Single-layer two-head Transformers learn sparse XOR with O(polylog(d)) parameters in one gradient step, breaking the Omega(d) parameter bottleneck of FFNNs.
Jacob Devlin, Ming-Wei Chang, Kenton Lee, and Kristina Toutanova
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Transformers Provably Learn Sparse XOR with Polylogarithmic Parameters
Single-layer two-head Transformers learn sparse XOR with O(polylog(d)) parameters in one gradient step, breaking the Omega(d) parameter bottleneck of FFNNs.