It is beneficial to classify brain images as healthy or pathological automatically, because 3D can generate so much information which time consuming and tedious for manual analysis. Among various imaging techniques, magnetic resonance (MR) the most suitable brain, it now widely applied in hospitals, helpful four ways of diagnosis, prognosis, pre-surgical, postsurgical procedures. There are automatic detection methods; however they suffer from low accuracy.Therefore, we proposed a novel...

Training of Artificial Neural Networks for large data sets is a time consuming task. Various approaches have been proposed to reduce the efforts, many them by applying parallelization techniques. In this paper we develop and analyze two novel parallel training Backpropagation neural networks face recognition. We focus on specific paralleliza- tion environments, using one hand OpenMP conventional multithreaded CPU CUDA GPU. Based our findings give guidelines efficient multicore GPU...

In this paper, we consider the existence of positive solutions for a singular tempered fractional equation with p-Laplacian operator. By constructing pair suitable upper and lower problem, some new results on including nonsingular cases are established. The asymptotic behavior solution is also derived, which falls in between two known curves. interesting points paper that nonlinearity may be time space variables corresponding operator can have kernel.

In this paper, we focus on the existence and asymptotic estimates of maximal minimal solutions for a coupled tempered fractional differential system with different orders. By introducing an order reduction technique some new growth conditions, establish results positive extremal system, meanwhile, also obtain estimate extreme solution by iterative technique, which possesses sharp estimate. particular, sequences converging to starting from two known initial values are easy compute. Moreover,...

In this paper, we focus on the existence of positive solutions for a class p-Laplacian tempered fractional diffusion equations involving lower integral operator and Riemann–Stieltjes boundary condition. By introducing certain new local growth conditions establishing an priori estimate Green’s function, several sufficient equation are derived by using fixed point theorem. Interesting points that contains condition involves integral, which can be changing-sign measure.

In this paper, we focus on the multiplicity of positive solutions for a singular tempered fractional initial-boundary value problem with p-Laplacian operator and changing-sign perturbation term. By introducing truncation function combing properties solution isomorphic linear equations, transform into problem, then existence results multiple are established by fixed point theorem in cone. It is worth noting that term only satisfies weaker Carathèodory conditions, which implies ℏ can be...

In this article, we investigate the iterative properties of positive solutions for a tempered fractional equation under case where boundary conditions and nonlinearity all involve derivatives unknown functions. By weakening basic growth condition, some new complete results on to are established, which include uniqueness existence solutions, sequence converging unique solution, error estimate solution convergence rate as well asymptotic behavior solution. particular, process is easy implement...

Abstract Taking users’ emotional needs into consideration, this research aims to propose a new method present product design features exactly and completely. On the basis of genetic algorithm integrated with back‐propagation (BP) neural networks, taking mobile phone as object, an optimization was finally designed. First, continuous discrete variables that describe phones were screened methods dimensions, coordinate label, morphological analysis. Forty three‐dimensional (3D) models designed...

In order to effectively depict the characteristics of bidirectional pedestrian flow, a novel flow model is proposed based on cellular automata. At first, according direction gain, velocity gain and herding calculation formula target position defined, walking rules by combining overtaking behavior are given in model. Meanwhile, actual channel used for experiments, where self-organizing effect formed observed. The simulation platform established study key factors influencing characteristics....

This study studies the no‐chattering finite‐time control for a fractional‐order non‐linear hydro‐turbine governing system (HTGS). First, an actual six‐dimensional HTGS model is introduced. Then, based on stability theorem and sliding mode control, novel robust terminal scheme proposed HTGS. Furthermore, by designing controller with differential form introducing hyperbolic tangent function, chattering phenomenon well‐suppressed. Finally, numerical simulations are employed to verify validity...

Abstract In this paper, we focus on the existence of positive solutions for a singular Hessian equation with negative augmented term. By finding more appropriate upper and lower solutions, not only overcome difficulty due to term but also remove critical condition required in existing work establish new results equations under study. Our improve complement many works.

Abstract In this article, we investigate the following nonlinear magnetic Schrödinger equations: <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mfenced open="{" close=""> <m:mrow> <m:mtable displaystyle="true"> <m:mtr> <m:mtd columnalign="left"> <m:msup> <m:mo>(</m:mo> <m:mo>−</m:mo> <m:mi>i</m:mi> <m:mo>∇</m:mo> </m:mrow> <m:mo>+</m:mo> <m:mi>A</m:mi> <m:mi>x</m:mi> <m:mo>)</m:mo> <m:mn>2</m:mn> </m:msup> <m:mi>u</m:mi> <m:mi>V</m:mi> <m:mo>=</m:mo> <m:msub>...

A recent variation of Transformer, Performer, scales Transformer to longer sequences with a linear attention mechanism. However, it is not compatible relative position encoding, which has advantages over absolute encoding. In this paper, we discuss possible ways add encoding Performer. Based on the analysis, propose PermuteFormer, Performer-based model that linearly long sequences. PermuteFormer applies position-dependent transformation queries and keys encode positional information into...

In this paper, on the basis of original genetic algorithm, an improved algorithm for Traveling Salesman Problem (TSP) is proposed. Firstly, diversity species ensured by amending calculation method individual fitness. Secondly, mutation operator combination shift and insertion mutation. Before crossover, checks whether degradation phenomenon will occur. Finally, experimental results further determine that above improvements provide a significant effect solving TSP.

Laminated rubber bearings are widely used for the mitigation of seismic damage large-scale structures and equipment. However, owing to flexibility in horizontal direction, traditional contacted transducer is difficult acquire displacement data accurately three directions, respectively. In this paper, three-dimensional measurement laminated bearing based on shaking table achieved by use a tri-camera high-speed videogrammetric system consisting complementary-metal-oxide-semiconductor (CMOS)...