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In this article, firstly, some simple and smoothness properties of the weighted numerical radius and the weighted Crawford number functions are investigated. Then, some generalization formulas for lower and upper bounds of the weighted…

Functional Analysis · Mathematics 2024-12-31 Zameddin I. Ismailov , Pembe Ipek Al

Many applications in pattern recognition represent patterns as a geometric graph. The geometric graph distance (GGD) has recently been studied as a meaningful measure of similarity between two geometric graphs. Since computing the GGD is…

Computational Geometry · Computer Science 2023-06-12 Sushovan Majhi

In the first part of this investigation, [Ha], we generalized a weighted distance function of [Li] and found necessary and sufficient conditions for it being a metric. In this paper some properties of this so-called M-relative metric are…

Metric Geometry · Mathematics 2007-05-23 Peter A. Hasto

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization, $\ell_1$ norm regularized optimization, and $\ell_0$ norm regularized…

Numerical Analysis · Computer Science 2018-06-11 Ganzhao Yuan , Wei-Shi Zheng , Li Shen , Bernard Ghanem

In order to investigate relativistic effects we compare the transverse flow calculated by using the four versions of the QMD approaches with that of the full covariant RQMD approach. From the comparison we conclude that the simplified RQMD…

In this paper, we present finite element approximations of a class of Generalized random fields defined over a bounded domain of R d or a smooth d-dimensional Riemannian manifold (d $\ge$ 1). An explicit expression for the covariance matrix…

Probability · Mathematics 2018-11-08 Mike Pereira , Nicolas Desassis

We propose a procedure for estimating the parameters of the Mittag-Leffler (ML) and the generalized Mittag-Leffler (GML) distributions. The algorithm is less restrictive, computationally simple, and necessary to make these models usable in…

Methodology · Statistics 2018-06-08 Dexter Cahoy

Determination of polymer molecular weight distribution (MWD) from rheological measurements is desirable due to the ease and low cost of rheometry compared to other methods such as gel permeation chromatography. However, relating MWD to…

Soft Condensed Matter · Physics 2025-06-19 Nihal Pushkar , Xin C. Yee , Jena McCollum , Brandon Runnels

Application of the minimum distance method to the linear regression model for estimating regression parameters is a difficult and time-consuming process due to the complexity of its distance function, and hence, it is computationally…

Computation · Statistics 2017-02-15 Jiwoong Kim

This paper develops an algorithmic approach for obtaining approximate, numerical estimates of the sizes of subcodes of Reed-Muller (RM) codes, all of the codewords in which satisfy a given constraint. Our algorithm is based on a statistical…

Information Theory · Computer Science 2023-09-20 V. Arvind Rameshwar , Shreyas Jain , Navin Kashyap

A new classification of real functions and other related real objects defined within a compact interval is proposed. The scope of the classification includes normal real functions and distributions in the sense of Schwartz, referred to…

Mathematical Physics · Physics 2015-07-07 Jorge L. deLyra

The umbral restyling of hypergeometric functions is shown to be a useful and efficient approach in simplifying the associated computational technicalities. In this article, the authors provide a general introduction to the umbral version of…

Classical Analysis and ODEs · Mathematics 2024-01-31 Giuseppe Dattoli , Mehnaz Haneef , Subuhi Khan , Silvia Licciardi

Estimation in generalized linear models (GLM) is complicated by the presence of constraints. One can handle constraints by maximizing a penalized log-likelihood. Penalties such as the lasso are effective in high dimensions, but often lead…

Machine Learning · Statistics 2017-11-07 Jason Xu , Eric C. Chi , Kenneth Lange

In this note, we demonstrate the convergence of the Demailly approximation of a general (weakly) upper semi-continuous weight.

Complex Variables · Mathematics 2025-04-03 Shijie Bao , Qi'an Guan

The generalized Hamming weights (GHWs) of linear codes are fundamental parameters, the knowledge of which is of great interest in many applications. However, to determine the GHWs of linear codes is difficult in general. In this paper, we…

Information Theory · Computer Science 2015-04-07 Maosheng Xiong , Shuxing Li , Gennian Ge

A distance mean function measures the average distance of points from the elements of a given set of points (focal set) in the space. The level sets of a distance mean function are called generalized conics. In case of infinite focal points…

Optimization and Control · Mathematics 2026-04-08 Csaba Vincze , Ábris Nagy

We study the locally recoverable codes on algebraic curves. In the first part of this article, we provide a bound of generalized Hamming weight of these codes. Whereas in the second part, we propose a new family of algebraic geometric LRC…

Commutative Algebra · Mathematics 2016-05-25 Edoardo Ballico , Chiara Marcolla

In this paper we first consider the class of minimal time functions in the general setting of locally convex topological vector (LCTV) spaces. The results obtained in this framework are based on a novel notion of closedness of target sets…

Optimization and Control · Mathematics 2020-10-22 Dang Van Cuong , Boris Mordukhovich , Nguyen Mau Nam , Mike Wells

We consider the problem of minimizing a proper, lower semicontinuous, geodesically convex function on a Hadamard manifold. Building on ball-proximal (broximal) ideas in the Euclidean setting, viewed as an abstract proximal-type algorithm,…

Optimization and Control · Mathematics 2026-05-06 F. Babu , O. P. Ferreira , L. F. Prudente , Jen-Chih Yao , Xiaopeng Zhao

\textit{Implicit neural representations} (INRs) have emerged as a promising framework for representing signals in low-dimensional spaces. This survey reviews the existing literature on the specialized INR problem of approximating…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Luiz Schirmer , Tiago Novello , Vinícius da Silva , Guilherme Schardong , Daniel Perazzo , Hélio Lopes , Nuno Gonçalves , Luiz Velho