نسخة أولية وصول مفتوح
The Hidden Ratio in Adam: Stable Structure, Compression, and Sign Dynamics
Adam is the default optimizer for training modern deep neural networks, yet its adaptive behavior remains poorly understood due to the complex interaction between its first- and second-moment exponential moving averages (EMAs). We study Adam in the tied-$β$ regime, where the two EMA decay rates are equal, and show that …