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A greedy algorithm to construct L1 graph with ranked dictionary

  • Shuchu Han*
  • , Hong Qin
  • *Corresponding author for this work
  • Stony Brook University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

L1 graph is an effective way to represent data samples in many graph-oriented machine learning applications. Its original construction algorithm is nonparametric, and the graphs it generates may have high sparsity. Meanwhile, the construction algorithm also requires many iterative convex optimization calculations and is very time-consuming. Such characteristics would severely limit the application scope of L1 graph in many real-world tasks. In this paper, we design a greedy algorithm to speed up the construction of L1 graph. Moreover, we introduce the concept of “Ranked Dictionary” for L1 minimization. This ranked dictionary not only preserves the locality but also removes the randomness of neighborhood selection during the process of graph construction. To demonstrate the effectiveness of our proposed algorithm, we present our experimental results on several commonly-used datasets using two different ranking strategies: one is based on Euclidean metric, and another is based on diffusion metric.

Original languageEnglish
Title of host publicationAdvances in Knowledge Discovery and Data Mining - 20th Pacific-Asia Conference, PAKDD 2016, Proceedings
EditorsJames Bailey, Latifur Khan, Takashi Washio, Gillian Dobbie, Joshua Zhexue Huang, Ruili Wang
PublisherSpringer Verlag
Pages309-321
Number of pages13
ISBN (Print)9783319317496
DOIs
StatePublished - 2016
Externally publishedYes
Event20th Pacific-Asia Conference on Advances in Knowledge Discovery and Data Mining, PAKDD 2016 - Auckland, New Zealand
Duration: 19 Apr 201622 Apr 2016

Publication series

NameLecture Notes in Computer Science
Volume9652 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference20th Pacific-Asia Conference on Advances in Knowledge Discovery and Data Mining, PAKDD 2016
Country/TerritoryNew Zealand
CityAuckland
Period19/04/1622/04/16

Keywords

  • Clustering
  • Sparse graph

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