In this paper we give a general framework for isotone optimization. First we discuss a
generalized version of the Pool-Adjacent-Violators Algorithm (PAVA) to minimize a …

Objective: Predictive models that generate individualized estimates for medically relevant
outcomes are playing increasing roles in clinical care and translational research. However …

The smart grid (SG) has emerged as an important form of the Internet of Things. Despite the
high promises of renewable energy in the SG, it brings about great challenges to the existing …

This paper gives algorithms for determining isotonic regressions for weighted data at a set of
points P in multidimensional space with the standard componentwise ordering. The …

We propose a new variable selection and estimation technique for high dimensional single
index models with unknown monotone smooth link function. Among many predictors …

In this article, we build a statistical model able to predict the reliability of the system based on
a dataset. Our objective is double. On the one hand, we aim at constructing a function that …

We consider the problem of minimizing the distance from a given n-dimensional vector to a
set defined by constraints of the form xi≤ x j. Such constraints induce a partial order of the …

Monotonic (isotonic) regression is a powerful tool used for solving a wide range of important
applied problems. One of its features, which poses a limitation on its use in some areas, is …

Technical systems are designed to perform an intended task with an admissible range of
efficiency. According to this idea, it is permissible that the system runs among different levels …

The shape-constrained problems in statistics have attracted much attention in recent
decades. One of them is the task of finding the best fitting monotone regression. The …