| This paper proposes a new method to reduce training time for neural nets used as function approximators. This method relies on a geometrical control of Multilayer Perceptrons (MLP). A geometrical initializa-tion gives rst better starting points for the learning process. A geometrical parametriza-tion achieves then a more stable convergence. During the learning process, a dynamic geometrical c...

A reinforced concrete member in which the total span or shear span is especially small in relation to its depth is called a deep beam. In this study, a new approach based on the Adaptive Neural Fuzzy Inference System (ANFIS) is used to predict the shear strength of reinforced concrete (RC) deep beams. A constitutive relationship was obtained correlating the ultimate load with seven mechanical a...

This paper proposes a new method to reduce training time for neural nets used as function approximators. This method relies on a geometrical control of Multilayer Perceptrons (MLP). A geometrical initialization gives first better starting points for the learning process. A geometrical parametrization achieves then a more stable convergence. During the learning process, a dynamic geometrical con...

The purpose of this paper is to investigate the comparative geometrical dimensions of Chinese and Western cervical vertebrae. A Chinese neck model, based on MRI/CT scan images and frozen slice images from a 35-year-old male cadaver, was established and compared with literature data and a newlydeveloped Western neck finite element model. Results showed that the geometrical dimensions of Western ...

We provide a new solution for the famous Apollonius Tenth Problem. The problem is to construct a circle tangent to three given circles in the plane. An equivalence between analytical and geometric approaches to the solution is explored. A new analytical solution for the problem is presented and a step by step geometrical interpretation of this solution is provided. We show that this interpretat...

The complete range of various phyllotaxes exemplified in aquatic plants provide an opportunity to characterize the fundamental geometrical relationships operating in leaf patterning. A new polar-coordinate model was used to characterize the correlation between the shapes of shoot meristems and the arrangements of young leaf primordia arising on those meristems. In aquatic plants, the primary ge...

based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. further...

A tremendous amount of digital multimedia data is broadcasted daily over the internet. Since digital data can be very quickly and easily duplicated, intellectual property right protection techniques have become important and first appeared about fifty years ago (see [16] for an extended review). Digital watermarking was born. Since its inception, many watermarking techniques have appeared, in a...

Geometrically accurate and anatomically correct 3D models of the human bones are of great importance for medical research and practice in orthopedics and surgery. These geometrical models can be created by the use of techniques which can be based on input geometrical data acquired from volumetric methods of scanning (e.g., Computed Tomography (CT)) or on the 2D images (e.g., X-ray). Geometrical...