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http://hdl.handle.net/1942/3500
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | REIMANN, Peter | - |
dc.contributor.author | VAN DEN BROECK, Christian | - |
dc.date.accessioned | 2007-11-28T15:41:57Z | - |
dc.date.available | 2007-11-28T15:41:57Z | - |
dc.date.issued | 1996 | - |
dc.identifier.citation | PHYSICAL REVIEW E, 53(4). p. 3989-3998 | - |
dc.identifier.issn | 1063-651X | - |
dc.identifier.uri | http://hdl.handle.net/1942/3500 | - |
dc.description.abstract | We present a general replica calculation for learning from examples generated by a nonuniform pattern distribution with a single symmetry-breaking orientation. Our results cover the three main learning scenarios: storage of patterns with random classifications by a perceptron, supervised learning from a teacher, and unsupervised learning. We show that for a perceptron the critical storage capacity alpha(c) = 2 is completely independent of the pattern distribution provided it is point symmetric or provided the classification as +/-1 is unbiased. In a particular model for supervised learning we find that an ideal (Bayes) student learns most from a few examples if they are easy and from a large number if they are difficult. Learning based on the minimization of a specific class of (quadratic) cost functions is solved completely for all three scenarios. | - |
dc.language.iso | en | - |
dc.publisher | AMERICAN PHYSICAL SOC | - |
dc.title | Learning by examples from a nonuniform distribution | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 3998 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 3989 | - |
dc.identifier.volume | 53 | - |
local.format.pages | 10 | - |
dc.description.notes | LIMBURGS UNIV CENTRUM,B-3590 DIEPENBEEK,BELGIUM. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1103/PhysRevE.53.3989 | - |
dc.identifier.isi | A1996UH48200042 | - |
item.accessRights | Closed Access | - |
item.contributor | REIMANN, Peter | - |
item.contributor | VAN DEN BROECK, Christian | - |
item.fulltext | No Fulltext | - |
item.fullcitation | REIMANN, Peter & VAN DEN BROECK, Christian (1996) Learning by examples from a nonuniform distribution. In: PHYSICAL REVIEW E, 53(4). p. 3989-3998. | - |
Appears in Collections: | Research publications |
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