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DeeppermNet: Visual Permutation Learning
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Deeppermnet
1.
DeepPermNet: Visual Permutation
Learning Kang, Min-Guk Mingukkang1994@gmail.com May, 12, 2019 1/25 PR-162 https://arxiv.org/abs/1704.02729
2.
Contents 1. What is
Permutation Learning? 2. DeepPermNet 3. Experiments 2/25
3.
3/25 What is Permutation
Learning?
4.
4/25 Celebrity Fight Ranking https://ppt21.com/pb/pb.php?id=humor&no=289642
5.
5/25 Celebrity Fight Ranking ???
6.
6/25 Rank prediction
7.
7/25 1 ranked: ~ 2
ranked: ~ 3 ranked: ~ 4 ranked: ~ 5 ranked: ~ … 99 ranked: ~
8.
8/25 1 ranked: ~ 2
ranked: ~ 3 ranked: ~ 4 ranked: ~ 5 ranked: ~ … 94 ranked: ~
9.
9/25 Self-Supervised Visual Representation
Learning Learning Image Representations by Completing Damaged Jigsaw Puzzles(WACV, 2018) Unsupervised Learning of Visual Representations by Solving Jigsaw Puzzles(ECCV, 2016)
10.
10/25
11.
11/25 DeeppermNet
12.
12/25https://www.cc.gatech.edu/~parikh/relative.html#translations Atttribute Rank prediction (Relative
Attributes Data set) We want to list images in order of laughter.
13.
13/25 smile 𝑋 𝑃 = 0 0 1 0 0 0 0 1 0
1 0 1 0 0 0 0 Random Permutation 𝑋 https://www.cc.gatech.edu/~parikh/relative.html#translations We want to predict inverse permutation matrix 𝑃 𝑇 using Deep Neural Networks. 𝑃 𝑇 Atttribute Rank prediction
14.
14/25https://www.cc.gatech.edu/~parikh/relative.html#translations Atttribute Rank prediction (Relative
Attributes Data set) 𝑃 𝑇
15.
15/25 First Strategy Neural Networks 0.10 0.05… 0.5 4! classes … 0.01 0.01 0.05 Problems 1.
Cheating Problem 2. Factorial… Channel-wise Concatenate
16.
16/25 First Strategy The Neural
Networks can cheat! 9! = 362880
17.
17/25 Second Strategy 𝑋 Neural Networks (Θ) Neural Networks (Θ) Neural Networks (Θ) 5 1 2 5 1 2 5 1 2 5 1 2 2 0 4 8 4 0 9 6 1 6 0.1 0.1 0.7 0.0 0.2 0.1 0.1 0.7 0.0
0.8 0.1 0.8 0.1 0.1 0.1 0.0Sinkhorn iteration 𝑃 = 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 L2 distance Neural Networks (Θ) Doubly Stochastic Matrix
18.
18/25 Second Strategy 1 6 0.1 0.1 0.7 0.0 0.2 0.1 0.1 0.7 0.0
0.8 0.1 0.8 0.1 0.1 0.1 0.0 Reshape And Sinkhorn Iteration 𝑃 = 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 Doubly Stochastic Matrix 1 1 8 0 2 1 4 17 0 8 0 15 1 1 1 0 1 6 0.1 0.1 0.8 0 0.1 0.1 0.2 0.85 0 0.8 0 0.75 0.05 0.1 0.05 0 0.1 0.08 0.8 0 0.1 0.08 0.16 0.68 0 0.842 0 0.9375 0.0625 0.105 0.053 0 … Doubly Stochastic Matrix
19.
19/25 Experiment
20.
20/25 Data set: Relative
Attribute(ICCV 2011) 800 facial images of eleven physical attributes.
21.
21/25 Metrics Hamming Similarity(HS) 𝐾𝑇 = 𝑐+
− 𝑐− 0.5𝑙(𝑙−1) , 𝑐+ , 𝑐− = the number of all pairs in the sequence that are correctly and incorrectly ordered. Kendall-Tau Similarity L1 normalization error(NE) “Karolin” and “kathrin” = 4 7 × 100 = 57.1% “PR12_162” and “PR12_161” = 5 8 × 100 = 62.5% Target: ABCD Ours: BADC BA, BD, BC, AD, AC, DC = 4−2 0.5×4×3 × 100 = 33.3%
22.
22/25 Results 1 Neural Networks (Θ) Neural Networks (Θ) Weight sharing 5 1 2 5 1 2 1 0 2 4 2 0 4 8 2 Naïve
App
23.
23/25 Results 2 … … O
O Ox Make pair-wise sets
24.
24/25 Results(Self-Supervised Visual Representation
Learning)
25.
Thank you! 25/25
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