Improving the computational efficiency of birefringent model based on equivalent matrix and modified permittivity

2021 ◽  
Vol 488 ◽  
pp. 126819
Author(s):  
Yuhao Huang ◽  
Bei Hu ◽  
Shen Peng ◽  
Li Xia
Keyword(s):  
Computational Efficiency ◽  
Model Based

scholarly journals Rapid Epistatic Mixed Model Association Studies by Controlling Multiple Polygenic Effects

2020 ◽  
Author(s):  
Dan Wang ◽  
Hui Tang ◽  
Jian-Feng Liu ◽  
Shizhong Xu ◽  
Qin Zhang ◽  
...  
Keyword(s):  
Population Size ◽  
Computational Efficiency ◽  
Mixed Model ◽  
Association Studies ◽  
Approximate Algorithm ◽  
Source Codes ◽  
Model Based ◽  
Pairwise Interactions ◽  
Genome Wide ◽  
Model Algorithm

SummaryWe have developed a rapid mixed model algorithm for exhaustive genome-wide epistatic association analysis by controlling multiple polygenic effects. Our model can simultaneously handle additive by additive epistasis, dominance by dominance epistasis and additive by dominance epistasis, and account for intrasubject fluctuations due to individuals with repeated records. Furthermore, we suggest a simple but efficient approximate algorithm, which allows examination of all pairwise interactions in a remarkably fast manner of linear with population size. Application to publicly available yeast and human data has showed that our mixed model-based method has similar performance with simple linear model-based Plink on computational efficiency. It took less than 40 hours for the pairwise analysis of 5,000 individuals genotyped with roughly 350,000 SNPs with five threads on Intel Xeon E5 2.6GHz CPU.Availability and implementationSource codes are freely available at https://github.com/chaoning/GMAT.

An Algorithm for the Selection of Physical System Model Order Based on Desired State Accuracy and Computational Efficiency

2003 ◽  
Author(s):  
Polat Sendur ◽  
Jeffrey L. Stein ◽  
Huei Peng ◽  
Loucas S. Louca
Keyword(s):  
Computational Efficiency ◽  
Activity Index ◽  
Model Complexity ◽  
Assessment Procedure ◽  
Model Assessment ◽  
Model Accuracy ◽  
System Models ◽  
Index Reduction ◽  
Model Based ◽  
System Variables

In recent years, algorithms have been developed to help automate the production of dynamic system models. The focus of this development has been to create procedures and algorithms that use modeling metrics for generating minimum complexity models with physically meaningful parameters of dynamic systems (proper models). Existing algorithms, however, do not explicitly address the accuracy of the system variables, and validity of system models. The objective of this paper is to integrate a previously published accuracy and validation algorithm [9] with an energy based (activity index) reduction algorithm [2] to quantify model accuracy as a function of model complexity. In addition, a new metric for selecting the best model based on model accuracy and computational efficiency is introduced. A model of a Class VI International 4700 series delivery truck is used as an illustrative example. The results demonstrate that the proposed model assessment procedure not only provides the means for identifying the proper model based on accuracy and computational constraints, but also provides further evidence that practical systematic tools for improving the modeling process can be developed.

scholarly journals Application of Fuzzy Set Theory to Quantitative Analysis of Correctness of the Mathematical Model Based on the ADI Method during Solidification

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Xiaofeng Niu ◽  
Guanqian Wang ◽  
Wei Liang ◽  
Hua Hou ◽  
Hongxia Wang ◽  
...  
Keyword(s):  
Temperature Field ◽  
Computational Efficiency ◽  
Hamming Distance ◽  
Solidification Process ◽  
Time Step ◽  
Adi Method ◽  
Model Based ◽  
Alternating Direction ◽  
Simulation Results ◽  
Explicit Finite Difference

The explicit finite difference (EFD) method is used to calculate the casting temperature field during the solidification process. Because of its limited time step, the computational efficiency of the EFD method is lower than that of the alternating direction implicit (ADI) method. A model based on the equivalent specific heat method and the ADI method that improves computational efficiency is established. The error of temperature field simulation comes from model simplification, the acceptable hypotheses and calculation errors caused by different time steps, and the different mesh numbers that are involved in the process of numerical simulation. This paper quantitatively analyzes the degree of similarity between simulated and experimental results by the hamming distance (HD). For a thick-walled position, the time step influences the simulation results of the temperature field and the number of casting meshes has little influence on the simulation results of temperature field. For a thin-walled position, the time step has minimal influence on the simulation results of the temperature field and the number of casting meshes has a larger influence on the simulation results of temperature field.

Study on the theory, method and model for mechanical dynamic assembly reliability optimization

2014 ◽  
Vol 228 (16) ◽  
pp. 3019-3038 ◽  
Author(s):  
Chengwei Fei ◽  
Wenzhong Tang ◽  
Guangchen Bai
Keyword(s):  
Gas Turbine ◽  
Probabilistic Analysis ◽  
Computational Efficiency ◽  
Optimization Model ◽  
Optimization Design ◽  
Computing Time ◽  
Optimization Models ◽  
Reliability Optimization ◽  
Model Based ◽  
Dynamic Assembly

To improve the performance and reliability of gas turbine like an aeroengine, the multi-object multi-discipline (MOMD) reliability optimization design of high press turbine (HPT) blade-tip radial running clearance (BTRRC) was first accomplished based on the mechanical dynamic assembly reliability (MDAR) theory and distributed collaborative response surface method (DCRSM). Four optimization models of MDAR were developed based on the features of assembly machinery and the thought of DCRSM, which are, respectively, called as the direct reliability optimization model (denoted by M1), the multilayer reliability optimization models (denoted by M2), the direct reliability optimization model-based probabilistic analysis (denoted by M3), and the multilayer reliability optimization model-based probabilistic analysis (denoted by M4). Through the MDAR optimization design of BTRRC by the four standard optimization models, some conclusions are drawn as follows: (1) the DCRSM is proved to be effective and feasible for MOMD MDAR optimization design with high computational efficiency and precision; (2) all the reliability optimization results of BTRRC and assembly objects satisfy the requirements of optimization design, and the optimized BTTRC variations are reduced by about 10% and obey the normal distribution, which are quite promising in improving the design and control of HPT BTRRC; (3) in computational efficiency, the computing time of M1 and M3 is far less than those of M2 and M4, meanwhile M3 and M4 are superior to M1 and M2; (4) in computational accuracy, M1 and M2 are better than M3 and M4, as well as M2 and M4 are higher than M1 and M3 theoretically. The presented study does not only fulfill the HPT BTRRC dynamic assembly design from a probabilistic optimization perspective and improve the performance and reliability of gas turbine engine, but also provides a promising approach and four valuable optimization models for MDAR optimization design. Besides, the present efforts are of great significance in enriching the theory and method of mechanical reliability design.

scholarly journals Application of Improved Dynamic Substructure Finite Element Model-Based State-Space Techniques in Mistuned Blisks

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Bin Bai ◽  
Chuan hui Zhang ◽  
Guangwei Zhu ◽  
Qi liang Wu
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
State Space ◽  
Computational Efficiency ◽  
Element Model ◽  
Modal Strain Energy ◽  
Classical Dynamic ◽  
Reduced Order ◽  
Bladed Disk ◽  
Model Based

Aeroengine is a complex mechanical equipment, and it works at high temperature, pressure, rotational-speed, and severe loads. One of the core problems is that the vibration and mistuning of bladed disk lead to failure and affect the safety and reliability of aeroengine. Previously, one sector taken as the research object is not suitable; the integrally mistuned bladed disk (blisk) is taken as the research object is very necessary; however, the computational efficiency of mistuned blisk is very low. Therefore, a reduced-order model approach, i.e., an improved dynamic substructure finite element model-based state-space technique (IDSFEM-SST), is proposed to investigate the mistuned blisk. Firstly, the reduced-order substructure finite element model is established by this method, and then, the modal frequencies and modal strain energy amplitudes are investigated. Secondly, the maximum displacement responses are analyzed. Finally, the computational efficiency and accuracy of mistuned blisk via IDSFEM-SST is compared with that of the classical dynamic substructure finite element model and the high-fidelity finite element model to verify the effectiveness of this approach. This study has significance to the dynamic research and engineering practices for complex mechanical structures.

Representation, abstraction, and simple-minded sophisticates

2020 ◽  
Vol 43 ◽  
Author(s):  
Peter Dayan
Keyword(s):  
Decision Theory ◽  
Predictive Coding ◽  
Bayesian Decision Theory ◽  
Bayesian Decision ◽  
Model Based ◽  
Model Free

Abstract Bayesian decision theory provides a simple formal elucidation of some of the ways that representation and representational abstraction are involved with, and exploit, both prediction and its rather distant cousin, predictive coding. Both model-free and model-based methods are involved.

Quantitative Model-Based Image Analysis of NuMa Distribution Links Nuclear Organization with Cell Phenotype

2001 ◽  
Vol 7 (S2) ◽  
pp. 578-579
Author(s):  
David W. Knowles ◽  
Sophie A. Lelièvre ◽  
Carlos Ortiz de Solόrzano ◽  
Stephen J. Lockett ◽  
Mina J. Bissell ◽  
...  
Keyword(s):  
Image Analysis ◽  
Mammary Epithelial Cells ◽  
Nuclear Organization ◽  
Critical Role ◽  
Quantitative Model ◽  
Mammary Epithelial ◽  
Cell Phenotype ◽  
Proliferating Cells ◽  
Mitotic Apparatus ◽  
Model Based

The extracellular matrix (ECM) plays a critical role in directing cell behaviour and morphogenesis by regulating gene expression and nuclear organization. Using non-malignant (S1) human mammary epithelial cells (HMECs), it was previously shown that ECM-induced morphogenesis is accompanied by the redistribution of nuclear mitotic apparatus (NuMA) protein from a diffuse pattern in proliferating cells, to a multi-focal pattern as HMECs growth arrested and completed morphogenesis . A process taking 10 to 14 days.To further investigate the link between NuMA distribution and the growth stage of HMECs, we have investigated the distribution of NuMA in non-malignant S1 cells and their malignant, T4, counter-part using a novel model-based image analysis technique. This technique, based on a multi-scale Gaussian blur analysis (Figure 1), quantifies the size of punctate features in an image. Cells were cultured in the presence and absence of a reconstituted basement membrane (rBM) and imaged in 3D using confocal microscopy, for fluorescently labeled monoclonal antibodies to NuMA (fαNuMA) and fluorescently labeled total DNA.

Model-Based Clustering and Classification for Data Science

2019 ◽  
Author(s):  
Charles Bouveyron ◽  
Gilles Celeux ◽  
T. Brendan Murphy ◽  
Adrian E. Raftery
Keyword(s):  
Data Science ◽  
Model Based Clustering ◽  
Model Based ◽  
Clustering And Classification
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