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Summary of How Can Deep Neural Networks Fail Even with Global Optima?, by Qingguang Guan


How Can Deep Neural Networks Fail Even With Global Optima?

by Qingguang Guan

First submitted to arxiv on: 23 Jul 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Numerical Analysis (math.NA)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper explores the relationship between global optima and performance in deep neural networks. The authors investigate how different activation functions, such as ReLU, Parametric ReLU, and Sigmoid, affect the expressiveness of shallow and deep networks. They show that, despite having global optima, extremely overfitting deep networks can still fail to perform well on classification and function approximation tasks.
Low GrooveSquid.com (original content) Low Difficulty Summary
Deep neural networks are great for solving certain problems like classification and function approximation. By adjusting weights and biases, we can build models that make accurate predictions. But what happens if our model finds the perfect solution? Does it always work well? The answer is no. In this study, researchers found a simple trick to extend shallow networks to any depth, and they also built overfitting deep networks that didn’t perform well despite being optimal.

Keywords

» Artificial intelligence  » Classification  » Overfitting  » Relu  » Sigmoid