161 research outputs found
Fractal dimension of domain walls in the Edwards-Anderson spin glass model
We study directly the length of the domain walls (DW) obtained by comparing
the ground states of the Edwards-Anderson spin glass model subject to periodic
and antiperiodic boundary conditions. For the bimodal and Gaussian bond
distributions, we have isolated the DW and have calculated directly its fractal
dimension . Our results show that, even though in three dimensions
is the same for both distributions of bonds, this is clearly not the case for
two-dimensional (2D) systems. In addition, contrary to what happens in the case
of the 2D Edwards-Anderson spin glass with Gaussian distribution of bonds, we
find no evidence that the DW for the bimodal distribution of bonds can be
described as a Schramm-Loewner evolution processes.Comment: 6 pages, 5 figures. Accepted for publication in PR
Generalization properties of finite size polynomial Support Vector Machines
The learning properties of finite size polynomial Support Vector Machines are
analyzed in the case of realizable classification tasks. The normalization of
the high order features acts as a squeezing factor, introducing a strong
anisotropy in the patterns distribution in feature space. As a function of the
training set size, the corresponding generalization error presents a crossover,
more or less abrupt depending on the distribution's anisotropy and on the task
to be learned, between a fast-decreasing and a slowly decreasing regime. This
behaviour corresponds to the stepwise decrease found by Dietrich et al.[Phys.
Rev. Lett. 82 (1999) 2975-2978] in the thermodynamic limit. The theoretical
results are in excellent agreement with the numerical simulations.Comment: 12 pages, 7 figure
Analisis Faktor-faktor Eksternal Yang Mempengaruhi Keputusan Konsumen Dalam Memilih Belanja Di Assalaam Hypermarket
The purpose of this study was to determine the influence of cultural, reference groups, family and social class factors, either partially or simultan to consumer decision in choosing shopping in Assalaam Hypermarket. The analytical tool used in this study were: Multiple linear regression test, Test t, Test F and The coefficient of determination (R2) or Adjusted R Square. The results of data analysis concludes that the cultural, reference groups, family and social class variables influence the purchasing decisions of consumers on Assalam Hypermarket, either partially or simultan, Cultural Variables become the dominant factor in the purchase decision. Suggestions that emerged in this study were The management should pay more attention to factors such as cultural community grows in accordance with decisions of private consumption, the reference group is able to provide encouragement to consume, the number of family members and their effects on individual consumption decisions, and social class potential segments that many make purchases at Assalam hypermarket and the manager also acan develop a plan of activities to encourage consumers to get used to make purchases at Assalam hypermarket.
Keywords: Cultural, Reference Group, Family, Social Class, Consumer Decision Making
Statistical Mechanics of Soft Margin Classifiers
We study the typical learning properties of the recently introduced Soft
Margin Classifiers (SMCs), learning realizable and unrealizable tasks, with the
tools of Statistical Mechanics. We derive analytically the behaviour of the
learning curves in the regime of very large training sets. We obtain
exponential and power laws for the decay of the generalization error towards
the asymptotic value, depending on the task and on general characteristics of
the distribution of stabilities of the patterns to be learned. The optimal
learning curves of the SMCs, which give the minimal generalization error, are
obtained by tuning the coefficient controlling the trade-off between the error
and the regularization terms in the cost function. If the task is realizable by
the SMC, the optimal performance is better than that of a hard margin Support
Vector Machine and is very close to that of a Bayesian classifier.Comment: 26 pages, 12 figures, submitted to Physical Review
Biologically Inspired Radiation Reflector
A thermal protection system (TPS) comprising a mixture of silicon carbide and SiOx that has been converted from Si that is present in a collection of diatom frustules and at least one diatom has quasi-periodic pore-to-pore separation distance d(p-p) in a selected range. Where a heat shield comprising the converted SiC/SiOx frustules receives radiation, associated with atmospheric (re)entry, a portion of this radiation is reflected so that radiation loading of the heat shield is reduced
Bound State and Order Parameter Mixing Effect by Nonmagnetic Impurity Scattering in Two-band Superconductors
We investigate nonmagnetic impurity effects in two-band superconductors,
focusing on the effects of interband scatterings. Within the Born
approximation, it is known that interband scatterings mix order parameters in
the two bands. In particular, only one averaged energy gap appears in the
excitation spectrum in the dirty limit. [G. Gusman: J. Phys. Chem. Solids {\bf
28} (1967) 2327.] In this paper, we take into account the interband scattering
within the -matrix approximation beyond the Born approximation in the
previous work. We show that, although the interband scattering is responsible
for the mixing effect, this effect becomes weak when the interband scattering
becomes very strong. In the strong interband scattering limit, a two-gap
structure corresponding to two order parameters recovers in the superconducting
density of states. We also show that a bound state appears around a nonmagnetic
impurity depending on the phase of interband scattering potential.Comment: 28pages, 10 figure
Properties of dense partially random graphs
We study the properties of random graphs where for each vertex a {\it
neighbourhood} has been previously defined. The probability of an edge joining
two vertices depends on whether the vertices are neighbours or not, as happens
in Small World Graphs (SWGs). But we consider the case where the average degree
of each node is of order of the size of the graph (unlike SWGs, which are
sparse). This allows us to calculate the mean distance and clustering, that are
qualitatively similar (although not in such a dramatic scale range) to the case
of SWGs. We also obtain analytically the distribution of eigenvalues of the
corresponding adjacency matrices. This distribution is discrete for large
eigenvalues and continuous for small eigenvalues. The continuous part of the
distribution follows a semicircle law, whose width is proportional to the
"disorder" of the graph, whereas the discrete part is simply a rescaling of the
spectrum of the substrate. We apply our results to the calculation of the
mixing rate and the synchronizability threshold.Comment: 14 pages. To be published in Physical Review
Ground-state topology of the Edwards-Anderson +/-J spin glass model
In the Edwards-Anderson model of spin glasses with a bimodal distribution of
bonds, the degeneracy of the ground state allows one to define a structure
called backbone, which can be characterized by the rigid lattice (RL),
consisting of the bonds that retain their frustration (or lack of it) in all
ground states. In this work we have performed a detailed numerical study of the
properties of the RL, both in two-dimensional (2D) and three-dimensional (3D)
lattices. Whereas in 3D we find strong evidence for percolation in the
thermodynamic limit, in 2D our results indicate that the most probable scenario
is that the RL does not percolate. On the other hand, both in 2D and 3D we find
that frustration is very unevenly distributed. Frustration is much lower in the
RL than in its complement. Using equilibrium simulations we observe that this
property can be found even above the critical temperature. This leads us to
propose that the RL should share many properties of ferromagnetic models, an
idea that recently has also been proposed in other contexts. We also suggest a
preliminary generalization of the definition of backbone for systems with
continuous distributions of bonds, and we argue that the study of this
structure could be useful for a better understanding of the low temperature
phase of those frustrated models.Comment: 16 pages and 21 figure
- …