Road map linear discrimination: the separable case



Yüklə 445 b.
tarix29.10.2017
ölçüsü445 b.
#19623


Support Vector Machines S.V.M. Special session


radial SVM



Road map

  • linear discrimination: the separable case

  • linear discrimination: the NON separable case

  • quadratic discrimination

  • radial SVM

    • principle
    • 3 regularization hyperparametres
    • some benchmark results (glass data)
  • SMV for regression



What ’s new with SVM



Space functional



Minimization with constraints



Minimization with constraints dual formulation



Linear discrimination the separable case



Linear discrimination the separable case



Linear discrimination the separable case



Linear discrimination the separable case



Linear discrimination the separable case



Linear classification- the separable case



Equality constraint integration



Inequality constraint integration



Linear classification : the non separable case



quadratic SVM



polynomial classification



Gaussian Kernel based S.V.M.



1 d example



3 regularization parameters

  • C : the superior bound

  •  : the kernel bandwidth: K(x,y)

  • the linear system regularization

    • H=b => (H+I)=b


Small bandwidth and large C



Large bandwidth and large C



Large bandwidth and small C



SVM for regression



Example...



 small and  also



Geostatistics



An other way to see things (Girosi, 97)



SVM history and trends



Optimization issues QP with constraints



Optimization issues



Some benchmark considerations (Platt 98)



open issues



Books in Support Vector Research



Events in Support Vector Research



Conclusion



Yüklə 445 b.

Dostları ilə paylaş:




Verilənlər bazası müəlliflik hüququ ilə müdafiə olunur ©muhaz.org 2024
rəhbərliyinə müraciət

gir | qeydiyyatdan keç
    Ana səhifə


yükləyin