The Little-Hopfield neural network programmed with Horn clauses is studied. We argue that the energy landscape of the system, corresponding to the inconsistency function for logical interpretations ...of the sets of Horn clauses, has minimal ruggedness. This is supported by computer simulations.
Synaptic weights for neurons in logic programming can be calculated either by using Hebbian learning or by Wan Abdullah's method. In other words, Hebbian learning for governing events corresponding ...to some respective program clauses is equivalent with learning using Wan Abdullah's method for the same respective program clauses. In this paper we will evaluate experimentally the equivalence between these two types of learning through computer simulations.
Knowledge could be gained from experts, specialists in the area of interest, or it can be gained by induction from sets of data. Automatic induction of knowledge from data sets, usually stored in ...large databases, is called data mining. Data mining methods are important in the management of complex systems. There are many technologies available to data mining practitioners, including Artificial Neural Networks, Regression, and Decision Trees. Neural networks have been successfully applied in wide range of supervised and unsupervised learning applications. Neural network methods are not commonly used for data mining tasks, because they often produce incomprehensible models, and require long training times. One way in which the collective properties of a neural network may be used to implement a computational task is by way of the concept of energy minimization. The Hopfield network is well-known example of such an approach. The Hopfield network is useful as content addressable memory or an analog computer for solving combinatorial-type optimization problems. Wan Abdullah 1 proposed a method of doing logic programming on a Hopfield neural network. Optimization of logical inconsistency is carried out by the network after the connection strengths are defined from the logic program; the network relaxes to neural states corresponding to a valid interpretation. In this article, we describe how Hopfield network is able to induce logical rules from large database by using reverse analysis method: given the values of the connections of a network, we can hope to know what logical rules are entrenched in the database.
Kinetic Economies Abdullah, Wan Ahmad Tajuddin Wan; Khidzir, Sidiq Mohamad
arXiv.org,
10/2007
Paper, Journal Article
Odprti dostop
We study a minimalist kinetic model for economies. A system of agents with local trading rules display emergent demand behaviour. We examine the resulting wealth distribution to look for non-thermal ...behaviour. We compare and contrast this model with other similar models.
We study the
scattering from low to ultrahigh energy in the framework of Higgs Triplet Model (HTM). We add the contribution of charged Higgs boson exchange to the total cross section of the ...scattering. We obtain the upper bound
in this process from low energy experiment. We show that by using the upper bound obtained, the charged Higgs contribution can give enhancements to the total cross section with respect to the SM prediction up to 5.16 % at
E
≤10
14
eV and maximum at
and would help to determine the feasibility experiments to discriminate between SM and HTM at current available facilities.
Love before Sex Abdullah, Wan Ahmad Tajuddin Wan
12/2004
Journal Article
Odprti dostop
Much has been debated about the benefit of sexual over asexual reproduction
in terms of evolutionary fitness. Here we focus on the advantage that may be
brought about by the process of mating, where ...the choosing of mates contributes
to the increase in fitness in a constructive way. We carry out computer
simulations of such mating systems and investigate, on one hand, how mate
phenotypes contribute to offspring fitness, and, on the other hand, how
selection affects mate phenotypes. We discuss how helpful such a mechanism may
be in determining trajectories on rugged energy landscapes leading to global
optimum.
We study the $\bar{\nu}_e-e$ scattering from low to ultrahigh energy in the
framework of Higgs Triplet Model (HTM). We add the contribution of charged
Higgs boson exchange to the total cross section ...of the scattering. We obtain
the upper bound $h_{ee}/M_{H^\pm}\lesssim2.8\times10^{-3}GeV^{-1}$ in this
process from low energy experiment. We show that by using the upper bound
obtained, the charged Higgs contribution can give enhancements to the total
cross section with respect to the SM prediction up to 5.16% at $E\leq10^{14}$
eV and maximum at $s\approx M_{H^\pm}^2$ and would help to determine the
feasibility experiments to discriminate between SM and HTM at current available
facilities.
PDF
