@InProceedings{RS88a, author = { Ronald L. Rivest and Robert H. Sloan }, title = { A New Model for Inductive Inference }, pages = { 13--27 }, url = { http://www.tark.org/proceedings/tark_mar7_88/p13-rivest.pdf }, booktitle = { Proceedings Second Annual Conference on Theoretical Aspects of Rationality and Knowledge }, date = { 1988 }, publisher = { Morgan Kaufmann }, editor = { Moshe Y. Vardi }, OPTyear = { 1988 }, OPTmonth = { March }, eventdate = { 1988-03-07/1988-03-09 }, eventtitle = { TARK II }, venue = { Asilomar, Pacific Grove, California }, organization = { TARK }, abstract = { We introduce a new model for inductive inference, by combining a Bayesian approach for representing the current state of knowledge with a simple model for the computational cost of making predictions from theories. We investigate the optimization problem: how should a scientist divide his time between doing experiments and deducing predictions for promising theories. We propose an answer to this question, as a function of the relative costs of making predictions versus performing experiments. We believe our model captures many of the qualitative characteristics of ``real'' science. \par We believe that this model makes two important contributions. First, it allows us to study how a scientist might go about acquiring knowledge in a world where (as in real life) there are costs associated with both performing experiments and with computing the predictions of various theories. \par This model also lays the groundwork for a rigorous treatment of a machine-implementable notion of ``subjective probability''. Subjective probability is at the heart of probability theory [5]. Previous treatments have not been able to handle the difficulty that subjective probabilities can change as the result of ``pure thinking''; our model captures this (and other effects) in a realistic manner. In addition, we begin to provide an answer to the question of how to trade-off ``thinking'' versus ``doing''---a question that is fundamental for computers that must exist in the world and learn from their experience. }, }