116 citations · 182 across the 15 of their papers we have counts for
6 papers · 1 filter
Randomized algorithms for statistical image analysis and site percolation on square lattices
Mikhail A. Langovoy, Olaf Wittich
We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that a…
Multiple testing, uncertainty and realistic pictures
Mikhail A. Langovoy, Olaf Wittich
We study statistical detection of grayscale objects in noisy images. The object of interest is of unknown shape and has an unknown intensity, that can be varying over the object an…
Robust nonparametric detection of objects in noisy images
Mikhail A. Langovoy, Olaf Wittich
We propose a novel statistical hypothesis testing method for detection of objects in noisy images. The method uses results from percolation theory and random graph theory. We prese…
Detection of objects in noisy images and site percolation on square lattices
Mikhail A. Langovoy, Olaf Wittich
We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that a…
Consistencies and rates of convergence of jump-penalized least squares estimators
Leif Boysen, Angela Kempe, Volkmar Liebscher +2
We study the asymptotics for jump-penalized least squares regression aiming at approximating a regression function by piecewise constant functions. Besides conventional consistency…
Scale space consistency of piecewise constant least squares estimators -- another look at the regressogram
Leif Boysen, Volkmar Liebscher, Axel Munk +1
We study the asymptotic behavior of piecewise constant least squares regression estimates, when the number of partitions of the estimate is penalized. We show that the estimator is…