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Mathematics

D-Index
34
Citations
7840
World Ranking
2852
National Ranking
1161

Overview

Douglas P. Hardin is affiliated with Vanderbilt University in the United States. Their primary field of study is Mathematics, with a focus on Numerical Analysis, Applied Mathematics, Mathematical Physics, Computational Mechanics, and Geophysics. This body of work spans 43 publications across these disciplines.

The main topics of their research encompass Mathematical Approximation and Integration, Coding Theory and Cryptography, Markov Chains and Monte Carlo Methods, Numerical Methods in Inverse Problems, Mathematical Analysis and Transform Methods, Sparse and Compressive Sensing Techniques, and Seismic Imaging and Inversion Techniques.

Hardin's publication record includes papers in several notable venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Designs Codes and Cryptography
  • Potential Analysis
  • Cell Systems
  • Journal of Fourier Analysis and Applications

Recent research contributions feature the following papers:

  • "Archetype tasks link intratumoral heterogeneity to plasticity and cancer hallmarks in small cell lung cancer" (2022), published in Cell Systems
  • "On the Search for Tight Frames of Low Coherence" (2020), published in Journal of Fourier Analysis and Applications
  • "On polarization of spherical codes and designs" (2023), published in Journal of Mathematical Analysis and Applications
  • "Estimating the Net Magnetic Moment of Geological Samples From Planar Field Maps Using Multipoles" (2023), published in Geochemistry Geophysics Geosystems
  • "Constrained minimum Riesz energy problems for a condenser with intersecting plates" (2020), published in Journal d Analyse Mathématique

Collaboration forms an important aspect of Hardin's research career. Frequent coauthors include:

  • Edward B. Saff
  • Peter D Dragnev
  • Peter Boyvalenkov
  • Maya Stoyanova
  • Laurent Baratchart

Best Publications

  • Fractal Functions and Wavelet Expansions Based on Several Scaling Functions

    J.S. Geronimo;D.P. Hardin;P.R. Massopust

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

    Alexander Statnikov;Constantin F. Aliferis;Ioannis Tsamardinos;Douglas Hardin

  • Construction of Orthogonal Wavelets Using Fractal Interpolation Functions

    George Donovan;Jeffrey Stephen Geronimo;Douglas P. Hardin;Peter R. Massopust

  • Design of prefilters for discrete multiwavelet transforms

    X.-G. Xia;J.S. Geronimo;D.P. Hardin;B.W. Suter

  • Solution of an inverse problem for fractals and other sets.

    M. F. Barnsley;V. Ervin;D. Hardin;J. Lancaster

  • Recurrent iterated function systems

    Michael F. Barnsley;John H. Elton;Douglas P. Hardin

  • Hidden variable fractal interpolation functions

    M. F. Barnsley;J. Elton;D. Hardin;P. Massopust

  • Text Categorization Models for High-Quality Article Retrieval in Internal Medicine

    Yindalon Aphinyanaphongs;Ioannis Tsamardinos;Alexander R. Statnikov;Douglas P. Hardin

  • Discrete Energy on Rectifiable Sets

    Sergiy V. Borodachov;Douglas P. Hardin;Edward B. Saff

  • Intertwining multiresolution analyses and the construction of piecewise-polynomial wavelets

    George C. Donovan;Jeffrey S. Geronimo;Douglas P. Hardin

  • Minimal Riesz Energy Point Configurations for Rectifiable d-Dimensional Manifolds

    D.P. Hardin;E.B. Saff

  • Multiwavelet prefilters. 1. Orthogonal prefilters preserving approximation order p/spl les/2

    D.P. Hardin;D.W. Roach

  • Fractal Interpolation Surfaces and a Related 2-D Multiresolution Analysis

    J.S. Geronimo;D. Hardin

  • Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets

    G. C. Dnovan;J. S. Geronimo;D. P. Hardin

  • Biorthogonal Multiwavelets on [−1, 1]

    Douglas P. Hardin;Jeffrey A. Marasovich

  • The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere

    Johann Brauchart;Douglas P. Hardin;Edward B. Saff

  • Multiwavelet prefilters. II. Optimal orthogonal prefilters

    K. Attakitmongcol;D.P. Hardin;D.M. Wilkes

  • Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets

    S. V. Borodachov;S. V. Borodachov;D. P. Hardin;E. B. Saff

  • Multiresolution analyses based on fractal functions

    Douglas P. Hardin;Bruce Kessler;Peter R. Massopust

  • A gentle introduction to support vector machines in biomedicine: Volume 1: Theory and methods

    Alexander Statnikov;Constantin F Aliferis;Douglas P Hardin;Isabelle Guyon

  • A theoretical characterization of linear SVM-based feature selection

    Douglas Hardin;Ioannis Tsamardinos;Constantin F. Aliferis

Frequent Co-Authors

Edward B. Saff
Edward B. Saff Vanderbilt University
Constantin F. Aliferis
Constantin F. Aliferis University of Minnesota
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Isabelle Guyon
Isabelle Guyon University of Paris-Saclay
Ioannis Tsamardinos
Ioannis Tsamardinos University of Crete
Alexander Statnikov
Alexander Statnikov Vanderbilt University
Sylvia Serfaty
Sylvia Serfaty Courant Institute of Mathematical Sciences
Michael F. Barnsley
Michael F. Barnsley Australian National University
Xiang-Gen Xia
Xiang-Gen Xia University of Delaware

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