In many applications, observed signals are contaminated by both random noise and blur. This paper proposes a blind deconvolution procedure for estimating a regression function with possible jumps preserved, by removing both noise and blur when recovering the signals. Our procedure is based on three local linear kernel estimates of the regression function, constructed from observations in a left...

We report the case of a 21-year-old man who injured his right hand in a fall from his motorbike, causing a trans-scaphoid perilunate fracture-dislocation associated with vertical fracture of the pyramid (A and B). On day 2, patient underwent a bloody reduction (C) of disorganized carpal bones with osteosynthesis of scaphoid and pyramid (D). Peri-lunate fracture-dislocation is a rare injury cons...

Pls regression is a recent technique that generalizes and combines features from principal component analysis and multiple regression. It is particularly useful when we need to predict a set of dependent variables from a (very) large set of independent variables (i.e., predictors). It originated in the social sciences (specifically economy, Herman Wold 1966) but became popular first in chemomet...

BACKGROUND Intraosseous ganglion (IOG) cysts rarely have been reported in the carpal bones and lunate is the most common area of involvement. They can present as chronic wrist pain accompanied by a radiolucent lytic lesion in the lunate bone. We provided a retrospective review of six cases of intraosseous ganglion cysts within the lunate bones that all of the patients presented with chronic wri...

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a r t i c l e i n f o Ripples and transverse dunes in areas of abundant sand supply increase in height and spacing as a function of time, grain size, and excess shear velocity. How and why each of these factors influence ripple and transverse dune size, however, is not precisely known. In this paper, the controls on the height and spacing of ripples and transverse dunes in areas of abundant san...

In this paper is analyzed the minimal correction problem for an inconsistent linear inequality system. By the correction we mean avoiding its contradictory nature by means of relaxing the constraints. When the system of inequalities Ax ≤ b has no solutions, we are interested in a vector that satisfies the system in a Least Squares (LS) sense, i.e. a vector x ∈ R that minimizes the quantity ∥∥(A...

Classical least squares regression consists of minimizing the sum of the squared residuals. Many authors have produced more robust versions of this estimator by replacing the square by something else, such as the absolute value. In this article a different approach is introduced in which the sum is replaced by the median of the squared residuals. The resulting estimator can resist the effect of...

Information that is stored in an encrypted format is, by definition, usually not amenable to statistical analysis or machine learning methods. In this paper we present detailed analysis of coordinate and accelerated gradient descent algorithms which are capable of fitting least squares and penalised ridge regression models, using data encrypted under a fully homomorphic encryption scheme. Gradi...