The duality of utility and information in optimally learning systems.
Belavkin, Roman V. (2008) The duality of utility and information in optimally learning systems. In: IEEE Systems, Man and Cibernetics Society, UK and Republic of Ireland: 7th conference on cybernetics intelligent systems, 2008., 8th-9th September 2008, Middlesex University, London.
Official URL: http://www.eis.mdx.ac.uk/staffpages/rvb/publicatio...
The paper considers learning systems as optimisation systems with dynamical information constraints, and general optimality conditions are derived using the duality between the space of utility functions and probability measures. The increasing dynamics of the constraints is used to parametrise the optimal solutions which form a trajectory in the space of probability measures. Stochastic processes following such trajectories describe systems achieving the maximum possible utility gain with respect to a given information. The theory is discussed on examples for finite and uncountable sets and in relation to existing applications and cognitive models of learning.
|Item Type:||Conference or Workshop Item (Paper)|
|Research Areas:||Science & Technology > Algorithms, Architecture & Networks|
Science & Technology > Science & Technology
|Deposited On:||24 Mar 2010 10:31|
|Last Modified:||06 Feb 2013 11:35|
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