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Language Modeling on PTB (val)

20.26PerplexityMDM-Prime-v2
16.642441.061265.4889.8988Apr 4, 2018Aug 12, 2019Dec 20, 2020Apr 29, 2022Sep 7, 2023Jan 14, 2025May 25, 2026

Evaluation results

MethodLinks
MDM-Prime-v2zero-shot=true, ℓ=16, variant=*2026.0320.26
MDM-Prime-v2zero-shot=true, ℓ=162026.0324.5
BERT-Large-CAS2019.0436.14
BERT-CAS2019.0439.97
AWD-LSTM-MoSVocabulary=BERTVocab2019.0443.47
MDM-Primezero-shot=true, ℓ=6, variant=*2026.0344.49
GPT-CAS2019.0446.24
AWD-LSTM-DOC (fin) x 5#Param=114M, fine-tuning=true, ensemble=true, ensemble_count=52018.0848.63
AWD-LSTM-DOC x 5#Param=114M, ensemble=true, ensemble_count=52018.0849.99
AWD-LSTM-MoSVocabulary=GPTVocab2019.0450.2
Tensor-Transformercores=1, normalization=PowerNorm2020.0351.6
MDM-Primezero-shot=true, ℓ=82026.0353.77
MDM-Primezero-shot=true, ℓ=42026.0353.98
AWD-LSTM-DOC (fin)#Param=23M, fine-tuning=true2018.0854.12
Tensor-Transformercores=22020.0354.3
AWD-LSTM-DOC#Param=23M2018.0854.62
Tensor-Transformercores=12020.0355.4
AWD-LSTM-MoS#Param=22M2018.0856.54
Transformer-XLsize=base2020.0356.7
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=0.5, Dropout rate multiplier (λ)=x0.82018.0557.1
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=1, Dropout rate multiplier (λ)=x0.82018.0557.1
AMCSoftmax Temperature (Temp)=1, Alpha (α)=1, Dropout rate multiplier (λ)=x0.82018.0557.3
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=0.5, Dropout rate multiplier (λ)=x0.92018.0557.3
DETSoftmax Temperature (Temp)=opt2018.0557.5
AMCSoftmax Temperature (Temp)=1, Alpha (α)=1, Dropout rate multiplier (λ)=x0.92018.0557.5
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=0, Dropout rate multiplier (λ)=x0.82018.0557.5
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=1, Dropout rate multiplier (λ)=x0.92018.0557.5
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=0.5, Dropout rate multiplier (λ)=x1.02018.0557.8
AMCSoftmax Temperature (Temp)=1, Alpha (α)=0.5, Dropout rate multiplier (λ)=x0.92018.0557.9
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=0, Dropout rate multiplier (λ)=x0.92018.0557.9
AMCSoftmax Temperature (Temp)=1, Alpha (α)=0.5, Dropout rate multiplier (λ)=x1.02018.0558
Tensor-Transformercores=1, normalization=LayerNorm, re-implemented=true2020.0358
AMCSoftmax Temperature (Temp)=1, Alpha (α)=0.5, Dropout rate multiplier (λ)=x0.82018.0558.1
LSTM + 15 softmax expertsParams (M)=22, Search Method=manual2018.0658.1
DARTS (second order)Params (M)=23, Search Cost (GPU days)=1, #ops=4, Search Method=gradient-based2018.0658.1
AWD-LSTM-MoS2020.0358.1
DARTS 2ndEvaluation Epochs=8000, Parameters (M)=23, Search Time (GPU Days)=12021.0658.1
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=0, Dropout rate multiplier (λ)=x1.02018.0558.3
AMCSoftmax Temperature (Temp)=opt, Alpha (α)=1, Dropout rate multiplier (λ)=x1.02018.0558.4
AMCSoftmax Temperature (Temp)=1, Alpha (α)=1, Dropout rate multiplier (λ)=x1.02018.0558.5
AWD-LSTM + Fraternal Dropout#Param=24M2018.0858.9
Adaptive Input2020.0359.1
AMCSoftmax Temperature (Temp)=1, Alpha (α)=0, Dropout rate multiplier (λ)=x0.82018.0559.6
AMCSoftmax Temperature (Temp)=1, Alpha (α)=0, Dropout rate multiplier (λ)=x0.92018.0559.7
AMCSoftmax Temperature (Temp)=1, Alpha (α)=0, Dropout rate multiplier (λ)=x1.02018.0559.7
Tensor-Transformercores=1, normalization=PowerNorm-V2020.0359.7
GDASEvaluation Epochs=2000, Parameters (M)=23, Search Time (GPU Days)=0.42021.0659.8
AWD-LSTM#Param=24M2018.0860
AWD-LSTM2022.0160
DARTS (first order)Params (M)=23, Search Cost (GPU days)=0.5, #ops=4, Search Method=gradient-based2018.0660.2
DARTS 1stEvaluation Epochs=8000, Parameters (M)=23, Search Time (GPU Days)=0.52021.0660.2
LSTMParams (M)=24, Search Method=manual2018.0660.7
ENAS (Pham et al., 2018b)+Params (M)=24, Search Cost (GPU days)=0.5, #ops=4, Search Method=RL2018.0660.8
ENAS++Evaluation Epochs=8000, Parameters (M)=24, Search Time (GPU Days)=0.5, Note=Reevaluated by Liu et al. 20192021.0660.8
LSTM with skip connections#Param=24M2018.0860.9
DETSoftmax Temperature (Temp)=12018.0560.9
LSTM + skip connectionsParams (M)=24, Search Method=manual2018.0660.9
fp32Precision Format=FP32, Model Architecture=LSTM2018.0461.31
HBFPMantissa Bits=12, Weight Storage Bits=16, Tile Size=24, Arithmetic Precision=12-bit, Model Architecture=LSTM2018.0461.35
Random search baseline+Params (M)=23, Search Cost (GPU days)=2, #ops=4, Search Method=random2018.0661.8
Random searchEvaluation Epochs=8000, Parameters (M)=23, Search Time (GPU Days)=22021.0661.8
HBFPMantissa Bits=8, Weight Storage Bits=16, Tile Size=24, Arithmetic Precision=8-bit, Model Architecture=LSTM2018.0461.86
MDM-Primezero-shot=true, ℓ=62026.0362.62
Variational RHN + WT + IOG#Param=29M2018.0867
Variational RHN + WT#Param=23M2018.0867.9
Variational RHNParams (M)=23, Search Method=manual2018.0667.9
ENAS (Pham et al., 2018b)*Params (M)=24, Search Cost (GPU days)=0.5, #ops=4, Search Method=RL2018.0668.3
Variational RHN#Param=32M2018.0871.2
Tensor-Transformercores=1, normalization=BatchNorm2020.0371.7
BERT2019.0472.99
MDM-Primezero-shot=true, ℓ=22026.0374.81
Tied-LSTM2020.0375.7
Variational LSTM (large)#Param=66M2018.0877.9
GPT2019.0479.44
ARParam=0.1B, Evaluation Protocol=Zero-shot2026.0581.07
Variational LSTM (medium)#Param=20M2018.0881.9
AR TransformerTraining steps=250K, Training Dataset=OWT, Zero-shot=true2025.0682
ARMzero-shot=true2026.0382.05
LSTM (large)#Param=66M2018.0882.2
LSTM (medium)#Param=20M2018.0886.2
MDMzero-shot=true, variant=*2026.0387.29
DCDMParam=0.1B, Training Tokens=128B, Evaluation Protocol=Zero-shot2026.0587.82
Duozero-shot=true2026.0389.35
EDLM-coARzero-shot=true2026.0389.73
LoopMDMS (inference-time loop count)=12, Zero-shot protocol=true, Model parameters=170M2026.0590.2
MDLMParam=0.1B, Training Tokens=256B, Evaluation Protocol=Zero-shot2026.0590.96
EDLM-NCEzero-shot=true2026.0393.21
MDMzero-shot=true2026.0395.26
BD3-LMTraining steps=250K, Training Dataset=OWT, Zero-shot=true, L'=162025.0695.87
BD3-LMzero-shot=true2026.0396.81
BDLMParam=0.1B, Training Tokens=256B, Evaluation Protocol=Zero-shot2026.0596.81
Eso-LMsTraining steps=250K, Training Dataset=OWT, Zero-shot=true, alpha_0=0.1252025.0697.46
SEDD AbsorbTraining steps=250K, Training Dataset=OWT, Zero-shot=true2025.0699.59
SEDDzero-shot=true2026.03100.09
MDLMTraining steps=250K, Training Dataset=OWT, Zero-shot=true2025.06100.17
LoopMDMS (inference-time loop count)=6, Zero-shot protocol=true, Model parameters=170M2026.05100.2
ARMzero-shot=true, variant=*2026.03103.25
Eso-LMsTraining steps=250K, Training Dataset=OWT, Zero-shot=true, alpha_0=0.252025.06105.19
MDMZero-shot protocol=true, Model parameters=170M2026.05108.5
Eso-LMsTraining steps=250K, Training Dataset=OWT, Zero-shot=true, alpha_0=0.52025.06110.7