Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Constrained Potts mean field systems and their electronic implementation

K Urahama1, T Yamada

  • 1Department of Computer Science and Electronics, Kyushu Institute of Technology, Fukuoka, Japan.

International Journal of Neural Systems
|September 1, 1994
PubMed
Summary

This study extends the Potts mean field approach to solve constrained combinatorial optimization problems. The new method guarantees legal local optimum solutions and performs comparably to the unconstrained version for maximum cut problems.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

K-winners-take-all circuit with O(N) complexity.

IEEE transactions on neural networks·1995
Same author

A gradient system solution to Potts mean field equations and its electronic implementation.

International journal of neural systems·1993
Same author

[A case of staphylococcal enterocolitis caused by methicillin resistant Staphylococcus aureus].

Hinyokika kiyo. Acta urologica Japonica·1992
Same author

[Primary carcinoma in situ of the ureter: a case report].

Hinyokika kiyo. Acta urologica Japonica·1992
Same author

[Significance of normal oral flora, particularly group oral streptococci as defense mechanism against infection in healthy individuals (normal defense mechanism by oral Streptococcus group)].

Kansenshogaku zasshi. The Journal of the Japanese Association for Infectious Diseases·1992
Same author

[Coronet status of digital radiography in chest medicine].

Nihon Kyobu Shikkan Gakkai zasshi·1992

Area of Science:

  • Computational Mathematics
  • Operations Research
  • Electronic Engineering

Background:

  • Combinatorial optimization problems with winner-takes-all constraints are often challenging to solve.
  • Existing Potts mean field approaches are limited to unconstrained problems.

Purpose of the Study:

  • To extend the Potts mean field approach for combinatorial optimization problems with additional constraints.
  • To develop a method that guarantees legal local optimum solutions for constrained problems.
  • To evaluate the performance of the extended method on constrained maximum cut problems.

Main Methods:

  • Incorporating Lagrange multipliers as extra variables into the Potts formulation.
  • Solving the extended Potts equations using constrained gradient descent differential systems.

Related Experiment Videos

  • Designing an analog electronic circuit based on the previous Potts circuit.

    • Main Results:

    • Theoretical proof that the gradient system always produces a legal local optimum solution.
    • The extended method's performance is theoretically evaluated for constrained maximum cut problems.
    • The lower bound of the cut size is proven to be the same as the unconstrained Potts scheme.

    Conclusions:

    • The extended Potts mean field approach effectively solves constrained combinatorial optimization problems.
    • The method ensures the satisfaction of additional constraints and produces valid local optima.
    • The analog circuit implementation offers a practical realization of the proposed method.