Learning a spin glass: Determining Hamiltonians from metastable states
نویسندگان
چکیده
منابع مشابه
Learning a Spin Glass: Determining Hamiltonians from Metastable States
We study the problem of determining the Hamiltonian of a fully connected Ising Spin Glass of N units from a set of measurements, whose sizes needs to be O(N 2) bits. The student-teacher scenario, used to study learning in feed-forward neural networks, is here extended to spin systems with arbitrary couplings. The set of measurements consists of data about the local minima of the rugged energy l...
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In this letter we present a dynamical study of the structure of metastable states (corresponding to TAP solutions) in a mean-field spin–glass model. After reviewing known results of the statical approach, we use dynamics: starting from an initial condition thermalized at a temperature between the statical and the dynamical transition temperatures, we are able to study the relaxational dynamics ...
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2014 We consider an Ising spin glass chain at 0 temperature. The moments of the total number of metastable states and the typical number of metastable states at a given magnetization are calculated. We find that for all magnetizations less than or equal to mmax = 0.446042... there is an exponentially large number of metastable states. For magnetizations larger than mmax, there are no metastable...
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We study large deviations of the dynamical activity in the random orthogonal model. This is a fully connected spin-glass model with one-step replica symmetry-breaking behavior, consistent with the random first-order transition scenario for structural glasses. We show that this model displays dynamical (space-time) phase transitions between active and inactive phases, as demonstrated by singular...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 1998
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(98)00126-5