Faculty

Institution

Unit

Venue

Doug Hardin

Professor of Mathematics Professor of Biomedical Informatics

Vanderbilt University

Affiliations

College of Arts and Science

Mathematics

School of Medicine

Department of Biomedical Informatics

Doug Hardin is currently serving as a College Of Arts And Science Professor of Mathematics Professor of Biomedical Informatics at Vanderbilt University.

Honors

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Experiences

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Education

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Doug Hardin

Vanderbilt University

Professor of Mathematics Professor of Biomedical Informatics

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applied mathematics mathematics approximation theory mathematical analysis spectral theory mathematical sciences wavelet theory mathematical optimization geometric analysis computer science mathematical physics energy minimization numerical analysis computational mathematics applied physics numerical algorithms potential theory algebraic coding theory graph theory numerical mathematics discrete geometry scientific computing constructive approximation linear programming combinatorial theory mathematical programming fractal analysis riemann-hilbert problem analytic number theory support vector machines spherical codes computer vision combinatorial optimization optical engineering integral geometry measure theory riesz energy classification method filter design rectifiable sets multiwavelet prefilters thoracic oncology microarray data analysis biomedical data science fractal functions cancer genomics geometric interpolation function theory fourier analysis geometric singular perturbation theory multiresolution analyses fractal interpolation functions next-order term logarithmic energy asymptotics asymptotic properties piecewise linear maps exact formula discrete potentials optimal discrete measures computer-aided design computational intelligence computational genomics calculus of variations discrete multiwavelet transforms optimal riesz general systems nonlinear dynamics surgical oncology cell research transaction processing recurrent neural networks symbolic dynamics sequential learning perturbation methods cellular biology cell-matrix interactions natural computing bio-inspired computation inverse problems data science machine learning

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Bounds on Energy and Potentials of Discrete Measures on the Sphere. Expositiones Mathematicae (2025)

entropyapplied mathematicsgeometric analysisdiscrete measuresfunction spacesgeometric measure theorymeasure theorypotential theorygibbs measuremathematicsintegral geometrymathematical sciences

Energy Bounds for Weighted Spherical Codes and Designs via Linear Programming. Analysis and Mathematical Physics (2025)

approximation theorymathematical optimizationvariable-length codeapplied mathematicsenergy boundslinear programmingmathematical programmingweighted spherical codesmathematicscomputational mathematics

Energy Bounds for Weighted Spherical Codes and Designs via Linear Programming. arXiv (Cornell University) (2024)

Borodachov, SergiyBoyvalenkov, PeterDragnev, PeterHardin, DouglasSaff, EdwardStoyanova, Maya

applied mathematicsenergy boundslinear programmingmathematical programmingweighted spherical codes

Universal Minima of Discrete Potentials for Sharp Spherical Codes. Revista Matemática Iberoamericana (2024)

Peter BoyvalenkovPeter DragnevDouglas HardinEdward SaffMaya Stoyanova

universal minimaapplied mathematicssharp spherical codesdiscrete potentialsparticle physics

Asymptotics of K-Nearest Neighbor Riesz Energies. Constructive Approximation (2023)

Douglas P. HardinEdward B. SaffOleksandr Vlasiuk

approximation theoryasymptotic analysisapplied mathematicsprobability theoryconstructive approximation

Estimating the Net Magnetic Moment of Geological Samples From Planar Field Maps Using Multipoles. Geochemistry Geophysics Geosystems (2023)

Eduardo A. LimaBenjamin P. WeissCaue S. BorlinaLaurent BaratchartDouglas P. Hardin

net magnetic momentgeophysicsgeological samplesearth sciencegeochemistryplanar field mapsplanetary sciences

On Polarization of Spherical Codes and Designs. Journal of Mathematical Analysis and Applications (2023)

P.G. BoyvalenkovP.D. DragnevD.P. HardinE.B. SaffM.M. Stoyanova

spherical codesmathematical analysisapplied mathematicsmathematics

Archetype Tasks Link Intratumoral Heterogeneity to Plasticity and Cancer Hallmarks in Small Cell Lung Cancer. Cell Systems (2022)

Sarah M. GrovesGeena V. IldefonsoCaitlin O. McAteePatricia M.M. OzawaAbbie S. IrelandPhilip E. StaufferPerry T. WasdinXiaomeng HuangYi QiaoJing Shan LimJackie BaderQi LiuAlan J. SimmonsKen S. LauWade T. IamsDoug P. HardinEdward B. SaffWilliam R. HolmesDarren R. TysonChristine M. LovlyJeffrey C. RathmellGabor MarthJulien SageTrudy G. OliverAlissa M. WeaverVito Quaranta

lung cancercancer biologyplasticitycell biologycell-matrix interactionsmammalian biologytumor biologyoncologycancer researchsystems biologylineage plasticitycancer hallmarkscell researchtumor heterogeneitysurgical oncologydermatologyintratumoral heterogeneitythoracic oncologycellular biologyarchetype taskscellular physiology

Corrigendum to “Asymptotics for the Unconstrained Polarization (Chebyshev) Problem”. Potential Analysis (2022)

Douglas HardinMircea PetracheEdward B. Saff

unconstrained polarizationasymptotic analysisapplied mathematics

Bounds for Spherical Codes: The Levenshtein Framework Lifted. Mathematics of Computation (2021)

P. G. BoyvalenkovP. D. DragnevD. P. HardinE. B. SaffM. M. Stoyanova

spherical codesapplied mathematicsmathematicslevenshtein frameworkcomputational mathematics

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Doug Hardin

Professor of Mathematics Professor of Biomedical Informatics

Vanderbilt University

Affiliations

College of Arts and Science

Mathematics

School of Medicine

Department of Biomedical Informatics

Doug Hardin is currently serving as a College Of Arts And Science Professor of Mathematics Professor of Biomedical Informatics at Vanderbilt University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Doug Hardin

Vanderbilt University

Professor of Mathematics Professor of Biomedical Informatics

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Bounds on Energy and Potentials of Discrete Measures on the Sphere. Expositiones Mathematicae (2025)

entropyapplied mathematicsgeometric analysisdiscrete measuresfunction spacesgeometric measure theorymeasure theorypotential theorygibbs measuremathematicsintegral geometrymathematical sciences

Energy Bounds for Weighted Spherical Codes and Designs via Linear Programming. Analysis and Mathematical Physics (2025)

approximation theorymathematical optimizationvariable-length codeapplied mathematicsenergy boundslinear programmingmathematical programmingweighted spherical codesmathematicscomputational mathematics

Energy Bounds for Weighted Spherical Codes and Designs via Linear Programming. arXiv (Cornell University) (2024)

Borodachov, SergiyBoyvalenkov, PeterDragnev, PeterHardin, DouglasSaff, EdwardStoyanova, Maya

applied mathematicsenergy boundslinear programmingmathematical programmingweighted spherical codes

Universal Minima of Discrete Potentials for Sharp Spherical Codes. Revista Matemática Iberoamericana (2024)

Peter BoyvalenkovPeter DragnevDouglas HardinEdward SaffMaya Stoyanova

universal minimaapplied mathematicssharp spherical codesdiscrete potentialsparticle physics

Asymptotics of K-Nearest Neighbor Riesz Energies. Constructive Approximation (2023)

Douglas P. HardinEdward B. SaffOleksandr Vlasiuk

approximation theoryasymptotic analysisapplied mathematicsprobability theoryconstructive approximation

Estimating the Net Magnetic Moment of Geological Samples From Planar Field Maps Using Multipoles. Geochemistry Geophysics Geosystems (2023)

Eduardo A. LimaBenjamin P. WeissCaue S. BorlinaLaurent BaratchartDouglas P. Hardin

net magnetic momentgeophysicsgeological samplesearth sciencegeochemistryplanar field mapsplanetary sciences

On Polarization of Spherical Codes and Designs. Journal of Mathematical Analysis and Applications (2023)

P.G. BoyvalenkovP.D. DragnevD.P. HardinE.B. SaffM.M. Stoyanova

spherical codesmathematical analysisapplied mathematicsmathematics

Archetype Tasks Link Intratumoral Heterogeneity to Plasticity and Cancer Hallmarks in Small Cell Lung Cancer. Cell Systems (2022)

Corrigendum to “Asymptotics for the Unconstrained Polarization (Chebyshev) Problem”. Potential Analysis (2022)

Douglas HardinMircea PetracheEdward B. Saff

unconstrained polarizationasymptotic analysisapplied mathematics

Bounds for Spherical Codes: The Levenshtein Framework Lifted. Mathematics of Computation (2021)

P. G. BoyvalenkovP. D. DragnevD. P. HardinE. B. SaffM. M. Stoyanova

spherical codesapplied mathematicsmathematicslevenshtein frameworkcomputational mathematics

1
2
3
4
5
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10 / page

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Similar Faculty Members

Ed Saff

Institution

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numerical mathematics

constructive approximation

Larry L. Schumaker

Institution

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geometric interpolation

numerical mathematics

Alexander Varchenko

Institution

University of North Carolina at Chapel Hill

complex analysis

mathematical physics

Laurent Pascal Saloff-Coste

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stochastic process

probability theory

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scientific computing

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spectral theory

functional analysis

Richard S. Laugesen

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Akram Aldroubi

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wavelet

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spectral theory

operator theory