Self-Organising Maps (SOM)

CHAIR: DAVID PEARSON


Time: Tuesday, March 22nd, 16h30-18h10

Paper ID   Title
   
SOM-1 The Growing Hierarchical Self-Organizing Feature Maps And Genetic Algorithms for Large Scale Power System security
SOM-2 3D Self Organizing Convex Neural Network Architectures
SOM-3 Novel Learning Algorithm Aiming at Generating a Unique Units Distribution in Standard SOM
SOM-4 SOM-Based Estimation of Meteorological Profiles
SOM-5 An Efficient Heuristic for the Traveling Salesman Problem Based on a Growing SOM-like Algorithm


SOM-1
 
Title: The Growing Hierarchical Self-Organizing Feature Maps And Genetic Algorithms for Large Scale Power System security
Author(s): M. Boudour,
A. Hellal
Abstract: This paper proposes a new methodology which combines supervised learning, unsupervised learning and genetic algorithm for evaluating power system dynamic security. Based on the concept of stability margin, pre-fault power system conditions are assigned to the output neurons on the two-dimensional grid with the growing hierarchical self-organizing map technique (GHSOM) via supervised ANNs which perform an estimation of post-fault power system state. The technique estimates the dynamic stability index that corresponds to the most critical value of synchronizing and damping torques of multimachine power systems. ANN-based pattern recognition is carried out with the growing hierarchical self-organizing feature mapping in order to provide an adaptive neural net architecture during its unsupervised training process. Numerical tests, carried out on a IEEE 9 bus power system are presented and discussed. The analysis using such method provides accurate results and improves the effectiveness of system security evaluation.


SOM-2
 
Title: 3D Self Organizing Convex Neural Network Architectures
Author(s): F. Boudjemaï,
P. Biela Enberg,
J. G. Postaire
Abstract: Surface modeling and structure representation from unorganized sample points are key problems in many applications for whose neural networks are recently starting a gradual breakthrough. Our purpose is the development of innovative self organizing neural network architecture for surface modeling. We propose an original neural architecture and algorithm inspired from Kohonen's self organizing maps, based on dynamic neighborhood propagation along with an adaptative learning and repulsion process applied to a generalized mesh structure that will lead to a topological definition of the realistic surface given as an input.


SOM-3
 
Title: Novel Learning Algorithm Aiming at Generating a Unique Units Distribution in Standard SOM
Author(s): Kirmene Marzouki,
Takeshi Yamakawa
Abstract: Self-organizing maps, SOMs, are a data visualization technique developed to reduce the dimensions of data through the use of self-organizing neural networks. However, one of the limitations of Self Organizing Maps algorithm, is that every SOM is different and finds different similarities among the sample vectors each time the initial conditions are changed. In this paper, we propose a modification of the SOM basic algorithm in order to make the resulted mapping invariant to the initial conditions. We extend the neighborhood concept to processing units, selected in a fashionable manner, other than those commonly selected relatively to the immediate surroundings of the best matching unit. We also introduce a new learning function for the newly introduced neighbors. The modified algorithm was tested on a color classification application and performed very well in comparison with the traditional SOM.


SOM-4
 
Title: SOM-Based Estimation of Meteorological Profiles
Author(s): T. Tambouratzis,
G. Tambouratzis
Abstract: The task of estimating the meteorological profile of any location of interest within a specified area is undertaken. Assuming that the meteorological profiles of a sufficient number of representative reference locations within the area are available, the proposed methodology is based on (a) the organisation of the meteorological profiles of the reference locations employing a self-organising map (SOM) and (b) the classification of the most salient morphological characteristics of the reference locations. The meteorological profile of any novel location of interest is approximated by a weighted average of the meteorological profiles represented on the SOM for those reference locations whose morphological characteristics most closely match the morphological characteristics of the location of interest. The proposed methodology is evaluated by comparing the accuracy of meteorological profile estimation with that of existing estimation techniques as well as with the actual meteorological profiles of the locations of interest.


SOM-5
 
Title: An Efficient Heuristic for the Traveling Salesman Problem Based on a Growing SOM-like Algorithm
Author(s): C. Garcia,
J . Moreno
Abstract: A growing self-organizing map neural network, enhanced with local search heuristic is proposed as an efficient traveling salesman problem solver. A ring structure of processing units with an initial small set of units is evolved in time with a Kohonen type adaptation dynamics together with a simple growing rule in the number of processing units. The result is a neural network heuristic for the TSP with a computational complexity of O(n^2), comparable to other reported SOM-like networks. The resulting tour from the SOM network is enhanced by the application of a simple greedy 2-Opt local search. Experiments over a broad set of TSP instances are carried out. The obtained experimental results show a solution accuracy equivalent to that of the best SOM based heuristics reported in the literature.