APPRENTISSAGE AUTOMATIQUE #2 | Théorie de Vapnik Chervonenkis | VC dimension
Автор: Free Math Courses | Cours de Maths Gratuits
Загружено: 2022-07-21
Просмотров: 651
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PDF: https://mohamedkadhem.com/machine-lea...
We aim to establish a uniform bound of the deviation of the empirical loss from the true loss for an infinite hypothesis class. In this regard,
- We present the Vapnik-Chervonenkis theory
* Introduce the notions of covering and packing numbers, growth function, VC dimension.
* Build bounds on the covering numbers for classes of sets and functions whose VC dimension is finite.
- These results, together with some results from the empirical processes theory (next lecture) will permit to establish the desired uniform bound.
0:00 Introduction
3:20 VC classes of sets
3:20 Covering and packing numbers
6:19 Growth function
10:58 VC dimension
20:02 Covering number bound
21:30 VC classes of functions
24:42 Covering numbers of convex hulls
26:45 Bibliography
Le support est en anglais et la présentation orale est en Français.
#vapnikchervonenkis #vcdimension #vcdimensioninmachinelearning #machinelearningvcdimension #vapnikchervonenkisdimension #coveringnumber #packingnumber #growthfunction #vapnikchervonenkistheory #sauerlemma
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