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Inference and prediction of routes have become of interest over the past decade owing to a dramatic increase in package delivery and ride-sharing services. Given the underlying combinatorial structure and the incorporation of probabilities,…

计算机科学中的逻辑 · 计算机科学 2023-06-21 Suwei Yang , Victor C. Liang , Kuldeep S. Meel

In industrial large-scale search systems, such as Taobao.com search for commodities, the quality of the ranking result is getting continually improved by introducing more factors from complex procedures, e.g., deep neural networks for…

信息检索 · 计算机科学 2018-03-15 Yusen Zhan , Qing Da , Fei Xiao , An-xiang Zeng , Yang Yu

Random geometric graphs defined on Euclidean subspaces, also called Gilbert graphs, are widely used to model spatially embedded networks across various domains. In such graphs, nodes are located at random in Euclidean space, and any two…

概率论 · 数学 2026-04-23 Sarat Moka , Christian Hirsch , Volker Schmidt , Dirk Kroese

The purpose of the research is to find a centrality measure that can be used in place of PageRank and to find out the conditions where we can use it in place of PageRank. After analysis and comparison of graphs with a large number of nodes…

社会与信息网络 · 计算机科学 2022-01-24 Suvarna Saumya Chandrashekhar , Mashrin Srivastava , B. Jaganathan , Pankaj Shukla

Our objective is to sample the node set of a large unknown graph via crawling, to accurately estimate a given metric of interest. We design a random walk on an appropriately defined weighted graph that achieves high efficiency by…

社会与信息网络 · 计算机科学 2011-03-29 M. Kurant , M. Gjoka , C. T. Butts , A. Markopoulou

Low-rank tensor decomposition and completion have attracted significant interest from academia given the ubiquity of tensor data. However, the low-rank structure is a global property, which will not be fulfilled when the data presents…

机器学习 · 计算机科学 2019-12-13 Ziyue Li , Nurettin Dorukhan Sergin , Hao Yan , Chen Zhang , Fugee Tsung

Structure learning methods for covariance and concentration graphs are often validated on synthetic models, usually obtained by randomly generating: (i) an undirected graph, and (ii) a compatible symmetric positive definite (SPD) matrix. In…

统计方法学 · 统计学 2019-10-02 Irene Córdoba , Gherardo Varando , Concha Bielza , Pedro Larrañaga

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…

社会与信息网络 · 计算机科学 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

We compare two link analysis ranking methods of web pages in a site. The first, called Site Rank, is an adaptation of PageRank to the granularity of a web site and the second, called Popularity Rank, is based on the frequencies of user…

人工智能 · 计算机科学 2007-05-23 Jose Borges , Mark Levene

Graph embedding maps a graph into a convenient vector-space representation for graph analysis and machine learning applications. Many graph embedding methods hinge on a sampling of context nodes based on random walks. However, random walks…

机器学习 · 计算机科学 2021-10-18 Sadamori Kojaku , Jisung Yoon , Isabel Constantino , Yong-Yeol Ahn

Graph embedding is a fundamental problem of mapping nodes of a guest graph into a host graph while minimizing the distance distortion, with broad applications, including virtual network embeddings into physical topologies, VLSI design, or…

数据结构与算法 · 计算机科学 2026-05-19 Julien Dallot , Darya Melnyk , Maciej Pacut , Stefan Schmid

Nowadays, the size of the Internet is experiencing rapid growth. As of December 2014, the number of global Internet websites has more than 1 billion and all kinds of information resources are integrated together on the Internet, however,the…

分布式、并行与集群计算 · 计算机科学 2015-06-02 Qingpei Guo , Chao Xu , Yang Song

The problem of graphical model selection is to correctly estimate the graph structure of a Markov random field given samples from the underlying distribution. We analyze the information-theoretic limitations of the problem of graph…

信息论 · 计算机科学 2009-05-19 Narayana Santhanam , Martin J. Wainwright

The PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that the PageRank obeys a `power law' with the same exponent as the In-Degree. This paper presents a novel mathematical model that explains this…

概率论 · 数学 2007-05-23 N. Litvak , W. R. W. Scheinhardt , Y. Volkovich

In evaluating an algorithm, worst-case analysis can be overly pessimistic. Average-case analysis can be overly optimistic. An intermediate approach is to show that an algorithm does well on a broad class of input distributions. Koutsoupias…

数据结构与算法 · 计算机科学 2015-06-02 Neal E. Young

Graph clustering is an important technique to understand the relationships between the vertices in a big graph. In this paper, we propose a novel random-walk-based graph clustering method. The proposed method restricts the reach of the…

社会与信息网络 · 计算机科学 2016-06-22 Honglei Zhang , Jenni Raitoharju , Serkan Kiranyaz , Moncef Gabbouj

This note extends the analysis of incremental PageRank in [B. Bahmani, A. Chowdhury, and A. Goel. Fast Incremental and Personalized PageRank. VLDB 2011]. In that work, the authors prove a running time of $O(\frac{nR}{\epsilon^2} \ln(m))$ to…

数据结构与算法 · 计算机科学 2014-04-15 Peter Lofgren

Motivated by fairness requirements in communication networks, we introduce a natural variant of the online paging problem, called \textit{min-max} paging, where the objective is to minimize the maximum number of faults on any page. While…

数据结构与算法 · 计算机科学 2022-12-07 Ashish Chiplunkar , Monika Henzinger , Sagar Sudhir Kale , Maximilian Vötsch

When we try to solve a system of linear equations, we can consider a simple iterative algorithm in which an equation including only one variable is chosen at each step, and the variable is fixed to the value satisfying the equation. The…

离散数学 · 计算机科学 2015-06-03 Ryuhei Mori , Osamu Watanabe

We investigate the classical active pure exploration problem in Markov Decision Processes, where the agent sequentially selects actions and, from the resulting system trajectory, aims at identifying the best policy as fast as possible. We…

机器学习 · 统计学 2021-10-26 Aymen Al Marjani , Aurélien Garivier , Alexandre Proutiere