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This is a technical report, containing all the theorem proofs in the following two papers: (1) Liang Ma, Ting He, Kin K. Leung, Ananthram Swami, and Don Towsley, "Identifiability of Link Metrics Based on End-to-end Path Measurements," in…

Networking and Internet Architecture · Computer Science 2020-12-24 Liang Ma , Ting He , Kin K. Leung , Ananthram Swami , Don Towsley

This is a technical report, containing all the theorem proofs and additional evaluations in paper "Efficient Identification of Additive Link Metrics via Network Tomography" by Liang Ma, Ting He, Kin K. Leung, Don Towsley, and Ananthram…

Networking and Internet Architecture · Computer Science 2020-12-23 Liang Ma , Ting He , Kin K. Leung , Don Towsley , Ananthram Swami

This is a technical report, containing all the theorem proofs in paper "Link Identifiability in Communication Networks with Two Monitors" by Liang Ma, Ting He, Kin K. Leung, Ananthram Swami, and Don Towsley, published in IEEE Globecom,…

Networking and Internet Architecture · Computer Science 2020-12-29 Liang Ma , Ting He , Kin K. Leung , Ananthram Swami , Don Towsley

This is a technical report, containing all the theorem proofs and additional evaluations in paper "Network Capability in Localizing Node Failures via End-to-end Path Measurements" by Liang Ma, Ting He, Ananthram Swami, Don Towsley, and Kin…

Networking and Internet Architecture · Computer Science 2020-12-29 Liang Ma , Ting He , Ananthram Swami , Don Towsley , Kin K. Leung

This is a technical report, containing all the theorem proofs and additional evaluations in paper "Monitor Placement for Maximal Identifiability in Network Tomography" by Liang Ma, Ting He, Kin K. Leung, Ananthram Swami, Don Towsley,…

Networking and Internet Architecture · Computer Science 2020-12-22 Liang Ma , Ting He , Kin K. Leung , Ananthram Swami , Don Towsley

This is a technical report, containing all the theorem proofs in paper "On Optimal Monitor Placement for Localizing Node Failures via Network Tomography" by Liang Ma, Ting He, Ananthram Swami, Don Towsley, and Kin K. Leung, published in…

Networking and Internet Architecture · Computer Science 2020-12-18 Liang Ma , Ting He , Ananthram Swami , Don Towsley , Kin K. Leung

This is a technical report, containing all the theorem proofs in paper "Node Failure Localization in Communication Networks via Network Tomography" by Liang Ma, Ting He, Ananthram Swami, Don Towsley, Kin K. Leung, and Jessica Lowe,…

Networking and Internet Architecture · Computer Science 2020-12-28 Liang Ma , Ting He , Ananthram Swami , Don Towsley , Kin K. Leung , Jessica Lowe

Inference of the network structure (e.g., routing topology) and dynamics (e.g., link performance) is an essential component in many network design and management tasks. In this paper we propose a new, general framework for analyzing and…

Networking and Internet Architecture · Computer Science 2019-11-13 Jian Ni , Sekhar Tatikonda

The proof of Theorem 11 of the paper M. Scheepers, Remarks on countable tightness, Topology and its Applications 161 (2014), 407 - 432 relies on Lemma 10 of that paper. The offered proof of Lemma 10 had shortcomings, and I was recently…

General Topology · Mathematics 2015-10-01 Marion Scheepers

Most of metric learning approaches are dedicated to be applied on data described by feature vectors, with some notable exceptions such as times series, trees or graphs. The objective of this paper is to propose a metric learning algorithm…

Machine Learning · Computer Science 2018-07-03 Jiajun Pan , Hoel Le Capitaine , Philippe Leray

An elementary proof of the attainability of random coding exponent with linear codes for additive channels is presented. The result and proof are from Hamada (Proc. ITW, Chendu, China, 2006), and the present material explains the proof in…

Information Theory · Computer Science 2010-01-13 Mitsuru Hamada

When proving theorems from large sets of logical assertions, it can be helpful to restrict the search for a proof to those assertions that are relevant, that is, closely related to the theorem in some sense. For example, in the Watson…

Logic in Computer Science · Computer Science 2019-05-23 David A. Plaisted

Information entropy has been proved to be an effective tool to quantify the structural importance of complex networks. In the previous work (Xu et al, 2016 \cite{xu2016}), we measure the contribution of a path in link prediction with…

Social and Information Networks · Computer Science 2017-03-08 Zhongqi Xu , Cunlai Pu , Rajput Ramiz Sharafat , Lunbo Li , Jian Yang

Link prediction is a paradigmatic problem in network science, which aims at estimating the existence likelihoods of nonobserved links, based on known topology. After a brief introduction of the standard problem and metrics of link…

Data Analysis, Statistics and Probability · Physics 2021-12-14 Tao Zhou

Link prediction in complex networks has attracted increasing attention from both physical and computer science communities. The algorithms can be used to extract missing information, identify spurious interactions, evaluate network evolving…

Physics and Society · Physics 2015-05-20 Linyuan Lu , Tao Zhou

This is a technical report accompanying the paper "All Principal Congruence Link Groups" (arXiv:1802.01275) classifying all principal congruence link complements in S^3 by the same authors. It provides a complete overview of all cases (d,I)…

Geometric Topology · Mathematics 2019-02-14 Mark D. Baker , Matthias Goerner , Alan W. Reid

The task of predicting future relationships in a social network, known as link prediction, has been studied extensively in the literature. Many link prediction methods have been proposed, ranging from common neighbors to probabilistic…

Social and Information Networks · Computer Science 2016-07-26 Ruthwik R. Junuthula , Kevin S. Xu , Vijay K. Devabhaktuni

Link prediction is a popular research area with important applications in a variety of disciplines, including biology, social science, security, and medicine. The fundamental requirement of link prediction is the accurate and effective…

Information Retrieval · Computer Science 2015-05-18 Yang Yang , Ryan N. Lichtenwalter , Nitesh V. Chawla

This technical report contains the proofs to the lemmata and theorems of [PN12] as well as some additional material. As main contributions [PN12] presents an encoding of mixed choice in the context of the pi-calculus and a criterion to…

Logic in Computer Science · Computer Science 2012-01-09 Kirstin Peters , Uwe Nestmann

In this paper we shall show that the metrics are equivalent which obtained by Feng and Mao in [[1], Y. Feng and W. Mao, Equivalence of Cone Metric spaces and Metric Spaces, Fixed Point Theory, 11(2)(2010), 259-264.] and Du in [[2], Wei-Shih…

Functional Analysis · Mathematics 2012-05-31 Mehdi Asadi , Hossein Soleimani
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