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- Alexander R. Statnikov, Constantin F. Aliferis, Ioannis Tsamardinos, Douglas P. Hardin, Shawn Levy
- Bioinformatics
- 2005

MOTIVATION
Cancer diagnosis is one of the most important emerging clinical applications of gene expression microarray technology. We are seeking to develop a computer system for powerful and reliableâ€¦ (More)

- Xiang-Gen Xia, Jeffrey S. Geronimo, Douglas P. Hardin, Bruce W. Suter
- IEEE Trans. Signal Processing
- 1996

The pyramid algorithm for computing single wavelet transform coefficients is well known. The pyramid algorithm can be implemented by using tree-structured multirate filter banks. In this paper, weâ€¦ (More)

There are a variety of needs for the discretization of a manifoldâ€”statistical sampling, quadrature rules, starting points for Newtonâ€™s method, computer-aided design, interpolation schemes, finiteâ€¦ (More)

We investigate the energy of arrangements of N points on a rectifiable d-dimensional manifold A âŠ‚ Rd that interact through the power law (Riesz) potential V = 1/rs, where s > 0 and r is Euclideanâ€¦ (More)

- Kitti Attakitmongcol, Douglas P. Hardin, D. Mitchell Wilkes
- IEEE Trans. Image Processing
- 2001

Prefiltering a given discrete signal has been shown to be an essential and necessary step in applications using unbalanced multiwavelets. In this paper, we develop two methods to obtain optimalâ€¦ (More)

Orthogonal polynomials are used to construct families of C0 and C1 orthogonal, compactly supported spline multiwavelets. These families are indexed by an integer which represents the order ofâ€¦ (More)

We survey known results and present estimates and conjectures for the next-order term in the asymptotics of the optimal logarithmic energy and Riesz s-energy of N points on the unit sphere in Rd+1, dâ€¦ (More)

Given a closed d-rectifiable set A embedded in Euclidean space, we investigate minimal weighted Riesz energy points on A; that is, N points constrained to A and interacting via the weighted power lawâ€¦ (More)

We derive the complete asymptotic expansion in terms of powers of N for the Riesz s-energy of N equally spaced points on the unit circle as N â†’âˆž. For s â‰¥ âˆ’2, such points form optimal energy N -pointâ€¦ (More)

- Douglas P. Hardin, Jeffrey A. Marasovich
- 1997

A procedure is given for constructing univariate compactly supported, biorthogonal multiwavelets from biorthogonal scaling vectors with support in [ 21, 1]. A family of biorthogonal scaling vectorsâ€¦ (More)