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Summary LNCS 2810 Similarity Based Neural Networks for Applications in Computational Molecular Biology 1ST EDITON BY Igor Fischer ISBN 9783540408130 - Digital Download

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LNCS 2810 Similarity Based Neural Networks for
Applications in Computational Molecular Biology
1ST EDITON BY Igor Fischer ISBN 9783540408130
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, Similarity-Based Neural Networks for
Applications in Computational Molecular
Biology

Igor Fischer

Wilhelm-Schickard-Institut für Informatik, Universität Tübingen,
Sand 1, 72076 Tübingen, Germany




Abstract. This paper presents an alternative to distance-based neural
networks. A distance measure is the underlying property on which many
neural models rely, for example self-organizing maps or neural gas. How-
ever, a distance measure implies some requirements on the data which
are not always easy to satisfy in practice. This paper shows that a weaker
measure, the similarity measure, is sufficient in many cases. As an ex-
ample, similarity-based networks for strings are presented. Although a
metric can also be defined on strings, similarity is the established mea-
sure in string-intensive research, like computational molecular biology.
Similarity-based neural networks process data based on the same crite-
ria as other tools for analyzing DNA or amino-acid sequences.


1 Introduction

In respect to underlying mathematical properties, most artificial neural networks
used today can be classified as scalar product-based or distance-based. Of these,
multi-layer perceptrons and LVQ [1] are typical representatives.
In distance-based models, each neuron is assigned a pattern to which it is
sensitive. Appearance of the same or a similar pattern on the input results in
a high activation of that neuron — similarity being here understood as the
opposite of distance.
For numerical data, distance-based neural networks can easily be defined,
for there is a wide choice of distance measures, the Euclidean distance being
certainly the best known. In some applications, however, the data cannot be
represented as numbers or vectors. Although it may sometimes still be possible
to define a distance on them, such a measure is not always natural, in the sense
that it well represents relationships between data.
One such example are symbol strings, like DNA or amino-acid sequences
which are often subject to research in computational molecular biology. There, a
different measure – similarity – is usually used. It takes into account mutability of
symbols, which is determined through complex observations on many biologically
close sequences. To process such sequences with neural networks, it is preferable
to use a measure which is well empirically founded.

M.R. Berthold et al. (Eds.): IDA 2003, LNCS 2810, pp. 208–218, 2003.

c Springer-Verlag Berlin Heidelberg 2003

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