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Green Image
Issue No. 01 - Jan. (2014 vol. 36)
ISSN: 0162-8828
pp: 33-47
Albert Gordo , LEAR Group, INRIA Grenoble Rhone-Alpes, Montbonnot, France
Florent Perronnin , Xerox Res. Centre Eur. (XRCE), Meylan, France
Yunchao Gong , Dept. of Comput. Sci., Univ. of North Carolina at Chapel Hill, Chapel Hill, NC, USA
Svetlana Lazebnik , Dept. of Comput. Sci., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
In large-scale query-by-example retrieval, embedding image signatures in a binary space offers two benefits: data compression and search efficiency. While most embedding algorithms binarize both query and database signatures, it has been noted that this is not strictly a requirement. Indeed, asymmetric schemes that binarize the database signatures but not the query still enjoy the same two benefits but may provide superior accuracy. In this work, we propose two general asymmetric distances that are applicable to a wide variety of embedding techniques including locality sensitive hashing (LSH), locality sensitive binary codes (LSBC), spectral hashing (SH), PCA embedding (PCAE), PCAE with random rotations (PCAE-RR), and PCAE with iterative quantization (PCAE-ITQ). We experiment on four public benchmarks containing up to 1M images and show that the proposed asymmetric distances consistently lead to large improvements over the symmetric Hamming distance for all binary embedding techniques.
Principal component analysis, Euclidean distance, Vectors, Kernel, Matrix decomposition, Quantization (signal), Algorithm design and analysis

A. Gordo, F. Perronnin, Yunchao Gong and S. Lazebnik, "Asymmetric Distances for Binary Embeddings," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 36, no. 1, pp. 33-47, 2013.
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