Let F(x) be a convex function defined in R^{n}), which is symmetric about the origin and homogeneous of degree 1, and let L be the lattice of integers Z^{n}. A definition of a reduced basis, b^{1},...,b^{n}, of the lattice with respect to the distance function F is presented, and we describe an...

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven mechanism to construct low dimensional surrogate models. These...

In this work we introduce the Proper Orthogonal Decomposition (POD)approach to the valuation of contingent claims for one–dimensional price models.First, we present the POD in the context of an abstract Hilbert space and we givean application for the numerical pricing of Double Barrier...

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven mechanism to construct low dimensional surrogate models. These...

The paper addresses the business value discussion of IT focussing on Business ProcessManagement (BPM), where BPM is understood as an integrated management concept withIT as a critical enabling technology. To answer the question if there could be any financialbenefit effects due to implementation...

This research article aims to explore and assess the influence of music education on cognitive development in children. Drawing upon various theories and previous studies, the research seeks to provide a comprehensive analysis of the potential benefits of music education in enhancing cognitive...

This paper studies the effect of employer-provided training on the probability of subsequent job exit. Empirical evidence usually shows that the probability of receiving training by the employer is higher among those employees with the lowest expected rates of turnover. Therefore, it seems that...

The COVID-19 affected each and every industry sector around the world. Most of the educational institutions of India as well as the world got affected very badly. It has forced worldwide lockdown and created an atrocious effect on student life. The COVID-19 affected all the sectors in (T) the...

It is observed that a majority of organized brick-and-mortar (B&M) retailers in India believe that they have adopted the latest Artificial Intelligence-based consumer communication (AIBCC) tools/solutions and are yielding accurate outputs that can be used for interpretation, conclusion, and...

The paper-based certification is prone to manipulation and vulnerable to fraud. Instances of fraudulent degrees, manipulation of academic records, or compromised academic programs adversely impact and damage an academic institution's credibility. It also affects the Indian universities’...