Martin D. Buhmann

According to our database, Martin D. Buhmann authored at least 28 papers between 1991 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

New methods for quasi-interpolation approximations: Resolution of odd-degree singularities.

Martin D. Buhmann, Janin Jäger, Joaquín Jódar, Miguel Luis Rodríguez

Math. Comput. Simul., 2024

Compression using Quasi-Interpolation.

Martin D. Buhmann, Feng Dai

CoRR, 2024

On Quasi-Interpolation and their associated shift-invariant space using a new class of generalized Thin Plate Splines and Inverse Multiquadrics.

Mathis Ortmann, Martin D. Buhmann

CoRR, 2024

2023

High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics.

Mathis Ortmann, Martin D. Buhmann

CoRR, 2023

2022

Positive definite functions on a regular domain.

Martin D. Buhmann, Yuan Xu

CoRR, 2022

2021

Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres.

Martin D. Buhmann, Janin Jäger

CoRR, 2021

Implementing and modifying Broyden class updates for large scale optimization.

Martin D. Buhmann, Dirk Siegel

Comput. Optim. Appl., 2021

2020

Pólya-type criteria for conditional strict positive definiteness of functions on spheres.

Martin D. Buhmann, Janin Jäger

J. Approx. Theory, 2020

Multiply monotone functions for radial basis function interpolation: Extensions and new kernels.

Martin D. Buhmann, Janin Jäger

J. Approx. Theory, 2020

Discretization on high-dimensional domains.

Martin D. Buhmann, Feng Dai, Yeli Niu

CoRR, 2020

2019

Michael J.D. Powell's work in approximation theory and optimisation.

Martin D. Buhmann

J. Approx. Theory, 2019

Preface.

Elena E. Berdysheva, Martin D. Buhmann, Oleg Davydov

J. Approx. Theory, 2019

2017

Radial Basis Function Networks.

Martin D. Buhmann

Proceedings of the Encyclopedia of Machine Learning and Data Mining, 2017

Error bounds for multiquadrics without added constants.

Martin D. Buhmann, Oleg Davydov

J. Approx. Theory, 2017

2015

Pointwise approximation with quasi-interpolation by radial basis functions.

Martin D. Buhmann, Feng Dai

J. Approx. Theory, 2015

2010

Radial Basis Function Networks.

Martin D. Buhmann

Proceedings of the Encyclopedia of Machine Learning, 2010

Radial basis function.

Martin D. Buhmann

Scholarpedia, 2010

Preface.

Martin D. Buhmann, Kurt Jetter

J. Approx. Theory, 2010

2009

Radial Basis Functions - Theory and Implementations.

Martin D. Buhmann

Cambridge monographs on applied and computational mathematics 12, Cambridge University Press, ISBN: 978-0-521-10133-2, 2009

2006

Preface.

Martin D. Buhmann, Juan Manuel Peña

J. Approx. Theory, 2006

Half-plane approximation with radial functions.

Martin D. Buhmann

Comput. Math. Appl., 2006

Semi-infinite cardinal interpolation with multiquadrics and beyond.

Martin D. Buhmann

Adv. Comput. Math., 2006

2003

Cubic Spline Prewavelets on the Four-Directional Mesh.

Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman

Found. Comput. Math., 2003

2001

A new class of radial basis functions with compact support.

Martin D. Buhmann

Math. Comput., 2001

Box Spline Prewavelets of Small Support.

Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman

J. Approx. Theory, 2001

1997

Approximation theory and optimization - tributes to M. J. D. Powell.

Martin D. Buhmann, Arieh Iserles

Cambridge University Press, ISBN: 978-0-521-58190-5, 1997

1994

Pre-Wavelets on Scattered Knots and from Radial Function Spaces: A Review.

Martin D. Buhmann

Proceedings of the 6th IMA Conference on the Mathematics of Surfaces, 1994

1991

Error Estimates for Multiquadric Interpolation.

Martin D. Buhmann, Nira Dyn

Proceedings of the Curves and Surfaces, 1991