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Language Modeling on WikiText-103

4.59PPLESPACE
3.95368.249312.54516.8407Sep 9, 2020Aug 19, 2021Jul 29, 2022Jul 8, 2023Jun 16, 2024May 26, 2025May 6, 2026

Evaluation results

MethodLinks
ESPACEBackbone=Llama2-13B, Compression Ratio=20%2024.104.59—
BaselineBackbone=Llama2-13B, Compression Ratio=0%2024.104.61—
BaselineBackbone=Llama2-7B, Compression Ratio=0%2024.105.06—
RetrainedBackbone=Llama2-7B, Compression Ratio=0%2024.105.06—
ESPACEBackbone=Llama2-7B, Compression Ratio=21%2024.105.07—
ESPACEBackbone=Llama2-13B, Compression Ratio=50%2024.105.13—
ESPACEBackbone=Llama2-7B, Compression Ratio=50%2024.105.67—
BaselineBackbone=Nemotron4-15B, Compression Ratio=0%2024.106.06—
ESPACEBackbone=Nemotron4-15B, Compression Ratio=25%2024.106.28—
ESPACEBackbone=GPT3-22B, Compression Ratio=40%2024.106.29—
BaselineBackbone=GPT3-22B, Compression Ratio=0%2024.106.55—
ESPACEBackbone=GPT3-22B, Compression Ratio=55%2024.106.73—
ESPACEBackbone=Nemotron4-15B, Compression Ratio=50%2024.106.93—
ESPACEBackbone=GPT3-8B, Compression Ratio=21%2024.107—
BaselineBackbone=GPT3-8B, Compression Ratio=0%2024.107.38—
ESPACEBackbone=GPT3-8B, Compression Ratio=50%2024.107.66—
ADEPTArchitecture=Llama 7B, Reduction=10%2026.018.1—
ADEPTArchitecture=Llama 7B, Reduction=20%2026.018.4—
Base ModelArchitecture=Llama 7B, Reduction=None2026.018.6—
MoA#total params=262M, Nheads=8, MACs=2.9G, Mem (floats)=9.9M2023.129.5—
ESPACEBackbone=GPT3-1.3B, Compression Ratio=20%2024.109.53—
SwitchHead#total params=262M, Nheads=2, MACs=2.0G, Mem (floats)=2.9M2023.129.55—
Transformer#total params=262M, Nheads=16, MACs=5.4G, Mem (floats)=21.0M2023.129.66—
MoA#total params=262M, Nheads=12, MACs=4.1G, Mem (floats)=14.7M2023.129.68—
MoA#total params=262M, Nheads=4, MACs=1.7G, Mem (floats)=5.1M2023.129.69—
MoA#total params=262M, Nheads=2, MACs=1.1G, Mem (floats)=2.7M2023.129.87—
BaselineBackbone=GPT3-1.3B, Compression Ratio=0%2024.109.94—
DeeBERTArchitecture=Llama 7B, Reduction=10%2026.0110.1—
PABEEArchitecture=Llama 7B, Reduction=10%2026.0110.2—
Hybrid H3Number of Parameters=2.7B2022.1210.6—
ESPACEBackbone=GPT3-1.3B, Compression Ratio=47%2024.1011.07—
GPT-NeoNumber of Parameters=2.7B2022.1211.5—
DeeBERTArchitecture=Llama 7B, Reduction=20%2026.0112—
PABEEArchitecture=Llama 7B, Reduction=20%2026.0112.1—
SwitchHead#total params=47M, Nheads=2, MACs=170.4M, Mem (floats)=0.8M2023.1212.27—
Transformer#total params=47M, Nheads=10, MACs=453.4M, Mem (floats)=3.5M2023.1212.31—
Hybrid H3Number of Parameters=1.3B2022.1212.5—
MoA#total params=47M, Nheads=4, MACs=223.5M, Mem (floats)=1.3M2023.1212.6—
MoA#total params=47M, Nheads=6, MACs=306.8M, Mem (floats)=1.9M2023.1212.64—
kNN-LMAdaptation=Memory, Test-time Learning=✓, + Inference Cost Compute=O(N dx), + Inference Cost Memory=307 GB, Learn Cost GPU hrs=16 hrs, Backbone=GPT2-XL (1.5B)2026.0512.7—
MoA#total params=47M, Nheads=8, MACs=390.2M, Mem (floats)=2.6M2023.1212.77—
MoA#total params=47M, Nheads=2, MACs=140.1M, Mem (floats)=0.7M2023.1212.84—
FAAST w/ readout seen WikiText103Adaptation=Fast weights, Test-time Learning=✓, + Inference Cost Compute=O(Ld2x), + Inference Cost Memory=(-99.9%), Learn Cost GPU hrs=(-93.3%), Backbone=GPT2-XL (1.5B)2026.0513.23—
GPT-NeoNumber of Parameters=1.3B2022.1213.3—
LoRa w/ same number of paramsAdaptation=Backprop, Test-time Learning=✗, Learn Cost GPU hrs=3 hrs, Backbone=GPT2-XL (1.5B)2026.0513.57—
Linear Projection (upper bound)Adaptation=Backprop, Test-time Learning=✗, + Inference Cost Compute=O(Ld2x), + Inference Cost Memory=112 MB, Learn Cost GPU hrs=3 hrs, Backbone=GPT2-XL (1.5B)2026.0513.6—
ADEPTArchitecture=GPT2 XL, Reduction=10%2026.0114.7—
FAASTAdaptation=Fast weights, Test-time Learning=✓, + Inference Cost Compute=O(Ld2x), + Inference Cost Memory=112 MB, Learn Cost GPU hrs=0.2 hrs, Backbone=GPT2-XL (1.5B)2026.0515.35—
PABEEArchitecture=GPT2 XL, Reduction=10%2026.0115.4—
Hybrid H3Number of Parameters=355M2022.1216.9—
GPT-2 XLNumber of Parameters=1.5B2022.1217—
ADEPTArchitecture=GPT2 XL, Reduction=20%2026.0117—
Pre-proj + skipModel=Pythia 410M, Params=88.1M, Evaluation protocol=Frozen probe2026.0417—
Regularized BNNorm Position=Post-Norm2022.1017.1—
Regularized BNNorm Position=Pre-Norm2022.1017.1—
BatchNormNorm Position=Post-Norm2022.1017.2—
DeeBERTArchitecture=GPT2 XL, Reduction=10%2026.0117.3—
GPT2-XL (zero-shot, lower bound)Adaptation=No adapt, Test-time Learning=✗, Backbone=GPT2-XL (1.5B)2026.0517.41—
Base ModelArchitecture=GPT2 XL, Reduction=None2026.0117.5—
DeeBERTArchitecture=GPT2 XL, Reduction=20%2026.0117.5—
KERPLE-logtrain length=2048, Extrp. length=30722022.0517.56—
PABEEArchitecture=GPT2 XL, Reduction=20%2026.0117.6—
ALiBitrain length=2048, Extrp. length=30722022.0517.64—
LoRA (r=640)Model=Pythia 410M, Params=94.4M, Evaluation protocol=Frozen probe2026.0417.7—
BatchNormNorm Position=Pre-Norm2022.1017.8—
ECPModel Size=172.12 million2024.1217.82—
KERPLE-logtrain length=2048, Extrp. length=20482022.0517.84—
ALiBitrain length=2048, Extrp. length=20482022.0517.91—
Sandwich Transformer LargeArchitecture=(s)x6 (sf)x12 (f)x6, Latency on A100 (ms)=18.92020.0918.2—
KERPLE-logtrain length=512, Extrp. length=30722022.0518.24—
KERPLE-logtrain length=512, Extrp. length=20482022.0518.29—
Full Attention2025.1118.3—
KERPLE-logtrain length=512, Extrp. length=15362022.0518.37—
Transformer-XL LargeArchitecture=(sf)x18, Latency on A100 (ms)=18.92020.0918.4—
PAR Transformer LargeArchitecture=(sfff)x7 (f)x8, Latency on A100 (ms)=13.42020.0918.4—
ALiBitrain length=512, Extrp. length=30722022.0518.4—
π-Attention2025.1118.4—
SATFORMEREvaluation Protocol=Zero-shot, Number of Parameters=1.3B, Training Tokens=30B2026.0518.47—
ALiBitrain length=512, Extrp. length=20482022.0518.48—
ALiBitrain length=512, Extrp. length=15362022.0518.5—
RESFORMEREvaluation Protocol=Zero-shot, Number of Parameters=1.3B, Training Tokens=30B2026.0518.62—
KERPLE-logtrain length=512, Extrp. length=10242022.0518.76—
ALiBitrain length=512, Extrp. length=10242022.0518.81—
TRANSFORMEREvaluation Protocol=Zero-shot, Number of Parameters=1.3B, Training Tokens=30B2026.0518.83—
Pre-proj + LoRAModel=Pythia 410M, Params=72.4M, Evaluation protocol=Frozen probe2026.0419.2—
Longformer2025.1119.5—
KERPLE-logtrain length=512, Extrp. length=5122022.0519.69—
ALiBitrain length=512, Extrp. length=5122022.0519.73—
BigBird2025.1119.8—
ECPModel Size=87 million2024.1220—
32-bit AdamWModel=GPT2-Medium, Opt.State Mem Saved=reference, Task Setting=Fine-tuning2026.0420.02—
RingAttention2025.1120.1—
STQuantModel=GPT2-Medium, Opt.State Mem Saved=82.5%, Task Setting=Fine-tuning2026.0420.1—
GPT-2 1.5Bzero-shot=true, parameters=1.5B2023.0520.13—
Cluster-Formernumber of clusters=5122020.0920.2—
DenseModel Size=Small, Model=GPT2-S, Compression Factor (CF)=1.85x2025.1220.2—
8-bit AdamW(bnb)Model=GPT2-Medium, Opt.State Mem Saved=75.0%, Task Setting=Fine-tuning2026.0420.22—
Cluster-Formernumber of clusters=2562020.0920.3—
Sparse Attention2020.0920.5—
Cluster-Formernumber of clusters=642020.0920.5—