Original title:
Representations of Boolean Functions by Perceptron Networks
Authors:
Kůrková, Věra Document type: Papers Conference/Event: ITAT 2014. European Conference on Information Technologies - Applications and Theory /14./, Demänovská dolina (SK), 2014-09-25 / 2014-09-29
Year:
2014
Language:
eng Abstract:
Limitations of capabilities of shallow perceptron networks are investigated. Lower bounds are derived for growth of numbers of units and sizes of output weights in networks representing Boolean functions of d variables. It is shown that for large d, almost any randomly chosen Boolean function cannot be tractably represented by shallow perceptron networks, i.e., each its representation requires a network with number of units or sizes of output weights depending on d exponentially
Keywords:
Boolean functions; model complexity; perceptron networks Project no.: LD13002 (CEP) Funding provider: GA MŠk Host item entry: ITAT 2014. Information Technologies - Applications and Theory. Part II, ISBN 978-80-87136-19-5
Institution: Institute of Computer Science AS ČR
(web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0236782