D. Hardin

发表

Recurrent iterated function systems

M. Barnsley, J. Elton, D. Hardin, 1989 .

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

Constantin F. Aliferis, Alexander Statnikov, Isabelle Guyon, 2011 .

Using SVM Weight-Based Methods to Identify Causally Relevant and Non-Causally Relevant Variables

D. Hardin, A. Statnikov, C. Aliferis, 2006 .

A Gentle Introduction to Support Vector Machines in Biomedicine:Volume 2: Case Studies and Benchmarks

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2012 .

Discretizing Manifolds via Minimum Energy Points

E. Saff, D. Hardin, 2004 .

Fractal Functions and Wavelet Expansions Based on Several Scaling Functions

D. Hardin, J. Geronimo, P. Massopust, 1994 .

Minimal Riesz Energy Point Configurations for Rectifiable d-Dimensional Manifolds

E. Saff, D. Hardin, 2003, math-ph/0311024.

Multiresolution analyses based on fractal functions

D. Hardin, P. Massopust, Bruce Kessler, 1992 .

Intertwining multiresolution analyses and the construction of piecewise-polynomial wavelets

George C. Donovan, D. Hardin, J. Geronimo, 1996 .

Construction of Orthogonal Wavelets Using Fractal Interpolation Functions

George C. Donovan, D. Hardin, J. Geronimo, 1996 .

A class of orthogonal multiresolution analyses in 2D

George C. Donovan, D. Hardin, J. Geronimo, 1995 .

Fractal Surfaces, Multiresolution Analyses and Wavelet Transforms

D. Hardin, J. Geronimo, P. Massopust, 1994 .

Biorthogonal Multiwavelets on [−1, 1]

D. Hardin, Jeffrey A. Marasovich, 1999 .

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

D. Hardin, D. Roach, D. W. Roach, 1998 .

A Gentle Introduction to Support Vector Machines in Biomedicine: Case Studies

Constantin F. Aliferis, Douglas P Hardin, Isabelle Guyon, 2011 .

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

E. Saff, D. Hardin, J. Brauchart, 2012, 1202.4037.

Energy bounds for codes in polynomial metric spaces

E. Saff, D. Hardin, P. Boyvalenkov, 2018, Analysis and Mathematical Physics.

A Sharp Balian-Low Uncertainty Principle for Shift-Invariant Spaces

D. Hardin, A. Powell, V. MichaelC.Northington, 2015, 1510.04855.

Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets

D. Hardin, J. Geronimo, G. C. Dnovan, 1999 .

AUTOMATIC CANCER DIAGNOSTIC DECISION SUPPORT SYSTEM FOR GENE EXPRESSION DOMAIN By

Constantin F. Aliferis, Alexander Statnikov, Ioannis Tsamardinos, 2005 .

Modern Trends in Constructive Function Theory

D. Hardin, D. Lubinsky, B. Simanek, 2016 .

Unconstrained Polarization (Chebyshev) Problems: Basic Properties and Riesz Kernel Asymptotics

E. Saff, D. Hardin, Mircea Petrache, 2019, Potential Analysis.

Optimal discrete measures for Riesz potentials

E. Saff, D. Hardin, A. Reznikov, 2016, 1606.04128.

Support of the logarithmic equilibrium measure on sets of revolution in R3

Edward B. Saff, Douglas P. Hardin, E. Saff, 2007 .

The capacity for a class of fractal functions

Douglas P. Hardin, Peter R. Massopust, D. Hardin, 1986 .

Ieee Transactions on Circuits and Systems Ii 1 Multiwavelet Preelters I: Orthogonal Preelters Preserving Approximation Order P 2

D. Hardin, David W. RoachDepartment, 1997 .

Mesh ratios for best-packing and limits of minimal energy configurations

E. Saff, D. Hardin, A. Bondarenko, 2012, 1212.6211.

Constrained minimum Riesz energy problems for a condenser with intersecting plates

E. Saff, D. Hardin, B. Fuglede, 2017, Journal d'Analyse Mathématique.

Novelty Detection with SVM-Based Methods

Alexander Statnikov, Douglas P Hardin, Isabelle Guyon, 2011 .

Application and Comparison of SVMs and Other Methods for Multicategory Classification in Microbiomics (Contributed by Mikael Henaff, Kranti Konganti, Varun Narendra, Alexander V. Alekseyenko)

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

A Comparison of Popular Point Configurations on $\mathbb{S}^2$

E. Saff, D. Hardin, T. Michaels, 2016, 1607.04590.

A Gentle Introduction to Support Vector Machines in Biomedicine: Volume 1: Theory and MethodsVolume 2: Case Studies and Benchmarks

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Basic Principles of Statistical Machine Learning

Alexander Statnikov, Douglas P Hardin, Isabelle Guyon, 2011 .

Asymptotics of weighted best-packing on rectifiable sets

E. Saff, D. Hardin, S. Borodachov, 2008 .

Application and Comparison of SVMs and Other Methods for Multicategory Microarray-Based Cancer Classification

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Minimal -point diameters and -best-packing constants in ℝ^{}

E. Saff, D. Hardin, A. Bondarenko, 2013 .

Multivariate nonhomogeneous refinement equations

Douglas P. Hardin, Thomas B. Dinsenbacher, D. Hardin, 1999 .

ORTHOGONAL MACROELEMENT SCALING VECTORS AND WAVELETS IN 1-D

D. Hardin, Bruce Kessler, 2003 .

Support Vector Machines (SVMs) for Binary Classification: Classical Formulation

Alexander Statnikov, Douglas P Hardin, Isabelle Guyon, 2011 .

Using SVMs for Causal Variable Selection

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Universal upper and lower bounds on energy of spherical designs

E. Saff, D. Hardin, P. Boyvalenkov, 2015, 1509.07837.

Universal Lower Bounds for Potential Energy of Spherical Codes

E. Saff, D. Hardin, P. Boyvalenkov, 2015, Constructive Approximation.

Computing Posterior Class Probabilities for SVM Classifiers

Alexander Statnikov, Douglas P Hardin, Isabelle Guyon, 2011 .

THE SUPPORT OF THE LOGARITHMIC EQUILIBRIUM MEASURE ON SETS OF REVOLUTION IN R 3

E. Saff, D. Hardin, And H. Stahl, 2005 .

Riesz Energy and Sets of Revolution in R 3

E. Saff, D. Hardin, J. Brauchart, 2008 .

Renable Shift Invariant Spaces of Spline Functions

D. Hardin, T. Goodman, 2004 .

Model Selection for SVMs

Alexander Statnikov, Douglas P Hardin, Isabelle Guyon, 2011 .

SVM-Based Variable Selection

Alexander Statnikov, Douglas P Hardin, Isabelle Guyon, 2011 .

Comparison of SVMs and Kernel Ridge Regression for Microarray-Based Cancer Classification (Contributed by Zhiguo Li)

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Application and Comparison of SVM-RFE and GLL Methods for Variable Selection for Classification

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Wavelets centered on a knot sequence: piecewise polynomial wavelets on a quasi-crystal lattice

Derek O. Bruff, B. W. Atkinson, D. Hardin, 2011, 1102.4246.

Asymptotic properties of short-range interaction functionals

E. Saff, D. Hardin, O. Vlasiuk, 2020, 2010.11937.

Local properties of Riesz minimal energy configurations and equilibrium measures

E. Saff, D. Hardin, A. Volberg, 2017, 1707.03926.

Upper bounds for energies of spherical codes of given cardinality and separation

E. Saff, D. Hardin, P. Boyvalenkov, 2019, Designs, Codes and Cryptography.

Wavelets are Piecewise Fractal Interpolation Functions

D. Hardin, 2002 .

Wavelets Centered on a Knot Sequence: Theory, Construction, and Applications

Derek O. Bruff, D. Hardin, J. Geronimo, 2011, Journal of Fourier Analysis and Applications.

Archetype tasks link intratumoral heterogeneity to plasticity and cancer hallmarks in small cell lung cancer.

Gabor T. Marth, Alissa M. Weaver, G. Marth, 2022, Cell systems.

Multiwavelet Prefilters—Part II:

D. Hardin, D. Wilkes, K. Attakitmongcol, 2001 .

Support of the logarithmic equilibrium measure on sets of revolution in R3

E. Saff, D. Hardin, H. Stahl, 2006, math-ph/0605034.

On polarization of spherical codes and designs

E. Saff, D. Hardin, P. Boyvalenkov, 2022, Journal of Mathematical Analysis and Applications.

SVMs for Multi-Category Classification

Alexander Statnikov, Douglas P Hardin, Isabelle Guyon, 2011 .

Application and Comparison of SVMs and Other Methods for Identifying Drug–Drug Interactions-Related Literature (Contributed by Stephany Duda)

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Application and Comparison of SVMs and Other Methods for Retrieving High-Quality Content-Specific Articles (Contributed by Yindalon Aphinyanaphongs)

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Application and Comparison of SVMs and Other Methods for Identifying Unproven Cancer Treatments on the Web (Contributed by Yindalon Aphinyanaphongs)

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Comparison of SVMs and Random Forests for Microarray-Based Cancer Classification

Constantin F. Aliferis, Alexander Statnikov, Douglas P Hardin, 2013 .

Wavelets Centered on a Knot Sequence: Theory, Construction, and Applications

D. Hardin, J. Geronimo, D. Bruff, 2014, Journal of Fourier Analysis and Applications.

Condensers with Touching Plates and Constrained Minimum Riesz and Green Energy Problems

E. Saff, D. Hardin, B. Fuglede, 2019, Constructive Approximation.

Low Complexity Methods For Discretizing Manifolds Via Riesz Energy Minimization

E. Saff, D. Hardin, S. Borodachov, 2014, Foundations of Computational Mathematics.

Universal minima of discrete potentials for sharp spherical codes

E. Saff, D. Hardin, P. Boyvalenkov, 2022, 2211.00092.

Optimal Shift Invariant Spaces and Their Parseval Generators

D. Hardin, A. Aldroubi, C. Cabrelli, 2006, math/0606295.

Inverse Potential Problems for Divergence of Measures with Total Variation Regularization

E. Saff, D. Hardin, L. Baratchart, 2019, Foundations of Computational Mathematics.

Upper bounds for energies of spherical codes of given cardinality and separation

E. Saff, D. Hardin, P. Dragnev, 2020, Designs, Codes and Cryptography.

Large Deviation Principles for Hypersingular Riesz Gases

E. Saff, D. Hardin, S. Serfaty, 2018, Constructive Approximation.

Discrete Minimum Energy Problems

D. Hardin, 2009 .

Unconstrained Polarization (Chebyshev) Problems: Basic Properties and Riesz Kernel Asymptotics

E. Saff, D. Hardin, M. Petrache, 2020, Potential Analysis.

Research Paper: Text Categorization Models for High-Quality Article Retrieval in Internal Medicine

Yindalon Aphinyanagphongs, Constantin F. Aliferis, Ioannis Tsamardinos, 2004, J. Am. Medical Informatics Assoc..

Dimensions associated with recurrent self-similar sets

D. Hardin, R. Shonkwiler, J. Geronimo, 1991, Mathematical Proceedings of the Cambridge Philosophical Society.

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

Constantin F. Aliferis, Ioannis Tsamardinos, Alexander R. Statnikov, 2004, Bioinform..

Machine learning models for lung cancer classification using array comparative genomic hybridization

Constantin F. Aliferis, Douglas P. Hardin, Pierre P. Massion, 2002, AMIA.

On the Search for Tight Frames of Low Coherence pdf

Edward B. Saff, Douglas P. Hardin, Xuemei Chen, 2020, Journal of Fourier Analysis and Applications.

Refinable Multivariate Spline Functions

Tim N. T. Goodman, Doug Hardin, D. Hardin, 2006 .

Magnetic moment estimation and bounded extremal problems

E. A. Lima, D. Hardin, J. Leblond, 2019, Inverse Problems & Imaging.

Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions

Laurent Baratchart, Edward B. Saff, Douglas P. Hardin, 2012 .

Support Vector Regression (SVR)

D. Hardin, A. Statnikov, C. Aliferis, 2011 .

Inverse potential problems in divergence form for measures in the plane

Laurent Baratchart, Douglas P. Hardin, Cristóbal Villalobos Guillén, 2021, ESAIM: Control, Optimisation and Calculus of Variations.

Machine Learning Models for Classification of Lung Cancer and Selection of Genomic Markers Using Array Gene Expression Data

Constantin F. Aliferis, Ioannis Tsamardinos, Alexander R. Statnikov, 2003, FLAIRS.

Discrete Energy on Rectifiable Sets

Douglas P Hardin, Edward B. Saff, Sergiy V. Borodachov, 2019, Springer Monographs in Mathematics.

Asymptotics of best-packing on rectifiable sets

E. Saff, D. Hardin, E. B. Saff, 2006, math-ph/0605021.

The Matrix-Valued Riesz Lemma and Local Orthonormal Bases in Shift-Invariant Spaces

Qiyu Sun, Thomas A. Hogan, Douglas P. Hardin, 2004, Adv. Comput. Math..

Multiwavelet prefilters. II. Optimal orthogonal prefilters

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

Multiwavelet Pre lters II : Optimal orthogonal pre ltersK

D. Hardin, .. Attakitmongcol, M. D, 1999 .

Discretizing Manifolds via Minimum Energy Points

E. Saff, D. Hardin, 2004 .

On spherical codes with inner products in a prescribed interval

Maya Stoyanova, Peter Boyvalenkov, Edward B. Saff, 2018, Des. Codes Cryptogr..

A Mandelbrot set whose boundary is piecewise smooth

M. Barnsley, D. Hardin, 1989 .

Fast inversion of magnetic field maps of unidirectional planar geological magnetization

Laurent Baratchart, Edward B. Saff, Douglas P. Hardin, 2013 .

The Riesz energy of the Nth roots of unity: an asymptotic expansion for large N

E. Saff, D. Hardin, J. Brauchart, 2008, 0808.1291.

Constrained minimum Riesz energy problems for a condenser with intersecting plates

E. Saff, D. Hardin, B. Fuglede, 2020, Journal d'Analyse Mathématique.

Condensers with Touching Plates and Constrained Minimum Riesz and Green Energy Problems

E. Saff, D. Hardin, B. Fuglede, 2017, Constructive Approximation.

Generating Point Configurations via Hypersingular Riesz Energy with an External Field

Edward B. Saff, Douglas P. Hardin, O. V. Vlasiuk, 2016, SIAM J. Math. Anal..

Minimum Riesz Energy Problems for a Condenser with Touching Plates

E. Saff, D. Hardin, B. Fuglede, 2015, Potential Analysis.

Minimum Riesz Energy Problems for a Condenser with Touching Plates

E. Saff, D. Hardin, B. Fuglede, 2015, 1504.03805.

A Comparison of Popular Point Configurations on S^2

Edward B. Saff, T. J. Michaels, E. Saff, 2016 .

Optimal shift invariant spaces and their Parseval frame generators

Akram Aldroubi, Carlos Cabrelli, Ursula Molter, 2007 .

DISCRETE ENERGY ASYMPTOTICS ON A RIEMANNIAN CIRCLE

E. Saff, D. Hardin, J. Brauchart, 2009, 0912.4720.

Energy bounds for codes in polynomial metric spaces

E. Saff, D. Hardin, P. Dragnev, 2019, Analysis and Mathematical Physics.

Energy bounds for codes and designs in Hamming spaces

E. Saff, D. Hardin, P. Dragnev, 2016, Designs, Codes and Cryptography.

Energy bounds for codes and designs in Hamming spaces

Maya Stoyanova, Peter Boyvalenkov, Edward B. Saff, 2015, Designs, Codes and Cryptography.

Polarization Optimality of Equally Spaced Points on the Circle for Discrete Potentials

E. Saff, D. Hardin, Amos P. Kendall, 2013, Discrete & Computational Geometry.

Polarization Optimality of Equally Spaced Points on the Circle for Discrete Potentials

Edward B. Saff, Douglas P. Hardin, Amos P. Kendall, 2012, Discret. Comput. Geom..

Divergence-Free Measures in the Plane and Inverse Potential Problems in Divergence Form

D. Hardin, L. Baratchart, C. Villalobos-Guill'en, 2020, 2006.09072.

Refinable subspaces of a refinable space

Thomas A. Hogan, Douglas P. Hardin, D. Hardin, 1999 .

Design of prefilters for discrete multiwavelet transforms

Xiang-Gen Xia, Bruce W. Suter, Douglas P. Hardin, 1996, IEEE Trans. Signal Process..

Hidden variable fractal interpolation functions

Michael F. Barnsley, Douglas P. Hardin, Peter R. Massopust, 1989 .

Periodic discrete energy for long-range potentials

Brian Simanek, E. Saff, D. Hardin, 2014, 1403.7505.

Fractal Interpolation Surfaces and a Related 2-D Multiresolution Analysis

Douglas P. Hardin, D. Hardin, J. Geronimo, 1993 .

Fractal Interpolation Functions from $R^n$ into $R^m$ and their Projections

Douglas P. Hardin, Peter R. Massopust, D. Hardin, 1993 .

A comparison of dispersal strategies for survival of spatially heterogeneous populations

Douglas P. Hardin, Glenn F. Webb, Peter Takáč, 1988 .

Asymptotic properties of a continuous-space discrete-time population model in a random environment

Douglas P. Hardin, Glenn F. Webb, D. Hardin, 1988 .

Dispersion population models discrete in time and continuous in space

D. Hardin, G. Webb, P. Takáč, 1990, Journal of mathematical biology.

A Thousand Points of Light

G. Strang, D. Hardin, 1990 .

Inverse Potential Problems for Divergence of Measures with Total Variation Regularization

Laurent Baratchart, Edward B. Saff, Douglas P. Hardin, 2018, Foundations of Computational Mathematics.

Solution of an inverse problem for fractals and other sets.

M. Barnsley, D. Hardin, V. Ervin, 1986, Proceedings of the National Academy of Sciences of the United States of America.

Eigenfunctions of the Fourier transform with specified zeros

D. Hardin, P. Grabner, A. Feigenbaum, 2019, Mathematical Proceedings of the Cambridge Philosophical Society.

Bounds for Periodic Energy and the Optimality of Two Periodic Point Configurations in the Plane

D. Hardin, Nathan Tenpas, 2023, 2307.15822.

Mesh ratios for best-packing and limits of minimal energy configurations

E. Saff, D. Hardin, A. Bondarenko, 2013, Acta Mathematica Hungarica.

Quasi-uniformity of minimal weighted energy points on compact metric spaces

Edward B. Saff, Douglas P. Hardin, J. Tyler Whitehouse, 2011, J. Complex..

Observed Asymptotic Differences in Energies of Stable and Minimal Point Configurations on $\mathbb{S}^2$ and the Role of Defects

D. Hardin, C. Fichtl, M. Calef, 2013, 1307.0409.

Bounds for spherical codes: The Levenshtein framework lifted

E. Saff, D. Hardin, P. Boyvalenkov, 2019, Math. Comput..

Estimating the Net Magnetic Moment of Geological Samples From Planar Field Maps Using Multipoles

E. A. Lima, D. Hardin, L. Baratchart, 2023, Geochemistry, Geophysics, Geosystems.

Low Complexity Methods For Discretizing Manifolds Via Riesz Energy Minimization

Edward B. Saff, Douglas P. Hardin, Sergiy V. Borodachov, 2013, Found. Comput. Math..

Riesz s-Equilibrium Measures on d-Rectifiable Sets as s Approaches d

D. Hardin, D. P. Hardin, M. T. Calef, 2008, 0808.3802.

Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets

E. Saff, D. Hardin, E. B. Saff, 2006, math-ph/0602025.

C0 spline wavelets with arbitrary approximation order

Douglas P. Hardin, Jeffrey S. Geronimo, George C. Donovan, 1995, Optics + Photonics.

Universal Bounds for Size and Energy of Codes of Given Minimum and Maximum Distances pdf

Peter Boyvalenkov, Peter Dragnev, Edward Saff, 2019, IEEE Transactions on Information Theory.

Linear Programming Bounds for Cardinality and Energy of Codes of Given Min and Max Distances

Peter Boyvalenkov, Peter Dragnev, Edward Saff, 2019, 2019 IEEE International Symposium on Information Theory (ISIT).

Asymptotics of k-nearest Neighbor Riesz Energies

E. Saff, D. Hardin, O. Vlasiuk, 2022, Constructive Approximation.

Optimal prefilters for the multiwavelet filter banks

D. Mitchell Wilkes, Kitti Attakitmongcol, Douglas P. Hardin, 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

Why and how prefiltering for discrete multiwavelet transforms

Xiang-Gen Xia, Bruce W. Suter, Douglas P. Hardin, 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

Computations of multiwavelet transforms

Xiang-Gen Xia, Bruce W. Suter, Douglas P. Hardin, 1995, Optics + Photonics.

Large Deviation Principles for Hypersingular Riesz Gases

E. Saff, D. Hardin, S. Serfaty, 2017, 1702.02894.