Compressing CNN by alternating constraint optimization framework

Peidong Liu, Weirong Liu, Changhong Shi, Zhiqiang Zhang, Zhijun Li, Jie Liu
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Abstract

Tensor decomposition has been extensively studied for convolutional neural networks (CNN) model compression. However, the direct decomposition of an uncompressed model into low-rank form causes unavoidable approximation error due to the lack of low-rank property of a pre-trained model. In this manuscript, a CNN model compression method using alternating constraint optimization framework (ACOF) is proposed. Firstly, ACOF formulates tensor decomposition-based model compression as a constraint optimization problem with low tensor rank constraints. This optimization problem is then solved systematically in an iterative manner using alternating direction method of multipliers (ADMM). During the alternating process, the uncompressed model gradually exhibits low-rank tensor property, and then the approximation error in low-rank tensor decomposition can be negligible. Finally, a high-performance CNN compression network can be effectively obtained by SGD-based fine-tuning. Extensive experimental results on image classification show that ACOF produces the optimal compressed model with high performance and low computational complexity. Notably, ACOF compresses Resnet56 to 28% without accuracy drop, and the compressed model have 1.14% higher accuracy than learning-compression (LC) method.
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交替约束优化框架压缩CNN
张量分解在卷积神经网络(CNN)模型压缩中得到了广泛的研究。然而,由于缺乏预训练模型的低秩特性,直接将未压缩模型分解为低秩形式会导致不可避免的近似误差。本文提出了一种基于交替约束优化框架(ACOF)的CNN模型压缩方法。首先,ACOF将基于张量分解的模型压缩表述为具有低张量秩约束的约束优化问题。然后用乘法器的交替方向法(ADMM)以迭代的方式系统地求解了这个优化问题。在交替过程中,未压缩模型逐渐表现出低秩张量特性,此时低秩张量分解的近似误差可以忽略不计。最后,通过基于sgd的微调,可以有效地获得高性能的CNN压缩网络。大量的图像分类实验结果表明,ACOF产生的压缩模型具有高性能和低计算复杂度。值得注意的是,ACOF将Resnet56压缩到28%,而精度没有下降,压缩模型的精度比学习压缩(LC)方法提高了1.14%。
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