Summary of Gaussian Universality in Neural Network Dynamics with Generalized Structured Input Distributions, by Jaeyong Bae et al.
Gaussian Universality in Neural Network Dynamics with Generalized Structured Input Distributions
by Jaeyong Bae, Hawoong Jeong
First submitted to arxiv on: 1 May 2024
Categories
- Main: Machine Learning (stat.ML)
- Secondary: Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech); Machine Learning (cs.LG)
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Summary difficulty | Written by | Summary |
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High | Paper authors | High Difficulty Summary Read the original abstract here |
Medium | GrooveSquid.com (original content) | Medium Difficulty Summary The proposed research bridges the gap between practical performance and theoretical foundations of deep learning by analyzing neural networks through stochastic gradient descent (SGD). Building on previous studies that focused on modeling structured inputs under a simple Gaussian setting, the authors analyze the behavior of a deep learning system trained on inputs modeled as Gaussian mixtures to simulate more general structured inputs. The study demonstrates that under certain standardization schemes, the deep learning model converges toward Gaussian setting behavior, even when input data follow complex or real-world distributions. |
Low | GrooveSquid.com (original content) | Low Difficulty Summary This paper shows how a deep learning system works well even with different types of structured data. It’s like finding a pattern in many different types of pictures. The researchers used a special way to look at the data that makes it act like simple Gaussian data, which is easier to understand. This helps us understand how deep learning models work. |
Keywords
» Artificial intelligence » Deep learning » Stochastic gradient descent