23,278 research outputs found
Discovering Regression Rules with Ant Colony Optimization
The majority of Ant Colony Optimization (ACO) algorithms for data mining have dealt with classification or clustering problems. Regression remains an unexplored research area to the best of our knowledge. This paper proposes a new ACO algorithm that generates regression rules for data mining applications. The new algorithm combines components from an existing deterministic (greedy) separate and conquer algorithm—employing the same quality metrics and continuous attribute processing techniques—allowing a comparison of the two. The new algorithm has been shown to decrease the relative root mean square error when compared to the greedy algorithm. Additionally a different approach to handling continuous attributes was investigated showing further improvements were possible
Compatible orders and fermion-induced emergent symmetry in Dirac systems
We study the quantum multicritical point in a (2+1)-dimensional Dirac system
between the semimetallic phase and two ordered phases that are characterized by
anticommuting mass terms with and symmetry, respectively.
Using expansion around the upper critical space-time dimension of
four, we demonstrate the existence of a stable renormalization-group fixed
point, enabling a direct and continuous transition between the two ordered
phases directly at the multicritical point. This point is found to be
characterized by an emergent symmetry for arbitrary values of
and and fermion flavor numbers , as long as the corresponding
representation of the Clifford algebra exists. Small -breaking
perturbations near the chiral fixed point are therefore irrelevant. This
result can be traced back to the presence of gapless Dirac degrees of freedom
at criticality, and it is in clear contrast to the purely bosonic fixed
point, which is stable only when . As a by-product, we obtain
predictions for the critical behavior of the chiral universality classes
for arbitrary and fermion flavor number . Implications for critical
Weyl and Dirac systems in 3+1 dimensions are also briefly discussed.Comment: 5+2 pages, 1 figure, 1 tabl
Comment on ``Critical behavior of a two-species reaction-diffusion problem''
In a recent paper, de Freitas et al. [Phys. Rev. E 61, 6330 (2000)] presented
simulational results for the critical exponents of the two-species
reaction-diffusion system A + B -> 2B and B -> A in dimension d = 1. In
particular, the correlation length exponent was found as \nu = 2.21(5) in
contradiction to the exact relation \nu = 2/d. In this Comment, the symmetry
arguments leading to exact critical exponents for the universality class of
this reaction-diffusion system are concisely reconsidered
Fresh look at randomly branched polymers
We develop a new, dynamical field theory of isotropic randomly branched
polymers, and we use this model in conjunction with the renormalization group
(RG) to study several prominent problems in the physics of these polymers. Our
model provides an alternative vantage point to understand the swollen phase via
dimensional reduction. We reveal a hidden Becchi-Rouet-Stora (BRS) symmetry of
the model that describes the collapse (-)transition to compact
polymer-conformations, and calculate the critical exponents to 2-loop order. It
turns out that the long-standing 1-loop results for these exponents are not
entirely correct. A runaway of the RG flow indicates that the so-called
-transition could be a fluctuation induced first order
transition.Comment: 4 page
Correlation of eigenstates in the critical regime of quantum Hall systems
We extend the multifractal analysis of the statistics of critical wave
functions in quantum Hall systems by calculating numerically the correlations
of local amplitudes corresponding to eigenstates at two different energies. Our
results confirm multifractal scaling relations which are different from those
occurring in conventional critical phenomena. The critical exponent
corresponding to the typical amplitude, , gives an almost
complete characterization of the critical behavior of eigenstates, including
correlations. Our results support the interpretation of the local density of
states being an order parameter of the Anderson transition.Comment: 17 pages, 9 Postscript figure
- …