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# Counting probability distributions: differential geometry and model selection.

@article{Myung2000CountingPD, title={Counting probability distributions: differential geometry and model selection.}, author={In Jae Myung and Vijay Balasubramanian and M. A. Pitt}, journal={Proceedings of the National Academy of Sciences of the United States of America}, year={2000}, volume={97 21}, pages={11170-5} }

- Published 2000 in Proceedings of the National Academy of Sciences…

A central problem in science is deciding among competing explanations of data containing random errors. We argue that assessing the "complexity" of explanations is essential to a theoretically well-founded model selection procedure. We formulate model complexity in terms of the geometry of the space of probability distributions. Geometric complexity provides a clear intuitive understanding of several extant notions of model complexity. This approach allows us to reconceptualize the model… CONTINUE READING

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