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Character-level language modeling on Tiny Shakespeare (val)

1.355Validation LossEGA-MORLET
1.32041.553951.78752.02105Mar 30, 2026Apr 9, 2026Apr 19, 2026Apr 30, 2026May 10, 2026May 20, 2026May 31, 2026

Evaluation results

MethodLinks
EGA-MORLETMechanism=EGA + MOPE2026.051.355————0.119
EGA-MORLETEncoding=MOPE + EGA2026.051.355————0.119
EGA-1Mechanism=energy gate alone2026.051.3821————0.092
EGA-1Encoding=learned emb + EGA2026.051.3821————0.092
BaselineParams=4,782,336, alpha=1.0002026.041.4422———2.0807—
TSAParams=4,864,901, alpha=0.726, TLOps saved=22.8%2026.041.4482———2.0893—
PE-ROPEMechanism=rotary (relative)2026.051.4637————0.011
PE-ROPEEncoding=ROPE (relative)2026.051.4637————0.011
BASE-DOTMechanism=dot product + learned PE2026.051.4742—————
BASE-DOTEncoding=learned embedding2026.051.4742—————
PE-MORLETMechanism=MOPE alone2026.051.506————0.032
PE-MORLETEncoding=MOPE (absolute)2026.051.506————-0.032
PE-SINCOSMechanism=fixed sin/cos2026.051.5863————0.112
PE-SINCOSEncoding=sin/cos (fixed)2026.051.5863————-0.112
MPObond dimension (χ)=16, Params=191 872, Ratio=5.3×2026.031.8551.6-1.23.72——
MPObond dimension (χ)=32, Params=408 832, Ratio=2.5×2026.031.8552.4-0.42.59——
DenseParams=1 020 224, Ratio=1.0×2026.031.8652.8—1.65——
MPObond dimension (χ)=8, Params=110 592, Ratio=9.2×2026.031.9546.8-64.45——
MPObond dimension (χ)=4, Params=78 336, Ratio=13.0×2026.032.2236.8-164.15——