We introduce new discrete best approximation problems, formulated and solved in the
framework of tropical algebra, which deals with semirings and semifields with idempotent …

We consider the weighted median problem for a given set of data and analyze its main
properties. As an illustration, an efficient method for searching for a weighted Least Absolute …

Algorithmic modelling relies on limited information in data to extrapolate outcomes for
unseen scenarios, often embedding an element of arbitrariness in its decisions. A …

In this paper a new method for estimation of optimal parameters of a best least absolute
deviations plane is proposed, which is based on the fact that there always exists a best least …

Minimax approximations have found many applications but are lack of efficient solution
algorithms for large-scale problems. Based on the alternating direction method of multipliers …

OBOTS in the near future will be expected to operate autonomously in unstructured
environments. In order to reach a required level of autonomy, a highly developed …

We consider the problem of searching for a best LAD-solution of an overdetermined system
of linear equations Xa= z, X∈ Rm× n, m≥ n, a∈ Rn, z∈ Rm. This problem is equivalent to …

The goal of this paper is two-fold. First, new regression models obtained by combinations of
the least squares (LS), minimax (MM), and the least sum of absolute deviations (LSAD) are …

The aim of this study is to analyze the role of experimental factors in the affine coordinate
transformation of cadastral maps using a 2 3 factorial design. The selected experimental …

In this paper we are going to consider the problem of global data approximation on the basis
of data containing outliers. For that purpose a new method entitled the moving least absolute …