Search Results - "Hegland, Markus"

Dilational interpolatory inequalities by HEGLAND, MARKUS, ANDERSSEN, ROBERT S.

“…Operationally, index functions of variable Hubert scales can be viewed as generators for families of spaces and norms and, thereby, associated scales of…”
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A note on error bounds for pseudo skeleton approximations of matrices by de Hoog, Frank, Hegland, Markus

“…A new and improved bound for the Chebyshev norm of the error of a maximal volume pseudo-skeleton matrix approximation is presented. This bound uses all the…”
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For numerical differentiation, dimensionality can be a blessing by Anderssen, Robert S., Hegland, Markus

“…Finite difference methods, such as the mid-point rule, have been applied successfully to the numerical solution of ordinary and partial differential equations…”
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Numerical integration of particle orbits in discontinuous fields using VENUS-LEVIS and SPEC by Muir, Dean, Pfefferlé, David, Qu, Zhisong, Hole, Matthew, Hegland, Markus

“…The orbit code VENUS-LEVIS is adapted to follow particles in plasma equilibria with discontinuous fields generated by the Stepped Pressure Equilibrium Code…”
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Sparse grid quadrature on products of spheres by Hegland, Markus, Leopardi, Paul

“…We examine sparse grid quadrature on weighted tensor products ( wtp ) of reproducing kernel Hilbert spaces on products of the unit sphere 𝕊 2 , in the case of…”
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Old wine in fractal bottles I: Orthogonal expansions on self-referential spaces via fractal transformations by Bandt, Christoph, Barnsley, Michael, Hegland, Markus, Vince, Andrew

“…Our results and examples show how transformations between self-similar sets may be continuous almost everywhere with respect to measures on the sets and may be…”
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A FINITE ELEMENT METHOD FOR DENSITY ESTIMATION WITH GAUSSIAN PROCESS PRIORS by GRIEBEL, MICHAEL, HEGLAND, MARKUS

“…A variational problem characterizing the density estimator defined by the maximum a posteriori method with Gaussian process priors is derived. It is shown that…”
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ERROR BOUNDS FOR SPECTRAL ENHANCEMENT WHICH ARE BASED ON VARIABLE HILBERT SCALE INEQUALITIES by HEGLAND, MARKUS

“…Spectral enhancemeut-which aims to undo spectral broadening–leads to integral equations which are illposed and require special regularization techniques for…”
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Convergence rates in ℓ1-regularization when the basis is not smooth enough by Flemming, Jens, Hegland, Markus

“…Sparsity promoting regularization is an important technique for signal reconstruction and several other ill-posed problems. Theoretical investigation typically…”
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Convergence rates in [ell] super(1)-regularizatio n when the basis is not smooth enough by Flemming, Jens, Hegland, Markus

“…Sparsity promoting regularization is an important technique for signal reconstruction and several other ill-posed problems. Theoretical investigation typically…”
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Convergence rates in ℓ 1 -regularization when the basis is not smooth enough by Flemming, Jens, Hegland, Markus

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Convergence rates in [lamda]^sup 1^-regularization when the basis is not smooth enough by Flemming, Jens, Hegland, Markus

“…Sparsity promoting regularization is an important technique for signal reconstruction and several other ill-posed problems. Theoretical investigation typically…”
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Fitting multidimensional data using gradient penalties and the sparse grid combination technique by Garcke, Jochen, Hegland, Markus

“…Sparse grids, combined with gradient penalties provide an attractive tool for regularised least squares fitting. It has earlier been found that the combination…”
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The combination technique and some generalisations by Hegland, Markus, Garcke, Jochen, Challis, Vivien

“…The combination technique has repeatedly been shown to be an effective tool for the approximation with sparse grid spaces. Little is known about the reasons of…”
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Accelerated Landweber iteration with convex penalty for linear inverse problems in Banach spaces by Hegland, Markus, Jin, Qinian, Wang, Wei

“…In recent years, Landweber iteration has been extended to solve linear inverse problems in Banach spaces by incorporating non-smooth convex penalty functionals…”
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Approximate Maximum a Posteriori with Gaussian Process Priors by Hegland, Markus

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Complex scientific applications made fault-tolerant with the sparse grid combination technique by Ali, Md Mohsin, Strazdins, Peter E, Harding, Brendan, Hegland, Markus

“…Ultra-large–scale simulations via solving partial differential equations (PDEs) require very large computational systems for their timely solution. Studies…”
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A solver for the stochastic master equation applied to gene regulatory networks by Hegland, Markus, Burden, Conrad, Santoso, Lucia, MacNamara, Shev, Booth, Hilary

“…An important driver of gene regulatory networks is noise arising from the stochastic nature of interactions of genes, their products and regulators. Thus, such…”
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Generalized Gearhart-Koshy acceleration is a Krylov space method of a new type by Hegland, Markus, Rieger, Janosch

“…The Gearhart-Koshy acceleration for the Kaczmarz method for linear systems is a line-search with the unusual property that it does not minimize the residual,…”
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The trade-off between regularity and stability in Tikhonov regularization by Nair, M. Thamban, Hegland, Markus, Anderssen, Robert S.

“…When deriving rates of convergence for the approximations generated by the application of Tikhonov regularization to ill--posed operator equations, assumptions…”
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