Mathematical Reasoning on AMC (avg@32)
73.45Avg@32RL
Evaluation Results
| Method | Links | |
|---|---|---|
| RLBitwidth=BF162026.02 | 73.45 | |
| QuRL w/ UAQBitwidth=INT82026.02 | 71.34 | |
| FlashRLBitwidth=INT82026.02 | 70.55 | |
| QuRL w/o UAQBitwidth=INT82026.02 | 70.48 | |
| RLBitwidth=INT82026.02 | 68.75 | |
| BaseBitwidth=BF162026.02 | 62.58 | |
| Fully SupervisedTraining Paradigm=Supervised, Labeled Samples Count=45K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 62 | |
| TRAPOTraining Paradigm=Semi-supervised, Labeled Samples Count=4K, Unlabeled Samples Count=12K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 60 | |
| TRAPOTraining Paradigm=Semi-supervised, Labeled Samples Count=1K, Unlabeled Samples Count=3K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 58.7 | |
| Fully SupervisedTraining Paradigm=Supervised, Labeled Samples Count=4K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 57.9 | |
| Self-certaintyTraining Paradigm=Semi-supervised, Labeled Samples Count=1K, Unlabeled Samples Count=3K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 55.6 | |
| TTRLTraining Paradigm=Semi-supervised, Labeled Samples Count=1K, Unlabeled Samples Count=3K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 55.3 | |
| Sentence-level EntropyTraining Paradigm=Semi-supervised, Labeled Samples Count=1K, Unlabeled Samples Count=3K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 54.9 | |
| Token-level EntropyTraining Paradigm=Semi-supervised, Labeled Samples Count=1K, Unlabeled Samples Count=3K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 53.4 | |
| Fully SupervisedTraining Paradigm=Supervised, Labeled Samples Count=1K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 52.6 | |
| Self-certaintyTraining Paradigm=Unsupervised, Unlabeled Samples Count=45K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 51.7 | |
| TTRLTraining Paradigm=Unsupervised, Unlabeled Samples Count=45K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 51.5 | |
| Token-level EntropyTraining Paradigm=Unsupervised, Unlabeled Samples Count=45K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 50.3 | |
| Qwen-InstructTraining Paradigm=Original, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 48.5 | |
| Sentence-level EntropyTraining Paradigm=Unsupervised, Unlabeled Samples Count=45K, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 42.1 | |
| Qwen-BaseTraining Paradigm=Original, Backbone Model=Qwen2.5-Math-7B, Sampling Temperature (T=0.6)=0.62025.12 | 31.3 |