Paul Fischer, Norbert Klasner:

A Generalized Minimum Disagreement Problem for Learning Applications

For applications in Machine Learning and forecasting the Minimum Disagreement problem plays a fundamental role. This is the combinatorial problem of selecting a best explanation for observed data from a set of possible ones. It has recently been shown that the Minimum Disagreement strategy can be outperformed by randomized strategies if the observed data is noisy. This new strategy amounts to finding not a single best explanation for the data, but to finding a number of good explanations which satisfy a pairwise independence condition. Here we show a general approach for solving this new combinatorial problem. We also show that for some classes the problem can be solved more efficiently by a problem specific approach.
Last update: 11/17/98. Norbert Klasner, klasner@lmi.ruhr-uni-bochum.de.

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