The paper's main mean-field theorem for BitNet-like training is not proven: it assumes key regularity and uses an invalid distributional limit step.
Gradient Flows: in Metric Spaces and in the Space of Probability Measures
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Latent-Space Mean-Field Theory for Deep BitNet-like Training: Constrained Gradient Flows with Smooth Quantization and STE Limits
The paper's main mean-field theorem for BitNet-like training is not proven: it assumes key regularity and uses an invalid distributional limit step.