Prof. S. P. Mercer, O.B.E

Prof. U. S. Nayak M.S., M.Ch., F.R.A.C.S.

Born in Vijayawada, to Dr. U.V Nayak, Professor of Anatomy at MMC, and Mrs. Sanjeevi Bai, Dr. Nayak graduated in medicine from MMC in 1954 and went on to pursue post‐graduation in general surgery from another prestigious institute, Stanley Medical College in 1959. He was the first batch pupil along with Dr. Mathangi Ramakrishnan, when the legendary Prof. C R Sunderarajan started the first M.Ch....

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OBE: Outlier by Example

Outlier detection in large datasets is an important problem. There are several recent approaches that employ very reasonable definitions of an outlier. However, a fundamental issue is that the notion of which objects are outliers typically varies between users or, even, datasets. In this paper, we present a novel solution to this problem, by bringing users into the loop. Our OBE (Outlier By Exa...

Density Estimation with Mercer Kernels

We present a new method for density estimation based on Mercer kernels. The density estimate can be understood as the density induced on a data manifold by a mixture of Gaussians fit in a feature space. As is usual, the feature space and data manifold are defined with any suitable positive-definite kernel function. We modify the standard EM algorithm for mixtures of Gaussians to infer the param...

Reproducing kernel Hilbert spaces and Mercer theorem

We characterize the reproducing kernel Hilbert spaces whose elements are p-integrable functions in terms of the boundedness of the integral operator whose kernel is the reproducing kernel. Moreover, for p = 2 we show that the spectral decomposition of this integral operator gives a complete description of the reproducing kernel.