95 citations · 164 across the 14 of their papers we have counts for
17 papers
The Kaplan-Meier estimator as a limit function of Efron's self-consistency iterations
Miroslav Bacak
In 1967 Efron showed that the Kaplan-Meier estimator can be defined as a fixed point of a certain mapping, calling this property ``self-consistency''. He also proposed an iterative…
Out-of-core singular value decomposition
Vadim Demchik, Miroslav Bačák, Stefan Bordag
Singular value decomposition (SVD) is a standard matrix factorization technique that produces optimal low-rank approximations of matrices. It has diverse applications, including ma…
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…
Old and new challenges in Hadamard spaces
Miroslav Bacak
Hadamard spaces have traditionally played important roles in geometry and geometric group theory. More recently, they have additionally turned out to be a suitable framework for co…
On proximal mappings with Young functions in uniformly convex Banach spaces
Miroslav Bacak, Ulrich Kohlenbach
It is well known in convex analysis that proximal mappings on Hilbert spaces are -Lipschitz. In the present paper we show that proximal mappings on uniformly convex Banach space…
A variational approach to stochastic minimization of convex functionals
Miroslav Bacak
Stochastic methods for minimizing a convex integral functional, as initiated by Robbins and Monro in the early 1950s, rely on the evaluation of a gradient (or subgradient if the fu…