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Nov 22, 2023 304 likes •380 views

t sr Pt r ts s s rt s s s rts

SLIDE 1

❆❞❛♣t✐✈❡ ❙❡♥s♦r P❧❛❝❡♠❡♥t ❢♦r ❈♦♥t✐♥✉♦✉s ❙♣❛❝❡s

❏❛♠❡s ❆ ●r❛♥t✱ ❆❧❡①✐s ❇♦✉❦♦✉✈❛❧❛s✱ ❘②❛♥✲❘❤②s ●r✐✣t❤s✱ ❉❛✈✐❞ ❙ ▲❡s❧✐❡✱ ❙❛tt❛r ❱❛❦✐❧✐✱ ❊♥r✐q✉❡ ▼✉♥♦③ ❞❡ ❈♦t❡

SLIDE 2

P❘❖❇▲❊▼

P❧❛❝✐♥❣ s❡♥s♦rs t♦ ❞❡t❡❝t

❡✈❡♥ts ♦❢ ✐♥t❡r❡st✱

▼❛①✐♠✐s❡ ♥✉♠❜❡r ♦❢

❡✈❡♥ts ❞❡t❡❝t❡❞ ♠✐♥✉s ❝♦st✳

❊✈❡♥ts ❛r✐s❡ ❛❝❝♦r❞✐♥❣ t♦ ❛

◆♦♥✲❤♦♠♦❣❡♥❡♦✉s P♦✐ss♦♥ ♣r♦❝❡ss✳

❲❡ ❛r❡ ✐♥t❡r❡st❡❞ ✐♥ ❛

s❡q✉❡♥t✐❛❧ ✈❡rs✐♦♥ ♦❢ t❤❡ ♣r♦❜❧❡♠✱

❈♦♥t✐♥✉✉♠✲❆r♠❡❞

❇❛♥❞✐t✳

0.0 0.2 0.4 0.6 0.8 1.0 5 10 15 20 25 30 Intensity function value

❊✈❡♥ts ❣❡♥❡r❛t❡❞ ❛❝❝♦r❞✐♥❣ t♦ ❛ P♦✐ss♦♥ ♣r♦❝❡ss✳ ❚❤❡ ❣r❡❡♥ ✐♥t❡r✈❛❧ ✐s t❤❡ s❡❧❡❝t❡❞ s❡♥s✐♥❣ r❡❣✐♦♥✳

SLIDE 3

❈❍❆▲▲❊◆●❊❙

❲❡ ❝♦♥s✐❞❡r t❤❡ r❡❣r❡t ♠✐♥✐♠✐s❛t✐♦♥ ❢r❛♠❡✇♦r❦ ❛♥❞ r❡q✉✐r❡ ❛♥ ❛♣♣r♦❛❝❤ ✇❤✐❝❤ t❛❝❦❧❡s t❤❡ ❢♦❧❧♦✇✐♥❣ ❝❤❛❧❧❡♥❣❡s✿

❙❝❛❧❛❜❧❡ ✐♥❢❡r❡♥❝❡
❉❡♣❡♥❞❡♥❝❡ ♦♥ ♥✉♠❜❡r ♦❢ ♦❜s❡r✈❡❞ ❡✈❡♥ts ✐♠♣♦rt❛♥t
❈♦♥t✐♥✉♦✉s ❛❝t✐♦♥ s♣❛❝❡
❉❡t❡r♠✐♥✐♥❣ t❤❡ ❜❡st ❛♠♦♥❣st ✐♥✜♥✐t❡❧② ♠❛♥② ❛❝t✐♦♥s
❆♣♣r♦♣r✐❛t❡ ❡①♣❧♦r❛t✐♦♥✴❡①♣❧♦✐t❛t✐♦♥
❯❈❇✱ ❚❙ ❡t❝✳ ✲ ♥❡❡❞ t♦ ❜❡ ❛❞❛♣t❡❞ t♦ ♣♦✐♥t ♣r♦❝❡ss ❞❛t❛✳

SLIDE 4

❙❖▲❯❚■❖◆

❲❡ ♣r♦♣♦s❡ ❛♥ ❛♣♣r♦❛❝❤ ✇❤✐❝❤ ♠❡❡ts t❤❡ ❝❤❛❧❧❡♥❣❡s ❜② ✉s❡ ♦❢

❇❛②❡s✐❛♥ ❤✐st♦❣r❛♠
❊✣❝✐❡♥t ♥♦♥♣❛r❛♠❡tr✐❝

❡st✐♠❛t✐♦♥✱ ❛s②♠♣t♦t✐❝❛❧❧② ♦♣t✐♠❛❧ ❡rr♦r s❤r✐♥❦❛❣❡

Pr♦❣r❡ss✐✈❡ ❞✐s❝r❡t✐s❛t✐♦♥
❇♦t❤ ♦❢ ❤✐st♦❣r❛♠ ❛♥❞

❛❝t✐♦♥ s♣❛❝❡✳

❚❤♦♠♣s♦♥ ❙❛♠♣❧✐♥❣
❘❡❛❞✐❧② ❞❡♣❧♦②❛❜❧❡

✇✐t❤♦✉t t✉♥✐♥❣ ❯❈❇s

0.0 0.2 0.4 0.6 0.8 1.0 10 20 30 40 50 Intensity function value 0.0 0.2 0.4 0.6 0.8 1.0 10 20 30 40 50 Intensity function value

❇❛②❡s✐❛♥ ❤✐st♦❣r❛♠ ❝♦♥✜❞❡♥❝❡ ✐♥t❡r✈❛❧s✱ s❤♦✇✐♥❣ ♣r♦❣r❡ss✐✈❡ ❞✐s❝r❡t✐s❛t✐♦♥

SLIDE 5

❘❊❙❯▲❚❙

❲❡ ❤❛✈❡ ❛ ❜♦✉♥❞ ♦♥ t❤❡ ❇❛②❡s✐❛♥ ❘❡❣r❡t ♦❢ ♦r❞❡r ˜ O(T 2/3)✱ ❛♥❞ str♦♥❣ ❡♠♣✐r✐❝❛❧ ♣❡r❢♦r♠❛♥❝❡✿

200 400 600 800 1000 timestep 500 1000 1500 2000 2500 3000 3500 Cumulative regret Thompson UCB mUCB ε-Greedy

❘❡❣r❡t ❛❝❝✉♠✉❧❛t❡❞ ❜② ❚❤♦♠♣s♦♥ ❙❛♠♣❧✐♥❣✱ ❛♥❞ ❝♦♠♣❡t✐t♦rs P♦st❡r✐♦r ❞✐str✐❜✉t✐♦♥✱ r♦✉♥❞ ✾✵✵ ✇✐t❤ ❚❤♦♠♣s♦♥ ❙❛♠♣❧✐♥❣ P♦st❡r✐♦r ❞✐str✐❜✉t✐♦♥✱ r♦✉♥❞ ✾✵✵ ✇✐t❤ ❯❈❇ ❛♣♣r♦❛❝❤

SLIDE 6