<p>Understanding how neural networks learn and optimize remains a central point in machine learning, with implications for designing better models. While techniques like dropout and batch normalization are widely used, the underlying principles driving their success-such as symmetry breaking, a concept in physics-are underexplored. We propose the symmetry breaking hypothesis, showing that breaking symmetries during training (e.g., via input expansion) substantially improves performance across tasks. We develop a metric to quantify symmetry breaking in networks, revealing its role in common optimization methods and its connection to properties like equivariance. This metric offers a practical tool to evaluate architectures without exhaustive training or full datasets, enabling more efficient design choices. Our work positions symmetry breaking as a unifying principle behind optimization techniques, bridging theoretical gaps and providing actionable insights for improving model efficiency.</p>

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Symmetry breaking in neural network optimization: insights from input dimension expansion

  • Jun-Jie Zhang,
  • Nan Cheng,
  • Fu-Peng Li,
  • Xiu-Cheng Wang,
  • Jian-Nan Chen,
  • Long-Gang Pang,
  • Deyu Meng

摘要

Understanding how neural networks learn and optimize remains a central point in machine learning, with implications for designing better models. While techniques like dropout and batch normalization are widely used, the underlying principles driving their success-such as symmetry breaking, a concept in physics-are underexplored. We propose the symmetry breaking hypothesis, showing that breaking symmetries during training (e.g., via input expansion) substantially improves performance across tasks. We develop a metric to quantify symmetry breaking in networks, revealing its role in common optimization methods and its connection to properties like equivariance. This metric offers a practical tool to evaluate architectures without exhaustive training or full datasets, enabling more efficient design choices. Our work positions symmetry breaking as a unifying principle behind optimization techniques, bridging theoretical gaps and providing actionable insights for improving model efficiency.