y=[10.6,16.0,45.0,83.5,52.8,19.9,10.8,8.25,4.7] s=[9.34,17.9,41.5,85.5,51.5,21.5,10.8,6.29,4.14] ...

Solving a coupled ODE using Multivariate Newton Raphson Method. $\ \dfrac{dy_{1}}{dt}= -0.04y_{1} + 10^4y_{2}y_{3} $ $\ \dfrac{dy_{2}}{dt} = 0.04y_{1} - 10^4y_{2}y_{3 ...

In this article the implementation of Newton Raphson (NR) algorithm in Python is discussed along with the reason why and how it works. It is the most fundamental algorithm to find out the roots of a ...

Abstract: In machine learning and statistics, the penalized regression methods are the main tools for variable selection (or feature selection) in high-dimensional sparse data analysis. Due to the ...

To advance the lithium-ion battery (LIB) technology more quickly, its lifetime should be predicted accurately. The precise prediction of LIB lifetime can help in producing new batteries, better use ...

Mathematics in AI - Multivariate Analysis: Techniques like Principal Component Analysis (PCA), Factor Analysis, and Multidimensional Scaling help in understanding the complexities of high-dimensional ...

Abstract: Due to its heavy-tailed and fully parametric form, the multivariate generalized Gaussian distribution (MGGD) has been receiving much attention in signal and image processing applications.