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In the last years, Google's PageRank optimization problems have been extensively studied. In that case, the ranking is given by the invariant measure of a stochastic matrix. In this paper, we consider the more general situation in which the…

最优化与控制 · 数学 2016-01-08 Olivier Fercoq

This paper proposes an efficient HOT algorithm for solving the optimal transport (OT) problems with finite supports. We particularly focus on an efficient implementation of the HOT algorithm for the case where the supports are in…

最优化与控制 · 数学 2025-04-17 Guojun Zhang , Zhexuan Gu , Yancheng Yuan , Defeng Sun

We present a new method to accelerate the HITS algorithm by exploiting hyperlink structure of the web graph. The proposed algorithm extends the idea of authority and hub scores from HITS by introducing two diagonal matrices which contain…

信息检索 · 计算机科学 2009-09-04 Andri Mirzal , Masashi Furukawa

Classical multi-scale methods involving two spatial scales face significant challenges when simulating heterogeneous structures with complicated three-scale spatial configurations. This study proposes an innovative higher-order three-scale…

数值分析 · 数学 2025-12-11 Hao Dong , Yanqi Wang , Jiale Linghu , Qiang Ma

We present a new and efficient algorithm for determining a consensus value for a network of agents. Different from existing algorithms, our algorithm evaluates the consensus value for very large networks using heat kernel pagerank. We…

系统与控制 · 计算机科学 2015-08-03 Fan Chung , Olivia Simpson

The dangling nodes is the nodes with no out-links in the web graph. It saves many computational cost and operations provided the dangling nodes are lumped into one node. In this paper, motivated by so many dangling nodes in web graph, we…

数值分析 · 数学 2021-12-28 Yongxin Dong , Yuehua Feng , Jianxin You

Network-based recommendation algorithms for user-object link predictions have achieved significant developments in recent years. For bipartite graphs, the reallocation of resource in such algorithms is analogous to heat spreading (HeatS) or…

物理与社会 · 物理学 2012-10-08 Chuang Liu , Wei-Xing Zhou

We study sublinear algorithms for two fundamental graph problems, MAXCUT and correlation clustering. Our focus is on constructing core-sets as well as developing streaming algorithms for these problems. Constant space algorithms are known…

数据结构与算法 · 计算机科学 2018-02-21 Aditya Bhaskara , Samira Daruki , Suresh Venkatasubramanian

The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

数据结构与算法 · 计算机科学 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

Heterogeneity of both the source and target objects is taken into account in a network-based algorithm for the directional resource transformation between objects. Based on a biased heat conduction recommendation method (BHC) which…

物理与社会 · 物理学 2013-06-03 Tian Qiu , Tian-Tian Wang , Zi-Ke Zhang , Li-Xin Zhong , Guang Chen

Fast exact algorithms are known for Hamiltonian paths in undirected and directed bipartite graphs through elegant though involved algorithms that are quite different from each other. We devise algorithms that are simple and similar to each…

数据结构与算法 · 计算机科学 2025-12-10 V. Arvind , Srijan Chakraborty , Samir Datta , Asif Khan

This study develops a novel multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains. Firstly, the second-order two-scale (SOTS) solutions for these…

数值分析 · 数学 2017-12-08 Hao Dong , Junzhi Cui , Yufeng Nie , Zihao Yang

Heat kernel pagerank is a variation of Personalized PageRank given in an exponential formulation. In this work, we present a sublinear time algorithm for approximating the heat kernel pagerank of a graph. The algorithm works by simulating…

数据结构与算法 · 计算机科学 2016-12-16 Fan Chung , Olivia Simpson

We consider several problems in the field of distributed optimization and hypothesis testing. We show how to obtain convergence times for these problems that scale linearly with the total number of nodes in the network by using a recent…

最优化与控制 · 数学 2017-05-24 Alex Olshevsky

The data-compatibility approach to constrained optimization, proposed here, strives to a point that is "close enough" to the solution set and whose target function value is "close enough" to the constrained minimum value. These notions can…

最优化与控制 · 数学 2020-10-26 Yair Censor , Maroun Zaknoon , Alexander J. Zaslavski

We investigate the low rank matrix completion problem in an online setting with ${M}$ users, ${N}$ items, ${T}$ rounds, and an unknown rank-$r$ reward matrix ${R}\in \mathbb{R}^{{M}\times {N}}$. This problem has been well-studied in the…

机器学习 · 计算机科学 2024-08-13 Dheeraj Baby , Soumyabrata Pal

Inspired by traditional link prediction and to solve the problem of recommending friends in social networks, we introduce the personalized link prediction in this paper, in which each individual will get equal number of diversiform…

物理与社会 · 物理学 2016-02-17 Jin-Hu Liu , Yu-Xiao Zhu , Tao Zhou

With the fast growth of the Internet, more and more information is available on the Web. The Semantic Web has many features which cannot be handled by using the traditional search engines. It extracts metadata for each discovered Web…

人工智能 · 计算机科学 2011-11-30 Ahmed Tolba , Nabila Eladawi , Mohammed Elmogy

The objective of this work is human pose estimation in videos, where multiple frames are available. We investigate a ConvNet architecture that is able to benefit from temporal context by combining information across the multiple frames…

计算机视觉与模式识别 · 计算机科学 2015-11-10 Tomas Pfister , James Charles , Andrew Zisserman

PageRank is a well-known centrality measure for the web used in search engines, representing the importance of each web page. In this paper, we follow the line of recent research on the development of distributed algorithms for computation…

系统与控制 · 电气工程与系统科学 2019-07-24 Atsushi Suzuki , Hideaki Ishii
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