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When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural…

Statistics Theory · Mathematics 2018-06-28 Nadezhda Gribkova , Ričardas Zitikis

Fine-tuning criteria are frequently used to place upper limits on the masses of superpartners in supersymmetric extensions of the standard model. However, commonly used prescriptions for quantifying naturalness have some important…

High Energy Physics - Phenomenology · Physics 2009-09-25 Greg Anderson , Diego Castano

Ellipse and ellipsoid fitting has been extensively researched and widely applied. Although traditional fitting methods provide accurate estimation of ellipse parameters in the low-noise case, their performance is compromised when the noise…

Methodology · Statistics 2009-12-10 Jieqi Yu , Sanjeev R. Kulkarni , H. Vincent Poor

In a spherically complete ultrametric space, a strictly contracting mapping has a fixed point. We indicate in this paper how this fixed point can either be reached or approximated.

Metric Geometry · Mathematics 2013-07-25 Sibylla Priess-Crampe , Paulo Ribenboim

Fixpoints are ubiquitous in computer science and when dealing with quantitative semantics and verification one often considers least fixpoints of (higher-dimensional) functions over the non-negative reals. We show how to approximate the…

Logic in Computer Science · Computer Science 2025-06-16 Paolo Baldan , Sebastian Gurke , Barbara König , Tommaso Padoan , Florian Wittbold

We consider the problem of estimating the value l({\phi}) of a linear functional, where the structural function {\phi} models a nonparametric relationship in presence of instrumental variables. We propose a plug-in estimator which is based…

Statistics Theory · Mathematics 2011-09-06 Christoph Breunig , Jan Johannes

Parametric amplification is an interesting way of artificially increasing a MEMS Quality factor and could be helpful in many kinds of applications. This paper presents a theoretical study of this principle, based on Matlab/Simulink…

Other Computer Science · Computer Science 2008-02-22 L. Grasser , H. Mathias , F. Parrain , X. Le Roux , J. -P. Gilles

The parametric geometry of numbers has allowed to visualize the simultaneous approximation properties of a collection of real numbers through the combined graph of the related successive minima functions. Several inequalities among…

Number Theory · Mathematics 2021-03-18 Wolfgang M. Schmidt , Leonhard Summerer

An intuitive probabilistic alternative for the construction of the Martin boundary is presented along with a construction of maximal representing measures for positive harmonic functions.

Analysis of PDEs · Mathematics 2019-11-13 Peter A. Loeb

In the framework of nonparametric multivariate function estimation we are interested in structural adaptation. We assume that the function to be estimated possesses the single-index structure where neither the link function nor the index…

Statistics Theory · Mathematics 2013-04-26 Oleg Lepski , Nora Serdyukova

The paper proposes artificial intelligence technique called hill climbing to find numerical solutions of Diophantine Equations. Such equations are important as they have many applications in fields like public key cryptography, integer…

Artificial Intelligence · Computer Science 2010-10-05 Siby Abraham , Imre Kiss , Sugata Sanyal , Mukund Sanglikar

In all applications of gamma-ray spectroscopy, one of the most important and delicate parts of the data analysis is the fitting of the gamma-ray spectra, where information as the number of counts, the position of the centroid and the width,…

Instrumentation and Detectors · Physics 2015-11-16 Guilherme S. Zahn , Frederico A. Genezini , Maurício Moralles

Recent developments in supersymmetric unified theories are reviewed, with particular emphasis on supersymmetric grand unification and a brief discussion of recent ideas about extra dimensions.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. N. Mohapatra

In computer vision and medical imaging, the problem of matching structures finds numerous applications from automatic annotation to data reconstruction. The data however, while corresponding to the same anatomy, are often very different in…

Computer Vision and Pattern Recognition · Computer Science 2021-03-24 Pierre-Louis Antonsanti , Joan Glaunès , Thomas Benseghir , Vincent Jugnon , Irène Kaltenmark

The main objective of this paper is to prove a new inequality for plurisubharmonic functions estimating their supremum over a ball by their supremum over a measurable subset of the ball. We apply this result to study local properties of…

Complex Variables · Mathematics 2016-09-07 Alexander Brudnyi

This paper is devoted to the variational inequality problems. We consider two classes of problems, the first is classical constrained variational inequality and the second is the same problem with functional (inequality type) constraints.…

Optimization and Control · Mathematics 2025-06-04 Mohammad S. Alkousa , Belal A. Alashqar , Fedor S. Stonyakin , Tarek Nabhani , Seydamet S. Ablaev

Marked power spectra provide a computationally efficient way to extract non-Gaussian information from the matter density field using the usual analysis tools developed for the power spectrum without the need for explicit calculation of…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-02 Jessica A. Cowell , David Alonso , Jia Liu

Based on a quantitative version of the inverse function theorem and an appropriate saddle-point formulation we derive a quasi-optimal error estimate for the finite element approximation of harmonic maps into spheres with a nodal…

Numerical Analysis · Mathematics 2022-09-27 Sören Bartels , Christian Palus , Zhangxian Wang

This paper presents a novel numerical optimisation method for infinite dimensional optimisation. The functional optimisation makes minimal assumptions about the functional and without any specific knowledge on the derivative of the…

Optimization and Control · Mathematics 2016-11-18 Muhammad F. Kasim , Peter A. Norreys

We introduce a simplified method for calculating the loss function for use in geometric shaping, allowing for the optimisation of high dimensional constellations. We design constellations up to 12D with 4096 points, with gains up to 0.31 dB…

Information Theory · Computer Science 2023-07-12 Kadir Gümüş , Bin Chen , Thomas Bradley , Chigo Okonkwo