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Douglas P. Hardin

Researcher at Vanderbilt University

Publications -  163
Citations -  5819

Douglas P. Hardin is an academic researcher from Vanderbilt University. The author has contributed to research in topics: Euclidean space & Measure (mathematics). The author has an hindex of 35, co-authored 158 publications receiving 5414 citations. Previous affiliations of Douglas P. Hardin include Georgia Institute of Technology & French Institute for Research in Computer Science and Automation.

Papers
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Journal ArticleDOI

A comprehensive evaluation of multicategory classification methods for microarray gene expression cancer diagnosis

TL;DR: A software system GEMS (Gene Expression Model Selector) that automates high-quality model construction and enforces sound optimization and performance estimation procedures is developed, the first such system to be informed by a rigorous comparative analysis of the available algorithms and datasets.
Journal ArticleDOI

Fractal Functions and Wavelet Expansions Based on Several Scaling Functions

TL;DR: In this paper, a method for constructing translation and dilation invariant functions spaces using fractal functions defined by a certain class of iterated function systems is presented, which generalize the C0 function spaces constructed in D. Hardin, B. Kessler, and P. R. Massopust.
Book ChapterDOI

Recurrent iterated function systems

TL;DR: In this paper, it was proved that under average contractivity, a convergence and ergodic theorem obtains, which extends the results of Barnsley and Elton [BE], and also proved that a Collage Theorem is true.
Journal ArticleDOI

Design of prefilters for discrete multiwavelet transforms

TL;DR: The authors propose a general algorithm to compute multi wavelet transform coefficients by adding proper premultirate filter banks before the vector filter banks that generate multiwavelets, which indicates that the energy compaction for discrete multiwavelet transforms may be better than the one for conventional discrete wavelet transforms.
Journal ArticleDOI

Construction of Orthogonal Wavelets Using Fractal Interpolation Functions

TL;DR: In this paper, a compactly supported continuous, orthogonal wavelet basis spanning L 2 (L 2 R ) was constructed by using fractional interpolation functions, which share many properties normally associated with spline wavelets, in particular linear phase.