This book presents selected chapters presented in two international conferences where more than 20 countries are represented by more than 100 participants, consisting of academic researchers and scientists working in industry. The conferences cover different areas related to the application of numerical analysis to practical problems in engineering, industry, environment, medical imaging, and new image and information technologies. Participants shared their recent contributions and their experience in different fields. The plenary speakers are very well known and most of them are editors or editors in chief of prestigious international journals (L. Reichel, Y. Saad, D. Szyld, H. Sadok, S. Serra-Capizzano.)

Description of the volumeThe subject of the book is to present selected papers, using two referees for each paper, that were presented during the two conference m2a25 held in Marrakech on February 2025 and n2ads held in Athens on April 2025. The accepted papers were in the topics of the conferences with special applications to data science.

The topics of interested were

• Completion Methods and Applications to Data Science.

• Inverse-Ill-posed Problems, Optimization.

• Applied Statistics, Applications to Engineering, Biodiversity, Imaging, Big Data, Machine Learning,

This book offers numerous benefits to future readers, particularly those interested in data driven. Readers gain a deep understanding of the mathematical principles that under data science techniques. This foundation help them not only use algorithms effectively but also understand why and how these algorithms work.

Covers hot topics in data science Considers applications in engineering, industry, environment, medical imaging Provides mathematical foundation of machine learning

Inhalt

Spectral theory of matrix-sequences: perspectives of the GLT analysis and beyond.- Proximal regularisation methods for linear equations in variable exponent Lebesgue spaces.- WGANMF-DO: matrix factorization with WGAN-GP and dual objective optimization for accuracy and diversity inrRecommender systems.- Extended block Hessenberg process for the evaluation of matrix functions.- Time Series forecasting of Cyprus tourism arrivals using statistical and machine learning methods.- Multidimensional extrapolated global proximal gradient and applications in image processing.- Machine learning approaches for early diagnosis of type 2 Diabetes.- Sign-Matrix Determinants: Remarks and Results.- Towards the investigation of threshold ramp secret sharing schemes through factorization of real polynomials.- An inverse two-dimensional electromagnetic scattering problem in chiral media for the reconstruction of a perfectly conducting body.- Parallel Schwarz alternating methods implemented on cloud architecture for solving the coupled problem of electrophoresis.- A bilevel piecewise linear quadratic optimization problem.- Computationally cheap estimates for quadratic and bilinear forms involving matrix inverse.- A numerical solution of an electromagnetic scattering problem for a penetrable chiral body in two-dimensions.- Tensor Krylov subspace methods via the T-product for large Sylvester tensor equations.- Block triangular preconditioning for inverse source problems in time-space fractional diusion equations.