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Local References on the
Mean Field Method for
Combinatorial Optimization
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Complex
Systems Group
Department of Theoretical Physics
Lund University
Sweden |
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General papers on the mean field method
Traveling Salesman problem
Scheduling problems
Communication routing
Knapsack problems
Set Covering
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home page
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C. Peterson and B. Söderberg
Neural Optimization
LU TP 98-16 (to appear in The Handbook of Brain Research and Neural
Networks, (2nd edition), M.A. Arbib (ed.), Bradford Books/The MIT Press)
[ ps.gz
]
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C. Peterson
Combinatorial Optimization with Feedback Artificial Neural Networks
Proceedings of ICANN '95 International Conference on Artificial
Neural Networks, October 1995, Paris, France , eds. F. Fogelman-Soulie
and P. Gallinari, EC2 & Cie (Paris 1995)
[ abs,
ps.gz
]
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B. Söderberg
Optimization with Potts Neural Networks
Complexity in Physics and Technology, eds. M.S. Garrido and
R. Vilela Mendes, World Scientific, Singapore, 1992 181-190
[ absps.gz
]
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L. Gislén, C. Peterson and B. Söderberg
Rotor Neurons - Formalism and Dynamics
Neural Computation 4, 737-745 (1992)
[ abs,
ps.gz
]
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C. Peterson and B. Söderberg
A New Method for Mapping Optimization Problems onto Neural Networks
International Journal of Neural Systems 1, 3-22 (1989)
[ abs,
ps.gz
]
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E. Hartman and C. Peterson
Explorations of the Mean Field Theory Learning Algorithm
Neural Networks 2, 475-494 (1989)
[ abs
]
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Carsten Peterson
Parallel Distributed Approaches to Combinatorial Optimization -
Benchmark Studies on Traveling Salesman Problem
Neural Computation 2, 261-269 (1990)
[ abs,
ps.gz
] ]
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M. Lagerholm, C. Peterson and B.Söderberg
Statistical Properties of Unrestricted Crew Scheduling Problems
LU TP 97-11 (submitted to European Journal of Operational Research)
[ abs,
ps.gz
]
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M. Lagerholm, C. Peterson and B.Söderberg
Airline Crew Scheduling Using Potts Mean Field Techniques
LU TP 97-10 (submitted to European Journal of Operational Research)
[ abs,
ps.gz
]
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M. Lagerholm, C. Peterson and B. Söderberg
Airline Crew Scheduling with Potts Neurons
Neural Computation 9, 1589-1599 (1997)
[ abs,
ps.gz
]
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L. Gislén, C. Peterson and B. Söderberg
Complex Scheduling with Potts Neural Networks
Neural Computation 4, 805-831 (1992)
[ abs,
ps.gz
]
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L. Gislén, B. Söderberg and C. Peterson
Teachers and Classes with Neural Networks
International Journal of Neural Systems 1, 167-176 (1989)
[ abs,
ps.gz
]
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J. Häkkinen, M. Lagerholm, C. Peterson and B.
Söderberg
Local Routing Algorithms Based on Potts Neural Networks
LU TP 98-5 (submitted to IEEE Transactions on Neural Networks)
[ abs,
ps.gz
]
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J. Häkkinen, M. Lagerholm, C. Peterson and B. Söderberg
A Potts Neuron Approach to Communication Routing
Neural Computation 10, 1587-1599 (1998)
[ abs,
ps.gz
]
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M. Ohlsson and H. Pi
A study of the Mean Field Approach to Knapsack Problems
Neural Networks 10, 263-271 (1997)
[ abs,
ps.gz
]
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M. Ohlsson, C. Peterson and B. Söderberg
Neural Networks for Optimization Problems with Inequality Constrains
- the Knapsack Problem
Neural Computation 5, 331-339 (1993)
[ abs,
ps.gz
]
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Mattias Ohlsson, Carsten Peterson and Bo Söderberg
An Efficient Mean Field Approach to the Set Covering Problem
LU TP 98-29 (submitted to European Journal of Operations Research)
[ abs,
ps.gz
]
Last updated: Feb 11 1998
Mail comments and queries to mattias@thep.lu.se