SLIDE 1
rt s tt - - PowerPoint PPT Presentation
rt s tt - - PowerPoint PPT Presentation
rt s tt t t ss tr r
SLIDE 2
SLIDE 3
❖✉t❧✐♥❡
■♥tr♦❞✉❝t✐♦♥ ❋❡❛t✉r❡ ❊①tr❛❝t✐♦♥ ▼❡t❤♦❞s ❈❧❛ss✐✜❡rs ❋❛❝❡ ❉❛t❛❜❛s❡ ❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥
SLIDE 4
❋❛❝❡ r❡❝♦❣♥✐t✐♦♥
◮ ❈❧❛ss✐❝ ❛♣♣r♦❛❝❤ t♦ ❢❛❝❡ r❡❝♦❣♥✐t✐♦♥✿ ▲❡t✬s s❡❡ ✐❢ ■ ❝❛♥ ✐♠♣r♦✈❡
❛ ✾✾✳✶✪ t♦ ❛ ✾✾✳✷✪ ♦✈❡r ❛ ❝❧❛ss✐❝ ❞❛t❛❜❛s❡ ❧✐❦❡ ❖❘▲ ♦r ❨❛❧❡❢❛❝❡s✳ ❚❤✐s ❞❛t❛❜❛s❡s ❛r❡ t②♣✐❝❛❧❧② s♠❛❧❧✱ ❜❛❧❛♥❝❡❞ ❛♥❞ ✉♥✐❢♦r♠✳ ❖✉r ♣♦✐♥t ♦❢ ✈✐❡✇✿ ❘❡❛❧ ❞❛t❛ ❜❛s❡s ❝❛♥ ❜❡ ❤✉❣❡✱ ✇✐t❤ ✉♥❜❛❧❛♥❝❡❞ s✉❜❥❡❝t✲t♦✲❝❧❛ss r❛t✐♦ ❛♥❞ ❝♦♥t❛♥✐♥❣ ♣❤♦t♦s t❛❦❡♥ ✉♥❞❡r ❞✐✈❡rs❡ ❝♦♥❞✐❝t✐♦♥s✳
SLIDE 5
❋❛❝❡ r❡❝♦❣♥✐t✐♦♥
◮ ❈❧❛ss✐❝ ❛♣♣r♦❛❝❤ t♦ ❢❛❝❡ r❡❝♦❣♥✐t✐♦♥✿ ▲❡t✬s s❡❡ ✐❢ ■ ❝❛♥ ✐♠♣r♦✈❡
❛ ✾✾✳✶✪ t♦ ❛ ✾✾✳✷✪ ♦✈❡r ❛ ❝❧❛ss✐❝ ❞❛t❛❜❛s❡ ❧✐❦❡ ❖❘▲ ♦r ❨❛❧❡❢❛❝❡s✳ ❚❤✐s ❞❛t❛❜❛s❡s ❛r❡ t②♣✐❝❛❧❧② s♠❛❧❧✱ ❜❛❧❛♥❝❡❞ ❛♥❞ ✉♥✐❢♦r♠✳
◮ ❖✉r ♣♦✐♥t ♦❢ ✈✐❡✇✿ ❘❡❛❧ ❞❛t❛ ❜❛s❡s ❝❛♥ ❜❡ ❤✉❣❡✱ ✇✐t❤
✉♥❜❛❧❛♥❝❡❞ s✉❜❥❡❝t✲t♦✲❝❧❛ss r❛t✐♦ ❛♥❞ ❝♦♥t❛♥✐♥❣ ♣❤♦t♦s t❛❦❡♥ ✉♥❞❡r ❞✐✈❡rs❡ ❝♦♥❞✐❝t✐♦♥s✳
SLIDE 6
❘❡s❡❛r❝❤ q✉❡st✐♦♥
◮ ▲❡ts t❛❦❡ s♦♠❡ ✏✉❣❧②✑ ❞❛t❛❜❛s❡s✳
✶✳ ❈❛♥ ▲❛tt✐❝❡ ■♥❞❡♣❡♥❞❡♥t ❈♦♠♣♦♥❡♥t ❆♥❛❧②s✐s ✭▲■❈❆✮✱ ❛s ❛ ❢❡❛t✉r❡ ❡①tr❛❝t✐♦♥ ♠❡t❤♦❞ ♣r✐♦r t♦ ❊▲▼ ❝❧❛ss✜❝❛t✐♦♥✱ ♦✉t♣❡r❢♦r♠ ❝❧❛ss✐❝ ❡①tr❛❝t✐♦♥ ❛❧❣♦r✐t❤♠s❄ ✷✳ ❈❛♥ ❊▲▼s ♦✉t♣❡r❢♦r♠ st❛t❡✲♦❢✲t❤❡ ❛rt ❝❧❛ss✐✜❡rs ✐♥ s✉❝❤ ❡①♣❡r✐♠❡♥t❛❧ ❡♥✈✐r♦♥♠❡♥t❄
SLIDE 7
❖✉t❧✐♥❡
■♥tr♦❞✉❝t✐♦♥ ❋❡❛t✉r❡ ❊①tr❛❝t✐♦♥ ▼❡t❤♦❞s ❈❧❛ss✐✜❡rs ❋❛❝❡ ❉❛t❛❜❛s❡ ❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥
SLIDE 8
❈❧❛ss✐❝ ❢❡❛t✉r❡ ❡①tr❛❝t✐♦♥ ♠❡t❤♦❞s
◮ Pr✐♥❝✐♣❛❧ ❈♦♠♣♦♥❡♥t ❆♥❛❧②s✐s ✭P❈❆✮ ◮ ▲✐♥❡❛r ❉✐s❝r✐♠✐♥❛♥t ❆♥❛❧②s✐s ✭▲❉❆✮ ◮ ■♥❞❡♣❡♥❞❡♥t ❈♦♠♣♦♥❡♥t ❆♥❛❧②s✐s ✭■❈❆✮✿
◮ ▼❡❛♥✲✜❡❧❞ ■❈❆✱ ■❈❆ ■♥❢♦♠❛①✱ ■❈❆ ▼♦❧❣❡❞❡② ✫ ❙❝❤✉st❡r✳
SLIDE 9
▲❛tt✐❝❡ ■♥❞❡♣❡♥❞❡♥t ❈♦♠♣♦♥❡♥t ❆♥❛❧②s✐s
◮ ●❡♥❡r❛t✐✈❡ ♠♦❞❡❧ ✇❤❡r❡ t❤❡ s♦✉r❝❡ ♠❛tr✐① ✐s ❝♦♠♣♦s❡❞ ♦❢
❡♥❞♠❡♠❜❡rs ✇❤✐❝❤ ❞❡✜♥❡ ❛ ❝♦♥✈❡① r❡❣✐♦♥ ❝♦✈❡r✐♥❣ t❤❡ ♠❡❛s✉r❡❞ ❞❛t❛ ✭❙tr♦♥❣❧② ▲❛tt✐❝❡ ■♥❞❡♣❡♥❞❡♥t ✈❡❝t♦rs✮✳ ✶✳ ❯s❡ ❛♥ ❊♥❞♠❡♠❜❡r ■♥❞✉❝t✐♦♥ ❆❧❣♦r✐t❤♠ ✭❊■❆✮ t♦ ✐♥❞✉❝❡ ❢r♦♠ t❤❡ ❞❛t❛ ❛ s❡t ♦❢ ❙tr♦♥❣❧② ▲❛tt✐❝❡ ■♥❞❡♣❡♥❞❡♥t ✈❡❝t♦rs✳ ✷✳ ❆♣♣❧② ❧❡❛st sq✉❛r❡ ❡st✐♠❛t✐♦♥ t♦ ♣r♦❥❡❝t t❤❡ ❞❛t❛✳ ❚❤❡ ❊■❆ ❤❛s t♦❧❡r❛♥❝❡ ♣❛r❛♠❡t❡r ❝♦♥tr♦❧❧✐♥❣ t❤❡ ❛♠♦✉♥t ♦❢ ❡♥❞♠❡♠❜❡rs ❞❡t❡❝t❡❞✳
SLIDE 10
▲❛tt✐❝❡ ■♥❞❡♣❡♥❞❡♥t ❈♦♠♣♦♥❡♥t ❆♥❛❧②s✐s
◮ ●❡♥❡r❛t✐✈❡ ♠♦❞❡❧ ✇❤❡r❡ t❤❡ s♦✉r❝❡ ♠❛tr✐① ✐s ❝♦♠♣♦s❡❞ ♦❢
❡♥❞♠❡♠❜❡rs ✇❤✐❝❤ ❞❡✜♥❡ ❛ ❝♦♥✈❡① r❡❣✐♦♥ ❝♦✈❡r✐♥❣ t❤❡ ♠❡❛s✉r❡❞ ❞❛t❛ ✭❙tr♦♥❣❧② ▲❛tt✐❝❡ ■♥❞❡♣❡♥❞❡♥t ✈❡❝t♦rs✮✳ ✶✳ ❯s❡ ❛♥ ❊♥❞♠❡♠❜❡r ■♥❞✉❝t✐♦♥ ❆❧❣♦r✐t❤♠ ✭❊■❆✮ t♦ ✐♥❞✉❝❡ ❢r♦♠ t❤❡ ❞❛t❛ ❛ s❡t ♦❢ ❙tr♦♥❣❧② ▲❛tt✐❝❡ ■♥❞❡♣❡♥❞❡♥t ✈❡❝t♦rs✳ ✷✳ ❆♣♣❧② ❧❡❛st sq✉❛r❡ ❡st✐♠❛t✐♦♥ t♦ ♣r♦❥❡❝t t❤❡ ❞❛t❛✳
◮ ❚❤❡ ❊■❆ ❤❛s t♦❧❡r❛♥❝❡ ♣❛r❛♠❡t❡r α ❝♦♥tr♦❧❧✐♥❣ t❤❡ ❛♠♦✉♥t ♦❢
❡♥❞♠❡♠❜❡rs ❞❡t❡❝t❡❞✳
SLIDE 11
❖✉t❧✐♥❡
■♥tr♦❞✉❝t✐♦♥ ❋❡❛t✉r❡ ❊①tr❛❝t✐♦♥ ▼❡t❤♦❞s ❈❧❛ss✐✜❡rs ❋❛❝❡ ❉❛t❛❜❛s❡ ❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥
SLIDE 12
❈❧❛ss✐❝ ❝❧❛ss✐✜❡rs
◮ ❘❛♥❞♦♠ ❋♦r❡st ◮ ❙✉♣♦rt ❱❡❝t♦r ▼❛❝❤✐♥❡ ✭❙❱▼✮ ◮ ❋❡❡❞✲❢♦r✇❛r❞ s✐♥❣❧❡✲❧❛②❡r ♥❡✉r❛❧ ♥❡t✇♦r❦s✿
◮ ❘❡s✐❧✐❡♥t ❜❛❝❦♣r♦♣❛❣❛t✐♦♥✳ ◮ ❙❝❛❧❡❞ ❝♦♥❥✉❣❛t❡ ❣r❛❞✐❡♥t ❜❛❝❦♣r♦♣❛❣❛t✐♦♥✳
SLIDE 13
❊①tr❡♠❡ ▲❡❛r♥✐♥❣ ▼❛❝❤✐♥❡
◮ ❲❡ ❤❛✈❡ tr✐❡❞ ❜❛s✐❝ ❊▲▼ ❛♥❞ ❊▲▼ ✇✐t❤ r✐❞❣❡ r❡❣r❡ss✐♦♥✳
❇❛s✐❝ ❊▲▼✬s ♦✉t♣✉t ✇❡✐❣❤t ❝❛❧❝✉❧❛t✐♦♥ ✐s ❛s ❢♦❧❧♦✇s✿ β = (❍❚❍)−✶❍❚❚
◮ ❘✐❞❣❡ r❡❣r❡ss✐♦♥✿ ❖♣t✐♦♥❛❧❧②✱ ✇❡ ❝❛♥ ❛❞❞ ❛ r✐❞❣❡ ♣❛r❛♠❡t❡r
✶/λ t♦ t❤❡ ❞✐❛❣♦♥❛❧ ♦❢ (❍❚❍)✱ ✐t st❛❜✐❧✐③❡s t❤❡ s♦❧✉t✐♦♥✳ ❚❤✉s✱ t❤❡ ❝❛❧❝✉❧❛t✐♦♥ ♦❢ t❤❡ ♦✉t♣✉t ✇❡✐❣❤ts β ✐s✿ β = ■ λ + ❍❚❍ −✶ ❍❚❚, ✭✶✮ ✇❤❡r❡ ■ ✐s ❛♥ ✐❞❡♥t✐t② ♠❛tr✐① t❤❡ s❛♠❡ s✐③❡ ❛s ❍✳
SLIDE 14
❖✉t❧✐♥❡
■♥tr♦❞✉❝t✐♦♥ ❋❡❛t✉r❡ ❊①tr❛❝t✐♦♥ ▼❡t❤♦❞s ❈❧❛ss✐✜❡rs ❋❛❝❡ ❉❛t❛❜❛s❡ ❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥
SLIDE 15
❋❛❝❡ ❞❛t❛❜❛s❡
◮ ❈♦❧♦r ❋❊❘❊❚ ❞❛t❛❜❛s❡✳
✶✳ ❲❡ ❝❤♦s❡ ❢r♦♥t❛❧ ❛♥❞ ♠✐❧❞❧② r♦t❛t❡❞ ✐♠❛❣❡s ✲ ✇✐t❤ ❛ r♦t❛t✐♦♥ ♦❢ ✶✺ ✱✷✷✳✺ ❛♥❞ ✹✺ ❞❡❣r❡❡s✿ ✷✳ ❲❡ ♣❡r❢♦r♠ ❢❛❝❡ ❞❡t❡❝t✐♦♥✿ ❙❝✐❧❛❜✬s ❙■❱P ✰ s✐③❡ ❞✐s❝r✐♠✐♥❛t✐♦♥ ✰ ❝♦❧♦r t❡st✳ ✾✾✳✻✺✪ ❢❛❝❡ ❞❡t❡❝t✐♦♥ s✉❝❝❡ss r❛t❡✳ ✸✳ ❙❝❛❧❡ ✉♣✴❞♦✇♥ ❢❛❝❡s t♦ ✶✵✵①✶✵✵ ♣✐①❡❧s ❛♥❞ ❝♦♥✈❡rt t♦ ❣r❛②s❝❛❧❡ ✉s✐♥❣ ●r ✵ ✽✺ ❘ ✵ ✶✵ ● ✵ ✵✺ ❇ ❢♦r♠✉❧❛✳
SLIDE 16
❋❛❝❡ ❞❛t❛❜❛s❡
◮ ❈♦❧♦r ❋❊❘❊❚ ❞❛t❛❜❛s❡✳
✶✳ ❲❡ ❝❤♦s❡ ❢r♦♥t❛❧ ❛♥❞ ♠✐❧❞❧② r♦t❛t❡❞ ✐♠❛❣❡s ✲ ✇✐t❤ ❛ r♦t❛t✐♦♥ ♦❢ ✶✺ ✱✷✷✳✺ ❛♥❞ ✹✺ ❞❡❣r❡❡s✿ ✷✳ ❲❡ ♣❡r❢♦r♠ ❢❛❝❡ ❞❡t❡❝t✐♦♥✿ ❙❝✐❧❛❜✬s ❙■❱P ✰ s✐③❡ ❞✐s❝r✐♠✐♥❛t✐♦♥ ✰ ❝♦❧♦r t❡st✳ ✾✾✳✻✺✪ ❢❛❝❡ ❞❡t❡❝t✐♦♥ s✉❝❝❡ss r❛t❡✳ ✸✳ ❙❝❛❧❡ ✉♣✴❞♦✇♥ ❢❛❝❡s t♦ ✶✵✵①✶✵✵ ♣✐①❡❧s ❛♥❞ ❝♦♥✈❡rt t♦ ❣r❛②s❝❛❧❡ ✉s✐♥❣ ●r = ✵.✽✺ · ❘ + ✵.✶✵ · ● + ✵.✵✺ · ❇ ❢♦r♠✉❧❛✳
SLIDE 17
❋❛❝❡ ❞❛t❛❜❛s❡
◮ ❲❡ ♠❛❞❡ ✹ s✉❜s❡ts✿ ❉❇ ✶ ❉❇ ✷ ❉❇ ✸ ❉❇ ✹ ◆✉♠❜❡r ♦❢ s❛♠♣❧❡s ✺✶✻✾ ✸✷✹✾ ✽✸✷ ✸✹✼ ◆✉♠❜❡r ♦❢ ❝❧❛ss❡s ✾✾✹ ✻✸✺ ✷✻✺ ✼✾ ▼❡❛♥ ✭s❛♠♣❧❡s ♣❡r ❝❧❛ss✮ ✹✳✸✾✷✹ ✸✳✶✸✾✻ ✺✳✷✽✸✺ ✺✳✷✵✵✷ ❙t❛♥❞❛r❞ ❞❡✈✐❛t✐♦♥ ✭s❛♠♣❧❡s ♣❡r ❝❧❛ss✮ ✺✳✽✺✻✵ ✸✳✹✹✾✽ ✹✳✾✾✵✹ ✹✳✺✵✶✷ ▼❡❞✐❛♥ ✭s❛♠♣❧❡s ♣❡r ❝❧❛ss✮ ✷ ✷ ✹ ✹ ▼♦❞❡ ✭s❛♠♣❧❡s ♣❡r ❝❧❛ss✮ ✷ ✷ ✷ ✷ ◮ ❍✐❣❤❧② ✉♥❜❛❧❛♥❝❡❞ ❞❛t❛❜❛s❡s✱ ❢♦r ❡①❛♠♣❧❡ ❉❇✶✿
5 10 15 20 25 30 35 40 45 25 50 75 100 125 150 200 250 Subjects per class Occurrences 433
SLIDE 18
❖✉t❧✐♥❡
■♥tr♦❞✉❝t✐♦♥ ❋❡❛t✉r❡ ❊①tr❛❝t✐♦♥ ▼❡t❤♦❞s ❈❧❛ss✐✜❡rs ❋❛❝❡ ❉❛t❛❜❛s❡ ❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥
SLIDE 19
❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ✉s✐♥❣ ❊▲▼✳
5 10 15 20 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Dimension Recognition rate ICA Mean−field ICA Infomax ICA M&S LDA LICA PCA
❋✐❣✉r❡✿ ❘❡❝♦❣♥✐t✐♦♥ r❛t❡ ♦♥ ❉❇ ✹ ✭✸✹✼ s✉❜❥❡❝ts✮✳
SLIDE 20
❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ✉s✐♥❣ ❊▲▼✳
5 10 15 20 25 30 35 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Dimension Recognition Rate ICA Mean−field ICA Infomax ICA M&S LDA LICA PCA
❋✐❣✉r❡✿ ❘❡❝♦❣♥✐t✐♦♥ r❛t❡ ♦♥ ❉❇ ✸ ✭✽✸✷ s✉❜❥❡❝ts✮✳
SLIDE 21
❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ✉s✐♥❣ ❊▲▼✳
20 40 60 80 100 120 0.1 0.2 0.3 0.4 0.5 0.6 Dimension Recognition rate ICA Mean−field ICA Infomax ICA M&S LDA LICA PCA
❋✐❣✉r❡✿ ❘❡❝♦❣♥✐t✐♦♥ r❛t❡ ♦♥ ❉❇ ✷ ✭✸✷✹✾ s✉❜❥❡❝ts✮✳
SLIDE 22
❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ✉s✐♥❣ ❊▲▼✳
10 20 30 40 50 60 70 80 90 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Dimension Recognition rate ICA Mean−field ICA Infomax ICA M&S LDA LICA PCA
❋✐❣✉r❡✿ ❘❡❝♦❣♥✐t✐♦♥ r❛t❡ ♦♥ ❉❇ ✶ ✭✺✶✻✾ s✉❜❥❡❝ts✮✳
SLIDE 23
❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts✳ ❈❧❛ss✐✜❡r ❝♦♠♣❛r✐s♦♥✳
❉❇ ✹ ❉❇ ✸
❊▲▼ ✵✳✼✵✾✸ ✭✵✳✵✸✽✺✮ ✵✳✽✼✽✷ ✭✵✳✵✶✾✾✮ ❊▲▼✲❋▼ ✵✳✾✵✸✺ ✭✵✳✵✷✸✼✮ ✵✳✽✼✷✶ ✭✵✳✵✶✺✸✮ ❘❛♥❞♦♠ ❋♦r❡st ✵✳✼✼✶✾ ✭✵✳✵✶✵✵✮ ✵✳✼✺✵✻ ✭✵✳✵✹✽✾✮ ν − ❙❱▼ ✵✳✽✼✶✸ ✭✵✳✵✵✶✷✮ ✵✳✽✺✵✾ ✭✵✳✵✸✸✹✮ ❋❋◆◆ ❘P❘❖P ✵✳✽✹✾✹ ✭✵✳✵✷✶✼✮ ✵✳✼✽✵✵ ✭✵✳✵✷✵✶✮ ❋❋◆◆ ❙❈● ✵✳✽✻✾✷ ✭✵✳✵✶✾✽✮ ✵✳✽✶✻✻ ✭✵✳✵✷✹✹✮
❉❇ ✷ ❉❇ ✶
❊▲▼ ✵✳✺✽✸✹ ✭✵✳✵✶✷✻✮ ✵✳✹✼✸✺ ✭✵✳✵✵✻✶✮ ❊▲▼✲❋▼ ✵✳✺✽✸✹ ✭✵✳✵✶✹✸✮ ✵✳✹✽✸✵ ✭✵✳✵✵✺✻✮ ❘❛♥❞♦♠ ❋♦r❡st ✵✳✸✹✺✼ ✭✵✳✵✶✸✺✮ ✵✳✷✹✸✶ ✭✵✳✵✶✷✻✮ ν − ❙❱▼ ✵✳✸✺✼✷ ✭✵✳✵✶✹✽✮ ✵✳✷✶✶✶ ✭✵✳✵✵✾✹✮ ❋❋◆◆ ❘P❘❖P ✵✳✶✹✹✽ ✭✵✳✵✵✽✹✮ ✵✳✸✼✶✾ ✭✵✳✵✷✷✽✮ ❋❋◆◆ ❙❈● ✵✳✶✷✵✺ ✭✵✳✵✵✷✹✮ ✵✳✷✶✶✵ ✭✵✳✵✸✸✽✮
❚❛❜❧❡✿ ❆✈❡r❛❣❡ t❡st✐♥❣ ❛❝❝✉r❛❝② ✭✈❛r✐❛♥❝❡✮ ❢♦r ✹ ❋❊❘❊❚ ❞❛t❛❜❛s❡ s✉❜s❡ts ♦♥ ❢❡❛t✉r❡s ❝♦♠♣✉t❡❞ ❜② t❤❡ ▲■❈❆ ❢❡❛t✉r❡ ❡①tr❛❝t✐♦♥ ❛❧❣♦r✐t❤♠✳
SLIDE 24
❖✉t❧✐♥❡
■♥tr♦❞✉❝t✐♦♥ ❋❡❛t✉r❡ ❊①tr❛❝t✐♦♥ ▼❡t❤♦❞s ❈❧❛ss✐✜❡rs ❋❛❝❡ ❉❛t❛❜❛s❡ ❊①♣❡r✐♠❡♥t❛❧ ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥
SLIDE 25
❉✐s❝✉ss✐♦♥✳
◮ ▲■❈❆ ✐s ❛ ❜❡tt❡r ❢❡❛t✉r❡ ❡①tr❛❝t✐♦♥ ❛❧❣♦r✐t❤♠ ❢♦r ❢❛❝❡
r❡❝♦❣♥✐t✐♦♥ ✇❤❡♥ ✇❡ ✉s❡ ❜✐❣ ❞❛t❛❜❛s❡s ✇✐t❤ ❤✐❣❤ s✉❜❥❡❝t t♦ ❝❧❛ss r❛t✐♦ ✈❛r✐❛❜✐❧✐t②✳
SLIDE 26
❉✐s❝✉ss✐♦♥✳
◮ ❚❤❡ ❥♦✐♥t ✉s❡ ♦❢ ▲■❈❆ ❛♥❞ ❊▲▼ ❤❛s r❡tr✐❡✈❡❞ t❤❡ ❜❡st
r❡❝♦❣♥✐t✐♦♥ r❡s✉❧ts✳ ❲❡ ❝❛♥ s✉❣❣❡st t❤❛t ▲❛tt✐❝❡✲❜❛s❡❞ ❊♥❞❡♠❜❡r ■♥❞✉❝t✐♦♥ ❆❧❣♦r✐t❤♠s ❝♦✉❧❞ ❜❡ ❜❡st ✜tt❡❞ t♦ ✇♦r❦ ✇✐t❤ ❊▲▼s t❤❛♥ ♦t❤❡r st❛t✐st✐❝❛❧ t♦♦❧s ✭P❈❆✱ ▲❉❆✮ ♦r ✐♥❞❡♣❡♥❞❡♥t ❝♦♠♣♦♥❡♥t ❡①tr❛❝t✐♦♥ ❛❧❣♦r✐t❤♠s ✭■❈❆ ■♥❢♦♠❛①✱ ■❈❆ ▼✫❙✱ ▼❡❛♥✲✜❡❧❞ ■❈❆✮✳
SLIDE 27
❉✐s❝✉ss✐♦♥✳
◮ ❊▲▼ ❛♥❞ ❊▲▼✲❋▼ ❛r❡ t❤❡ ♠♦st r♦❜✉st ♠❡t❤♦❞s ❢♦r ❧❛r❣❡
❞❛t❛❜❛s❡s ✇✐t❤ ❤✐❣❤ ❝❧❛ss✲✈❛r✐❛t✐♦♥ ✐♥❞✉❝❡❞ ♥♦✐s❡✳ ❲❤❡♥ t❤❡ ❞❛t❛❜❛s❡ s✐③❡ ✐s ✐♥❝r❡❛s❡❞✱ ❊▲▼ s❤♦✇ ❛♥ ✐♠♣r♦✈❡♠❡♥t ♦❢ ✶✷✹✪ ❛♥❞ ✾✺✪ ♦✈❡r t❤❡ r❡s✉❧ts ♦❢ ν − ❙❱▼ ❛♥❞ ❘❛♥❞♦♠ ❋♦r❡st r❡s♣❡❝t✐✈❡❧②✳ ❋❋◆◆s ✇✐t❤ st❛♥❞❛r❞ ❧❡❛r♥✐♥❣ ❛❧❣♦r✐t❤♠s s❤♦✇ ✇♦rs❡ ♣❡r❢♦r♠❛♥❝❡ t❤❛♥ t❤❡ r❡st ♦❢ t❤❡ ❝❧❛ss✐✜❡rs✳
SLIDE 28
❋✉t✉r❡ ✇♦r❦✳
◮ ❚❤❡ ❝♦♠♣♦s✐t✐♦♥ ♦❢ ▲■❈❆ ❢❡❛t✉r❡ ❡①tr❛❝t✐♦♥ ❛♥❞ ❊▲▼
❝❧❛ss✐✜❝❛t✐♦♥ s❤♦✇ ♣r♦♠✐s✐♥❣ r❡s✉❧ts ✐♥ t❤❡ ❞♦♠❛✐♥ ♦❢ ❢❛❝❡ r❡❝♦❣♥✐t✐♦♥✳ ❲❡ t❤✐♥❦ t❤❛t ✐t ✇♦✉❧❞ ❜❡ ✐♥t❡r❡st✐♥❣ t♦ ❡①♣❧♦r❡ ❢✉rt❤❡r t❤❡ ✐♥t❡r♣❧❛② ❜❡t✇❡❡♥ ▲❛tt✐❝❡ ❈♦♠♣✉t✐♥❣✲❜❛s❡❞ ❢❡❛t✉r❡ ❡①tr❛❝t✐♦♥ ♠❡t❤♦❞s ❛♥❞ ❊①tr❡♠❡ ▲❡❛r♥✐♥❣ ▼❛❝❤✐♥❡s✳
SLIDE 29
❋✉t✉r❡ ✇♦r❦✳
◮ ❚❤❡ ❝♦♠♣♦s✐t✐♦♥ ♦❢ ▲■❈❆ ❢❡❛t✉r❡ ❡①tr❛❝t✐♦♥ ❛♥❞ ❊▲▼
❝❧❛ss✐✜❝❛t✐♦♥ s❤♦✇ ♣r♦♠✐s✐♥❣ r❡s✉❧ts ✐♥ t❤❡ ❞♦♠❛✐♥ ♦❢ ❢❛❝❡ r❡❝♦❣♥✐t✐♦♥✳
◮ ❲❡ t❤✐♥❦ t❤❛t ✐t ✇♦✉❧❞ ❜❡ ✐♥t❡r❡st✐♥❣ t♦ ❡①♣❧♦r❡ ❢✉rt❤❡r t❤❡
✐♥t❡r♣❧❛② ❜❡t✇❡❡♥ ▲❛tt✐❝❡ ❈♦♠♣✉t✐♥❣✲❜❛s❡❞ ❢❡❛t✉r❡ ❡①tr❛❝t✐♦♥ ♠❡t❤♦❞s ❛♥❞ ❊①tr❡♠❡ ▲❡❛r♥✐♥❣ ▼❛❝❤✐♥❡s✳
SLIDE 30