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Mathematical Reasoning on NUMGLUE

76.4AccuracyS2L
14.10430.27746.4562.623Mar 12, 2024Jul 26, 2024Dec 9, 2024Apr 24, 2025Sep 7, 2025Jan 21, 2026Jun 6, 2026

Evaluation results

MethodLinks
S2LTarget Model=Phi-3-Mini (3.8B), Fine-tuning Data=50%, Evaluation Protocol=Zero-shot2024.0376.4—
Full TrainingTarget Model=Phi-3-Mini (3.8B), Fine-tuning Data=100%, Evaluation Protocol=Zero-shot2024.0375.3—
UniPROTSelection Protocol=source-wise2026.0468.8—
GREATSSelection Protocol=source-wise2026.0467.46—
UniPROTSelection Protocol=batch-wise2026.0466.02—
S2LTarget Model=Llama-2-7B, Fine-tuning Data=50%, Evaluation Protocol=Zero-shot2024.0365—
GREATSSelection Protocol=batch-wise2026.0464.4—
COLMSelection Protocol=source-wise2026.0464.11—
GradNormSelection Protocol=batch-wise2026.0464.1—
COLMSelection Protocol=batch-wise2026.0464.1—
GradNormSelection Protocol=source-wise2026.0464.01—
FTBase Model=PHI-32026.0462.57—
IWDBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0661.15—
GradNormBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0660.84—
Full TrainingTarget Model=Llama-2-7B, Fine-tuning Data=262K, Evaluation Protocol=Zero-shot2024.0360.5—
SBERTSelection Protocol=source-wise2026.0460.26—
PartitionSelBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0659.98—
COLMBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0659.88—
IDBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0659.6—
MaxLossSelection Protocol=batch-wise2026.0458.9—
GREATSBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0658.73—
MaxLossSelection Protocol=source-wise2026.0457.8—
SBERTSelection Protocol=batch-wise2026.0457.6—
RandomBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0657.04—
LoRABackbone=Llama 3-8B2026.0556.9—
ChunkFTBackbone=Llama 3-8B2026.0556.4—
APOLLOBackbone=Llama 3-8B2026.0555.6—
AdamBackbone=Llama 3-8B2026.0555.4—
HiFTBackbone=Llama 3-8B2026.0554.5—
GREATSSelection Strategy=batch-wise2026.0454.1—
BAdamBackbone=Llama 3-8B2026.0553—
PretrainedTarget Model=Phi-3-Mini (3.8B), Evaluation Protocol=Zero-shot2024.0352.1—
SBERTSelection Strategy=source-wise2026.0452.01—
UniPROTSelection Strategy=batch-wise2026.0451.7—
UniPROTSelection Strategy=source-wise2026.0451.61—
GradNormSelection Strategy=source-wise2026.0451.3—
GREATSSelection Strategy=source-wise2026.0451.2—
COLMSelection Strategy=source-wise2026.0451.05—
COLMSelection Strategy=batch-wise2026.0450.8—
GradNormSelection Strategy=batch-wise2026.0450.6—
SBERTSelection Strategy=batch-wise2026.0448.4—
FT2026.0447.88—
PartitionSelBase Model=Llama-3.2-3B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0643.95—
PartitionSelBackbone=Llama-3.1-8B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0643.95—
IDBase Model=Llama-3.2-3B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0641.27—
IDBackbone=Llama-3.1-8B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0641.27—
COLMBase Model=Llama-3.2-3B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0638—
COLMBackbone=Llama-3.1-8B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0638—
LOMOBackbone=Llama 3-8B2026.0537.1—
GaloreBackbone=Llama 3-8B2026.0536.9—
GradNormBase Model=Llama-3.2-3B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0636.85—
GradNormBackbone=Llama-3.1-8B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0636.85—
VanillaBackbone=Llama 3-8B2026.0534.5—
PretrainedTarget Model=Llama-2-7B, Evaluation Protocol=Zero-shot2024.0316.5—
Full-data Fine-tuningBackbone=LLAMA-2-7B, Coreset Method=Full-data, Coreset Fraction=100%2025.10—59.34
LESSBackbone=LLAMA-2-7B, Coreset Method=LESS, Coreset Fraction=50%2025.10—60.3
Pretrained (no Fine-tuning)Backbone=LLAMA-2-7B, Coreset Method=Pretrained2025.10—16.5
RandomBackbone=LLAMA-2-7B, Coreset Method=Random, Coreset Fraction=50%2025.10—55.12
S2LBackbone=LLAMA-2-7B, Coreset Method=S2L, Coreset Fraction=50%2025.10—60.1
TAGCOSBackbone=LLAMA-2-7B, Coreset Method=TAGCOS, Coreset Fraction=50%2025.10—58.31
TRIMBackbone=LLAMA-2-7B, Coreset Method=TRIM, Coreset Fraction=50%2025.10—60.52