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Language modeling on PG-19 (val)

18.43Perplexity1x1-DenseFormer
14.403241.584168.76595.9459Feb 15, 2022Nov 4, 2022Jul 25, 2023Apr 12, 2024Dec 31, 2024Sep 19, 2025Jun 9, 2026

Evaluation results

MethodLinks
1x1-DenseFormerDepth=48, Dilation=1, DWA Period=1, Batch size=128, Training steps=48k2024.0218.43——
TransformerDepth=72, Batch size=128, Training steps=48k2024.0218.44——
TransformerDepth=48, Batch size=128, Training steps=48k2024.0218.94——
1x1-DenseFormerDepth=24, Dilation=1, DWA Period=1, Batch size=128, Training steps=48k2024.0219.6——
TransformerDepth=24, Batch size=128, Training steps=48k2024.0220.13——
MEGALODON#Param.=1.3B2024.0429.5——
MEGABYTETokenizer=Bytes, Vocab Size=256, Context Length=8192 (bytes)2023.0542.8——
MEGABYTE#Param.=1.3B2024.0442.8——
Compressive TransformerContext length=512+512+2x512, Number of layers=362022.0243.4——
Compressive TransformerTokenizer=SentencePiece, Vocab Size=32k, Context Length=512+512+2x512 (subwords)2023.0543.4——
Compressive Trans.#Param.=-2024.0443.4——
Transformer-XLContext length=512+1024, Number of layers=362022.0245.5——
TransformerXLTokenizer=SentencePiece, Vocab Size=32k, Context Length=512+1024 (subwords)2023.0545.5——
Perceiver ARContext length=2048, Number of layers=602022.0245.9——
Perceiver ARContext length=4096, Number of layers=602022.0245.9——
PerceiverARTokenizer=SentencePiece, Vocab Size=32k, Context Length=2048 (subwords)2023.0545.9——
Perceiver AR#Param.=975M2024.0445.9——
PCAF-semanticSeq. (T)=1024, Seeds=1, Params=303.27M, Throughput=0.89M, Batch Size=2562026.0650.94—26.13
PCAF-semanticSeq. (T)=2048, Seeds=1, Params=303.27M, Throughput=0.62M / 0.89M, Batch Size=32 / 2562026.0652.45—27.69
Dense TransformerSeq. (T)=2048, Seeds=1, Params=302.77M, Throughput=0.43M, Batch Size=322026.0653.84—29.39
Local TransformerSeq. (T)=2048, Seeds=1, Params=302.77M, Throughput=0.43M, Batch Size=322026.0654.54—29.47
Dense TransformerSeq. (T)=1024, Seeds=1, Params=301.85M, Throughput=0.44M, Batch Size=322026.0656.3—29.17
PCAF-contextSeq. (T)=2048, Seeds=1, Params=303.27M, Throughput=0.65M / 0.96M, Batch Size=32 / 2562026.0657—27.91
Local TransformerSeq. (T)=1024, Seeds=1, Params=301.85M, Throughput=0.44M, Batch Size=322026.0657.32—29.06
PCAF-contextSeq. (T)=1024, Seeds=1, Params=303.27M, Throughput=0.96M, Batch Size=2562026.0659.31—26.64
Local convSeq. (T)=2048, Seeds=1, Params=303.27M, Throughput=0.78M / 1.20M, Batch Size=32 / 2562026.0661.99—28.44
Local convSeq. (T)=1024, Seeds=1, Params=303.27M, Throughput=1.20M, Batch Size=2562026.0663.79—27.03
Transformer byte-levelTokenizer=Bytes, Vocab Size=256, Context Length=2048 (bytes)2023.0581.6——
PerceiverAR byte-levelTokenizer=Bytes, Vocab Size=256, Context Length=8192 (bytes)2023.05119.1——
BaselineModel Size=370M2025.12—3.03—
BaselineModel Size=1.3B2025.12—2.843—
Dense-MoEModel Size=370M2025.12—3.062—
FlashMHFModel Size=370M, Head Dimension (dh)=642025.12—3.046—
FlashMHFModel Size=370M, Head Dimension (dh)=1282025.12—3.014—
FlashMHFModel Size=370M, Head Dimension (dh)=2562025.12—3.029—
FlashMHFModel Size=1.3B, Head Dimension (dh)=642025.12—2.849—
FlashMHFModel Size=1.3B, Head Dimension (dh)=1282025.12—2.793—
FlashMHFModel Size=1.3B, Head Dimension (dh)=2562025.12—2.799—
KV-Foldpeak GPU=35.6 GB, total wall=166 s, T (Context Length)=128K, chain depth=511, Backbone=Llama-3.1-8B-Instruct2026.05—2.46—
MH-FFNModel Size=370M, Head Dimension (dh)=1282025.12—3.031—
PKVModel Size=370M, Head Dimension (dh)=1282025.12—3.334—
StreamingLLMpeak GPU=16.6 GB, total wall=22 s, T (Context Length)=128K, chain depth=511, Backbone=Llama-3.1-8B-Instruct2026.05—2.66—