By Anthony Bonato, Fan Chung Graham, Pawel Pralat

ISBN-10: 3319497863

ISBN-13: 9783319497860

ISBN-10: 3319497871

ISBN-13: 9783319497877

This ebook constitutes the complaints of the thirteenth overseas Workshop on Algorithms and types for the net Graph, WAW 2016, held in Montreal, quality controls, Canada, in December 2016.

The thirteen complete papers awarded during this quantity have been rigorously reviewed and chosen from 14 submissions. The workshop amassed the researchers who're engaged on graph-theoretic and algorithmic facets of similar advanced networks, together with social networks, quotation networks, organic networks, molecular networks, and different networks coming up from the Internet.

**Read Online or Download Algorithms and Models for the Web Graph: 13th International Workshop, WAW 2016, Montreal, QC, Canada, December 14–15, 2016, Proceedings PDF**

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**Additional info for Algorithms and Models for the Web Graph: 13th International Workshop, WAW 2016, Montreal, QC, Canada, December 14–15, 2016, Proceedings**

**Example text**

7 of [6]. E. in the asynchronous case as the synchronous case and the asymptotic behavior of the algorithm is the same as that for the synchronous case. 2 K. Avrachenkov et al. Randomized Kaczmarz Approach Another asynchronously distributed approach is to apply the randomized Kaczmarz algorithm (RK-approach) to (2). We solve the linear system (2) of the form Ax = b, where A = (A + AT ) + μ(B + B T ) and b = μ(B + B T )Y . , pi = N1 for uniform sampling). , N }. Let λmin be the smallest nonˆTi a ˆi .

3 Distributed Approaches In this section we describe two approaches for solution of (2) which can be naturally distributed (in asynchronous fashion) and can also be applied in a scenario with streaming data. We prove the convergence of the proposed approaches and comment on their rate of convergence. 1 37 Stochastic Approximation Approach The ﬁrst solution is based on Stochastic Approximation (SA-approach). Consider the general problem of ﬁnding a unique solution x∗ of the system x = G(x) = Bx + Y , (3) where x, Y ∈ Rd and B = {b(i, j)} ∈ Rd×d is irreducible non-negative.

1 WebKB Graph We look at the classiﬁcation of webpages of 4 universities - Cornell, Texas, Washington and Wisconsin - corresponding to the popular WebKB dataset [10]. The graph formed by the hyperlinks connecting these pages is taken such that only webpages with hyperlinks to webpages within the dataset are considered. Self-links are removed. Clusters thus formed are: Cornell (676), Texas (590), Washington (982) and Wisconsin (613). The highest degree node from each class (university main web page) is labelled.

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