Quantum calculus provides a significant generalization of classical concepts and overcomes the limitations in tackling non-differentiable functions. Implementing q-concepts to obtain fresh variants outcomes is very intriguing aspect research mathematical analysis. The objective this article establish novel Milne-type integral inequalities through utilization Mercer inequality for q-differentiab...

Abstract In this investigation, we unfold the Jensen–Mercer ( $\mathtt{J-M}$ J − M ) inequality for convex stochastic processes via a new fractional integral operator. The incorporation of processes, and operator having an exponential kernel brings dire...

The article presents a method for both the unsupervised partitioning of a sample of data and the estimation of the possible number of inherent clusters which generate the data. This work exploits the notion that performing a nonlinear data transformation into some high dimensional feature space increases the probability of the linear separability of the patterns within the transformed space and...

Bayesian optimization (BO) is an efficient framework for solving black-box problems with expensive function evaluations. This paper addresses the BO problem setting combinatorial spaces (e.g., sequences and graphs) that occurs naturally in science engineering applications. A prototypical example molecular guided by experiments. The key challenge to balance complexity of statistical models tract...

Many researchers have been attracted to the study of convex analysis theory due both facts, theoretical significance, and applications in optimization, economics, other fields, which has led numerous improvements extensions subject over years. An essential part mathematical inequalities is function its extensions. In recent past, Jensen–Mercer inequality Hermite–Hadamard–Mercer type remained a ...

Calvin Mercer and Tracey Trothen, Religion the Technological Future: An Introduction to Biohacking, Artificial Intelligence, Transhumanism (London: Palgrave, 2021), 266 pp., $43.95 (pbk), ISBN: 9783030623586.

On the one hand, Support Vector Machines have met with significant success in solving difficult pattern recognition problems with global features representation. On the other hand, local features in images have shown to be suitable representations for efficient object recognition. Therefore, it is natural to try to combine SVM approach with local features representation to gain advantages on bo...