Abstract
Symmetric Positive Definite (SPD) matrices in the form of region covariances are considered rich descriptors for images and videos. Recent studies suggest that exploiting the Riemannian geometry of the SPD manifolds could lead to improved performances for vision applications. For tasks involving processing large-scale and dynamic data in computer vision, the underlying model is required to progressively and efficiently adapt itself to the new and unseen observations. Motivated by these requirements, this paper studies the problem of online dictionary learning on the SPD manifolds. We make use of the Stein divergence to recast the problem of online dictionary learning on the manifolds to a problem in Reproducing Kernel Hilbert Spaces, for which, we develop efficient algorithms by taking into account the geometric structure of the SPD manifolds. To our best knowledge, our work is the first study that provides a solution for online dictionary learning on the SPD manifolds. Empirical results on both large-scale image classification task and dynamic video processing tasks validate the superior performance of our approach as compared to several state-of-the-art algorithms.
Original language | English |
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Title of host publication | Proceedings of the 29th AAAI Conference on Artificial Intelligence, AAAI 2015 and the 27th Innovative Applications of Artificial Intelligence Conference, IAAI 2015 |
Publisher | AAAI press |
Pages | 3165-3173 |
Number of pages | 9 |
ISBN (Print) | 9781577356981 |
DOIs | |
Publication status | Published - 1 Mar 2015 |
Event | 29th AAAI Conference on Artificial Intelligence, AAAI 2015 and the 27th Innovative Applications of Artificial Intelligence Conference, IAAI 2015 - Austin, United States, Austin, United States Duration: 25 Jan 2015 → 30 Jan 2015 https://ojs.aaai.org/index.php/AAAI/issue/view/304 https://ojs.aaai.org/index.php/AAAI/issue/view/483 |
Publication series
Name | Proceedings of the AAAI Conference on Artificial Intelligence |
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Number | 1 |
Volume | 29 |
ISSN (Print) | 2159-5399 |
ISSN (Electronic) | 2374-3468 |
Conference
Conference | 29th AAAI Conference on Artificial Intelligence, AAAI 2015 and the 27th Innovative Applications of Artificial Intelligence Conference, IAAI 2015 |
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Country/Territory | United States |
City | Austin |
Period | 25/01/15 → 30/01/15 |
Internet address |
Scopus Subject Areas
- Software
- Artificial Intelligence
User-Defined Keywords
- sparse coding
- online dictionary learning
- Symmetric Positive Definite Manifolds