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Potpourri

Potpourri. Vishnu V. Zutshi for the NICADD/NIU group. Cluster Separability. Separability. For any two classes or clusters the classification rule can basically be stated as: P(c1|x) > P(c2|x)

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Potpourri

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  1. Potpourri Vishnu V. Zutshi for the NICADD/NIU group

  2. Cluster Separability AHCal Meeting,DESY,Oct03

  3. Separability • For any two classes or clusters the classification rule can basically be stated as: P(c1|x) > P(c2|x) • The separability of two clusters or classification error probability depends on the difference between P(c1|x) and P(c2|x) • Many measures can be constructed to quantify this AHCal Meeting,DESY,Oct03

  4. For Example….. For best separability clusters should have small within class variance and large between class distance. J = trace{Sw-1 Sm} where Sw = S PiSi Si is the covariance matrix for cluster ci Sm is the covariance matrix w.r.t. the global mean AHCal Meeting,DESY,Oct03

  5. Track Parameters AHCal Meeting,DESY,Oct03

  6. ‘Separability’ vs. Distance AHCal Meeting,DESY,Oct03

  7. Another Measure…. • B = a*(mi-mk)T *({Si+Sk}/2)-1 *(mi-mk) + b*ln{(|(Si+Sk)/2|)/sqrt(| Si || Sk |)} m = mean and S = covariance the first term gives the separation due to mean difference the second term due to covariance difference AHCal Meeting,DESY,Oct03

  8. ‘Separability’ vs. Distance AHCal Meeting,DESY,Oct03

  9. Ratio of measures (m x m/n x n) AHCal Meeting,DESY,Oct03

  10. Ratio of measures (m x m/n x n) 3x3/1x1 5x5/3x3 AHCal Meeting,DESY,Oct03

  11. ‘Resolution’ 3x3 1x1 5x5 AHCal Meeting,DESY,Oct03

  12. Test-beam Geometry HCal Implemented in G4 Tail-catcher ECal AHCal Meeting,DESY,Oct03

  13. G4 Setup • GEANT 4.5.2.p01 • Mokka physics lists • For convenience General Particle Source linked in • Aggregate hits by cell with track contributions • ASCII output format (others can be put in) AHCal Meeting,DESY,Oct03

  14. Data Format EVENT evt_no ECAL no_hits layer_no … x y z cell_edep abs_edep ntrak track_no track_edep … HCAL … … TAILCATCHER AHCal Meeting,DESY,Oct03

  15. HCal Face & Side View AHCal Meeting,DESY,Oct03

  16. Charged Pion Event AHCal Meeting,DESY,Oct03

  17. Tail-catcher AHCal Meeting,DESY,Oct03

  18. Extruder Line AHCal Meeting,DESY,Oct03

  19. Extruded Strip w/ 10 holes AHCal Meeting,DESY,Oct03

  20. 10-hole Die AHCal Meeting,DESY,Oct03

  21. Tail-catcher Next Steps • Steel from Fermilab ? • Need to have a stable design to go hunting • With the simulation now ready this should happen soon AHCal Meeting,DESY,Oct03

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