scholarly journals Morphological Control and Simulation of Fractal Growth

2019 ◽  
Vol 37 (4) ◽  
pp. 846-850
Author(s):  
Min Zhou ◽  
Haili Zhang ◽  
Yihao Wang ◽  
Xiaolan Bao
Keyword(s):  
Quantitative Analysis ◽  
Growth Model ◽  
Fractal Theory ◽  
Particle Radius ◽  
Growth Morphology ◽  
Step Size ◽  
Fractal Growth ◽  
Morphological Control ◽  
Speed Up ◽  
The Way

The idea and method of control are introduced into the fractal theory from the perspective of quantitative analysis. In order to speed up aggregation, MDLA growth model with source items is put froward by altering the way of particle generating and killing of the standard DLA growth model. The effect of the iterative step size and particle radius on the growth morphology are discussed, and the growth morphology was simulated directionally.

scholarly journals Anomalies: Intertemporal Choice

1989 ◽  
Vol 3 (4) ◽  
pp. 181-193 ◽  
Author(s):  
George Loewenstein ◽  
Richard H Thaler
Keyword(s):  
Decision Making ◽  
Time Delay ◽  
Discount Rate ◽  
Intertemporal Choice ◽  
Discount Rates ◽  
Market Rate ◽  
Money Flows ◽  
Speed Up ◽  
The Way

We examine a number of situations in which people do not appear to discount money flows at the market rate of interest or any other single discount rate. Discount rates observed in both laboratory and field decision-making environments are shown to depend on the magnitude and sign of what is being discounted, on the time delay, on whether the choice is cast in terms of speed-up or delay, on the way in which a choice is framed, and on whether future benefits or costs induce savoring or dread.

A New Algorithm for Solving the Best-Fit Sphere of Optical Aspherical Surface

2011 ◽  
Vol 418-420 ◽  
pp. 1472-1477 ◽  
Author(s):  
Jie Qiong Lin ◽  
Jin Song Yang ◽  
Ming Ming Lu
Keyword(s):  
Material Removal ◽  
Radius Of Curvature ◽  
Variable Step Size ◽  
Rapid Convergence ◽  
Step Size ◽  
Cubic Surface ◽  
Variable Step ◽  
Speed Up ◽  
Best Fit ◽  
Best Fit Sphere

To solve the best-fit sphere (BFS) accurately is one of the technological keys for the generating and testing of optical aspherical surfaces. This paper presents a new algorithm for solving the BFS of aspherical surfaces to suppress some deficiencies in the existing BFS algorithms. In the proposed approach, a BFS is constructed, which passes through both sides of endpoints in the section of the aspherical surfaces, the center of the BFS is shifted along the x-axis, and its radius of curvature is automatically computed. The variable step size method is proposed to speed up the convergence of the iteration. Through numerically solving the BFS of conic and cubic surface, the advantages of the proposed approach are verified. The results show that the proposed approach is of rapid convergence, and high accuracy; it is not only suitable for the conic surface, but also for higher order aspheres. The obtained asphericity and material removal function is more suitable for the machining and test.

Quantitative Analysis of the Evolution of Surface Growth Morphology in LEEM

1998 ◽  
Vol 05 (06) ◽  
pp. 1151-1158 ◽  
Author(s):  
J. B. Hannon ◽  
G. L. Kellogg ◽  
M. C. Bartelt ◽  
N. C. Bartelt
Keyword(s):  
Electron Microscopy ◽  
Monte Carlo ◽  
Quantitative Analysis ◽  
Diffusion Equation ◽  
Monte Carlo Simulations ◽  
Low Energy ◽  
Growth Morphology ◽  
Equation Analysis ◽  
Low Energy Electron ◽  
And Diffusion

We describe Monte Carlo simulations and diffusion equation analysis which are useful in deriving kinetic parameters from low energy electron microscopy experiments. An analysis of the etching of the Si(001) surface with molecular oxygen is made, illustrating the power of these techniques.

scholarly journals Optimized RRT-A* Path Planning Method for Mobile Robots in Partially Known Environment

2019 ◽  
Vol 48 (2) ◽  
pp. 179-194 ◽  
Author(s):  
Ben Beklisi Kwame Ayawli ◽  
Xue Mei ◽  
Moquan Shen ◽  
Albert Yaw Appiah ◽  
Frimpong Kyeremeh
Keyword(s):  
Mobile Robots ◽  
Spline Interpolation ◽  
Optimal Path ◽  
Cubic Spline ◽  
Random Trees ◽  
Autonomous Mobile Robots ◽  
Complex Environments ◽  
Step Size ◽  
Ground Vehicle ◽  
Speed Up

This paper presents optimized rapidly exploring random trees A* (ORRT-A*) method to improve the performance of RRT-A* method to compute safe and optimal path with low time complexity for autonomous mobile robots in partially known complex environments. ORRT-A* method combines morphological dilation, goal-biased RRT, A* and cubic spline algorithms. Goal-biased RRT is modified by introducing additional step-size to speed up the generation of the tree towards the goal after which A* is applied to obtain the shortest path. Morphological dilation technique is used to provide safety for the robots while cubic spline interpolation is used to smoothen the path for easy navigation. Results indicate that ORRT-A* method demonstrates improved path quality compared to goal-biased RRT and RRT-A* methods. ORRT-A* is therefore a promising method in achieving autonomous ground vehicle navigation in unknown environments

scholarly journals G2Basy: A framework to improve the RNN language model and ease overfitting problem

PLoS ONE ◽  
2021 ◽  
Vol 16 (4) ◽  
pp. e0249820
Author(s):  
Lu Yuwen ◽  
Shuyu Chen ◽  
Xiaohan Yuan
Keyword(s):  
Language Model ◽  
Word Embedding ◽  
Language Models ◽  
Batch Size ◽  
Training Process ◽  
Improve Performance ◽  
Step Size ◽  
Learning Rates ◽  
Speed Up ◽  
Overfitting Problem

Recurrent neural networks are efficient ways of training language models, and various RNN networks have been proposed to improve performance. However, with the increase of network scales, the overfitting problem becomes more urgent. In this paper, we propose a framework—G2Basy—to speed up the training process and ease the overfitting problem. Instead of using predefined hyperparameters, we devise a gradient increasing and decreasing technique that changes the parameters training batch size and input dropout simultaneously by a user-defined step size. Together with a pretrained word embedding initialization procedure and the introduction of different optimizers at different learning rates, our framework speeds up the training process dramatically and improves performance compared with a benchmark model of the same scale. For the word embedding initialization, we propose the concept of “artificial features” to describe the characteristics of the obtained word embeddings. We experiment on two of the most often used corpora—the Penn Treebank and WikiText-2 datasets—and both outperform the benchmark results and show potential towards further improvement. Furthermore, our framework shows better results with the larger and more complicated WikiText-2 corpus than with the Penn Treebank. Compared with other state-of-the-art results, we achieve comparable results with network scales hundreds of times smaller and within fewer training epochs.

scholarly journals СИНТАКСИЧЕСКАЯ ЭКСПРЕССИЯ В КИНОСЛОГАНАХ РУССКОГО, АНГЛИЙСКОГО И ТУРЕЦКОГО ЯЗЫКОВ

2020 ◽  
Vol 4 (11(80)) ◽  
pp. 58-62
Author(s):  
F. Galihanova
Keyword(s):  
Quantitative Analysis ◽  
Rhetorical Question ◽  
The Way

The article examines the way expressive syntactic stylistic devices function in the Russian, English and Turkish comedies’ slogans released during 2010 – 2019. The paper aims at revealing the most popular expressive syntactic stylistic devices functioning in movie slogans. The methods used include comparison and identification of widely spread expressive syntactic stylistic means in the frame of movie slogans of the last decade. According to the results of the material studied the quantitative analysis of expressive syntactic stylistic means division in the Russian, English and Turkish movie slogans is provided. It is concluded that the universal stylistic means of expressive syntax in all three languages (Russian, English and Turkish) are aposiopesis, rhetorical question and exclamatory sentences.

scholarly journals A Novel Porous Media Permeability Model Based on Fractal Theory and Ideal Particle Pore-Space Geometry Assumption

Energies ◽  
2020 ◽  
Vol 13 (3) ◽  
pp. 510 ◽  
Author(s):  
Yongquan Hu ◽  
Qiang Wang ◽  
Jinzhou Zhao ◽  
Shouchang Xie ◽  
Hong Jiang
Keyword(s):  
Porous Media ◽  
Fractal Dimension ◽  
Fractal Theory ◽  
Great Influence ◽  
Particle Radius ◽  
Particle Model ◽  
Permeability Model ◽  
Minimum Value ◽  
Pore Area ◽  
The Impact

In this paper, a novel porous media permeability model is established by using particle model, capillary bundle model and fractal theory. The three-dimensional irregular spatial characteristics composed of two ideal particles are considered in the model. Compared with previous models, the results of our model are closer to the experimental data. The results show that the tortuosity fractal dimension is negatively correlated with porosity, while the pore area fractal dimension is positively correlated with porosity; The permeability is negatively correlated with the tortuosity fractal dimension and positively correlated with the integral fractal dimension of pore surface and particle radius. When the tortuosity fractal dimension is close to 1 and the pore area fractal dimension is close to 2, the faster the permeability changes, the greater the impact. Different particle arrangement has great influence on porous media permeability. When the porosity is close to 0 and close to 1, the greater the difference coefficient is, the more the permeability of different arrangement is affected. In addition, the larger the particle radius is, the greater the permeability difference coefficient will be, and the greater the permeability difference will be for different particle arrangements. With the increase of fractal dimension, the permeability difference coefficient first decreases and then increases. When the pore area fractal dimension approaches 2, the permeability difference coefficient changes faster and reaches the minimum value, and when the tortuosity fractal dimension approaches 1, the permeability difference coefficient changes faster and reaches the minimum value. Our research is helpful to further understand the connotation of medium transmission in porous media.

scholarly journals QUANTITATIVE IMMUNOCHEMICAL STUDIES WITH THE PURIFIED FACTOR IN MOUSE MILK CONNECTED WITH MAMMARY CARCINOMA

1952 ◽  
Vol 95 (4) ◽  
pp. 333-340 ◽  
Author(s):  
Michael Heidelberger ◽  
Samuel Graff ◽  
C. D. Haagensen ◽  
Keyword(s):  
Quantitative Analysis ◽  
Total Nitrogen ◽  
Mammary Carcinoma ◽  
Quantitative Data ◽  
Normal Mouse ◽  
Mouse Tissues ◽  
Immunological Specificity ◽  
Mouse Milk ◽  
Milk Factor ◽  
The Way

Antisera to the mouse milk factor (F), containing up to 0.5 mg. of antibody nitrogen per ml. are readily obtainable in rabbits, especially when adjuvants are added to the antigen. Quantitative data on the anti-F content of the sera are given, also on the total nitrogen precipitated by the non-casein fraction of C57 mouse milk which does not contain F. The antisera were also absorbed with casein fractions but the difficulties in the way of quantitative analysis were not overcome. Antisera to fractions of C57 mouse milk were also obtained and the reactions of F and the C57 proteins with these sera were studied. The results, as far as they go, are in accord with the earlier belief that the milk factor possesses an immunological specificity not present in normal mouse tissues.

The Readiness Growth Model: A Quantitative Analysis of Software Risk

1993 ◽  
Author(s):  
David R. Castellano ◽  
Paul E. Janusz ◽  
Sharyn L. Tolochko
Keyword(s):  
Quantitative Analysis ◽  
Growth Model ◽  
Software Risk
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