Density Estimation by Maximum Quantum Entropy
Author | : |
Publisher | : |
Total Pages | : 14 |
Release | : 1993 |
ISBN-10 | : OCLC:68214907 |
ISBN-13 | : |
Rating | : 4/5 (07 Downloads) |
Download or read book Density Estimation by Maximum Quantum Entropy written by and published by . This book was released on 1993 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new Bayesian method for non-parametric density estimation is proposed, based on a mathematical analogy to quantum statistical physics. The mathematical procedure is related to maximum entropy methods for inverse problems and image reconstruction. The information divergence enforces global smoothing toward default models, convexity, positivity, extensivity and normalization. The novel feature is the replacement of classical entropy by quantum entropy, so that local smoothing is enforced by constraints on differential operators. The linear response of the estimate is proportional to the covariance. The hyperparameters are estimated by type-II maximum likelihood (evidence). The method is demonstrated on textbook data sets.