Cited by 312Topological and Geometric Data AnalysisFace and Expression RecognitionMathematical Analysis and Transform Methods

Data Fusion and Multicue Data Matching by Diffusion Maps

Lafon, S., Keller, Y., Coifman, R.R.·2006·IEEE Transactions on Pattern Analysis and Machine Intelligence

Abstract

Data fusion and multicue data matching are fundamental tasks of high-dimensional data analysis. In this paper, we apply the recently introduced diffusion framework to address these tasks. Our contribution is three-fold: First, we present the Laplace-Beltrami approach for computing density invariant embeddings which are essential for integrating different sources of data. Second, we describe a refinement of the Nyström extension algorithm called "geometric harmonics." We also explain how to use this tool for data assimilation. Finally, we introduce a multicue data matching scheme based on nonlinear spectral graphs alignment. The effectiveness of the presented schemes is validated by applying it to the problems of lipreading and image sequence alignment.

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Crossref · 10.1109/tpami.2006.223

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  • Diffusion maps transform data from high dimensional gene expression space to a space of much lower dimensions, where usual Euclidean distance is reflective of the cellular phenotypic distance.

    “Essentially, they transform data from high dimensional gene expression space to a space of much lower dimensions, where usual Euclidean distance is reflective of the cellular phenotypic distance.”

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Authors
Lafon, S., Keller, Y., & Coifman, R. R.
Affiliations
  • Google (United States) (US)
  • Yale University (US)
Venue
IEEE Transactions on Pattern Analysis and Machine Intelligence
Published
2006-11
Volume
28
Issue
11
Pages
1784-1797
ISSN
  • 0162-8828 (ISSN-L)
  • 2160-9292
OpenAlex
W2108759471
Cited by
312
References
43
Citations by year
2026: 2 · 2025: 6 · 2024: 4 · 2023: 14 · 2022: 11 · 2021: 13 · 2020: 19 · 2019: 15 · 2018: 15 · 2017: 20 · 2016: 21 · 2015: 21 · 2014: 21 · 2013: 24 · 2012: 17
FWCI
18.17
Type
journal article
Language
en
Open access
closed
Locations
  • IEEE Transactions on Pattern Analysis and Machine Intelligence (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Topological and Geometric Data Analysis
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Face and Expression Recognition
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
Keywords
diffusion maps, data fusion, Nyström extension, data assimilation, lip reading
MeSH terms
Algorithms, Artificial Intelligence, Image Enhancement, Image Interpretation, Computer-Assisted, Pattern Recognition, Automated, Subtraction Technique, Cluster Analysis, Databases, Factual, Information Storage and Retrieval

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