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A complex unit gain graph is a simple graph in which each orientation of an edge is given a complex number with modulus 1 and its inverse is assigned to the opposite orientation of the edge. In this article, first we establish bounds for…

组合数学 · 数学 2019-10-04 Ranjit Mehatari , M. Rajesh Kannan , Aniruddha Samanta

Contrastive learning has emerged as a premier method for learning representations with or without supervision. Recent studies have shown its utility in graph representation learning for pre-training. Despite successes, the understanding of…

机器学习 · 计算机科学 2023-02-07 Amur Ghose , Yingxue Zhang , Jianye Hao , Mark Coates

We propose a novel solution for predicting future trajectories of pedestrians. Our method uses a multimodal encoder-decoder transformer architecture, which takes as input both pedestrian locations and ego-vehicle speeds. Notably, our…

计算机视觉与模式识别 · 计算机科学 2023-07-11 Haleh Damirchi , Michael Greenspan , Ali Etemad

Accurate prediction of real-world pedestrian trajectories is crucial for a wide range of robot-related applications. Recent approaches typically adopt graph-based or transformer-based frameworks to model interactions. Despite their…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Ruochen Li , Ziyi Chang , Junyan Hu , Jiannan Li , Amir Atapour-Abarghouei , Hubert P. H. Shum

We present a novel learning-based approach to graph representations of road networks employing state-of-the-art graph convolutional neural networks. Our approach is applied to realistic road networks of 17 cities from Open Street Map. While…

机器学习 · 计算机科学 2022-06-07 Zahra Gharaee , Shreyas Kowshik , Oliver Stromann , Michael Felsberg

Many systems comprising entities in interactions can be represented as graphs, whose structure gives significant insights about how these systems work. Network theory has undergone further developments, in particular in relation to…

数据分析、统计与概率 · 物理学 2016-06-14 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

To address the problem that traditional network traffic anomaly detection algorithms do not suffi-ciently mine potential features in long time domain, an anomaly detection method based on mul-ti-scale residual features of network traffic is…

网络与互联网体系结构 · 计算机科学 2022-05-10 Xueyuan Duan , Yu Fu , Kun Wang

In this paper, we aim to forecast a future trajectory distribution of a moving agent in the real world, given the social scene images and historical trajectories. Yet, it is a challenging task because the ground-truth distribution is…

计算机视觉与模式识别 · 计算机科学 2022-04-01 Ke Guo , Wenxi Liu , Jia Pan

Scene graph generation (SGG) is designed to extract (subject, predicate, object) triplets in images. Recent works have made a steady progress on SGG, and provide useful tools for high-level vision and language understanding. However, due to…

计算机视觉与模式识别 · 计算机科学 2022-07-21 Ao Zhang , Yuan Yao , Qianyu Chen , Wei Ji , Zhiyuan Liu , Maosong Sun , Tat-Seng Chua

Our goal is to use overhead imagery to understand patterns in traffic flow, for instance answering questions such as how fast could you traverse Times Square at 3am on a Sunday. A traditional approach for solving this problem would be to…

计算机视觉与模式识别 · 计算机科学 2020-12-22 Scott Workman , Nathan Jacobs

We consider different methods, that do not rely on numerical simulations of the percolation process, to approximate percolation thresholds in networks. We perform a systematic analysis on synthetic graphs and a collection of 109 real…

物理与社会 · 物理学 2015-01-16 Filippo Radicchi

The graph fractional Fourier transform (GFRFT) for unitary graph Fourier transform (GFT) matrices can be interpreted through the scalar function $e^{j\alpha\theta}$ on the unit circle. Under the principal branch, its Fourier-series…

信号处理 · 电气工程与系统科学 2026-05-19 Ziqi Yan , Mingzhi Wang , Sen Shi , Feiyue Zhao , Manjun Cui , Yangfan He , Zhichao Zhang

In graph signal processing, the graph adjacency matrix or the graph Laplacian commonly define the shift operator. The spectral decomposition of the shift operator plays an important role in that the eigenvalues represent frequencies and the…

数值分析 · 计算机科学 2016-11-09 Stephen Kruzick , Jose M. F. Moura

Spectral analysis of networks states that many structural properties of graphs, such as centrality of their nodes, are given in terms of their adjacency matrices. The natural extension of such spectral analysis to higher order networks is…

谱理论 · 数学 2025-03-17 Gonzalo Contreras-Aso , Cristian Pérez-Corral , Miguel Romance

In many real-world applications involving static environments, the spatial layout of objects remains consistent across instances. However, state-of-the-art object detection models often fail to leverage this spatial prior, resulting in…

计算机视觉与模式识别 · 计算机科学 2026-05-26 Vishakha Lall , Yisi Liu

Multivariate time series (MTS) anomaly detection commonly encounters in various domains like finance, healthcare, and industrial monitoring. However, existing MTS anomaly detection methods are mostly defined on the static graph structure,…

机器学习 · 计算机科学 2025-09-23 Jia Li , Shiyu Long , Ye Yuan

While a common assumption in graph signal analysis is the smoothness of the signals or the band-limitedness of their spectrum, in many instances the spectrum of real graph data may be concentrated at multiple regions of the spectrum,…

机器学习 · 统计学 2025-02-20 Osman Furkan Kar , Gülce Turhan , Elif Vural

This paper considers the graph signal processing problem of anomaly detection in time series of graphs. We examine two related, complementary inference tasks: the detection of anomalous graphs within a time series, and the detection of…

In this article, we propose a new type of square matrix associated with an undirected graph by trading off the naturally imbedded symmetry in them. The proposed matrix is defined using the neighbourhood sets of the vertices. It is called as…

离散数学 · 计算机科学 2019-03-14 Sivakumar Karunakaran , Lavanya Selvaganesh

For a long time, many methods are developed to make temporal signal analyses based on time series. However, for geographical systems, spatial signal analyses are as important as temporal signal analyses. Nonstationary spatial and temporal…

物理与社会 · 物理学 2020-12-29 Yanguang Chen , Yuqing Long
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