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Data Clustering using almost parameter free Differential Evolution technique

Sai A Hanuman, Vinaya A Babu, A Govardhan, S C Satapathy
2010 International Journal of Computer Applications  
It is clearly reveled from the simulation results that almost parameter free optimization technique such as Differential evolution could provide better performance compared to PSO where in many parameters  ...  The paper presents a comparative analysis of data clustering by Particle swarm optimization (PSO) and differential evolution (DE) techniques.  ...  Around the same time, Price and Storn proposed a new algorithm based on a differential operator, and called it Differential Evolution.  ... 
doi:10.5120/1310-1811 fatcat:un3lkguykvfxbf4tye2eslxwpe

Dynamic stiffness of chemically and physically ageing rubber vibration isolators in the audible frequency range

Leif Kari
2017 Continuum Mechanics and Thermodynamics  
by ordinary, non-fractional ageing evolution differential equations.  ...  volume evolution modelled by a nonlinear, fractional differential equation with relaxation time identical to that of the stress response and related to the fractional free volume by Doolittle equation  ...  in a nonlinear free volume differential evolution equation.  ... 
doi:10.1007/s00161-017-0569-7 fatcat:4p2dhzvr25dlvpj2kn5gis7eii

Cell dynamics simulation of Kolmogorov–Johnson–Mehl–Avrami kinetics of phase transformation: One and two-dimensional cases

Masao Iwamatsu, Masato Nakamura
2007 Materials Science & Engineering: A  
We find that the cell dynamics method reproduces the time evolution of the volume fraction of the transformed phase predicted by the KJMA theory.  ...  Now, the time evolutions for several combinations of the potential parameters η and all fit the straight lines with almost the same Avrami exponent n 2, which is very close to the theoretical prediction  ...  Now, the time evolutions for several combinations of the potential parameters η and all fit the straight lines with almost the same Avrami exponent n 3, which is very close to the theoretical prediction  ... 
doi:10.1016/j.msea.2006.02.331 fatcat:ncdubeom4rfibns4zams2l3qwe

Cell Dynamics Simulation of Kolmogorov–Johnson–Mehl–Avrami Kinetics of Phase Transformation

Masao Iwamatsu, Masato Nakamura
2005 Japanese Journal of Applied Physics  
We find that the cell dynamics method reproduces the time evolution of the volume fraction of the transformed phase predicted by the KJMA theory.  ...  The parameter ǫ determines the free energy difference ∆h, and the parameters η and ǫ determine the free energy barrier ∆E.  ...  The time evolutions for several combinations of the potential parameters η and ǫ show almost the same straight line with the Avrami exponent very close to the theoretically predicted n = 3, as shown inTable  ... 
doi:10.1143/jjap.44.6688 fatcat:aesozvybxngallydh3ngkmkwua

Stochastic particle acceleration and synchrotron self-Compton radiation in TeV blazars

K. Katarzyński, G. Ghisellini, A. Mastichiadis, F. Tavecchio, L. Maraschi
2006 Astronomy and Astrophysics  
Calculating the evolution of the electron spectrum self-consistently we can reproduce the observed spectra well with a number of free parameters that is comparable to or less than in the "classic stationary  ...  We analyse the influence of the stochastic particle acceleration for the evolution of the electron spectrum.  ...  This gives only five free parameters.  ... 
doi:10.1051/0004-6361:20054176 fatcat:kzlnvj3v35dixhgqyxth2e72pa

Application of a Derivative-Free Method with Projection Skill to Solve an Optimization Problem

Peng Fei, Sun Guo-Dong
2014 Atmospheric and Oceanic Science Letters  
In this study, the Differential Evolution (DE) algorithm, which is a derivative-free algorithm and has been applied to obtain CNOPs for exploring the uncertainty of terrestrial ecosystem processes, was  ...  The results showed that the CNOPs obtained by the DE algorithm were nearly the same as those obtained by the SPG2 algorithm in terms of their spatial distributions and nonlinear evolutions.  ...  Recently, a derivative-free global optimization approach, the Differential Evolution (DE) algorithm, has been employed to obtain the CNOP-Ps satisfying box constraint conditions by using a dynamic global  ... 
doi:10.1080/16742834.2014.11447214 fatcat:2fefpmntnzcu5paqc7r7wytwxy

Minimum free-energy path of homogenous nucleation from the phase-field equation

Masao Iwamatsu
2009 Journal of Chemical Physics  
We use a simple square-gradient free-energy functional with a quartic local free-energy function as an example and study the time evolution of a single nucleus placed within a metastable environment.  ...  By monitoring the evolution of the size of the nucleus and the free energy of the system simultaneously, we can easily deduce the free-energy barrier as a function of the size of the sub- and the super-critical  ...  In order to study the evolution or the regression of a single nucleus 16, 17 and the reaction-path of nucleation called the minimum free-energy path (MFEP), we will use the partial differential equation  ... 
doi:10.1063/1.3158471 pmid:19566166 fatcat:2x7kj4q5anc77cmhj4ap3gggra

Simulation of Transient Enhanced Diffusion of Boron Induced by Silicon Self-Implantation

Masashi Uematsu
1997 Japanese Journal of Applied Physics  
Using a unified set of parameters, the simulation explains some complex characteristics of TED; that is, the enhancement is independent of the implant dose at short annealing times, while it increases  ...  The kinetics of cluster dissolution and growth are combined with the kick-out mechanism for boron diffusion, and the decrease in the cluster evolution rate with time is taken into account.  ...  This reaction together with a kinetic equation to describe the time evolution of the self-interstitial cluster [2] leads to the set of coupled partial differential equations: ---klfCi-klbCsC1 at acs (3  ... 
doi:10.1143/jjap.36.l982 fatcat:qzhmohz56badzmzbnnbp6e5oiy

Page 697 of Mathematical Reviews Vol. , Issue 83b [page]

1983 Mathematical Reviews  
in the case of stochastic differential equations describing the evolution of spins in random magnetic fields.  ...  The latter states that among all stationary random fields the Gibbs states are characterized by the fact that they minimize a suitable free energy.  ... 

Galaxy luminosity evolution: How much is due to model choice?

S. Andreon
2004 Astronomy and Astrophysics  
data but the latter do not unambiguously derive its flavour if a differential luminosity evolution between bright and faint galaxies is allowed.  ...  We show that the LF parameters (slope, characteristic magnitude and their evolution) and errors depend on assumptions in a way seldom recognized in literature.  ...  Appendix A: Q = 0, i.e. a non-evolving M * For completeness, we also compute the best fit parameters in case of a non-evolving M * (i.e. Q = 0).  ... 
doi:10.1051/0004-6361:20031748 fatcat:eu2irnfig5em3bdxni2nlmx7fq

Mechanical Amorphization and Recrystallization of Mn-Co(Fe)-Ge(Si) Compositions

Vidal-Crespo, Ipus, Blázquez, Conde
2019 Metals  
The phase evolution of the systems with the milling time was analyzed using X-ray diffraction. Thermal stability of the final products was studied using differential scanning calorimetry.  ...  However, while the presence of Si stabilized the Mn-type phase, mechanical recrystallization was observed in a Si-free composition leading to the formation of a MnCo(Fe)Ge intermetallic (Pnma space group  ...  Average values of lattice parameters of the different phases are shown in Table 2 . Figure 4 shows the evolution of the Mössbauer spectra with the milling time.  ... 
doi:10.3390/met9050534 fatcat:lc33iehggfhnnlqgz4lwf5m6eq

Synthetic Minority Oversampling Technique Based on Adaptive Local Mean Vectors and Improved Differential Evolution

Junnan Li
2022 IEEE Access  
Second, an improved differential evolution is proposed to modify and improve detected suspicious noise.  ...  However, they still have the following issues: a) most methods depend on too many parameters; b) most methods fail to detect suspicious noise effectively and modify them; c) interpolation of almost all  ...  Compared with related work [10, 30, 31] , the proposed improved differential evolution is parameter-free and converges faster.  ... 
doi:10.1109/access.2022.3187699 fatcat:yjgpljbo3rb37d5m6ywu4phepe

Cell dynamics approach to the formation of metastable phases during phase transformation

M. Iwamatsu
2005 Physical Review E  
Soc. 52, 118 (1969)] based on the construction of a common tangent of the free energy curve.  ...  Several shapes of the free energy function h(ψ) for several values of the parameter ǫ are shown in Fig. 1 .  ...  A similar effect of noise on the time-scale of the evolution was observed in the TDGL model of nucleation [8] for a non-conserved order parameter.  ... 
doi:10.1103/physreve.71.061604 pmid:16089745 fatcat:rhilk7lcfnae3p44iebr2kqbay

Numerical Simulations of Galaxy Formation: Cooling, Heating, Star Formation [article]

Anatoly Klypin
1997 arXiv   pre-print
The system depends on four parameters a i , b i and on two initial conditions: x 0 , y 0 . Thus, six "free parameters" define the evolution of the system in general.  ...  They depend one on the other in a simple, but nonlinear way, which involves four parameters a 1 , a 2 , b 1 , b 2 . The evolution of the system is defined by two differential equations.  ... 
arXiv:astro-ph/9712281v1 fatcat:z4izxynajvelthwjj6srpuxsba

Population-based Optimization for Kinetic Parameter Identification in Glycolytic Pathway in Saccharomyces cerevisiae [article]

Ewelina Weglarz-Tomczak, Jakub M. Tomczak, Agoston E. Eiben, Stanley Brul
2020 arXiv   pre-print
The ordinary differential equations that describe rates of the reactions in the model include a set of parameters.  ...  Our approach can deal with the identification of the non-measurable parameters as well as with discovering deviation of the parameters.  ...  Next, we described recently published extension of the differential evolution called Reversible Differential Evolution (RevDE) [39] .  ... 
arXiv:2010.06456v1 fatcat:qrv4rzrfkbhzjmcj2dg6pmbpfq
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