CAT Training CNNs for Image Classification with Noisy Labels
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1 yclic Annealing Training (AT) NNs for Image lassification with Noisy Labels JiaWei Li, Tao Dai, QingTao Tang, YeLi Xing, Shu-Tao Xia Tsinghua University October 8, 2018 AT Training NNs for Image lassification with Noisy Labels 1 / 15
2 Noisy Labels Noisy Labels Problem Noise Modeling with EM Speedup the training in M-cycle yclic Annealing Training Aggregate M-cycle NNs at test time Bagging NNs Algorithm Description AT on Noisy Labels Experiments Performance on MNIST Robustness on IFAR AT Training NNs for Image lassification with Noisy Labels 2 / 15
3 Noisy Labels Problem: I Labeling image dataset is a cubersome work and easily induce noise It has a large impact on learning Figure 1: left-middle1 -right might be labeled as dog, seal, and seal 1 opyright: AT Training NNs for Image lassification with Noisy Labels 3 / 15
4 Noise patterns: I Image x has a noisy label z, its true label y is unknown x y x z y z Figure 2: Two different noise patterns I Left: noisy label z only depends on true label y I Right: z depends on both of true label y and feature x AT Training NNs for Image lassification with Noisy Labels 4 / 15
5 Noise Modeling: Feature x NN h(x) Pattern Θ Parameter W True Label y=h(x) Noise Model Noisy Label z Figure 3: A typical label noise modeling procedure Learning with EM: I E-step: fix W and update the noise modeling parameter θ I M-step: use z, y=h(x, w), and θ to train W AT Training NNs for Image lassification with Noisy Labels 5 / 15 S
6 yclic Annealing Training (AT): I It abruptly raises the learning rate α and then quickly decreases it with a cosine function: α(t) = πmod(t 1, dt /e) α0 (cos( ) + 1) 2 dt /e I Align every annealing learning rate cycle to every M-step I Then use the obtained local minimal NN models to update the following E-step I Almost -times faster than original EM approaches AT Training NNs for Image lassification with Noisy Labels 6 / 15
7 AT vs standard training schedule: 085 Training Accuracy Standard Learning Rate Schedual yclic Annealing Training (AT) Epochs Figure 4: Training DenseNet-40 on IFAR-10 with different schedule AT Training NNs for Image lassification with Noisy Labels 7 / 15
8 Aggregate M-cycle NNs at test time: Figure 5: Using AT for Snapshot Ensemble1 I Once the training finished, collect all local minimal NNs P I The aggregating output will be: h AVG (x) = 1 c=1 h c (x) 1 ILR 2017 Gao Huang, et al Snapshot ensembles: Train 1, get m for free AT Training NNs for Image lassification with Noisy Labels 8 / 15
9 The log likelihood of model parameters are: L(W, θ) = n X t=1 k X log( p(zt yt = i; θ)p(yt = i xt ; W )) i=1 Algorithm 1: AT on Noisy Labels AT Training NNs for Image lassification with Noisy Labels 9 / 15
10 Noise Setting on MNIST: I We use the label flipping operation on MNIST dataset Figure 6: Label flipping with noise pattern [7,9,0,4,2,1,3,5,6,8] AT Training NNs for Image lassification with Noisy Labels 10 / 15
11 Performance on MNIST: AT True labels 10 Simple NAL Noisy Labels Noisy Labels Figure 7: The acquired transfer probability θ of AT and Simple NAL I 46% noisy labels with noise pattern [7,9,0,4,2,1,3,5,6,8] I The simple NAL has a 9968% classification accuracy and AT achieves 9977% AT Training NNs for Image lassification with Noisy Labels 11 / 15
12 Noise Setting on IFAR-100: I z depends on both of true label y and feature x Figure 8: Randomly selected images from the noisy-label IFAR AT Training NNs for Image lassification with Noisy Labels 12 / 15
13 Robustness on IFAR-100: IFAR-100 with random noise labels Test Accuracy 0350 Baseline NN Hard Bootstrap EM Simple NAL omplex NAL AT without Bagging AT Noise fraction Figure 9: ompare the robustness of noise modeling methods AT Training NNs for Image lassification with Noisy Labels 13 / 15
14 Selected Reference: 1 TNNLS 2014 lassification in the Presence of Label Noise: a Survey 2 ILR 2015 Training convolutional networks with noisy labels 3 ILR 2015 Training deep neural networks on noisy labels with bootstrapping 4 IASSP 2016 Training deep neural-networks based on unreliable labels 5 ILR 2017 Snapshot ensembles: Train 1, get m for free 6 ILR 2017 Training DNNs Using a Noise Adaptation Layer Some New Progress: 1 JMLR 2018 A theory of learning with corrupted labels 2 IML 2018 Mentornet: Learning data-driven curriculum for very deep neural networks on corrupted labels 3 IML 2018 Dimensionality-Driven Learning with Noisy Labels 4 VPR 2018 Iterative Learning with Open-set Noisy Labels 5 ILR 2019 submission Pumpout: A Meta Approach for Robustly Training Deep Neural Networks with Noisy Labels AT Training NNs for Image lassification with Noisy Labels 14 / 15
15 Thanks for listening! AT Training NNs for Image lassification with Noisy Labels 15 / 15
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