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METROPOLIS ALGORITHM [2 records]

Record 1 2023-11-01

English

Subject field(s)
  • Computer Mathematics
  • Computer Programs and Programming
  • Artificial Intelligence
CONT

Sample distribution can be obtained by means of Monte Carlo techniques such as the Metropolis algorithms. These algorithms sample the space of possible surfaces according to the probability distribution that is determined by the prior knowledge of the allowed class of surfaces, the model of noise and the observed data.

CONT

The Simulated Annealing algorithm proposed by [researchers] is an extension of the Metropolis algorithm used for the simulation of the physical annealing process and is specially applied to solve NP-hard problems where it is very difficult to find the optimal solution or even near-to-optimum solutions.

French

Domaine(s)
  • Mathématiques informatiques
  • Programmes et programmation (Informatique)
  • Intelligence artificielle
CONT

Inventé en 1953 [...] l'algorithme de Metropolis était d'abord destiné à faire calculer par des ordinateurs les équations d'états de mélanges de molécules en interactions. Il s'est depuis lors révélé bien adapté pour résoudre de nombreux problèmes de mécanique statistique et de chimie.

Spanish

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Record 2 2009-09-18

English

Subject field(s)
  • Computer Mathematics
  • Atomic Physics
CONT

We present a new Monte Carlo lattice model to study the folding of two-dimensional heteropolymer chains. Previous lattice model studies of two-dimensional chains have been performed on square grids using predefined "move sets" of allowed moves. The motion of the polymer chain in these models is thus highly constrained. To add greater flexibility, we use a triangular lattice and allow the chain to choose its own moves. Physically unrealistic moves are prevented by including kinetic energy effects in the Metropolis algorithm. From the results, we can characterize all of the possible one-and two-monomer moves and sort them according to relative importance. Greater flexibility in the lattice model produces several significant and interesting physical consequences.

French

Domaine(s)
  • Mathématiques informatiques
  • Physique atomique
CONT

Aperçu sur les méthodes de modélisation [...] Monte Carlo sur réseau : la diffusion des atomes par mécanisme lacunaire est décrite par des sauts atomiques discrets plutôt que par des trajectoires continues comme dans le cas de la dynamique moléculaire. Les fréquences des sauts des atomes sont déterminées par des calculs ab initio ou par la dynamique moléculaire. Cette simulation est relativement lente et ne prend pas en compte les déplacements collectifs.

Spanish

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