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Using Polynomial Kernel Support Vector Machines for Speaker Verification

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2 Author(s)
Yaman, S. ; Stat. Biometrics Group, IBM T. J. Watson Res. Center, Yorktown Heights, NY, USA ; Pelecanos, J.

In this letter, we propose a discriminative modeling approach for the speaker verification problem that uses polynomial kernel support vector machines (PK-SVMs). The proposed approach is rooted in an equivalence relationship between the state-of-the-art probabilistic linear discriminant analysis (PLDA) and second degree polynomial kernel methods. We present two techniques for overcoming the memory and computational challenges that PK-SVMs pose. The first of these, a kernel evaluation simplification trick, eliminates the need to explicitly compute dot products for a huge number of training samples. The second technique makes use of the massively parallel processing power of modern graphical processing units. We performed experiments on the Phase I speaker verification track of the DARPA sponsored Robust Automatic Transcription of Speech (RATS) program. We found that, in the multi-session enrollment experiments, second degree PK-SVMs outperformed PLDA across all tasks in terms of the official evaluation metric, and third and fourth degree PK-SVMs provided a performance improvement over the second degree PK-SVMs. Furthermore, for the “30s-30s” task, a linear score combination between the PLDA and PK-SVM based systems provided 27% improvement relative to the PLDA baseline in terms of the official evaluation metric.

Published in:

Signal Processing Letters, IEEE  (Volume:20 ,  Issue: 9 )