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Commonsense Reasoning on BoolQ, PIQA, SIQA, HellaS., WinoG., ARC-e, ARC-c, OBQA (test)

88BoolQ AccuracyPaLM (540B)
71.536875.810980.08584.3591Feb 14, 2024Jul 7, 2024Nov 29, 2024Apr 22, 2025Sep 14, 2025Feb 5, 2026Jun 30, 2026

Evaluation results

MethodLinks
PaLM (540B)Model=PaLM (540B), PEFT Method=None2024.058882.3—83.481.176.65353.4—
Dense w/oPruning=-, RM Blocks=0(0.0%)2026.0686.3380.351.5980.4870.9681.9454.9548.869.42
BUDDYPruning=dynamic, RM Blocks=4(14.3%)2026.0684.577.2648.9373.266.6979.8851.1943.465.63
ShortGPTPruning=static, RM Blocks=4(14.3%)2026.0682.3977.4250.6172.9566.7779.2550.514465.49
Shortened LlamaPruning=static, RM Blocks=4(14.3%)2026.0678.7580.3648.2673.2265.1977.8648.6344.864.63
DoRAModel=Gemma2-9B, Rank=16, Mem.=60.3G, Time=21.3h2025.0778.1390.4882.1496.6288.2495.287.7191.288.72
DoMIX (+ Math LoRA)Model=Gemma2-9B, Rank=16, Mem.=51.8G, Time=14.3h2025.0777.6191.5182.496.9390.379688.7492.889.55
C3ABackbone=LLaMA3-8B, Params (%)=0.26, Mem=56.08G, block size=4096/322024.0776.991.482.196.786.989.679.486.185.9
SLEBPruning=static, RM Blocks=4(14.3%)2026.0676.2479.1148.5773.2562.977.950.3445.264.19
QuanTA (LLaMA2 13B)Model=LLaMA2-13B, PEFT Method=QuanTA (Ours), # Params (%)=0.029%2024.0575.886.981.294.48789.677.985.284.8
LoRA (with Joint Dataset)Model=Gemma2-9B, Rank=16, Mem.=51.8G, Time=14.3h2025.0775.7290.2181.4295.3189.1193.182.7688.286.98
LoFTModel=LLaMA3-8B, rank (r)=162025.0575.6388.8580.3595.6486.1191.1680.8986.485.63
MoCBackbone=LLaMA3-8B, % Params=0.43, Time (↓) (h)=6.5, GPU Mem. (↓) (GB)=56.72026.0675.589.58296.688.891.581.68886.7
MoCBackbone=Qwen2.5-14B, % Params=0.43, Time (↓) (h)=8.0, GPU Mem. (↓) (GB)=61.32026.0675.591.882.496.89196.690.296.490.1
LoRAModel=Gemma2-9B, Rank=16, Mem.=51.8G, Time=13.5h2025.0775.4489.7281.7895.5887.6992.8984.39087.17
DoRABackbone=LLaMA3-8B, Params (%)=0.71, Mem=63.37G, rank=322024.0775.388.982.294.9868979.884.985.3
FourierMoEModel=Gemma 7B, Trainable Parameters (%)=0.032026.0475.2691.0582.5595.8190.2195.4485.6289.688.19
LoRAModel=Gemma 7B, Trainable Parameters (%)=0.142026.0475.1788.7477.5895.2189.1192.9384.738886.43
AdaLoRABackbone=LLaMA-3 8B, Evaluation Protocol=Fine-tuning, Param=28.3M, Time=12.5h, Mem=58G2024.0675.186.476.775.483.390.479.18581.4
DoRABackbone=Qwen2.5-14B, % Params=0.64, Time (↓) (h)=14.3, GPU Mem. (↓) (GB)=94.72026.0675.190.18296.389.49588.29388.6
LoHaBackbone=LLaMA-3 8B, Evaluation Protocol=Fine-tuning, Param=28.3M, Time=25.5h, Mem=68G2024.067589.781.19583.391.280.585.885.2
DoRAModel=LLaMA3-8B, Rank=16, Mem.=66.5G, Time=14.3h2025.0774.9589.3480.395.5285.6490.6679.5285.885.22
FLORABackbone=LLaMA-3 8B, Evaluation Protocol=Fine-tuning, Param=28.4M, Time=8.2h, Mem=31G2024.0674.886.779.993.985.190.279.384.284.2
DoMIX (+ Math LoRA)Model=LLaMA3-8B, Rank=32, Mem.=54.6G, Time=9.2h2025.0774.7789.1279.6395.8486.3591.0880.7285.285.34
DoRA+ (LLaMA3 8B)Model=LLaMA3-8B, PEFT Method=DoRA+, # Params (%)=0.71%2024.0574.689.379.995.585.690.580.485.885.2
DoRAModel=LLaMA3-8B, Trainable Params (%)=0.71%2024.0274.689.379.995.585.690.580.485.885.2
DoRA*Backbone=LLaMA-3 8B, Evaluation Protocol=Fine-tuning, Param=57.4M, Time=14.8h, Mem=33G, Rank=larger rank2024.0674.689.379.995.585.690.580.485.885.2
MoSLORABackbone=LLaMA-3 8B, Evaluation Protocol=Fine-tuning, Param=28.4M, Time=8.2h, Mem=31G2024.0674.689.7819585.890.581.586.885.6
DoRA*Backbone=LLaMA3-8B, % Params=0.71, Time (↓) (h)=10.5, GPU Mem. (↓) (GB)=69.12026.0674.689.379.995.585.690.580.485.885.2
DoRAModel=LLaMA3-8B, rank (r)=162025.0574.5688.5280.0995.1786.7490.1979.7884.684.96
LoFTModel=LLaMA3-8B, rank (r)=42025.0574.5388.5280.0495.4585.3289.7378.9284.284.59
DoRA (LLaMA3 8B)Model=LLaMA3-8B, PEFT Method=DoRA, # Params (%)=0.35%2024.0574.588.880.395.584.790.179.187.285
DoRA†Model=LLaMA3-8B, Trainable Params (%)=0.35%, Configuration=rank halved2024.0274.588.880.395.584.790.179.187.285
DoRABackbone=LLaMA-3 8B, Evaluation Protocol=Fine-tuning, Param=29.1M, Time=14.5h, Mem=33G2024.0674.588.880.395.584.790.179.187.285
LoRAModel=LLaMA3-8B, rank (r)=162025.0574.4688.1481.3794.8185.0889.1880.728684.97
LLMBRACESBase Model=Llama3-8B, Rank (r)=32, Param.=4.2M, Param. (%)=0.05%, Supervised Fine-tuning=true2025.0374.489.1281.3795.5586.6692.9783.1988.886.51
QuanTA (LLaMA3 8B)Model=LLaMA3-8B, PEFT Method=QuanTA (Ours), # Params (%)=0.035%2024.0574.388.181.895.187.391.181.787.285.8
MoCBackbone=Mistralv3-7B, % Params=0.48, Time (↓) (h)=5.5, GPU Mem. (↓) (GB)=55.62026.0674.288.98195.687.988.979.587.885.5
Control*Backbone=LLaMA3-8B, % Params=0.42, Time (↓) (h)=4.4, GPU Mem. (↓) (GB)=54.02026.0674.187.880.795.58690.88087.885.3
DoMIX (+ Math LoRA)Model=LLaMA3-8B, Rank=16, Mem.=54.5G, Time=9.2h2025.0773.9488.3680.2595.8585.9591.0480.5585.885.22
LoRABackbone=LLaMA3-8B, Params (%)=0.70, Mem=51.18G, rank=322024.0773.888.280.49485.587.578.18483.9
LoFTModel=LLaMA3-8B, rank (r)=22025.0573.7687.1179.8494.7284.2989.9879.6184.684.24
DoRAModel=LLaMA3-8B, Rank=32, Mem.=66.6G, Time=14.3h2025.0773.7388.7480.9695.6387.9290.4577.8286.685.23
FourierMoEModel=LLaMA-2 7B, Trainable Parameters (%)=0.062026.0473.7384.681.2792.3386.8288.2477.2187.483.95
LLaMA38B LoRA + GASTModel=LLaMA38B, PEFT=LoRA + GAST2026.0373.687.48195.286.59079.88584.8
KaSAModel=LLaMA-2 7B, Trainable Parameters (%)=0.842026.0473.684.480.291.584.584.772.181.281.53
GOATModel=LLaMA-2 7B, Trainable Parameters (%)=0.962026.0473.683.9580.587.128587.7976.888782.73
MoLExBackbone=Qwen2.5-14B, % Params=0.64, Time (↓) (h)=20.3, GPU Mem. (↓) (GB)=124.82026.0673.590.581.995.588.294.485.892.287.8
DoRAModel=Gemma 7B, Trainable Parameters (%)=0.142026.0473.4990.4479.1995.039093.7984.7388.6786.92
MELoRAModel=Gemma 7B, Trainable Parameters (%)=0.142026.0473.4989.579.9994.689.993.1884.389.486.79
C3ABackbone=LLaMA2-7B, Params (%)=0.35, Mem=44.89G, block size=4096/322024.0773.483.482.188.384.986.666.782.581
LoRABackbone=Qwen2.5-14B, % Params=0.63, Time (↓) (h)=9.4, GPU Mem. (↓) (GB)=62.12026.0673.490.482.29688.694.786.190.687.7
LoRA (LLaMA2 13B)Model=LLaMA2-13B, PEFT Method=LoRA, # Params (%)=0.67%2024.0573.385.680.891.685.584.273.783.382.3
RoAd2Model=13B, #Paras.=0.03%2024.0873.386.48294.486.187.474.18783.8
LoRABase Model=Llama3-8B, Rank (r)=16, Param.=6.8M, Param. (%)=0.08%, Supervised Fine-tuning=true2025.0373.2788.2578.9294.9687.2190.9577.9986.284.72
QuanTA (LLaMA 13B)Model=LLaMA-13B, PEFT Method=QuanTA (Ours), # Params (%)=0.029%2024.0573.285.482.193.485.187.873.384.483.1
RoAd4Model=13B, #Paras.=0.07%2024.0873.285.582.494.586.386.874.68683.7
LLaMA13B LoRA + GASTModel=LLaMA13B, PEFT=LoRA + GAST2026.0373.284.581.990.885.584.671.582.981.8
LoRABackbone=LLaMA-3.1-8B, fine-tuning=true, r=8, #Params=14.2M, Memory (GB)=54.12025.0573.1885.3174.3686.5774.1990.9580.298481.11
MoLoRAModel=LLaMA-2 7B, Trainable Parameters (%)=0.962026.0473.1583.6880.0974.5785.9587.3372.5386.280.43
ChatGPT2024.0773.185.468.578.566.189.879.974.877
ChatGPTModel=ChatGPT, PEFT Method=None2024.0573.185.468.578.566.189.879.974.877
ChatGPTModel=ChatGPT2024.0273.185.468.578.566.189.879.974.877
GPT3.5Model=GPT3.52024.0873.185.468.578.566.189.879.974.877
ChatGPTPEFT=N/A, Params=N/A2024.0773.185.468.578.566.189.879.974.877
ChatGPTModel=ChatGPT2024.0773.185.468.578.566.189.879.974.877
ChatGPTModel=ChatGPT, PEFT=-2026.0373.185.468.578.566.189.879.974.877
ChatGPTModel=ChatGPT2026.0473.185.468.578.566.189.879.974.877.01
DoRABackbone=LLaMA-3.1-8B, fine-tuning=true, r=8, #Params=14.9M, Memory (GB)=65.62025.0573.0985.9675.0890.4875.5390.7481.484.482.09
FT (LLaMA2 7B)Model=LLaMA2-7B, PEFT Method=FT, # Params (%)=100%2024.0572.98379.892.48386.67280.181.2
Adam-SPDPEFT=LoRA, LLM=LLaMA-13B, lambda=1.22024.1172.985.680.79283.785.671.685.682.2
LilyBackbone=LLaMA3-8B, PEFT=Lily, Params=1.2M2024.0772.985.677.892.783.389.777.682.882.8
LLaMA13B Series + ISTModel=LLaMA13B, PEFT=Series + IST2026.0372.982.281.487.98482.769.181.180.2
LLaMA13B Series + GASTModel=LLaMA13B, PEFT=Series + GAST2026.0372.98282.889.585.884.270.68281.2
LLaMA13B Parallel + GASTModel=LLaMA13B, PEFT=Parallel + GAST2026.0372.886.180.69185.88672.18482.3
ControlBackbone=Qwen2.5-14B, % Params=0.43, Time (↓) (h)=6.5, GPU Mem. (↓) (GB)=58.72026.0672.888.881.394.687.594.486.991.287.2
HydraLoRAModel=LLaMA-2 7B, Trainable Parameters (%)=0.842026.0472.7884.0679.6880.3486.6687.1272.358681.12
BUDDYPruning=dynamic, RM Blocks=8(28.6%)2026.0672.7872.5246.4259.9260.7768.940.0236.457.22
LLMBRACESBase Model=Llama3-8B, Rank (r)=16, Param.=2.1M, Param. (%)=0.03%, Supervised Fine-tuning=true2025.0372.7588.5281.1795.2786.4292.5980.9787.885.69
LoRA-DashModel=LLaMA3-8B, Rank=16, Mem.=74.8G, Time=13.4h2025.0772.7287.2179.1794.6587.3789.5276.968684.2
LLaMA38B LoRA + ISTModel=LLaMA38B, PEFT=LoRA + IST2026.0372.788.380.594.784.489.879.986.684.6
LLaMA13B Parallel + ISTModel=LLaMA13B, PEFT=Parallel + IST2026.0372.68679.289.183.584.870.682.881.1
TopLoRAModel=Llama-3-8B, Rank (r)=16, Params (%)=0.13692025.0972.688.380.0994.3186.4291.9281.1485.285
Parallel Adapters (LLaMA 13B)Model=LLaMA-13B, PEFT Method=Parallel*, # Params (%)=2.89%2024.0572.584.879.892.184.784.271.282.481.5
DoRA (LLaMA 13B)Model=LLaMA-13B, PEFT Method=DoRA, # Params (%)=0.35%2024.0572.585.379.990.182.982.769.783.680.8
ParallelModel=LLaMA-13B, Trainable Params (%)=2.89%2024.0272.584.979.892.184.784.271.282.481.4
DoRA†Model=LLaMA-13B, Trainable Params (%)=0.35%, Configuration=rank halved2024.0272.585.379.990.182.982.769.783.680.8
AdapterPModel=13B, #Paras.=2.89%2024.0872.584.979.892.184.784.271.282.481.5
LLaMA13B ParallelModel=LLaMA13B, PEFT=Parallel2026.0372.584.979.892.184.784.271.282.481.4
DoRA+ (LLaMA 13B)Model=LLaMA-13B, PEFT Method=DoRA+, # Params (%)=0.68%2024.0572.484.981.592.484.284.269.682.881.5
QuanTA (LLaMA2 7B)Model=LLaMA2-7B, PEFT Method=QuanTA (Ours), # Params (%)=0.041%2024.0572.483.879.792.583.985.372.582.681.6
DoRAModel=LLaMA-13B, Trainable Params (%)=0.68%2024.0272.484.981.592.484.284.269.682.881.5
DORAModel=13B, #Paras.=0.68%2024.0872.484.981.592.484.284.269.682.881.5
LoRA-XSBackbone=LLaMA-3.1-8B, fine-tuning=true, r=298, #Params=14.2M, Memory (GB)=56.22025.0572.3586.5175.1891.7374.9890.7479.528481.88
DoRABackbone=LLaMA2-7B, Params (%)=0.84, Mem=55.24G, rank=322024.0772.384.278.788.58480.769.183.780.2
LoRABackbone=LLaMA-3 8B, Evaluation Protocol=Fine-tuning, Param=28.3M, Time=8.0h, Mem=29G2024.0672.386.779.393.584.887.775.782.882.8
Control*Backbone=LLaMA2-7B, % Params=0.50, Time (↓) (h)=4.2, GPU Mem. (↓) (GB)=42.62026.0672.382.579.289.183.18368.57979.6
VeRABackbone=LLaMA3-8B, Params (%)=0.04, Mem=66.03G, rank=163842024.0772.287.58094.383.984.575.682.482.5
RoAd1Model=13B, #Paras.=0.02%2024.0872.285.181.294.184.486.673.786.683
PSOFTBackbone=LLaMA-3.1-8B, fine-tuning=true, r=424, #Params=14.5M, Memory (GB)=58.42025.0572.1786.5175.7991.2875.6191.4681.488682.54