Academic Commons

Reports

Measuring Uncertainty Without a Norm

Werschulz, Arthur G.

Traub, Wasilkowski, and Wozniakowski have shown how uncertainty can be defined and analyzed without a norm or metric. Their theory is based on two natural and non-restrictive axioms. We show that these axioms induce a family of pseudometrics, and that balls of radius E are (roughly) the E-approximations to the solution. In addition, we show that a family of pseudometrics is necessary, even for the problem of computing x such that | f(x) | < E , where f is a real function.

Subjects

Files

More About This Work

Academic Units
Computer Science
Publisher
Department of Computer Science, Columbia University
Series
Columbia University Computer Science Technical Reports, CUCS-035-82
Published Here
October 26, 2011
Academic Commons provides global access to research and scholarship produced at Columbia University, Barnard College, Teachers College, Union Theological Seminary and Jewish Theological Seminary. Academic Commons is managed by the Columbia University Libraries.