K-armed Bandit Livio Torrero,Olivier Morandi, Pierluigi Rolando,Riccardo Giacomelli.

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Presentation transcript:

K-armed Bandit Livio Torrero,Olivier Morandi, Pierluigi Rolando,Riccardo Giacomelli

K-armed Bandit K slot machines stocastiche (Gaussian) Mean reward Standard deviation 2000 actions per apprendere quale sia la slot machine migliore Come fare?

K-armed Bandit Strategie Greedy Scelgo strategia migliore stimata con probabilità Scelgo una strategia tra le altre con probabilità uniforme con probabilità

Test-1 Mean rewards statici (Gaussian) Varianza=1 Stima del reward:

Test-1

Test-2b (varianza=0)

Test-2a (varianza=10)

Test-3 Stima del reward

Test-3a (LR=0.9,variance=0)

Test-3b (LR=0.9,variance=10)

Test-4 Stima del reward Allazione numero 300: I valori dei rewards cambiano

Test-4a, (step=0.05)

Test-4a (LR=0.1)

Test-4a (LR=0.5)

Test-4a (LR=0.9)

Test-4b (step=0.1)

Test-4b (LR=0.1)

Test-4c (immediate)

Test-4b (LR=0.1)

Test-4b (LR=0.9)