WebIn fact, Chernoff distance is the best achievable exponent in the Bayesian error probability and it is more accurate than Bhattacharyya distance. In this paper, we design Chernoff … Both the Bhattacharyya distance and the Bhattacharyya coefficient are named after Anil Kumar Bhattacharyya, a statistician who worked in the 1930s at the Indian Statistical Institute. He developed the method to measure the distance between two non-normal distributions and illustrated this with the classical … See more In statistics, the Bhattacharyya distance measures the similarity of two probability distributions. It is closely related to the Bhattacharyya coefficient which is a measure of the amount of overlap between two See more • "Bhattacharyya distance", Encyclopedia of Mathematics, EMS Press, 2001 [1994] • Bhattacharyya's distance measure as a precursor of genetic distance measures, Journal of Biosciences, 2004 • Statistical Intuition of Bhattacharyya's distance See more For probability distributions $${\displaystyle P}$$ and $${\displaystyle Q}$$ on the same domain $${\displaystyle {\mathcal {X}}}$$, the Bhattacharyya distance is defined as See more • Bhattacharyya angle • Kullback–Leibler divergence • Hellinger distance • Mahalanobis distance See more

Quantum Chernoff bound metric for the XY model at finite …

Webmore difficult to compute Chernoff distance. The -divergence can differ much more from the Chernoff distance while the more difficult-to-compute Bhattacharyya distance can … Webof the three candidates for a quantum Chernoff bound discussed in [18]. We prove the main theorem in Section 3. Recently, Audenaert et al. have shown in [1]that in accordance with our conjecture stated in a previous version of the present work, [17], the lower bound is indeed achievable. This justifies referring to it as the quan-tum Chernoff ... smallpox plan

Spectral distance measures between Gaussian processes

WebJan 30, 2013 · Computing the Chernoff information requires to solve an optimization problem that is numerically approximated in practice. We consider the Chernoff … WebSpectral distance measures between continuous-time vector Gaussian processes. A new expression for the Chernoff distance between two continuous-time stationary vector Gaussian processes that contain a common white noise component and have equal means is derived and it is shown that the I and J -divergence can be easily evaluated in the ... WebJan 20, 2014 · Since calculating this probability of error is often intractable, several techniques have been devised to bound it with closed-form formula, introducing thereby measures of similarity and divergence between distributions like the Bhattacharyya coefficient and its associated Bhattacharyya distance. hilberry theatre detroit mi