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Description
  • Recent complexity-theoretic results on finding c-optimal designs over finite experimental domain X are discussed and their implications for the analysis of existing algorithms and for the construction of new algorithms are shown. Assuming some complexity-theoretic conjectures, we show that the approximate version of c-optimality does not have an efficient parallel implementation. Further, we study the question whether for finding the c-optimal designs over finite experimental domain X there exist a strongly polynomial algorithms and show relations between considered design problem and linear programming. Finally, we point out some complexity-theoretic properties of the SAC algorithm for c-optimality.
  • Recent complexity-theoretic results on finding c-optimal designs over finite experimental domain X are discussed and their implications for the analysis of existing algorithms and for the construction of new algorithms are shown. Assuming some complexity-theoretic conjectures, we show that the approximate version of c-optimality does not have an efficient parallel implementation. Further, we study the question whether for finding the c-optimal designs over finite experimental domain X there exist a strongly polynomial algorithms and show relations between considered design problem and linear programming. Finally, we point out some complexity-theoretic properties of the SAC algorithm for c-optimality. (en)
Title
  • On computational complexity of construction of c-optimal linear regression models over finite experimental domains
  • On computational complexity of construction of c-optimal linear regression models over finite experimental domains (en)
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  • On computational complexity of construction of c-optimal linear regression models over finite experimental domains
  • On computational complexity of construction of c-optimal linear regression models over finite experimental domains (en)
skos:notation
  • RIV/00216208:11320/12:10128902!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0755), P(GAP403/12/1947)
http://linked.open...iv/cisloPeriodika
  • 1
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  • 156199
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/12:10128902
http://linked.open...riv/jazykVysledku
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  • SAC algorithm.; linear programming; parallel computation; P-completeness; c-optimality; Optimal design (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [66C48BF66665]
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  • Tatra Mountains Mathematical Publications
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  • 51
http://linked.open...iv/tvurceVysledku
  • Hladík, Milan
  • Černý, Michal
  • Antoch, Jaromír
http://linked.open...ain/vavai/riv/wos
  • 000314254900002
issn
  • 1210-3195
number of pages
http://bibframe.org/vocab/doi
  • 10.2478/v10127-012-0002-3
http://localhost/t...ganizacniJednotka
  • 11320
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