Compression of CNNs Mooyeol Baek Xiangyu Zhang, Jianhua Zou, Xiang Ming, Kaiming He, Jian Sun: Efficient and Accurate Approximations of Nonlinear Convolutional Networks. Yong-Deok Kim, Eunhyeok Park, Sungjoo Yoo, Taelim Choi, Lu Yang, Dongjun Shin: Compression of Deep Convolutional Neural Networks for Fast and Low Power Mobile Applications. Motivation • It’s practically important to accelerate the test-time computation of CNNs. • CNN filters can be approximately decomposed into a series of smaller filters by row-rank approximation. Approaches • Zhang et al. k m c n k 1 n c d’ 1 d’ n d n m • Kim et al. k m m 1 c 1 m c k m c’ n c’ 1 n d’ 1 d’ n d n Efficient and Accurate Approximations of Nonlinear Convolutional Networks. Xiangyu Zhang, Jianhua Zou, Xiang Ming, Kaiming He, Jian Sun Contribution • Low-rank approximation minimizing the reconstruction error of nonlinear responses. • Asymmetric reconstruction to reduce the accumulated error of multiple approximated layers. • Empirical observation of PCA energy to select proper rank. Low-rank Approximation k m c n k c m 1 n d’ 1 d’ n d n Low-rank Approximation Relaxation 𝐳 fixed 𝐌, 𝐛 fixed Asymmetric Reconstruction • Uses non-approximate responses to reduce the accumulated error of multiple approximated layers. Original Approximated Rank Selection Experiments [1] • Linear vs. Nonlinear Experiments [2] • Symmetric vs. Asymmetric Experiments [3] • Rank selection Compression of Deep Convolutional Neural Networks for Fast and Low Power Mobile Applications. Yong-Deok Kim, Eunhyeok Park, Sungjoo Yoo, Taelim Choi, Lu Yang, Dongjun Shin Contribution • One-shot whole network compression scheme which consists of simple three steps: 1. 2. 3. Rank selection (Variational Bayesian matrix factorization) Low-rank tensor decomposition (Tucker decomposition) Fine-tuning. Tensor Decomposition • Tucker decomposition Tensor Decomposition • Zhang et al. k m c n k 1 n c d’ 1 d’ n d n m • Kim et al. k m m 1 c 1 m c k m c’ n c’ 1 n d’ 1 d’ n d n Fine-tuning Experiments [1] Experiments [2]
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