EA-CG: An Approximate Second-Order Method for Training Fully-Connected Neural Networks

التفاصيل البيبلوغرافية
العنوان: EA-CG: An Approximate Second-Order Method for Training Fully-Connected Neural Networks
المؤلفون: Chen, Sheng-Wei, Chou, Chun-Nan, Chang, Edward Y.
سنة النشر: 2018
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Machine Learning
الوصف: For training fully-connected neural networks (FCNNs), we propose a practical approximate second-order method including: 1) an approximation of the Hessian matrix and 2) a conjugate gradient (CG) based method. Our proposed approximate Hessian matrix is memory-efficient and can be applied to any FCNNs where the activation and criterion functions are twice differentiable. We devise a CG-based method incorporating one-rank approximation to derive Newton directions for training FCNNs, which significantly reduces both space and time complexity. This CG-based method can be employed to solve any linear equation where the coefficient matrix is Kronecker-factored, symmetric and positive definite. Empirical studies show the efficacy and efficiency of our proposed method.
Comment: Change to AAAI-19 Version
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/1802.06502Test
رقم الانضمام: edsarx.1802.06502
قاعدة البيانات: arXiv