This paper describes a new approach to solving some stochastic optimization problems for linear dynamic system with various parametric uncertainties. Proposed approach is based on application of tensor formalism for creation the mathematical model of parametric uncertainties. Within proposed approach following problems are considered: prediction, data processing and optimal control. Outcomes of...

Keeping in the view the non-probabilistic nature of experiment, we introduced some new generalized exponential fuzzy entropy involving one or more real parameters and to check their authenticity, the essential properties of these measures have been studied. Introduced fuzzy entropies contain several other existing parametric and non-parametric measures of fuzzy entropies defined by De Luca and ...

This report analyses global parametric convergence properties of a recursive algorithm for identification of linear finite impulse response (FIR) dynamics with quantized output measurements. The problem is addressed by analytic calculation of the right hand side of the associated ODE for a second order model. The ODE is then analysed numerically to investigate the possibilities for proving para...

Freeform rational parametric curves and surfaces have been playing a major role in computer aided design for several decades. The ability to analyze local (differential) properties of parametric curves is well established and extensively exploited. In this work, we explore a different lifting approach to global analysis of freeform geometry, mostly curves, in IR and IR. In this lifting scheme, ...

Abstract We discuss the concept of characteristic squeezing modes applied to a travelling-wave optical parametric amplifier pumped by an ultrashort pulse. The characteristic modes undergo decoupled single-mode squeezing transformations, and therefore they form a useful basis to describe the evolution of the entire multimode system. This provides an elegant and intuitive picture of quantum stati...

This paper is concerned with estimating a conditional quantile function that is assumed to be partially linear+ The paper develops a simple estimator of the parametric component of the conditional quantile+ The semiparametric efficiency bound for the parametric component is derived, and two types of efficient estimators are considered+ Asymptotic properties of the proposed estimators are establ...

We propose a method to represent solid objects as multiple combinations of globally deformed supershapes. Our approach handles primitives that have both parametric and implicit representations. An implicit equation with guaranteed di erential properties is obtained by combinations of the primitives' implicit representations using R-functions. The surface corresponding to the zero-set of the imp...

When predicting scalar responses in the situation where the explanatory variables are functions, it is sometimes the case that some functional variables are related to responses linearly while other variables have more complicated relationships with the responses. In this paper, we propose a new semi-parametric model to take advantage of both parametric and nonparametric functional modeling. As...

We study the quantum description of parametric heating in harmonic potentials both nonperturbatively and perturbatively, having in mind atom traps. The first approach establishes an explicit connection between classical and quantum descriptions; it also gives analytic expressions for properties such as the width of fractional frequency parametric resonances. The second approach gives an alterna...

Discrete solitons in the Ablowitz-Ladik (AL) and discrete nonlinear Schrödinger (DNLS) equations with damping and strong rapid drive are investigated. The averaged equations have the forms of the parametric AL and DNLS equations. An additional type of parametric bright discrete soliton and cnoidal waves are found and the stability properties are analyzed. The analytical predictions of the pertu...