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Transformers learn translation, rotation, and scale invariance through distinct, identifiable mechanisms, paving the way for structured equivariant function learning.
Merging transformers sequentially along their execution path, rather than layer-by-layer, dramatically reduces error accumulation and unlocks principled multi-task capacity expansion.
Partial data augmentation can match the statistical benefits of full augmentation, challenging the notion that complete symmetry is necessary for optimal learning.