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Large data applications rely on storing data in massive, sparse graphs with millions to trillions of nodes. Graph-based methods, such as node prediction, aim for computational efficiency regardless of graph size. Techniques like localized…

数据结构与算法 · 计算机科学 2025-07-08 Yushen Huang , Ertai Luo , Reza Babenezhad , Yifan Sun

In comparative studies of progressive diseases, such as randomized controlled trials (RCTs), the mean Change From Baseline (CFB) of a continuous outcome at a pre-specified follow-up time across subjects in the target population is a…

统计方法学 · 统计学 2024-11-15 Changyu Shen , Menglan Pang , Ling Zhu , Lu Tian

The diameter, radius and eccentricities are natural graph parameters. While these problems have been studied extensively, there are no known dynamic algorithms for them beyond the ones that follow from trivial recomputation after each…

数据结构与算法 · 计算机科学 2019-12-18 Bertie Ancona , Monika Henzinger , Liam Roditty , Virginia Vassilevska Williams , Nicole Wein

We consider the following stochastic matching problem on both weighted and unweighted graphs: A graph $G(V, E)$ along with a parameter $p \in (0, 1)$ is given in the input. Each edge of $G$ is realized independently with probability $p$.…

数据结构与算法 · 计算机科学 2018-11-09 Soheil Behnezhad , Alireza Farhadi , MohammadTaghi Hajiaghayi , Nima Reyhani

Provenance analysis based on system audit data has emerged as a fundamental approach for investigating Advanced Persistent Threat (APT) attacks. Due to the high concealment and long-term persistence of APT attacks, they are only represented…

密码学与安全 · 计算机科学 2025-10-28 Qi Sheng

Researchers have designed many algorithms to measure the distances between graph nodes, such as average hitting times of random walks, cosine distances from DeepWalk, personalized PageRank, etc. Successful although these algorithms are,…

离散数学 · 计算机科学 2020-12-02 Enzhi Li , Zhengyi Le

In this paper, we analyze the efficiency of Monte Carlo methods for incremental computation of PageRank, personalized PageRank, and similar random walk based methods (with focus on SALSA), on large-scale dynamically evolving social…

数据结构与算法 · 计算机科学 2010-09-01 Bahman Bahmani , Abdur Chowdhury , Ashish Goel

We introduce a family of paper and author similarity measures based on the concept that papers are more similar if they are more likely to be retrieved during a literature search following backward and forward citations. Since this browsing…

数字图书馆 · 计算机科学 2025-10-28 Attila Varga , Sadamori Kojaku , Filipi Nascimento Silva

Effective Resistance (ER) is a fundamental tool in various graph learning tasks. In this paper, we address the problem of efficiently approximating ER on a graph $\mathcal{G}=(\mathcal{V},\mathcal{E})$ with $n$ vertices and $m$ edges.…

数据结构与算法 · 计算机科学 2025-07-08 Yichun Yang , Rong-Hua Li , Meihao Liao , Guoren Wang

The radius and diameter are fundamental graph parameters. They are defined as the minimum and maximum of the eccentricities in a graph, respectively, where the eccentricity of a vertex is the largest distance from the vertex to another…

数据结构与算法 · 计算机科学 2015-06-08 Amir Abboud , Virginia Vassilevska Williams , Joshua Wang

We consider the problem of optimal recovery of true ranking of $n$ items from a randomly chosen subset of their pairwise preferences. It is well known that without any further assumption, one requires a sample size of $\Omega(n^2)$ for the…

机器学习 · 计算机科学 2019-02-13 Aadirupa Saha , Rakesh Shivanna , Chiranjib Bhattacharyya

PageRank has become a key element in the success of search engines, allowing to rank the most important hits in the top screen of results. One key aspect that distinguishes PageRank from other prestige measures such as in-degree is its…

信息检索 · 计算机科学 2007-05-23 Santo Fortunato , Marian Boguna , Alessandro Flammini , Filippo Menczer

In this paper we introduce randomized branching as a tool for parameterized approximation and develop the mathematical machinery for its analysis. Our algorithms improve the best known running times of parameterized approximation algorithms…

数据结构与算法 · 计算机科学 2025-06-10 Ariel Kulik , Hadas Shachnai

The Probability Ranking Principle (PRP) has been considered as the foundational standard in the design of information retrieval (IR) systems. The principle requires an IR module's returned list of results to be ranked with respect to the…

信息检索 · 计算机科学 2024-05-09 Kai Zheng , Haijun Zhao , Rui Huang , Beichuan Zhang , Na Mou , Yanan Niu , Yang Song , Hongning Wang , Kun Gai

Graph visualization is a vital component in many real-world applications (e.g., social network analysis, web mining, and bioinformatics) that enables users to unearth crucial insights from complex data. Lying in the core of graph…

社会与信息网络 · 计算机科学 2023-03-28 Shiqi Zhang , Renchi Yang , Xiaokui Xiao , Xiao Yan , Bo Tang

Approximate nearest neighbor search (ANNS) in high-dimensional spaces is a pivotal challenge in the field of machine learning. In recent years, graph-based methods have emerged as the superior approach to ANNS, establishing a new state of…

机器学习 · 计算机科学 2024-07-11 Kejing Lu , Chuan Xiao , Yoshiharu Ishikawa

This paper shows that pairwise PageRank orders emerge from two-hop walks. The main tool used here refers to a specially designed sign-mirror function and a parameter curve, whose low-order derivative information implies pairwise PageRank…

机器学习 · 计算机科学 2019-03-12 Ying Tang

PageRank is a ranking of the web pages that measures how often a given web page is visited by a random surfer on the web graph, for a simple model of web surfing. It seems realistic that PageRank may also have an influence on the behavior…

概率论 · 数学 2007-12-05 Marianne Akian , Stephane Gaubert , Laure Ninove

In this paper, we consider the problem of maximizing the spread of influence through a social network. Given a graph with a threshold value~$thr(v)$ attached to each vertex~$v$, the spread of influence is modeled as follows: A vertex~$v$…

数据结构与算法 · 计算机科学 2014-08-19 Cristina Bazgan , Morgan Chopin , André Nichterlein , Florian Sikora

Exact pattern matching in labeled graphs is the problem of searching paths of a graph $G=(V,E)$ that spell the same string as the pattern $P[1..m]$. This basic problem can be found at the heart of more complex operations on variation graphs…

计算复杂性 · 计算机科学 2020-06-04 Massimo Equi , Roberto Grossi , Veli Mäkinen