Search Results for author: Sivaram Ambikasaran

Found 3 papers, 3 papers with code

Fast and scalable Gaussian process modeling with applications to astronomical time series

3 code implementations28 Mar 2017 Daniel Foreman-Mackey, Eric Agol, Sivaram Ambikasaran, Ruth Angus

We present a mathematical description of the method and compare it to existing scalable Gaussian Process methods.

Instrumentation and Methods for Astrophysics Earth and Planetary Astrophysics Solar and Stellar Astrophysics Data Analysis, Statistics and Probability Applications

Fast symmetric factorization of hierarchical matrices with applications

1 code implementation1 May 2014 Sivaram Ambikasaran, Michael O'Neil, Karan Raj Singh

This factorization can be computed in $\mathcal{O}(n)$ time if the rank of the perturbation is sufficiently small.

Numerical Analysis Numerical Analysis Fluid Dynamics Computation

Fast Direct Methods for Gaussian Processes

2 code implementations24 Mar 2014 Sivaram Ambikasaran, Daniel Foreman-Mackey, Leslie Greengard, David W. Hogg, Michael O'Neil

In many cases, such as regression using Gaussian processes, the covariance matrix is of the form $C = \sigma^2 I + K$, where $K$ is computed using a specified covariance kernel which depends on the data and additional parameters (hyperparameters).

Numerical Analysis Instrumentation and Methods for Astrophysics Statistics Theory Statistics Theory

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