Università della Svizzera italiana

Limits of learning about a categorical latent variable under prior near-ignorance

Piatti, Alberto ; Zaffalon, Marco ; Trojani, Fabio ; Hutter, Marcus

In: International journal of approximate reasoning, 2009, vol. 50, no. 4, p. 597-611

In this paper, we consider the coherent theory of (epistemic) uncertainty of Walley, in which beliefs are represented through sets of probability distributions, and we focus on the problem of modeling prior ignorance about a categorical random variable. In this setting, it is a known result that a state of prior ignorance is not compatible with learning. To overcome this problem, another...

Università della Svizzera italiana

Learning under prior ignorance

Piatti, Alberto ; Trojani, Fabio (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2006 ; 2006ECO004.

It is well known that a state of prior ignorance is not compatible with learning, at least in a coherent theory of (epistemic) uncertainty. What is less widely known, is that there is another state of beliefs, called near-ignorance, that resembles ignorance very closely by satisfying some principles that can arguably be regarded as necessary in a state of ignorance, and that allows learning to...