113 citations · 328 across the 16 of their papers we have counts for
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A Category Space Approach to Supervised Dimensionality Reduction
Anthony O. Smith, Anand Rangarajan
Supervised dimensionality reduction has emerged as an important theme in the last decade. Despite the plethora of models and formulations, there is a lack of a simple model which a…
Gradient density estimation in arbitrary finite dimensions using the method of stationary phase
Karthik S. Gurumoorthy, Anand Rangarajan, John Corring
We prove that the density function of the gradient of a sufficiently smooth function , obtained via a random variable transformati…
An application of the stationary phase method for estimating probability densities of function derivatives
Karthik S. Gurumoorthy, Anand Rangarajan, Arunava Banerjee
We prove a novel result wherein the density function of the gradients---corresponding to density function of the derivatives in one dimension---of a thrice differentiable function…
Distance Transform Gradient Density Estimation using the Stationary Phase Approximation
Karthik S. Gurumoorthy, Anand Rangarajan
The complex wave representation (CWR) converts unsigned 2D distance transforms into their corresponding wave functions. Here, the distance transform S(X) appears as the phase of th…