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Paper overview: "Deep Residual Learning for Image Recognition"

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Ilya Kuzovkin
Ilya Kuzovkin

A talk given at Computational Neuroscience Seminar @ University of Tartu. We discuss the idea behind deep neural network that has won ILSVRC (ImageNet) 2015 and COCO 2015 Image competitions.

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Article overview by Ilya Kuzovkin K. He, X. Zhang, S. Ren and J. Sun Microsoft Research Computational Neuroscience Seminar University of Tartu 2016 Deep Residual Learning for Image Recognition ILSVRC 2015 MS COCO 2015 WINNER
THE IDEA
1000 classes
2012 8 layers 15.31% error
2012 8 layers 15.31% error 2013 9 layers, 2x params 11.74% error
2012 8 layers 15.31% error 2013 2014 9 layers, 2x params 11.74% error 19 layers 7.41% error
2012 8 layers 15.31% error 2013 2014 2015 9 layers, 2x params 11.74% error 19 layers 7.41% error ?
2012 8 layers 15.31% error 2013 2014 2015 9 layers, 2x params 11.74% error 19 layers 7.41% error Is learning better networks as easy as stacking more layers? ?
? 2012 8 layers 15.31% error 2013 2014 2015 9 layers, 2x params 11.74% error 19 layers 7.41% error Is learning better networks as easy as stacking more layers? Vanishing / exploding gradients
? 2012 8 layers 15.31% error 2013 2014 2015 9 layers, 2x params 11.74% error 19 layers 7.41% error Is learning better networks as easy as stacking more layers? Vanishing / exploding gradients Normalized initialization & intermediate normalization
? 2012 8 layers 15.31% error 2013 2014 2015 9 layers, 2x params 11.74% error 19 layers 7.41% error Is learning better networks as easy as stacking more layers? Vanishing / exploding gradients Normalized initialization & intermediate normalization Degradation problem
Degradation problem “with the network depth increasing, accuracy gets saturated”
Not caused by overfitting: Degradation problem “with the network depth increasing, accuracy gets saturated”
Conv Conv Conv Conv Trained Accuracy X% Tested
Conv Conv Conv Conv Trained Accuracy X% Conv Conv Conv Conv Identity Identity Identity Identity Tested Tested
Conv Conv Conv Conv Trained Accuracy X% Conv Conv Conv Conv Identity Identity Identity Identity Same performance Tested Tested
Conv Conv Conv Conv Trained Accuracy X% Conv Conv Conv Conv Identity Identity Identity Identity Same performance Conv Conv Conv Conv Conv Conv Conv Conv Trained Tested Tested Tested
Conv Conv Conv Conv Trained Accuracy X% Conv Conv Conv Conv Identity Identity Identity Identity Same performance Conv Conv Conv Conv Conv Conv Conv Conv Trained Worse! Tested Tested Tested
Conv Conv Conv Conv Trained Accuracy X% Conv Conv Conv Conv Identity Identity Identity Identity Same performance Conv Conv Conv Conv Conv Conv Conv Conv Trained Worse! Tested Tested Tested “Our current solvers on hand are unable to find solutions that are comparably good or better than the constructed solution (or unable to do so in feasible time)”
Conv Conv Conv Conv Trained Accuracy X% Conv Conv Conv Conv Identity Identity Identity Identity Same performance Conv Conv Conv Conv Conv Conv Conv Conv Trained Worse! Tested Tested Tested “Our current solvers on hand are unable to find solutions that are comparably good or better than the constructed solution (or unable to do so in feasible time)” “Solvers might have difficulties in approximating identity mappings by multiple nonlinear layers”
Conv Conv Conv Conv Trained Accuracy X% Conv Conv Conv Conv Identity Identity Identity Identity Same performance Conv Conv Conv Conv Conv Conv Conv Conv Trained Worse! Tested Tested Tested “Our current solvers on hand are unable to find solutions that are comparably good or better than the constructed solution (or unable to do so in feasible time)” “Solvers might have difficulties in approximating identity mappings by multiple nonlinear layers” Add explicit identity connections and “solvers may simply drive the weights of the multiple nonlinear layers toward zero”
Add explicit identity connections and “solvers may simply drive the weights of the multiple nonlinear layers toward zero” is the true function we want to learn
Add explicit identity connections and “solvers may simply drive the weights of the multiple nonlinear layers toward zero” is the true function we want to learn Let’s pretend we want to learn instead.
Add explicit identity connections and “solvers may simply drive the weights of the multiple nonlinear layers toward zero” is the true function we want to learn Let’s pretend we want to learn instead. The original function is then
Network can decide how deep it needs to be…
Network can decide how deep it needs to be… “The identity connections introduce neither extra parameter nor computation complexity”
2012 8 layers 15.31% error 2013 2014 2015 9 layers, 2x params 11.74% error 19 layers 7.41% error ?
2012 8 layers 15.31% error 2013 2014 2015 9 layers, 2x params 11.74% error 19 layers 7.41% error 152 layers 3.57% error
EXPERIMENTS AND DETAILS
• Lots of convolutional 3x3 layers • VGG complexity is 19.6 billion FLOPs 34-layer-ResNet is 3.6 bln. FLOPs
• Lots of convolutional 3x3 layers • VGG complexity is 19.6 billion FLOPs 34-layer-ResNet is 3.6 bln. FLOPs ! • Batch normalization • SGD with batch size 256 • (up to) 600,000 iterations • LR 0.1 (divided by 10 when error plateaus) • Momentum 0.9 • No dropout • Weight decay 0.0001
• Lots of convolutional 3x3 layers • VGG complexity is 19.6 billion FLOPs 34-layer-ResNet is 3.6 bln. FLOPs ! • Batch normalization • SGD with batch size 256 • (up to) 600,000 iterations • LR 0.1 (divided by 10 when error plateaus) • Momentum 0.9 • No dropout • Weight decay 0.0001 ! • 1.28 million training images • 50,000 validation • 100,000 test
• 34-layer ResNet has lower training error. This indicates that the degradation problem is well addressed and we manage to obtain accuracy gains from increased depth.
• 34-layer ResNet has lower training error. This indicates that the degradation problem is well addressed and we manage to obtain accuracy gains from increased depth. ! • 34-layer-ResNet reduces the top-1 error by 3.5%
• 34-layer ResNet has lower training error. This indicates that the degradation problem is well addressed and we manage to obtain accuracy gains from increased depth. ! • 34-layer-ResNet reduces the top-1 error by 3.5% ! • 18-layer ResNet converges faster and thus ResNet eases the optimization by providing faster convergence at the early stage.
GOING DEEPER
Due to time complexity the usual building block is replaced by Bottleneck Block 50 / 101 / 152 - layer ResNets are build from those blocks
ANALYSIS ON CIFAR-10
ImageNet Classification 2015 1st 3.57% error ImageNet Object Detection 2015 1st 194 / 200 categories ImageNet Object Localization 2015 1st 9.02% error COCO Detection 2015 1st 37.3% COCO Segmentation 2015 1st 28.2% http://research.microsoft.com/en-us/um/people/kahe/ilsvrc15/ilsvrc2015_deep_residual_learning_kaiminghe.pdf

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