Book · January 1, 2018
Comprehensive introduction to the neural network models currently under intensive study for computational applications. It also provides coverage of neural network applications in a variety of problems of both theoretical and practical interest. ...
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Chapter · January 1, 2018
In recent years a number of methods developed in statistical mechanics have been applied to complex optimization problems. The results tend to be more in the form of general theorems and bounds than specific results for particular problems. They are noneth ...
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Chapter · January 1, 2018
This chapter reviews the notion of a landscape, a discussion of types and properties of landscapes, a description of some models for rugged landscapes, and finally a review of some novel optimization methods for finding the highest or lowest point on a rug ...
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Chapter · January 1, 2005
The Sherrington-Kirkpatrick model of a spin glass is solved by a mean field technique which is probably exact in the limit of infinite range interactions. At and above Tc the solution is identical to that obtained by Sherrington and Kirkpatrick (1975) usin ...
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Journal ArticlePsychological review · January 2003
Interval timing in operant conditioning is the learned covariation of a temporal dependent measure such as wait time with a temporal independent variable such as fixed-interval duration. The dominant theories of interval timing all incorporate an explicit ...
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Journal ArticleJournal of Statistical Physics · January 1, 1999
We examine the sources of error in the histogram reweighting method for Monte Carlo data analysis. We demonstrate that, in addition to the standard statistical error which has been studied elsewhere, there are two other sources of error, one arising throug ...
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Journal ArticleInternational Journal of Modern Physics C · January 1, 1999
We have developed a combinatoric matching method to find the exact groundstate energy for the 2-D Ising spin glass with the ±J distribution and equal numbers of positive and negative bonds. For the largest size (1800 × 1800 plaquettes of spins), we average ...
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Journal ArticleJournal of Economic Dynamics and Control · January 1, 1999
This paper presents results from an experimental computer simulated stock market. In this market artificial intelligence algorithms take on the role of traders. They make predictions about the future, and buy and sell stock as indicated by their expectatio ...
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Journal ArticlePsychological review · October 1994
The cumulative effects (CE) model explains free-operant choice by the ratio of total numbers of responses and reinforcements, a probability-like variable. Williams (1994) argues that the model is vulnerable to experiments that disprove melioration, a local ...
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Journal ArticlePhysica D Nonlinear Phenomena · August 1, 1994
We describe a model of a stockmarket in which independent adaptive agents can buy and sell stock on a central market. The overall market behavior, such as the stock price time series, is an emergent property of the agents' behavior. This approach to modell ...
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Journal ArticleJournal of Economic Dynamics and Control · January 1, 1994
This paper presents a comparative analysis of 30 computer trading programs that participated in a double auction tournament held at the Santa Fe Institute in 1990 and 1991. Our objective is to characterize the form of effective trading strategies in double ...
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Journal ArticlePsychological review · April 1993
Recurrent choice has been studied for many years. A static law, matching, has been established, but there is no consensus on the underlying dynamic process. The authors distinguish between dynamic models in which the model state is identified with directly ...
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Journal ArticleJournal of Physics A General Physics · December 1, 1990
The authors study a sliding block model incorporating constraints in an attempt to understand the slower than exponential relaxation observed in glassy systems. Blocks are free to slide along the axes of a regular lattice but cannot interpenetrate. They si ...
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Journal ArticleJournal of Physics A General Physics · December 1, 1990
The authors examine the problem of diffusion over a fluctuating barrier in the limit where the barrier fluctuations are extremely fast compared with all other timescales in the problem. In the white noise limit, the decay of probability from the metastable ...
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Journal ArticlePhysics Letters A · April 17, 1989
We investigate the problem of thermal activation over a fluctuating barrier. Three regimes are considered: the fluctuations slow compared to the mean crossing time τA of the average barrier height, fluctuations on roughly the same timescale as τ ...
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Journal ArticleJournal of Physics C Solid State Physics · December 1, 1985
The high-temperature Edwards-Anderson susceptibility series is studied for a diluted Ising spin-glass model. The model has +J, -J and 0 nearest-neighbour bonds, with probabilities c/2, c/2, 1-c respectively, on a d-dimensional hypercubic lattice. For d>or ...
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Journal ArticleJournal of Statistical Physics · March 1, 1985
We study a simple zero-temperature model for phase separation of a binary alloy, in which nearest-neighbor interchange can occur if the fraction of AB pairs is not thereby increased. We present analytic results for the one-dimensional case and numerical re ...
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Journal ArticlePhysical Review Letters · January 1, 1984
A class of models for relaxation in strongly interacting glassy materials is suggested. Degrees of freedom are divided into a sequence of levels such that those in level n+1 are locked except when some of those in level n find the right combination to rele ...
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Journal ArticleNature · July 1983
Crick and Mitchison have presented a hypothesis for the functional role of dream sleep involving an 'unlearning' process. We have independently carried out mathematical and computer modelling of learning and 'unlearning' in a collective neural network of 3 ...
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Journal ArticleJournal of Physics A Mathematical and General · December 1, 1982
Short-range spin systems with random interactions are considered. A simple proof is given showing that the free energy of almost every sample converges to the average free energy in the thermodynamic limit. A stronger criterion, thermodynamic convergence, ...
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Journal ArticleJournal of Applied Physics · December 1, 1982
A new algorithm has been developed to find ground state properties of finite two-dimensional lattices of Ising spins with +J, -J, or O interaction strengths. The algorithm is based on a list of all possible string assignments on a boundary which divides th ...
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Journal ArticleAdvances in Physics · January 1, 1982
The breakdown of ergodic behaviour is discussed as a general phenomenon in condensed matter physics. Broken symmetry is a particular case of this broken ergodicity. In a system that is non-ergodic on physical timescales the phase point is effectively confi ...
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Journal ArticleJournal of Physics F Metal Physics · December 1, 1981
Zero-temperature computer simulations are reported for the Sherrington-Kirkpatrick random Ising model of a spin glass, including an external field. Results are presented for the internal field distribution P(H), and for the ground state energy and magnetis ...
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Journal ArticleJournal of Physics C Solid State Physics · December 1, 1980
Computer simulation is used to examine the spatial distribution of frustrated plaquettes in a square lattice of random +1 and -1 bonds. While the bonds are uncorrelated, the frustrated plaquettes are not. The average separation of a frustrated plaquette fr ...
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Journal ArticleJournal of Physics F Metal Physics · December 1, 1979
The zero temperature probability distribution P(h) of internal magnetic fields is studied, both in the Sherrington-Kirkpatrick random Ising model of a spin glass and in its natural extension to classical vector spins. Theoretical predictions and computer s ...
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Journal ArticleJournal of Physics A General Physics · December 1, 1979
The replica method for random systems is critically examined, with particular emphasis on its application to the Sherrington-Kirkpatrick solution of a 'solvable' spin glass model. The procedure is improved and extended in several ways, including the avoida ...
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Journal ArticleJournal of Statistical Physics · July 1, 1979
The mean spherical approximation for the internal energy U of the classical one-component plasma is solved exactly in the limit γ ≫ 1, where γ is the usual Coulomb coupling parameter. The result {Mathematical expression} is consistent with DeWitt's empiric ...
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Journal ArticlePhilosophical Magazine · January 1, 1977
The Shernngton-Kirkpatrick model of a spin glass is solved by a mean field technique which is probably exact in the limit of infinite range interactions. At and above Tc the solution is identical to that obtained by Sherrington and Kirkpatrick ( ...
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Journal ArticlePhysical Review D · January 1, 1974
The properties of nuclear matter and dense neutron-star matter are studied by an approach which largely avoids the microscopic assumptions of nuclear-matter theory. The method is empirical, employing an extended form of the law of corresponding states to d ...
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Journal ArticleJournal of Chemical Physics · January 1, 1973
The exact solution of the mean spherical model integral equation is found for a system of charged hard spheres in a uniform neutralizing background. This may be considered as a simple example of a fluid with nonadditive hard sphere diameters. Analytic expr ...
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