TY - GEN

T1 - Spectral hashing

AU - Weiss, Yair

AU - Torralba, Antonio

AU - Fergus, Rob

PY - 2009

Y1 - 2009

N2 - Semantic hashing[1] seeks compact binary codes of data-points so that the Hamming distance between codewords correlates with semantic similarity. In this paper, we show that the problem of finding a best code for a given dataset is closely related to the problem of graph partitioning and can be shown to be NP hard. By relaxing the original problem, we obtain a spectral method whose solutions are simply a subset of thresholded eigen- vectors of the graph Laplacian. By utilizing recent results on convergence of graph Laplacian eigenvectors to the Laplace-Beltrami eigenfunctions of manifolds, we show how to efficiently calculate the code of a novel data- point. Taken together, both learning the code and applying it to a novel point are extremely simple. Our experiments show that our codes outper- form the state-of-the art.

AB - Semantic hashing[1] seeks compact binary codes of data-points so that the Hamming distance between codewords correlates with semantic similarity. In this paper, we show that the problem of finding a best code for a given dataset is closely related to the problem of graph partitioning and can be shown to be NP hard. By relaxing the original problem, we obtain a spectral method whose solutions are simply a subset of thresholded eigen- vectors of the graph Laplacian. By utilizing recent results on convergence of graph Laplacian eigenvectors to the Laplace-Beltrami eigenfunctions of manifolds, we show how to efficiently calculate the code of a novel data- point. Taken together, both learning the code and applying it to a novel point are extremely simple. Our experiments show that our codes outper- form the state-of-the art.

UR - http://www.scopus.com/inward/record.url?scp=84858779327&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84858779327&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84858779327

SN - 9781605609492

T3 - Advances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference

SP - 1753

EP - 1760

BT - Advances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference

T2 - 22nd Annual Conference on Neural Information Processing Systems, NIPS 2008

Y2 - 8 December 2008 through 11 December 2008

ER -