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- Dianne P O 'leary, Bert W Rust

Computing confidence intervals for functions b(x) wT"x, where Kx y + e and e is a normally distributed error vector, is a standard problem in multivariate statistics. In this work, we develop an algorithm for solving this problem if additional information, x-> 0, is given. Applications to estimating solutions to integral equations of the first kind are… (More)

- Dianne P O 'leary, Bert W Rust
- 2013

The variable projection algorithm of Golub and Pereyra (1973) has proven to be quite valuable in the solution of nonlinear least squares problems in which a substantial number of the parameters are linear. Its advantages are efficiency and, more importantly, a better likelihood of finding a global minimizer rather than a local one. The purpose of our work… (More)

This paper explores numerical techniques for comparing real and synthetic luminance images. We introduce components of a perceptually based metric using ideas from the image compression literature. We apply a series of metrics to a set of real and synthetic images, and discuss their performance. Finally, we conclude with suggestions for future work in… (More)

- Bert W Rust, Dianne P O 'leary, Katharine M Mullen, Victor Pereyra, Godela Scherer
- 2010

Type Ia supernova light curves are characterized by a rapid rise from zero luminosity to a peak value, followed by a slower quasi-exponential decline. The rise and peak last for a few days, while the decline persists for many months. It is widely believed that the decline is powered by the radioactive decay chain 56 Ni → 56 Co → 56 Fe, but the rates of… (More)

The variable projection algorithm of Golub and Pereyra (1973) has proven to be quite valuable in the solution of nonlinear least squares problems in which a substantial number of the parameters are linear. Its advantages are efficiency and, more importantly, a better likelihood of finding a global minimizer rather than a local one. The purpose of our work… (More)