High-dimensional Statistical Inference from Coarse and Nonlinear Data

Released on by Haoyu Fu
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  • High-dimensional Statistical Inference from Coarse and Nonlinear Data Book Detail

  • Author : Haoyu Fu
  • Release Date : 2019
  • Publisher :
  • Genre : Machine learning
  • Pages : 142
  • ISBN 13 :
  • File Size : 28,28 MB
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High-dimensional Statistical Inference from Coarse and Nonlinear Data by Haoyu Fu PDF Summary

Book Description: Moving to the context of machine learning, we study several one-hidden-layer neural network models for nonlinear regression using both cross-entropy and least-squares loss functions. The neural-network-based models have attracted a significant amount of research interest due to the success of deep learning in practical domains such as computer vision and natural language processing. Learning such neural-network-based models often requires solving a non-convex optimization problem. We propose different strategies to characterize the optimization landscape of the non-convex loss functions and provide guarantees on the statistical and computational efficiency of optimizing these loss functions via gradient descent.

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