Juan C. Moure

Staged trees are probabilistic graphical models capable of representing any class of non-symmetric independence via a coloring of its vertices. Several structural learning routines have been defined and implemented to learn staged trees…

Machine Learning · Statistics 2024-05-29 Jack Storror Carter , Manuele Leonelli , Eva Riccomagno , Gherardo Varando