Contributions to Proceedings:
F. Xaver, C. Mecklenbräuker, P. Gerstoft, G. Matz:
"Weiss-Weinstein Bounds for Various Priors";
in: "9th IEEE Sensor Array and Multichannel Signal Processing Workshop (IEEE SAM 2016)",
IEEE Xplore,
2016, (invited),
1
- 5.
English abstract:
We address analytic solutions of the Weiss-Weinstein bound (WWB), which lower bounds the mean squared error of Bayesian inferrers. The bound supports discrete, absolutely continuous, and singular continuous probability distributions, the latter corresponding to joint estimation and detection. We present new analytical solutions for truncated Gaussian,
Laplace, categorical, uniform, and Bernoulli distributions.
We focus on sparse signals modeled by a Laplace prior as used in Bayesian LASSO methods, priors of truncated Gaussian densities, and uninformative priors.
In general, finding the tightest WWB of a model is a non-convex optimization problem. Hence, we show numerical examples of known and new WWBs to gain additional insight.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1109/SAM.2016.7569714
Electronic version of the publication:
http://publik.tuwien.ac.at/files/PubDat_249329.pdf
Created from the Publication Database of the Vienna University of Technology.