Simultaneous Compression and Quantization: A Joint Approach for Efficient Unsupervised Hashing
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The two most important requirements for unsupervised data-dependent hashing methods are to preserve similarity in the low-dimensional feature space and to minimize the binary quantization loss. Even though there are many hashing methods that have been proposed in the literature, there is room for improvement to address both requirements simultaneously and adequately. In this paper, we propose a novel approach, named Simultaneous Compression and Quantization (SCQ), to jointly learn to compress and binarize input data in a single formulation. A simple scale pre-processing is introduced to help to preserve data similarity. With this approach, we introduce a loss function and its relaxed version, termed Orthonormal Encoder (OnE) and Orthogonal Encoder (OgE) respectively, which involve the challenging binary and orthogonal constraints. We then propose novel algorithms that can effectively handle these challenging constraints. Comprehensive experiments on unsupervised image retrieval show that our proposed methods consistently outperform other state-of-the-art hashing methods while still being very computationally-efficient.
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