General Bounds on the Mutual Information Between a Parameter and n Conditionally Independent Observations Export

@inproceedings{citeulike:2355132, abstract = {Each parameter ` in an abstract parameter space \Theta is associated with a different probability distribution on a set Y . A parameter ` is chosen at random from \Theta according to some a priori distribution on \Theta, and n conditionally independent random variables Y n = Y 1 ; : : : Yn are observed with common distribution determined by `. We obtain bounds on the mutual information between the random variable \Theta, giving the choice of parameter, and the random variable Y n , giving ...}, author = {Haussler, David and Opper, Manfred}, booktitle = {Computational Learing Theory}, citeulike-article-id = {2355132}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.3405}, keywords = {probabilistic-models, statistics}, pages = {402--411}, posted-at = {2008-02-08 23:38:03}, priority = {0}, title = {General Bounds on the Mutual Information Between a Parameter and n Conditionally Independent Observations}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.3405}, year = {1995} }

TY - CONF ID - citeulike:2355132 L3 - citeulike-article-id:2355132 N2 - Each parameter ` in an abstract parameter space \Theta is associated with a different probability distribution on a set Y . A parameter ` is chosen at random from \Theta according to some a priori distribution on \Theta, and n conditionally independent random variables Y n = Y 1 ; : : : Yn are observed with common distribution determined by `. We obtain bounds on the mutual information between the random variable \Theta, giving the choice of parameter, and the random variable Y n , giving ... EP - 411 TI - General Bounds on the Mutual Information Between a Parameter and n Conditionally Independent Observations T2 - Computational Learing Theory SP - 402 KW - probabilistic-models KW - statistics AU - Haussler, David AU - Opper, Manfred PY - 1995/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.3405 ER -