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Character-level language modeling on Enwik8 (val)

1.04BPCAdaptive Transformer
1.0075841.2263921.44521.664008Sep 8, 2017Feb 14, 2019Jul 22, 2020Dec 28, 2021Jun 5, 2023Nov 10, 2024Apr 18, 2026

Evaluation results

MethodLinks
Adaptive TransformerLayers=12, Heads=96, Params=39M2019.111.04———
SHA-LSTMLayers=4, Heads=4, Params=54M, Hidden size (h)=1024, Attention=attention head per layer2019.111.096———
SHA-LSTMLayers=4, Heads=1, Params=52M, Hidden size (h)=1024, Attention=single attention head2019.111.1———
Mogrifier LSTMHeads=0, Params=48M2019.111.135———
SSR-S w/ noisenoise=true2025.111.136———
SSR-L w/ noisenoise=true2025.111.141———
Sinkhorn-based SMoE2025.111.143———
SMoE w/ aux. lossauxiliary loss=true2025.111.145———
Vanilla SMoE2025.111.147———
SMoE w/ noisenoise=true2025.111.154———
LSTMHeads=0, Params=48M2019.111.182———
SRU (with projection)Size=49m, #layers=12, Unroll size=256, Time=41min, projection dimension=5122017.091.19———
SRU (with projection)Size=47m, #layers=8, Unroll size=100, Time=39min, projection dimension=5122017.091.21———
SRU (with projection)Size=37m, #layers=6, Unroll size=100, Time=29min, projection dimension=5122017.091.25———
SRUSize=37m, #layers=10, Unroll size=100, Time=29min2017.091.26———
LSTMSize=46m, #layers=4, Unroll size=502017.091.28———
SRUSize=37m, #layers=6, Unroll size=100, Time=28min2017.091.29———
SHA-LSTMLayers=4, Heads=0, Params=51M, Hidden size (h)=1024, Attention=no attention head2019.111.312———
LSTMSize=37m, #layers=6, Unroll size=100, Time=48min2017.091.35———
QRNN (k=1)Size=37m, #layers=6, Unroll size=100, Time=30min2017.091.36———
LSTMSize=37m, #layers=3, Unroll size=100, Time=42min2017.091.37———
TSAα=0.833, TLOps saved=13.9%, ms/step=5992026.041.84291.2774——
Baselineα=1.000, ms/step=5852026.041.85041.2826——
HarmonicSeq. len=1,024, Token budget=65.5M tokens2026.05—6.5711.4—
HarmonicSeq. len=2,048, Token budget=65.5M tokens2026.05—6.4263.52.1
HarmonicSeq. len=4,096, Token budget=65.5M tokens2026.05—6.6875.11.6
HarmonicSeq. len=8,192, Token budget=65.5M tokens2026.05—6.3336.71.6
HarmonicSeq. len=16,384, Token budget=65.5M tokens2026.05—6.1969.93.2
HarmonicSeq. len=32,768, Token budget=131M2026.05—6.43311.41.5
HarmonicSeq. len=65,536, Token budget=65.5M tokens2026.05—6.169——
MambaSeq. len=1,024, Token budget=65.5M tokens2026.05—6.616——
MambaSeq. len=2,048, Token budget=65.5M tokens2026.05—6.532——
MambaSeq. len=4,096, Token budget=65.5M tokens2026.05—6.74——
MambaSeq. len=8,192, Token budget=65.5M tokens2026.05—6.422——
MambaSeq. len=16,384, Token budget=65.5M tokens2026.05—6.286——
MambaSeq. len=32,768, Token budget=131M2026.05—6.549——
TransformerSeq. len=1,024, Token budget=65.5M tokens2026.05—6.662——
TransformerSeq. len=2,048, Token budget=65.5M tokens2026.05—6.657——
TransformerSeq. len=4,096, Token budget=65.5M tokens2026.05—7.045——
TransformerSeq. len=8,192, Token budget=65.5M tokens2026.05—6.787——
TransformerSeq. len=16,384, Token budget=65.5M tokens2026.05—6.873——
TransformerSeq. len=32,768, Token budget=131M2026.05—7.259——