Mathematical Analysis of Ultrafast Ultrasound Imaging [PDF]
SIAM Journal on Applied Mathematics, 2016 This paper provides a mathematical analysis of ultrafast ultrasound imaging. This newly emerging modality for biomedical imaging uses plane waves instead of focused waves in order to achieve very high frame rates.
Alberti, Giovanni S. +3 more
core +4 more sources
Project-based learning in training IT-personnel for the digital economy [PDF]
E3S Web of Conferences, 2023 The purpose of the study is to modernize IT personnel training to enhance the development of the digital economy by means of project-based learning methods. The objectives of the study are to harmonize the educational process with the needs of production
Balandin Dmitry +2 more
doaj +1 more source
Monte Carlo solution of heat conductivity problems with quadratic nonlinearity on the boundary of domain [PDF]
E3S Web of Conferences, 2023 In this work, we study the approach connected with branching Markov processes. Branching Markov random processes are created to solve boundary-value problems (BVR) with polynomial nonlinearities.
Rasulov Abdujabar +2 more
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Mathematical Analysis of Machine Learning Algorithms
, 2023 The mathematical theory of machine learning not only explains the current algorithms but can also motivate principled approaches for the future. This self-contained textbook introduces students and researchers of AI to the main mathematical techniques ...
Tong Zhang
semanticscholar +1 more source
Stability analysis of the coexistence equilibrium of a balanced metapopulation model
Scientific Reports, 2021 We analyze the stability of a unique coexistence equilibrium point of a system of ordinary differential equations (ODE system) modelling the dynamics of a metapopulation, more specifically, a set of local populations inhabiting discrete habitat patches ...
Shodhan Rao +2 more
doaj +1 more source
Incorporating Unmodeled Dynamics Into First-Principles Models Through Machine Learning
IEEE Access, 2021 First-principles modeling of dynamical systems is a cornerstone of science and engineering and has enabled rapid development and improvement of key technologies such as chemical reactors, electrical circuits, and communication networks.
Ward Quaghebeur +2 more
doaj +1 more source
Special Issue “Statistical Data Modeling and Machine Learning with Applications II”
Mathematics, 2023 Currently, we are witnessing rapid progress and synergy between mathematics and computer science [...]
Snezhana Gocheva-Ilieva +2 more
doaj +1 more source
Modelling line edge roughness in periodic line-space structures by Fourier optics to improve scatterometry [PDF]
Journal of the European Optical Society-Rapid Publications, 2014 In the present paper, we propose a 2D-Fourier transform method as a simple and efficient algorithm for stochastical and numerical studies to investigate the systematic impacts of line edge roughness on light diffraction pattern of periodic line-space ...
Gross H. +5 more
doaj +1 more source
Mathematics. 2023; 11(12):2670, 2023 A solution is given to a problem discussed by Brigati, Dolbeault, and Simonov [arXiv:2302.03926].
arxiv +1 more source
Nonlinear Inverse Problems for Equations with Dzhrbashyan–Nersesyan Derivatives
Fractal and Fractional, 2023 The unique solvability in the sense of classical solutions for nonlinear inverse problems to differential equations, solved for the oldest Dzhrbashyan–Nersesyan fractional derivative, is studied.
Vladimir E. Fedorov +2 more
doaj +1 more source