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Constructing Nonlinear Discriminants from Multiple Data Views

  • Tom Diethe*
  • , David Roi Hardoon
  • , John Shawe-Taylor
  • *Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

    36 Citations (Scopus)

    Abstract

    There are many situations in which we have more than one view of a single data source, or in which we have multiple sources of data that are aligned. We would like to be able to build classifiers which incorporate these to enhance classification performance. Kernel Fisher Discriminant Analysis (KFDA) can be formulated as a convex optimisation problem, which we extend to the Multiview setting (MFDA) and introduce a sparse version (SMFDA). We show that our formulations are justified from both probabilistic and learning theory perspectives. We then extend the optimisation problem to account for directions unique to each view (PMFDA). We show experimental validation on a toy dataset, and then give experimental results on a brain imaging dataset and part of the PASCAL 2007 VOC challenge dataset.

    Original languageEnglish
    Title of host publicationMACHINE LEARNING AND KNOWLEDGE DISCOVERY IN DATABASES, PT I
    EditorsJL Balcazar, F Bonchi, A Gionis, M Sebag
    Place of PublicationBERLIN
    PublisherSpringer Berlin Heidelberg
    Pages328-343
    Number of pages16
    Publication statusPublished - 2010
    EventEuropean Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases (ECML PKDD) - Barcelona, Spain
    Duration: 20 Sept 2010 → 24 Sept 2010

    Publication series

    NameLecture Notes in Artificial Intelligence
    PublisherSPRINGER-VERLAG BERLIN
    Volume6321
    ISSN (Print)0302-9743

    Conference

    ConferenceEuropean Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases (ECML PKDD)
    Country/TerritorySpain
    Period20/09/10 → 24/09/10

    Keywords

    • Fisher Discriminant Analysis
    • Convex Optimisation
    • Multiview Learning
    • Kernel methods

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