By Nigel Allinson

This is the 3rd Workshop on Self-Organising Maps (WSOM) and its comparable ideas. the former have been held in Helsinki (1997 and 1999) and proven the power of the SOM as some of the most renowned and robust thoughts for unsupervised development acceptance and knowledge visualisation. those conferences not just acted as a exhibit for the most recent advances in SOM thought and for illustrating its great variety of applicability, but in addition as venues the place a lot casual and fruitful interplay may ensue. it really is attention-grabbing to watch the improvement of the unique SOM, and this notable growth confrrms the originality and perception of Teuvo Kohonen's pioneering paintings. With the diversity and caliber of the papers during this quantity, the level is decided for one more very profitable assembly. This quantity is an everlasting checklist of all of the contributions offered in the course of WSOM'OI held on the college of Lincolnshire and Humberside, thirteen - 15 June, 2001. The college is the latest of England's universities however it is positioned within the center of 1 of our oldest towns - based through the Romans and ignored via the towering mass of its medieval cathedral. basically Lincoln has continually been a centre for the wealthy agricultural heartland of britain; notwithstanding, it was once the birthplace, 186 years in the past, of George Boole. So WSOM'OI is continuous Lincoln's lengthy and honourable culture of advancing medical understanding.

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The banking system may amplify output effects as exchange rate shocks can also trigger credit crunches. Poor creditor's protection may cause capital outflows in the aftermath of the crisis that would reduce the current account deficit causing further contractions in aggregate demand. The effect of the demand reduction on output depends on the ability to export the excess of output, which depends on the country's terms of trade. The recovery from the crisis would be speed up by the return of the foreign capital, which depends on the behavior of foreign interest rates.

1 Introduction and Problem Domain Normal walking depends on a continual interchange between mobility and stability. Any abnormality restricting the normal free mobility of a joint or altering either the timing or intensity of muscle action creates an abnormal gait. Abnormal gait may be due to an injury, disease, pain or problems of motor control. The subject's ability to compensate for the abnormality determines the amount of functionality retained. However, when these compensations introduce penalties in joint strain, muscle overuse, lack of normal muscle growth or soft tissue contracture, then clinical intervention becomes a necessity.

2 Self-Organizing Maps for Structured Data We shall use lowercase bold letters to denote vectors, uppercase bold letters to denote matrices, and calligraphic letters for representing graphs. A data structure Y is a directed acyclic graph (DAG) whose vertices are labeled by vectors of real-valued numbers which either represent numerical or categorical variables. Subscript notation will be used when referencing the labels attached to vertices in a data structure. Hence Yv denotes the vector labeling vertex v E vert(Y), where vert(·) denotes the set of vertices of the DAG y.

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