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20112023
most citedA Second Order Non-Smooth Variational Model for Restoring Manifold-Valued Images

95 citations · 768 across the 58 of their papers we have counts for

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Showing 2019Show all

7 papers · 1 filter

math.NA2019★ 50 cited

Parseval Proximal Neural Networks

Marzieh Hasannasab, Johannes Hertrich, Sebastian Neumayer +3

The aim of this paper is twofold. First, we show that a certain concatenation of a proximity operator with an affine operator is again a proximity operator on a suitable Hilbert sp…

math.OC2019★ 1 cited

Frame Soft Shrinkage as Proximity Operator

Marzieh Hassanasab, Sebastian Neumayer, Gerlind Plonka +3

Let and be real Hilbert spaces and an injective operator with closed range and Moore-Penrose inverse $T^\dagge…

math.ST2019★ 21 cited

Alternatives to the EM Algorithm for ML-Estimation of Location, Scatter Matrix and Degree of Freedom of the Student- Distribution

Marzieh Hasannasab, Johannes Hertrich, Friederike Laus +1

In this paper, we consider maximum likelihood estimations of the degree of freedom parameter , the location parameter and the scatter matrix of the multivariate Student-…

math.OC2019

Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization

Martin Ehler, Manuel Gräf, Sebastian Neumayer +1

The approximation of probability measures on compact metric spaces and in particular on Riemannian manifoldsby atomic or empirical ones is a classical task in approximation and com…

math.NA2019

Minimal Lipschitz and -Harmonic Extensions of Vector-Valued Functions on Finite Graphs

Miroslav Bačák, Johannes Hertrich, Sebastian Neumayer +1

This paper deals with extensions of vector-valued functions on finite graphs fulfilling distinguished minimality properties. We show that so-called lex and L-lex minimal extensions…

math.NA2019

On the Robust PCA and Weiszfeld's Algorithm

Sebastian Neumayer, Max Nimmer, Simon Setzer +1

Principal component analysis (PCA) is a powerful standard tool for reducing the dimensionality of data. Unfortunately, it is sensitive to outliers so that various robust PCA varian…

math.NA2019

On the Rotational Invariant -Norm PCA

Sebastian Neumayer, Max Nimmer, Simon Setzer +1

Principal component analysis (PCA) is a powerful tool for dimensionality reduction. Unfortunately, it is sensitive to outliers, so that various robust PCA variants were proposed in…