r t r t
play

rt - PowerPoint PPT Presentation

rt rt rs rs r


  1. ■♠❛❣❡ ❛♥❞ ✈✐❞❡♦ ❝♦❧♦r✐③❛t✐♦♥ ❜② ✈❛r✐❛t✐♦♥❛❧ ❛♣♣r♦❛❝❤❡s ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ❯♥✐✈✳ ❇♦r❞❡❛✉①✱ ■▼❇ ❏♦✐♥t ✇♦r❦ ✇✐t❤ ❋❛❜✐❡♥ P✐❡rr❡✱ ❆✉r❡❧✐❡ ❇✉❣❡❛✉✱ ❛♥❞ ❱✐♥❤✲❚❤♦♥❣ ❚❛ ❚❤✉rs❞❛② ✼t❤ ❏✉❧② ✷✵✶✻ ✶✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  2. ❖✈❡r✈✐❡✇ ❈♦❧♦r✐③❛t✐♦♥ ♣r♦❜❧❡♠ ✶ ▲✉♠✐♥❛♥❝❡✲❝❤r♦♠✐♥❛♥❝❡ ❝♦✉♣❧❡❞ ♠♦❞❡❧ ✷ Pr✐♠❛❧✲❞✉❛❧ ❧✐❦❡ ❛❧❣♦r✐t❤♠✳ ✸ ❯♥✐✜❡❞ ♠♦❞❡❧ ❢♦r ❝♦❧♦r✐③❛t✐♦♥ ✹ ❊①t❡♥s✐♦♥ t♦ ✈✐❞❡♦ ✺ ✷✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  3. ❖✈❡r✈✐❡✇ ❈♦❧♦r✐③❛t✐♦♥ ♣r♦❜❧❡♠ ✶ ▲✉♠✐♥❛♥❝❡✲❝❤r♦♠✐♥❛♥❝❡ ❝♦✉♣❧❡❞ ♠♦❞❡❧ ✷ Pr✐♠❛❧✲❞✉❛❧ ❧✐❦❡ ❛❧❣♦r✐t❤♠✳ ✸ ❯♥✐✜❡❞ ♠♦❞❡❧ ❢♦r ❝♦❧♦r✐③❛t✐♦♥ ✹ ❊①t❡♥s✐♦♥ t♦ ✈✐❞❡♦ ✺ ✸✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  4. ▲✉♠✐♥❛♥❝❡✲❝❤r♦♠✐♥❛♥❝❡ s♣❛❝❡ ▲✉♠✐♥❛♥❝❡ ✿ ❨ = ✵ . ✷✾✾ ❘ + ✵ . ✺✽✼ ● + ✵ . ✶✶✹ ❇ ( ❯ , ❱ ) ❛r❡ ❞❡✜♥❡❞ s✉❝❤ t❤❛t✿ [ ✵ , ✷✺✺ ] ✸ → [ ❛ ✶ , ❛ ✷ ] × [ ❜ ✶ , ❜ ✷ ] × [ ❝ ✶ , ❝ ✷ ] ( ❘ , ❇ , ● ) �→ ( ❨ , ❯ , ❱ ) ✐s ❛ ❜✐❥❡❝t✐♦♥✳ ❚❤❡ ❤✉♠❛♥ ❡②❡ ✐s s❡♥s✐t✐✈❡ t♦ ❨❀ ■❢ ❨ ✐s ❛ ❣r❛②✲s❝❛❧❡ ✐♠❛❣❡ t♦ ❝♦❧♦r✐③❡✱ t❤❡ ❝♦♠♣✉t❛t✐♦♥ ♦❢ ❯ ❛♥❞ ❱ ❣✐✈❡s t❤❡ ❝♦❧♦r ✐♠❛❣❡✳ ❈♦❧♦r ✐♠❛❣❡✳ ●r❛②✲s❝❛❧❡ ✈❡rs✐♦♥ ✭❨✮✳ ✹✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  5. ▼❛♥✉❛❧ ❝♦❧♦r✐③❛t✐♦♥✳ ❙t❛t❡✲♦❢✲t❤❡✲❛rt✿ ▲❡✈✐♥ ❡t ❛❧✳ ✷✵✵✹✱ ❙❛♣✐r♦ ✷✵✵✺✱ ❍♦r✐✉❝❤✐ ❡t ❛❧✳ ✷✵✵✹ ❀ ◆❡❡❞ s♦♠❡ t❡❞✐♦✉s ✇♦r❦ ❢♦r t❤❡ ✉s❡r❀ ❘❡❣✉❧❛r r❡s✉❧ts❀ ▼♦st ♦❢ ♠❡t❤♦❞s ✇♦r❦ ✐♥ ❧✉♠✐♥❛♥❝❡✲❝❤r♦♠✐♥❛♥❝❡ s♣❛❝❡s✳ ❋✐❣✉r❡ ✿ ▼❛♥✉❛❧ ❝♦❧♦r✐③❛t✐♦♥ ♦❢ ▲❡✈✐♥ ❡t ❛❧✳ ✺✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  6. ❚❤❡ ♣r♦❜❧❡♠ ♦❢ ❡①❡♠♣❧❛r✲❜❛s❡❞ ❝♦❧♦r✐③❛t✐♦♥✳ ❙♦✉r❝❡✳ ❚❛r❣❡t✳ ❘❡s✉❧t✳ ❈♦rr❡s♣♦♥❞❡♥❝❡ ❜❡t✇❡❡♥ t❡①t✉r❡s ❛♥❞ ❝♦❧♦rs❀ ❘❡❣✉❧❛r✐③❛t✐♦♥ ♦❢ t❤❡ r❡s✉❧t ❢♦r ❛ r❡❛❧✐st✐❝ ✐♠❛❣❡❀ ❆ ♥❡✇ ❞✐✣❝✉❧t②✿ ✜♥❞ ❛♥ ❛♣♣r♦♣r✐❛t❡ s♦✉r❝❡ ✐♠❛❣❡✳ ✻✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  7. ❆❞❞ ♦❢ ❛ ♣r✐♦r ✇✐t❤ t❡①t✉r❡s✳ ❙t❛t❡✲♦❢✲t❤❡✲❛rt✿ ❲❡❧s❤ ❡t ❛❧✳ ✷✵✵✷❀ ◆♦ r❡❣✉❧❛r✐③❛t✐♦♥❀ Pr♦❜❧❡♠ ♦❢ t❤❡ ❝❤♦✐❝❡ ♦❢ ♠❡tr✐❝ ❜❡t✇❡❡♥ ♣❛t❝❤❡s❀ ▼❡t❤♦❞ ♦❢ ❲❡❧s❤ ❡t ❛❧✳ ✇♦r❦s ✐♥ t❤❡ ❧ αβ ❝♦❧♦r✲s♣❛❝❡✳ ✼✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  8. ❙♣❡❡❞ ✉♣ t❤❡ s❡❛r❝❤✳ ❙✉❜✲s❛♠♣❧✐♥❣ ♦❢ ✷✵✵ ♣✐①❡❧s ♦❢ t❤❡ ✐♠❛❣❡ ♦♥ ❛ ❣r✐❞✳ ❯s❡ ♦❢ ❛ ❢❛st ❛❧❣♦r✐t❤♠ s✉❝❤ ❛s ♣❛t❝❤♠❛t❝❤ ✭❇❛r♥❡s ❡t ❛❧ ✷✵✵✾✮ t♦ ✜♥❞ ❛ ❝❧♦s❡ ♣❛t❝❤✳ ✽✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  9. ❆❞❞ ♦❢ ❛ ♣r✐♦r ✇✐t❤ t❡①t✉r❡s✳ ❙t❛t❡✲♦❢✲t❤❡✲❛rt✿ ❈❤❛r♣✐❛t ❡t ❛❧✳ ✭ ▲❛❜ ✮ ✷✵✵✽✱ ❇✉❣❡❛✉ ❡t ❛❧✳ ✷✵✶✸ ✭ ❨❯❱ ✮✱ ●✉♣t❛ ❡t ❛❧✳ ✷✵✶✸ ✭ ❨❯❱ ✮✳ ❚✇♦ st❡♣s✿ ❙❡❛r❝❤ ♦❢ ✐♥❢♦r♠❛t✐♦♥✿ ❝❛♥❞✐❞❛t❡s ❡①tr❛❝t✐♦♥ ❢r♦♠ t❡①t✉r❡s ❝r✐t❡r✐❛❀ ❙♣❛t✐❛❧ r❡❣✉❧❛r✐③❛t✐♦♥ ♦❢ ❝♦❧♦rs✳ ✾✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  10. ▼❡tr✐❝s✳ ❯s❡❞ ❝r✐t❡r✐❛✿ st❛♥❞❛r❞✲❞❡✈✐❛t✐♦♥✿ ρ ✶ ( ♣ , q , P ) := | σ ✷ ( P ♣ ) − σ ✷ ( P q ) | ✱ ✇❤❡r❡ σ ( P ♣ ) st❛♥❞s ❢♦r t❤❡ st❛♥❞❛r❞✲❞❡✈✐❛t✐♦♥ ♦❢ t❤❡ ♣❛t❝❤ ❛r♦✉♥❞ t❤❡ ♣✐①❡❧ ♣ ❀ � � � || ˆ P ♣ ( ξ ) || ✷ − || ˆ t❤❡ ❉❋❚✿ ρ ✷ ( ♣ , q , P ) := � P q ( ξ ) || ✷ � ✱ ✇❤❡r❡ � � ξ ˆ P ♣ ✐s t❤❡ ❉❋❚ ♦❢ t❤❡ ♣❛t❝❤ ❛r♦✉♥❞ t❤❡ ♣✐①❡❧ ♣ ❀ ❝✉♠✉❧❛t✐✈❡ ❤✐st♦❣r❛♠✿ ρ ✸ ( ♣ , q , P ) := � ✐ | ❍ P ♣ ( ✐ ) − ❍ P q ( ✐ ) | ✱ ✇❤❡r❡ ❍ ✐s t❤❡ ❝✉♠✉❧❛t✐✈❡ ❤✐st♦❣r❛♠ ♦❢ t❤❡ ♣❛t❝❤ ❛r♦✉♥❞ t❤❡ ♣✐①❡❧ ♣ ✳ ✶✵✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  11. ❖✈❡r✈✐❡✇ ❈♦❧♦r✐③❛t✐♦♥ ♣r♦❜❧❡♠ ✶ ▲✉♠✐♥❛♥❝❡✲❝❤r♦♠✐♥❛♥❝❡ ❝♦✉♣❧❡❞ ♠♦❞❡❧ ✷ Pr✐♠❛❧✲❞✉❛❧ ❧✐❦❡ ❛❧❣♦r✐t❤♠✳ ✸ ❯♥✐✜❡❞ ♠♦❞❡❧ ❢♦r ❝♦❧♦r✐③❛t✐♦♥ ✹ ❊①t❡♥s✐♦♥ t♦ ✈✐❞❡♦ ✺ ✶✶✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  12. ▲✉♠✐♥❛♥❝❡✲❝❤r♦♠✐♥❛♥❝❡ ❝♦✉♣❧❡❞ ♠♦❞❡❧ ✭P✐❡rr❡ ❡t ❛❧ ✷✵✶✹✮ ❚❱ C ( ✉ ) + λ � ◆ � ✐ = ✶ ✇ ✐ || ✉ − ❝ ✐ || ✷ ❋ ( ✉ , ❲ ) := Ω ✷ + χ ✉ ∈ ❘ + χ ❲ ∈ ∆ ✳ ✉ ✿ ❝❤r♦♠✐♥❛♥❝❡ ✈❡❝t♦r✱ t♦ ❜❡ ❝♦♠♣✉t❡❞✳ ❘ ✐s ❛ r❡❝t❛♥❣❧❡ ✭✇❤❡r❡ t❤❡ ❝❤r♦♠❛t✐❝✐t② ❧✐✈❡s✮✳ � ✇ ∈ R ◆ s✳t✳ ✵ ≤ ✇ ✐ ≤ ✶ ✱ ∀ ✐ ∈ [ ✶ .. ◆ ] ❛♥❞ � ◆ � ∆ = ✐ = ✶ ✇ ✐ = ✶ ✳ ❝ ✐ ❛r❡ ❝❤r♦♠✐♥❛♥❝❡ ❝❛♥❞✐❞❛t❡s✳ � � γ∂ ① ❨ ✷ + γ∂ ② ❨ ✷ + ∂ ① ❯ ✷ + ∂ ② ❯ ✷ + ∂ ① ❱ ✷ + ∂ ② ❱ ✷ ❚❱ C ( ✉ ) = Ω ✶✷✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  13. ■♥t✉✐t✐♦♥s ❛❜♦✉t ❝♦✉♣❧✐♥❣✳ ❈♦♥s✐❞❡r t❤❡ ❢♦❧❧♦✇✐♥❣ ♠♦❞❡❧✿ ❋ ( ✉ , ❲ ) := ❚❱ C ( ✉ ) + λ � � ▼ ( ✉ − ❝ ) � ✷ ✷ Ω ❲✐t❤ ▼ ❛ ♠❛s❦ ❛♥❞ ❝ s❡❡❞s ♦❢ ❝♦❧♦r ♣✉t ❜② t❤❡ ✉s❡r✳ ❙❝r✐❜❜❧❡s ❲✐t❤♦✉t ❝♦✉♣❧✐♥❣ ❲✐t❤ ❝♦✉♣❧✐♥❣ ✶✸✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  14. ■♥t✉✐t✐♦♥s ❛❜♦✉t ❝♦✉♣❧✐♥❣✳ ❉✐✛❡r❡♥t r❡❣✉❧❛r✐③❛t✐♦♥s ✇✐t❤ ❞✐✛❡r❡♥t ❝♦✉♣❧✐♥❣✿ ❚❛r❣❡t ❙❝r✐❜❜❧❡s γ = ✵ γ = ✶ γ = ✶✵ ❙♠❛❧❧ γ ✿ ❝♦♥t♦✉rs ♦❢ ❧♦✇ ♣❡r✐♠❡t❡r ❢♦r ❝❤r♦♠✐♥❛♥❝❡ ❝❤❛♥♥❡❧s✳ ✶✹✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

  15. ❈♦♠♣❛r✐s♦♥ ❚❛r❣❡t ✐♠❛❣❡ s♦✉r❝❡ ■♠❛❣❡ ❇✉❣❡❛✉ ❡t ❛❧ ✇✐t❤♦✉t ♣♦st✲♣r♦❝❡ss✐♥❣ ❖✉r ♠♦❞❡❧ ✶✺✴✺✺ ❏❡❛♥✲❋r❛♥❝♦✐s ❆✉❥♦❧ ■♠❛❣❡ ❝♦❧♦r✐③❛t✐♦♥

Download Presentation
Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend


More recommend