Beta 1


Title Theoretical Analysis For Exact Results in Stochastic Linear Learning
Author Karim, Rezaul
Supervisor Hansen, Lars Kai (Department of Informatics and Mathematical Modeling, Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark)
Institution Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark
Thesis level Master's thesis
Year 2004
Abstract This master thesis deals with the learning theory. It contains some analysis as well as derivations in Stochastic Linear learning. Derived results, for example, Generalization Error are exact in contrast with many available assumed or asymptotic results. The works are done chiefly basing on two papers: Hansen 1993 [13] and Hansen 2004 [20]. Some MATLAB simulations are done in order to prove the undoubted validity of the expressions for the Exact Generalization errors. Two expressions for the Generalization errors with respect to the sample size were derived in two different ways from linear models. The cross point of them were also detected. The properties of the curves were discussed throughout the whole sample size domain. At last, in the research part, there are some investigations about the undesired events of the curves while a discussion about the recovery from that situation is presented.
Imprint Department of Informatics and Mathematical Modeling, Technical University of Denmark, DTU : DK-2800 Kgs. Lyngby, Denmark
Keywords Learning; stochastic; linear; asymptote; domain.
Fulltext
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Admin Creation date: 2006-06-22    Update date: 2012-12-21    Source: dtu    ID: 154771    Original MXD