A Threshold based fixed 3x3 Non linear filter for the removal of image artifact such as blotches, black band noise, streaks and impulse is proposed. The algorithm detects the corrupted pixel, if the absolute difference between the processed pixel and the unsymmetrical trimmed midpoint is greater than a fixed threshold else termed as non noisy. Under high noise densities the computed median migh...

The following tables and figures report all results from the three simulation experiments in the main paper. In all cases the instruments are zt = [yt−1, yt−2] ′. Tables T.1-T.3 concern trimmed EL for each transform, based on weight Wt = 1/ ∏2 i=1(1 + y 2 t−i) 1/2. Tables T.4-T.6 concern trimmed CUE for each transform based on weightWt = 1/(1 + y2 t−1). In those cases the model estimated is AR(...

Physical quantities referring to angles, like vector direction, color hue e.t.c. exhibit an inherently periodic nature. Due to this periodicity, digital lters and edge operators proposed for data on the line cannot be applied on such data. In this paper we introduce lters for angular signals (circular mean, circular median, circular a-trimmed mean, circular modiied trimmed mean). Particular emp...

The statistical analysis of functional data is a growing need in many research areas. We propose a new depth notion for functional observations based on the graphic representation of the curves. Given a collection of functions, it allows to establish the “centrality” of a function and provides a natural center-outward ordering of the sample curves. Robust statistics such as the median function ...

An extensive body of literature has shown that combining forecasts can improve forecast accuracy, and that a simple average of the forecasts (the mean) often does better than more complex combining schemes. The fact that the mean is sensitive to extreme values suggests that deleting such values or reducing their extremity might be worthwhile. We study the performance of two simple robust method...

A Modified Decision Based Unsymmetrical Trimmed Median Filter (MDBUTMF) followed by Fuzzy Noise Reduction Method (FNRM) is proposed for the restoration of color images that are highly corrupted by salt and pepper noise. The proposed filter (MDBUTMF) replaces the noisy pixel by trimmed median value when some of the elements with values 0‟s and 255‟s are present in the selected window. If all the...

This study investigates the influence of early somatosensory experience on shaping movement representation patterns in motor cortex. Electrical microstimulation was used to map bilaterally the motor cortices of adult rats subjected to altered tactile experience by unilateral vibrissa trimming from birth (birth-trimmed group) or for comparable periods that began in adulthood (adult-trimmed group...

Nonconvex penalty methods for sparse modeling in linear regression have been a topic of fervent interest in recent years. Herein, we study a family of nonconvex penalty functions that we call the trimmed Lasso and that offers exact control over the desired level of sparsity of estimators. We analyze its structural properties and in doing so show the following: 1. Drawing parallels between robus...