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Commentary on Sanborn and Chater: Posterior Modes Are Attractor Basins
Posterior Modes Attractor Basins
2017/8/25
Sanborn and Chater [1] propose an interesting
theory of cognitive and brain function
based on Bayesian sampling instead
of asymptotic Bayesian inference. Their
proposal unifies many current observ...
Are Rules a Thing of the Past?:The Acquisition of Verbal Morphology by an Attractor Network
Thing of the Past Verbal Morphology Attractor Network
2015/6/19
This paper investigates the ability of a connectionist attractor network to learn a system analogous to part of the system of English verbal morphology. The model learned to produce phonological repre...
Generalization with Componential Attractors:Word and Nonword Reading in an Attractor Network
Generalization with Componential Attractors Word and Nonword Reading Attractor Network
2015/6/19
Networks that learn to make familiar activity patterns into stable attractors have proven useful in accounting for many aspects of normal and impaired cognition. However, their ability to generalize i...
Polynomial Level-Set Method for Attractor Estimation
Attractor Estimation Level-Set Method
2015/6/19
In this study, we present a polynomial level-set method for attractor estimation. This method uses the sub-level representation of sets. The problem of flowing these sets under the advection map of a ...
The attractor mechanism in Gauss-Bonnet gravity
A black hole gravitational coupling system the second derivative
2014/12/20
We study extremal black hole solutions of D = 5 Gauss-Bonnet gravity coupled to a system of gauge and scalar fields. As in Einstein gravity, we find that the values of the scalar fields on the horizon...
Hierarchical control based output synchronization of coexisting attractor networks
Hierarchical control passive control composite Lyapunov function theNewton-Leipnik equation attractor
2012/8/10
This paper introduces the concept of hierarchical control based output
synchronization of coexisting attractor networks. Under the new framework, each
dynamical node is made passive through intra co...
Biomolecular events in cancer revealed by attractor metagenes
Biomolecular events attractor metagenes Quantitative Methods
2012/5/3
Mining gene expression profiles has proven valuable for identifying metagenes, defined as linear combinations of individual genes, serving as surrogates of biological phenotypes. Typically, such metag...
A Novel Strange Attractor with a Stretched Loop
Novel Strange Attractor Stretched Loop Chaotic Dynamics
2012/4/26
The paper introduces a new 3D strange attractor topologically different from any other known chaotic attractors. The intentionally constructed model of three autonomous first-order differential equati...
Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators
synchronization Kuramoto model Fokker-Planck PDE global attractor inertial manifold
2011/10/9
Abstract: We study the dynamics of the large N limit of the Kuramoto model of coupled phase oscillators, subject to white noise. We introduce the notion of shadow inertial manifold and we prove their ...
A 1-dimensional Peano continuum which is not an IFS attractor
Fractal Peano continuum Iterated Function System IFS-attractor
2011/9/15
Abstract: Answering an old question of M.Hata, we construct an example of a 1-dimensional Peano continuum which is not homeomorphic to an attractor of IFS.
The Mass Distribution of the Great Attractor as Revealed by a Deep NIR Survey
Distribution Great Attractor Revealed Deep Survey
2011/9/28
This paper presents the analysis of a deep near-infrared J,H,Ks-imaging survey (37.5 sq deg) aimed at tracing the galaxy distribution of the Great Attractor (GA) in the Zone of Avoidance along the so-...
D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck
connected sum Morse cobordism D-brane of A-type Polchinski-Grothendieck Ansatz
2011/1/17
In [L-Y5] (D(6): arXiv:1003.1178 [math.SG]) we introduced the notion of Azumaya C1-manifolds with a fundamental module and morphisms therefrom to a complex manifold. In the current sequel, we use this...
We study the attractor flow and near horizon geometry of two-charge small black holes in heterotic string theory. The Hessian of Sen's entropy function with respect to the moduli fields has standard ...
Induced Gravity and the Attractor Dynamics of Dark Energy/Dark Matter
Cosmology and Extragalactic Astrophysics (astro-ph.CO) General Relativity and Quantum Cosmology (gr-qc)
2010/12/29
Attractor solutions that give dynamical reasons for dark energy to act like the cosmological constant, or behavior close to it, are interesting possibilities to explain cosmic acceleration.
Time-Dependent Attractor for the Oscillon Equation
Time-Dependent Attractor Oscillon Equation
2010/12/6
We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Oscillon equation @ttu(x, t) + H@tu(x, t) − e−2Ht@xxu(x, t) + V ′(u(x, t)) = 0, x ∈ (0, 1), t...