AIMC Topic: Mathematics

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A New Wavelet Collocation Algorithm for Solving a Nonlinear Boundary Value Problem of the Human Corneal Shape.

Nonlinear dynamics, psychology, and life sciences
The Hermite wavelet method (HWM) is introduced in this study to solve a nonlinear differential equation determining the human corneal morphology. The changes in curvature of the human cornea in hypotony, normal intraocular pressure, glaucoma, and oth...

Survey of semi-tensor product method in robustness analysis on finite systems.

Mathematical biosciences and engineering : MBE
Recently, the theory of semi-tensor product (STP) method of matrices has received much attention from variety communities covering engineering, economics and industries, etc. This paper describes a detailed survey on some recent applications of the S...

Physics-informed neural networks based on adaptive weighted loss functions for Hamilton-Jacobi equations.

Mathematical biosciences and engineering : MBE
Physics-informed neural networks (PINN) have lately become a research hotspot in the interdisciplinary field of machine learning and computational mathematics thanks to the flexibility in tackling forward and inverse problems. In this work, we explor...

Fuzzy logic and Gagné learning hierarchy for assessing mathematics skills.

Science progress
This study developed a fuzzy logic and Gagné learning hierarchy (FL-GLH) for assessing mathematics skills and identifying learning barrier points. Fuzzy logic was used to model the human reasoning process in linguistic terms. Specifically, fuzzy logi...

[Information Mathematics for Machine Learning].

Igaku butsuri : Nihon Igaku Butsuri Gakkai kikanshi = Japanese journal of medical physics : an official journal of Japan Society of Medical Physics
This manuscript is a supplement to the machine learning course at JSMP Medical Physics Summer School held in 2019. The idea of Kulbuck-Leibler divergence, a key concept in machine learning, is introduced with mutual information.

Fuzzy Logic to Determine the Likelihood of Survival for Trauma Injury Patients.

Studies in health technology and informatics
A system to determine the likelihood of survival for trauma injury patients is being developed. It uses a fuzzy logic approach that can model complex processes without reliance on sophisticated mathematical formulations and may have the potential to ...

Functional geometric morphometric analysis of masticatory system ontogeny in papionin primates.

Anatomical record (Hoboken, N.J. : 2007)
The three-dimensional configuration of the primate masticatory system is constrained by the need to maximize bite forces while avoiding distraction of the temporomandibular joint (TMJ). Within these bounds, shape variation has predictable effects on ...