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Example-count generalization on 1D conservation law 2,000 steps k=5 examples standardized (train)

0.108MAEStructuredFunctionPE
0.092920.194710.29650.39829May 9, 2026

Evaluation results

MethodLinks
StructuredFunctionPEVariant=EvE, Run=2, Key Mechanism=Interpolated demo PE + local sinusoid + structured RoPE/bias2026.050.108
InterpolatedDemoPEVariant=EvE, Run=1, Key Mechanism=Interpolated demo PE + structured demo/role attention bias2026.050.114
StructuredDemoRolePEVariant=Static-Initial, Run=1, Key Mechanism=Power-law demo compression + sinusoid + demo-aware ALiBi/RoPE2026.050.115
StructuredDemoRolePEVariant=Static-Final, Run=2, Key Mechanism=Tanh demo compression + structured RoPE/bias2026.050.128
RoleOnlyPEVariant=Static-Initial, Run=2, Key Mechanism=Role-only PE + compressed-demo rotary attention2026.050.159
StructuredInterpolationPEVariant=Static-Final, Run=1, Key Mechanism=Linear clamp + sinusoidal example signal2026.050.197
VanillaICON (nn.Embedding)Variant=Seed, Run=n/a, Key Mechanism=Flat learned lookup (no structure)2026.050.485