Abstract: This article proposes a novel version of the popular method from the ever-so-famous homotopy analysis methods, namely Quotient Homotopy Analysis Method or simply QHAM, in order to provide ...

A new study finds that teenagers with higher intelligence scores develop specialized brain hemisphere functions more quickly than their peers. Researchers tracked changes in functional homotopy, the ...

As children grow into adolescence, corresponding regions on the left and right sides of their brain function less identically ...

Abstract: This paper proposes two homotopy methods for solving the compressed sensing (CS) problem, which combine the homotopy technique with the iterative hard thresholding (IHT) method. The homotopy ...

Glial-inspired algorithm for unsupervised classification and zero-shot prediction for nonstationary and chaotic dynamics. Utilizes simplicial homotopy theory and dynamical systems theory. Preprint of ...

Fractional differential equations can model various complex problems in physics and engineering, but there is no universal method to solve fractional models precisely. This paper offers a new hope for ...

The stable homotopy groups have important applications in the study of high-dimensional manifolds. See 2. Groups of Homotopy Spheres for more discussion of one such application. We use the C-motivic ...

The valuation of wrong-way risk is a challenging task in the financial industry. In this article, Takayuki Sakuma applies the homotopy analysis method to semi-linear partial differential equations to ...