NeuroCOLT

Neural Networks and Computational Learning Theory

 

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NeuroCOLT Technical Report NC-TR-02-131


2002-131
On Learning from Ambigious Information
Peter Auer


ABSTRACT

We investigate a variant of the PAC learning model where the learner has to learn from ambiguous information. The ambiguity is introduced by assuming that the learner does not receive single instances with their correct labels as training data, but that the learner receives tuples of instances where a tuple has a negative label if all instances of the tuple should be labeled as negative and a tuple has a positive label if at least one instance of the tuple should be labeled as positive. Thus a positive tuple is ambiguous since it is not known which of its instances is a positive instance.

Such ambiguous information is for example relevant in learning
problems for drug design. We present an improved algorithm for
learning axis-parallel rectangles in this model of ambiguous
information. In the drug design domain such rectangles represent the shapes of molecules with certain properties.


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