Optimal capacity of the Blume-Emery-Griffiths perceptron

¹Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Belgium. Desire.Bolle@fys.kuleuven.ac.be

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 12, 2003

Abstract:

A Blume-Emery-Griffiths perceptron model is introduced and its optimal capacity is calculated within the replica-symmetric Gardner approach, as a function of the pattern activity and the embedding stability parameter. The stability of the replica-symmetric approximation is studied via the analog of the de Almeida-Thouless line. A comparison is made with other three-state perceptrons.

Related Concept Videos

Articles linked to this work by shared authors, journal, and citation graph.

Spectra of sparse regular graphs with loops.

Physical review. E, Statistical, nonlinear, and soft matter physics·2011

Localization transition in symmetric random matrices.

Physical review. E, Statistical, nonlinear, and soft matter physics·2011

Small-world hypergraphs on a bond-disordered Bethe lattice.

Physical review. E, Statistical, nonlinear, and soft matter physics·2008

Adaptive thresholds for neural networks with synaptic noise.

International journal of neural systems·2007

Thermodynamics of spin systems on small-world hypergraphs.

Physical review. E, Statistical, nonlinear, and soft matter physics·2007

Criticality on networks with topology-dependent interactions.

Physical review. E, Statistical, nonlinear, and soft matter physics·2006

See all related articles

Related Experiment Videos

Optimal capacity of the Blume-Emery-Griffiths perceptron

Related Concept Videos

Spectra of sparse regular graphs with loops.

Localization transition in symmetric random matrices.

Small-world hypergraphs on a bond-disordered Bethe lattice.

Adaptive thresholds for neural networks with synaptic noise.

Thermodynamics of spin systems on small-world hypergraphs.

Criticality on networks with topology-dependent interactions.

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Polynomially Quasi-mth-Helton class of Hilbert spaces operators.

Narrowing the gap between analytically convenient and naturalistic stimuli.

Finite-time and predefined-time dynamical systems for solving strongly pseudomonotone mixed equilibrium problems.

BWs-ADC: The algebraic diagrammatic construction for the polarization propagator using a size-consistent Brillouin-Wigner partitioning up to third order in perturbation theory.

Explicit, Machine-Learned Two-Body Potentials for Molecular Simulations.

Relational nonlinear almost contractions of Lakshmikantham-Ćirić type and applications to boundary value problems.

Related Experiment Videos

Optimal capacity of the Blume-Emery-Griffiths perceptron

Abstract:

Related Concept Videos

Related Articles