Solving optimization problems with mean field methods

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

A brief review is given for the use of feed-back artificial neural networks (ANN) to obtain good approximate solutions to combinatorial optimization problems. The key element is the mean field approximation (MFT), which differs from conventional methods and "feels" its ways towards good solutions rather than fully or partly exploring different possible solutions. The methodology, which is illustrated for the graphs bisection and knapsack problems, is easily generalized to Potts systems. The latter is related to the deformable templates method, which is illustrated with the track finding problem. The mean field approximation is based on a variational principle, which also turns out to be very profitable when computing correlations in polymers.

Detaljer

Författare
  • Carsten Peterson
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Beräkningsmatematik
Originalspråkengelska
Sidor (från-till)570-580
Antal sidor11
TidskriftPhysica A: Statistical Mechanics and its Applications
Volym200
Utgivningsnummer1-4
StatusPublished - 1993 nov 15
PublikationskategoriForskning
Peer review utfördJa