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TopSpin: TOPic Discovery via Sparse Principal Component INterference

  • Martin TakáčEmail author
  • Selin Damla Ahipaşaoğlu
  • Ngai-Man Cheung
  • Peter Richtárik
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 279)

Abstract

We propose a novel topic discovery algorithm for unlabeled images based on the bag-of-words (BoW) framework. We first extract a dictionary of visual words and subsequently for each image compute a visual word occurrence histogram. We view these histograms as rows of a large matrix from which we extract sparse principal components (PCs). Each PC identifies a sparse combination of visual words which co-occur frequently in some images but seldom appear in others. Each sparse PC corresponds to a topic, and images whose interference with the PC is high belong to that topic, revealing the common parts possessed by the images. We propose to solve the associated sparse PCA problems using an Alternating Maximization (AM) method, which we modify for the purpose of efficiently extracting multiple PCs in a deflation scheme. Our approach attacks the maximization problem in SPCA directly and is scalable to high-dimensional data. Experiments on automatic topic discovery and category prediction demonstrate encouraging performance of our approach. Our SPCA solver is publicly available.

Keywords

Sparse PCA Bag-of-words Topic discovery Hidden topic 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Martin Takáč
    • 1
    Email author
  • Selin Damla Ahipaşaoğlu
    • 2
  • Ngai-Man Cheung
    • 2
  • Peter Richtárik
    • 3
    • 4
    • 5
  1. 1.Lehigh UniversityBethlehemUSA
  2. 2.Singapore University of Technology and DesignSingaporeSingapore
  3. 3.King Abdullah University of Science and Technology (KAUST)ThuwalKingdom of Saudi Arabia
  4. 4.University of EdinburghEdinburghUK
  5. 5.Moscow Institute of Physics and TechnologyDolgoprudnyRussia

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