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Paper Abstract and Keywords
Presentation 2015-11-26 15:00
[Poster Presentation] Halting in Random Walk Kernels
Mahito Sugiyama (Osaka Univ.), Karsten Borgwardt (ETHZ)
Abstract (in Japanese) (See Japanese page) 
(in English) Random walk kernels measure graph similarity by counting matching walks in two graphs. In their most popular form of geometric random walk kernels, longer walks of length $k$ are downweighted by a factor of $lambda^k$ ($lambda < 1$) to ensure convergence of the corresponding geometric series. We know from the field of link prediction that this downweighting often leads to a phenomenon referred to as halting: Longer walks are downweighted so much that the similarity score is completely dominated by the comparison of walks of length 1. This is a na{"i}ve kernel between edges and vertices. We theoretically show that halting may occur in geometric random walk kernels. We also empirically quantify its impact in simulated datasets and popular graph classification benchmark datasets. Our findings promise to be instrumental in future graph kernel development and applications of random walk kernels.
Keyword (in Japanese) (See Japanese page) 
(in English) Graph kernel / Random walk kernel / Halting / / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 323, IBISML2015-63, pp. 75-82, Nov. 2015.
Paper # IBISML2015-63 
Date of Issue 2015-11-19 (IBISML) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

Conference Information
Committee IBISML  
Conference Date 2015-11-25 - 2015-11-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Epochal Tsukuba 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Information-Based Induction Science Workshop (IBIS2015) 
Paper Information
Registration To IBISML 
Conference Code 2015-11-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Halting in Random Walk Kernels 
Sub Title (in English)  
Keyword(1) Graph kernel  
Keyword(2) Random walk kernel  
Keyword(3) Halting  
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1st Author's Name Mahito Sugiyama  
1st Author's Affiliation Osaka University (Osaka Univ.)
2nd Author's Name Karsten Borgwardt  
2nd Author's Affiliation ETH Zurich (ETHZ)
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Speaker
Date Time 2015-11-26 15:00:00 
Presentation Time 180 
Registration for IBISML 
Paper # IEICE-IBISML2015-63 
Volume (vol) IEICE-115 
Number (no) no.323 
Page pp.75-82 
#Pages IEICE-8 
Date of Issue IEICE-IBISML-2015-11-19 


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