By Anthony Bonato, Fan Chung Graham, Pawel Pralat
This booklet 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 conscientiously reviewed and chosen from 14 submissions. The workshop accrued the researchers who're engaged on graph-theoretic and algorithmic elements of comparable complicated networks, together with social networks, quotation networks, organic networks, molecular networks, and different networks bobbing up from the Internet.
Read 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
Semi-supervised learning with regularized Laplacian. Accepted in Optimization Methods & Software (2016) 4. : Label propagation and quadratic criterion. In: Semi-supervised Learning, ch. 10 (2006) 5. : Parallel and Distributed Computation: Numerical Methods. Prentice Hall, Englewood Cliﬀs (1989) 6. : Stochastic Approximation: A Dynamical Systems Viewpoint. Hindustan Publishing Agency, Cambridge University Press, New Delhi, Cambridge (2008) 7. : Randomized Kaczmarz for rank aggregation from pairwise comparisons.
2. The condition number is the smallest for the normalized Laplacian method and the highest for the harmonic functions method in all the cases. λmax being less than 1 for all the methods, the λmin must be very small for the harmonic functions method as compared to normalized Laplacian to explain the large condition number. This leads to their large convergence times. Table 1. Condition number values. 6 × 106 Conclusion We proposed two asynchronously distributed approaches for graph-based semisupervised learning.
Actually, we may replace PX3 ,Y3 by PY3 above, because all events appearing on the right are independent of X3 . One may also be interested in analyzing the conditional probability cdi (X, Y ) = PX,Y (2 → 4 1 → 3, 1 → 4, 2 → 3 , where PX,Y refers to the conditional probability given the values of all node weights X = (Xi ) and Y = (Yi ). Again, we may replace PX,Y by PX1 ,X2 ,Y3 ,Y4 above, because the events on the right are independent of the other nodes’ weights. More interestingly, cdi (X, Y ) turns out to be asymptotically independent of X2 and Y4 as well in the sparse regime.