**In this work, we propose a new technique for fast k-nearest neighbor (k-NN) classification in which the original database is represented via a small set of learned binary prototypes. The training phase simultaneously learns a hash function which maps the data points to binary codes, and a set of representative binary prototypes. In the prediction phase, we first hash the query into a binary code and then do the k-NN classification using the binary prototypes as the database. Our approach speeds up k-NN classification in two aspects. First, we compress the database into a smaller set of prototypes such that k-NN search only goes through a smaller set rather than the whole dataset. Second, we reduce the original space to a compact binary embed- ding, where the Hamming distance between two binary codes is very efficient to compute. We propose a formulation to learn the hash function and prototypes such that the classification error is minimized. We also provide a novel theoretical analysis of the proposed technique in terms of Bayes error consistency. Empirically, our method is much faster than the state-of-the-art k-NN compression meth- ods with comparable accuracy.**

*Abstract:**Topics:*- Big Data

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### Citation

- Fast Classification with Binary Prototypes (pdf, software)

K. Zhong, R. Guo, S. Kumar, B. Yan, D. Simcha, I. Dhillon.

In*International Conference on Artificial Intelligence and Statistics (AISTATS)*, 2017.*Bibtex:*