Classification of helical structures

The classification of helical structures is of fundamental importance in several domains including natural sciences, engineering and medicine. Helixes are complicated structures to separate due to their highly nonlinear temporal nature. Several studies have examined the famous two-spiral problem using several types of neural architectures. It has been observed that neural networks can be reliably tested on such benchmarks to get estimates of their true ability for application for the real world problems. Past experiences on the use of neural networks has shown that the raw helix data needs significant transformation before good results are possible using a neural network. In this paper, we consider the classification of two spirals in three dimension using standard neural networks. The input features are extracted from the helix data on its direction and distance between successive points. The experiments test the neural network solution on a range of helixes that differ from the helix learnt to various extents.

[1]  Jiancheng Jia,et al.  Solving two-spiral problem through input data representation , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[2]  David J. Evans,et al.  Fast learning artificial neural network (FLANN II) using the nearest neighbour recall , 1994, Neural Parallel Sci. Comput..

[3]  Lihui Chen,et al.  Solving two-spiral problem through input data encoding , 1995 .

[4]  Sameer Singh A Single Nearest Neighbor Fuzzy Approach for Pattern Recognition , 1999, Int. J. Pattern Recognit. Artif. Intell..

[5]  Christian Lebiere,et al.  The Cascade-Correlation Learning Architecture , 1989, NIPS.

[6]  David S. Touretzky,et al.  Advances in neural information processing systems 2 , 1989 .

[7]  Dean A. Pomerleau,et al.  What's hidden in the hidden layers? , 1989 .

[8]  K. Lang,et al.  Learning to tell two spirals apart , 1988 .

[9]  Sameer Singh Effect of noise on generalisation in massively parallel fuzzy systems , 1998, Pattern Recognit..

[10]  Chuen-Tsai Sun,et al.  A neuro-fuzzy classifier and its applications , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

[11]  S. Singh Massively parallel fuzzy systems: the case of three spiral pattern recognition , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[12]  Sameer Singh,et al.  2D spiral pattern recognition with possibilistic measures , 1998, Pattern Recognit. Lett..