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The success of autonomous systems will depend upon their ability to safely navigate human-centric environments. This motivates the need for a real-time, probabilistic forecasting algorithm for pedestrians, cyclists, and other agents since…

Robotics · Computer Science 2017-06-21 Henry O. Jacobs , Owen K. Hughes , Matthew Johnson-Roberson , Ram Vasudevan

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

Social and Information Networks · Computer Science 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

We investigate the problem of sequentially predicting the binary labels on the nodes of an arbitrary weighted graph. We show that, under a suitable parametrization of the problem, the optimal number of prediction mistakes can be…

Machine Learning · Computer Science 2012-12-27 Nicolo' Cesa-Bianchi , Claudio Gentile , Fabio Vitale , Giovanni Zappella

Link prediction in complex networks--identifying the missing or future connections--remains a cornerstone problem for understanding network evolution and function, yet existing methods struggle to balance computational efficiency with…

Social and Information Networks · Computer Science 2025-11-25 Huilin Wang Wenjun Zhang Weibing Deng

We consider the problems of reaching average consensus and solving consensus-based optimization over unreliable communication networks wherein packets may be dropped accidentally during transmission. Existing work either assumes that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-11 Lili Su

We study the computational complexity of locally estimating a node's PageRank centrality in a directed graph $G$. For any node $t$, its PageRank centrality $\pi(t)$ is defined as the probability that a random walk in $G$, starting from a…

Data Structures and Algorithms · Computer Science 2026-01-21 Mikkel Thorup , Hanzhi Wang , Zhewei Wei , Mingji Yang

Hypergraph has been selected as a powerful candidate for characterizing higher-order networks and has received increasing attention in recent years. In this article, we study random walks with resetting on hypergraph by utilizing spectral…

Social and Information Networks · Computer Science 2025-05-08 Fei Ma , Xincheng Hu , Haobin Shi , Wei Pan , Ping Wang

We develop a generalized optimization framework for graph-based semi-supervised learning. The framework gives as particular cases the Standard Laplacian, Normalized Laplacian and PageRank based methods. We have also provided new…

Networking and Internet Architecture · Computer Science 2011-10-20 Konstantin Avrachenkov , Paulo Gonçalves , Alexey Mishenin , Marina Sokol

We propose a novel Bayesian methodology which uses random walks for rapid inference of statistical properties of undirected networks with weighted or unweighted edges. Our formalism yields high-accuracy estimates of the probability…

Physics and Society · Physics 2018-07-25 Willow B. Kion-Crosby , Alexandre V. Morozov

We propose a novel random walk-based algorithm for unbiased estimation of arbitrary functions of a weighted adjacency matrix, coined universal graph random features (u-GRFs). This includes many of the most popular examples of kernels…

Machine Learning · Statistics 2024-05-27 Isaac Reid , Krzysztof Choromanski , Eli Berger , Adrian Weller

This work proposes a novel framework based on nested evolving set processes to accelerate Personalized PageRank (PPR) computation. At each stage of the process, we employ a localized inexact proximal point iteration to solve a simplified…

Machine Learning · Computer Science 2025-10-28 Binbin Huang , Luo Luo , Yanghua Xiao , Deqing Yang , Baojian Zhou

In most of the shortest path problems like vehicle routing problems and network routing problems, we only need an efficient path between two points source and destination, and it is not necessary to calculate the shortest path from source…

Data Structures and Algorithms · Computer Science 2009-11-03 Muhammad Aasim Qureshi , Dr. Fadzil B. Hassan , Sohail Safdar , Rehan Akbar

In the search engine of Google, the PageRank algorithm plays a crucial role in ranking the search results. The algorithm quantifies the importance of each web page based on the link structure of the web. We first provide an overview of the…

Systems and Control · Computer Science 2012-03-30 Hideaki Ishii , Roberto Tempo

PageRank is a graph centrality metric that gives the importance of each node in a given graph. The PageRank algorithm provides important insights to understand the behavior of nodes through the connections they form with other nodes. It is…

Data Structures and Algorithms · Computer Science 2022-03-18 Shalini Jain , Rahul Utkoor , Hemalatha Eedi , Sathya Peri , Ramakrishna Upadrasta

We give a new link spam detection and PageRank demotion algorithm called MaxRank. Like TrustRank and AntiTrustRank, it starts with a seed of hand-picked trusted and spam pages. We define the MaxRank of a page as the frequency of visit of…

Optimization and Control · Mathematics 2017-04-14 Olivier Fercoq

This paper introduces a scalable approach for probabilistic top-k similarity ranking on uncertain vector data. Each uncertain object is represented by a set of vector instances that are assumed to be mutually-exclusive. The objective is to…

Databases · Computer Science 2009-07-17 Thomas Bernecker , Hans-Peter Kriegel , Nikos Mamoulis , Matthias Renz , Andreas Zuefle

We study the behavior of network diffusions based on the PageRank random walk from a set of seed nodes. These diffusions are known to reveal small, localized clusters (or communities) and also large macro-scale clusters by varying a…

Social and Information Networks · Computer Science 2016-07-06 Kyle Kloster , David F. Gleich

{\it SimRank} is a classic measure of the similarities of nodes in a graph. Given a node $u$ in graph $G =(V, E)$, a {\em single-source SimRank query} returns the SimRank similarities $s(u, v)$ between node $u$ and each node $v \in V$. This…

Data Structures and Algorithms · Computer Science 2019-05-08 Zhewei Wei , Xiaodong He , Xiaokui Xiao , Sibo Wang , Yu Liu , Xiaoyong Du , Ji-Rong Wen

Random walks find extensive application across various complex network domains, including embedding generation and link prediction. Despite the widespread utilization of random walks, the precise impact of distinct biases on embedding…

Social and Information Networks · Computer Science 2023-08-08 Adilson Vital , Filipi N. Silva , Diego R. Amancio

Surface normal estimation from a single image is an important task in 3D scene understanding. In this paper, we address two limitations shared by the existing methods: the inability to estimate the aleatoric uncertainty and lack of detail…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Gwangbin Bae , Ignas Budvytis , Roberto Cipolla