1 2 MHT - - PowerPoint PPT Presentation

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1 2 MHT - - PowerPoint PPT Presentation

Jul 15, 2023 674 likes •1.05k views

1 2 MHT 2 + 2 min 2 + 2 min

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1

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SLIDE 2

2

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SLIDE 9
  • MHT
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𝒀 𝒘 𝒙

𝑥

−

min

𝒙

𝒀𝒙 − 𝒘 2 + 𝜇 𝒙 2

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SLIDE 23

𝒀 𝑾 𝑿 min

𝑿

𝒀𝑿 − 𝑾 𝐺

2 + 𝜇 𝑿 𝐺 2

−

𝑥1 𝑥2

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SLIDE 24

𝒀, 𝑾 → 𝒀𝑢, 𝑾𝑢 𝑢 = 1,2,3, … , k min

𝑿

𝒀𝑿 − 𝑾 𝐺

2 + 𝜇 𝑿 𝐺 2

𝑢 = 1 𝒀𝟐 𝑾𝟐

min

𝑿𝟐

𝒀𝟐𝑿𝟐 − 𝑾𝟐 𝐺

2 + 𝜇 𝑿𝟐 𝐺 2 decomposed

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SLIDE 25

𝒀, 𝑾 → 𝒀𝑢, 𝑾𝑢 𝑢 = 1,2,3, … , k min

𝑿

𝒀𝑿 − 𝑾 𝐺

2 + 𝜇 𝑿 𝐺 2

𝑢 = 1 𝑢 = 2 𝒀𝟐 𝑾𝟐 𝑾𝟑 𝒀𝟑

min

𝑿𝟐

𝒀𝟐𝑿𝟐 − 𝑾𝟐 𝐺

2 + 𝜇 𝑿𝟐 𝐺 2 decomposed

min

𝑿𝟑

𝒀𝟐𝑿𝟑 − 𝑾𝟐 𝐺

2 + 𝒀𝟑𝑿𝟑 − 𝑾𝟑 𝐺 2

+𝜇 𝑿𝟑 𝐺

2

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SLIDE 26

𝒀, 𝑾 → 𝒀𝑢, 𝑾𝑢 𝑢 = 1,2,3, … , k min

𝑿

𝒀𝑿 − 𝑾 𝐺

2 + 𝜇 𝑿 𝐺 2

𝑢 = 1 𝑢 = 2 𝑢 = 3 𝒀𝟐 𝑾𝟐 𝑾𝟑 𝒀𝟑 𝑾𝟒 𝒀𝟒

min

𝑿𝟒

𝒀𝟐𝑿𝟒 − 𝑾𝟐 𝐺

2 + 𝒀𝟑𝑿𝟒 − 𝑾𝟑 𝐺 2

+ 𝒀𝟒𝑿𝟒 − 𝑾𝟒 𝐺

2 + 𝜇 𝑿𝟒 𝐺 2

min

𝑿𝟐

𝒀𝟐𝑿𝟐 − 𝑾𝟐 𝐺

2 + 𝜇 𝑿𝟐 𝐺 2

min

𝑿𝟑

𝒀𝟐𝑿𝟑 − 𝑾𝟐 𝐺

2 + 𝒀𝟑𝑿𝟑 − 𝑾𝟑 𝐺 2

+𝜇 𝑿𝟑 𝐺

2 decomposed

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SLIDE 27

min

𝑿𝑙 𝑢=1 𝑙−1

𝒀𝑢𝑿𝑙 − 𝑾𝑢

𝐺 2 + 𝒀𝑙𝑿𝑙 − 𝑾𝑙 𝐺 2 + 𝜇 𝑿𝑙 𝐺 2

𝑿𝑙 = 𝑰𝑙 + 𝜇𝑱 −1𝑫𝑙 𝑰𝑙 = 𝑢=1

𝑙

𝒀𝑢

𝑈𝒀𝑢,

𝑫𝑙 = 𝑢=1

𝑙

𝒀𝑢

𝑈𝑾𝑢

𝑿𝑙: 𝑰𝑙 𝑫𝑙

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𝑰𝑙 (𝑰𝑙+𝜇𝑱) 𝑃(𝑛𝑙𝑒2 + 𝑒3) 𝑫𝑙 𝑃(𝑒𝑛𝑙𝑜𝑙) 𝑿𝑙 = (𝑰𝑙+𝜇𝑱)−1𝑫𝑙 𝑜𝑙 k 𝑛𝑙 k ~ 𝑒 𝑜𝑙 𝑜𝑙

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30

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Method MOTA MOTP MT ML IDS FM Hz MHT-DAM 32.4 71.8 16.0% 43.8% 435 826 0.7 MHT 29.2 71.7 12.1% 53.3% 476 781 0.8 LP_SSVM 25.2 71.7 5.8% 53.0% 646 849 41.3 ELP 25.0 71.2 7.5% 43.8% 1,396 1,804 5.7 MotiCon 23.1 70.9 4.7% 52.0% 1,018 1,061 1.4 SegTrack 22.5 71.7 5.8% 63.9% 697 737 0.2 CEM 19.3 70.7 8.5% 46.5% 813 1,023 1.1 RMOT 18.6 69.6 5.3% 53.3% 684 1,282 7.9 SMOT 18.2 71.2 2.8% 54.8% 1,148 2,132 2.7 TBD 15.9 70.9 6.4% 47.9% 1,939 1,963 0.7 TC_ODAL 15.1 70.5 3.2% 55.8% 637 1,716 1.7 DP_NMS 14.5 70.8 6.0% 40.8% 4,537 3,090 444.8

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Method MOTA MOTP MT ML IDS FM Hz MHT-DAM 32.4 71.8 16.0% 43.8% 435 826 0.7 MHT 29.2 71.7 12.1% 53.3% 476 781 0.8 LP_SSVM 25.2 71.7 5.8% 53.0% 646 849 41.3 ELP 25.0 71.2 7.5% 43.8% 1,396 1,804 5.7 MotiCon 23.1 70.9 4.7% 52.0% 1,018 1,061 1.4 SegTrack 22.5 71.7 5.8% 63.9% 697 737 0.2 CEM 19.3 70.7 8.5% 46.5% 813 1,023 1.1 RMOT 18.6 69.6 5.3% 53.3% 684 1,282 7.9 SMOT 18.2 71.2 2.8% 54.8% 1,148 2,132 2.7 TBD 15.9 70.9 6.4% 47.9% 1,939 1,963 0.7 TC_ODAL 15.1 70.5 3.2% 55.8% 637 1,716 1.7 DP_NMS 14.5 70.8 6.0% 40.8% 4,537 3,090 444.8

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MT

30.4 12.2 13.3 16.0 13.2 11.2 9.7 8.9 8.5

ID Sw.

637 442 464 435 680 712 798 604 639

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