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  • When solving real problems there is often missing a reliable theory behind them. In such situations the ideas about a choice of an appropriate model are very vague and produce models where it is hard to balance the requirement on sufficient regularity of the model (as few parameters as possible to guarantee numerical stability) and its sufficient precision which forces the analyst to increase the number of model components typically leading to overparametrization (overcompleteness) accompanied with non-uniqueness and numerical instability of solutions. The technique based on the Basis Pursuit Algorithm originally suggested by Chen et al [SIAM Review 43 (2001), No. 1] for the processing of digital signals allows one to find sparse stable solutions from such models.
  • When solving real problems there is often missing a reliable theory behind them. In such situations the ideas about a choice of an appropriate model are very vague and produce models where it is hard to balance the requirement on sufficient regularity of the model (as few parameters as possible to guarantee numerical stability) and its sufficient precision which forces the analyst to increase the number of model components typically leading to overparametrization (overcompleteness) accompanied with non-uniqueness and numerical instability of solutions. The technique based on the Basis Pursuit Algorithm originally suggested by Chen et al [SIAM Review 43 (2001), No. 1] for the processing of digital signals allows one to find sparse stable solutions from such models. (en)
Title
  • Searching sparse solutions from overcomplete models: selected applications
  • Searching sparse solutions from overcomplete models: selected applications (en)
skos:prefLabel
  • Searching sparse solutions from overcomplete models: selected applications
  • Searching sparse solutions from overcomplete models: selected applications (en)
skos:notation
  • RIV/00216224:14560/07:00023302!RIV10-MSM-14560___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021622418)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 449114
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14560/07:00023302
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • approximation; atomic decomposition; sparsity; smoothing; time series; forecasting; ROC/ODC curve. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A572E7E1900F]
http://linked.open...v/mistoKonaniAkce
  • September 2006, Bouzov-Kozov (Moravia)
http://linked.open...i/riv/mistoVydani
  • Brno (Czech Rep.)
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the Summer School DATASTAT'2006
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Veselý, Vítězslav
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Masaryk University
https://schema.org/isbn
  • 978-80-210-4493-7
http://localhost/t...ganizacniJednotka
  • 14560
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