2reb commited on
Upload GameTheory-Solver QLoRA adapter with evaluation results
Browse files- .gitattributes +1 -0
- README.md +215 -0
- adapter_config.json +46 -0
- adapter_model.safetensors +3 -0
- chat_template.jinja +54 -0
- tokenizer.json +3 -0
- tokenizer_config.json +29 -0
- training_args.bin +3 -0
- training_stats.json +16 -0
.gitattributes
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*.zip filter=lfs diff=lfs merge=lfs -text
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*.zst filter=lfs diff=lfs merge=lfs -text
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*tfevents* filter=lfs diff=lfs merge=lfs -text
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*.zip filter=lfs diff=lfs merge=lfs -text
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*.zst filter=lfs diff=lfs merge=lfs -text
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*tfevents* filter=lfs diff=lfs merge=lfs -text
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tokenizer.json filter=lfs diff=lfs merge=lfs -text
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README.md
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@@ -0,0 +1,215 @@
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| 1 |
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---
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| 2 |
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base_model: Qwen/Qwen2.5-7B-Instruct
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library_name: peft
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license: apache-2.0
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pipeline_tag: text-generation
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tags:
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- game-theory
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- math
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- reasoning
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- lora
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- qlora
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- sft
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- qwen2
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- transformers
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- trl
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- 4-bit
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- bitsandbytes
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datasets:
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- 2reb/GameTheory-Bench
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model-index:
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- name: GameTheory-Solver
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results:
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- task:
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type: text-generation
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name: Game Theory Problem Solving
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dataset:
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name: GameTheory-Bench
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type: 2reb/GameTheory-Bench
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metrics:
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- name: Accuracy
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type: accuracy
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value: 80.0
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verified: false
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---
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# GameTheory-Solver
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A QLoRA fine-tuned adapter for **Qwen/Qwen2.5-7B-Instruct** specialized in solving game theory problems with step-by-step mathematical reasoning.
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## Model Description
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+
GameTheory-Solver is a LoRA adapter trained on the [GameTheory-Bench](https://huggingface.co/datasets/2reb/GameTheory-Bench) dataset, which contains 2,913 diverse game theory problems spanning 10 categories. The model generates detailed, step-by-step solutions with mathematical proofs and clear final answers.
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### Capabilities
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- **Nash Equilibrium computation** (pure and mixed strategies) for 2x2, 3x3, 3x4, and 4x4 games
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- **Dominant strategy analysis** and Iterated Elimination of Strictly Dominated Strategies (IESDS)
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- **Zero-sum game solving** with minimax theorem and saddle point detection
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| 49 |
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- **Sequential game analysis** via backward induction (up to 3 stages)
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| 50 |
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- **Bayesian game equilibria** with incomplete information
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| 51 |
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- **Cooperative game theory** including Shapley value computation
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- **Auction theory** (first-price, second-price, all-pay, revenue equivalence)
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- **Mechanism design** and incentive compatibility analysis
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| 54 |
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## Training Details
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| 56 |
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| 57 |
+
### Base Model
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| 58 |
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- **Model**: [Qwen/Qwen2.5-7B-Instruct](https://huggingface.co/Qwen/Qwen2.5-7B-Instruct)
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| 59 |
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- **Parameters**: 7.6B (base), 161M trainable (LoRA)
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| 60 |
+
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| 61 |
+
### Dataset
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| 62 |
+
- **Dataset**: [2reb/GameTheory-Bench](https://huggingface.co/datasets/2reb/GameTheory-Bench)
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| 63 |
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- **Train split**: 2,767 examples
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| 64 |
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- **Eval split**: 146 examples (5% held out)
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| 65 |
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### QLoRA Configuration
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| 67 |
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| Parameter | Value |
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| 68 |
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|---|---|
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| 69 |
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| LoRA rank (r) | 64 |
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| 70 |
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| LoRA alpha | 128 |
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| 71 |
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| LoRA dropout | 0.05 |
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| Target modules | q_proj, k_proj, v_proj, o_proj, gate_proj, up_proj, down_proj |
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| 73 |
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| Quantization | 4-bit NF4 with double quantization |
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| 74 |
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| Compute dtype | bfloat16 |
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| 75 |
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| Trainable parameters | 161M (2.1% of total) |
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| 76 |
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| 77 |
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### Training Hyperparameters
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| 78 |
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| Parameter | Value |
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| 79 |
+
|---|---|
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| 80 |
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| Epochs | 3 |
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| 81 |
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| Batch size (per device) | 2 |
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| 82 |
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| Gradient accumulation steps | 8 |
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| 83 |
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| Effective batch size | 16 |
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| 84 |
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| Learning rate | 2e-4 |
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| 85 |
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| LR scheduler | Cosine |
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| 86 |
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| Warmup ratio | 0.05 |
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| 87 |
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| Weight decay | 0.01 |
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| 88 |
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| Max sequence length | 2048 |
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| 89 |
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| Packing | Enabled |
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| 90 |
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| Optimizer | paged_adamw_8bit |
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| 91 |
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| Gradient checkpointing | Enabled |
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| 92 |
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| Precision | bf16 |
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| 93 |
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| 94 |
+
### Training Results
|
| 95 |
+
| Metric | Value |
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| 96 |
+
|---|---|
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| 97 |
+
| Train loss | 0.1613 |
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| 98 |
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| Eval loss | 0.0873 |
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| 99 |
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| Token accuracy | 96.1% |
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| 100 |
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| Total steps | 135 |
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| 101 |
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| Training runtime | 1h 55m |
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| 102 |
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| 103 |
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## Evaluation Results
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| 104 |
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| 105 |
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Evaluated on 15 diverse problems sampled across all 10 categories and 3 difficulty levels.
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| 106 |
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### Overall Performance
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| 108 |
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| Metric | Value |
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| 109 |
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|---|---|
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| 110 |
+
| **Overall Accuracy** | **12/15 (80.0%)** |
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| 111 |
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| Avg generation time | 24.7s per problem |
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| 112 |
+
| Avg output tokens | 322 tokens |
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| 113 |
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| 114 |
+
### Per-Category Accuracy
|
| 115 |
+
| Category | Correct/Total | Accuracy |
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| 116 |
+
|---|---|---|
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| 117 |
+
| auction_theory | 2/2 | 100.0% |
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| 118 |
+
| bayesian_game | 0/1 | 0.0% |
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| 119 |
+
| cooperative_game | 0/1 | 0.0% |
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| 120 |
+
| mechanism_design | 2/2 | 100.0% |
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| 121 |
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| normal_form_2x2 | 3/3 | 100.0% |
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| 122 |
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| normal_form_3x3 | 1/1 | 100.0% |
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| 123 |
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| normal_form_3x4 | 2/2 | 100.0% |
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| 124 |
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| normal_form_4x4 | 1/1 | 100.0% |
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| 125 |
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| sequential_game | 1/1 | 100.0% |
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| 126 |
+
| zero_sum | 0/1 | 0.0% |
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| 127 |
+
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| 128 |
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### Per-Difficulty Accuracy
|
| 129 |
+
| Difficulty | Correct/Total | Accuracy |
|
| 130 |
+
|---|---|---|
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| 131 |
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| easy | 3/3 | 100.0% |
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| 132 |
+
| medium | 4/6 | 66.7% |
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| 133 |
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| hard | 5/6 | 83.3% |
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| 134 |
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| 135 |
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### Sample Results
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| 136 |
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| Category | Subcategory | Difficulty | Result |
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| 137 |
+
|---|---|---|---|
|
| 138 |
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| normal_form_2x2 | random_extra | easy | CORRECT |
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| 139 |
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| normal_form_3x3 | 3x3_pure_ne | medium | CORRECT |
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| 140 |
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| normal_form_3x4 | 3x4_pure_ne | hard | CORRECT |
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| 141 |
+
| normal_form_4x4 | 4x4_iesds | hard | CORRECT |
|
| 142 |
+
| zero_sum | minimax | medium | INCORRECT |
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| 143 |
+
|
| 144 |
+
## Usage
|
| 145 |
+
|
| 146 |
+
### Installation
|
| 147 |
+
|
| 148 |
+
```bash
|
| 149 |
+
pip install transformers peft bitsandbytes accelerate torch
|
| 150 |
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```
|
| 151 |
+
|
| 152 |
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### Loading the Model
|
| 153 |
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|
| 154 |
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```python
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| 155 |
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import torch
|
| 156 |
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from transformers import AutoModelForCausalLM, AutoTokenizer, BitsAndBytesConfig
|
| 157 |
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from peft import PeftModel
|
| 158 |
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| 159 |
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# Load in 4-bit (same as training)
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| 160 |
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bnb_config = BitsAndBytesConfig(
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| 161 |
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load_in_4bit=True,
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| 162 |
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bnb_4bit_quant_type="nf4",
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| 163 |
+
bnb_4bit_compute_dtype=torch.bfloat16,
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| 164 |
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bnb_4bit_use_double_quant=True,
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| 165 |
+
)
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| 166 |
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| 167 |
+
base_model = AutoModelForCausalLM.from_pretrained(
|
| 168 |
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"Qwen/Qwen2.5-7B-Instruct",
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| 169 |
+
quantization_config=bnb_config,
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| 170 |
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device_map="auto",
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| 171 |
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)
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| 172 |
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| 173 |
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model = PeftModel.from_pretrained(base_model, "2reb/GameTheory-Solver")
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| 174 |
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tokenizer = AutoTokenizer.from_pretrained("2reb/GameTheory-Solver")
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| 175 |
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```
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| 176 |
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| 177 |
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### Solving a Game Theory Problem
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| 178 |
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|
| 179 |
+
```python
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| 180 |
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messages = [
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| 181 |
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{"role": "system", "content": "You are a game theory expert. Solve the given problem step-by-step, showing all mathematical reasoning. Provide the final answer clearly."},
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| 182 |
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{"role": "user", "content": "Consider the following game:\n\nPlayer 1 \\ Player 2 | Left | Right\n--- | --- | ---\nUp | (3,1) | (0,0)\nDown | (1,1) | (2,3)\n\nFind all Nash Equilibria."},
|
| 183 |
+
]
|
| 184 |
+
|
| 185 |
+
inputs = tokenizer.apply_chat_template(messages, tokenize=True, add_generation_prompt=True, return_tensors="pt").to(model.device)
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| 186 |
+
|
| 187 |
+
with torch.no_grad():
|
| 188 |
+
outputs = model.generate(inputs, max_new_tokens=512, do_sample=False)
|
| 189 |
+
|
| 190 |
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response = tokenizer.decode(outputs[0][inputs.shape[1]:], skip_special_tokens=True)
|
| 191 |
+
print(response)
|
| 192 |
+
```
|
| 193 |
+
|
| 194 |
+
## Limitations
|
| 195 |
+
|
| 196 |
+
- Performance on **Bayesian games** and **cooperative games** (Shapley value) may be less reliable than on normal-form games
|
| 197 |
+
- Complex mixed-strategy Nash Equilibria with irrational numbers may have precision issues
|
| 198 |
+
- Maximum context of 2048 tokens may truncate very large game matrices
|
| 199 |
+
- The model was trained on synthetically generated problems; real-world game theory scenarios may differ
|
| 200 |
+
|
| 201 |
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## License
|
| 202 |
+
|
| 203 |
+
This adapter is released under the [Apache 2.0 License](https://www.apache.org/licenses/LICENSE-2.0).
|
| 204 |
+
|
| 205 |
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## Citation
|
| 206 |
+
|
| 207 |
+
```bibtex
|
| 208 |
+
@misc{gametheory-solver-2025,
|
| 209 |
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title={GameTheory-Solver: QLoRA Fine-tuned Qwen2.5-7B for Game Theory},
|
| 210 |
+
author={2reb},
|
| 211 |
+
year={2025},
|
| 212 |
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publisher={HuggingFace},
|
| 213 |
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url={https://huggingface.co/2reb/GameTheory-Solver}
|
| 214 |
+
}
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| 215 |
+
```
|
adapter_config.json
ADDED
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{
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| 2 |
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"alora_invocation_tokens": null,
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| 3 |
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"alpha_pattern": {},
|
| 4 |
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"arrow_config": null,
|
| 5 |
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"auto_mapping": null,
|
| 6 |
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"base_model_name_or_path": "Qwen/Qwen2.5-7B-Instruct",
|
| 7 |
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"bias": "none",
|
| 8 |
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"corda_config": null,
|
| 9 |
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"ensure_weight_tying": false,
|
| 10 |
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"eva_config": null,
|
| 11 |
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"exclude_modules": null,
|
| 12 |
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"fan_in_fan_out": false,
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| 13 |
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"inference_mode": true,
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| 14 |
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"init_lora_weights": true,
|
| 15 |
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"layer_replication": null,
|
| 16 |
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"layers_pattern": null,
|
| 17 |
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"layers_to_transform": null,
|
| 18 |
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"loftq_config": {},
|
| 19 |
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"lora_alpha": 128,
|
| 20 |
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"lora_bias": false,
|
| 21 |
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"lora_dropout": 0.05,
|
| 22 |
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"megatron_config": null,
|
| 23 |
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"megatron_core": "megatron.core",
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| 24 |
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"modules_to_save": null,
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| 25 |
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"peft_type": "LORA",
|
| 26 |
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"peft_version": "0.18.1",
|
| 27 |
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"qalora_group_size": 16,
|
| 28 |
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"r": 64,
|
| 29 |
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"rank_pattern": {},
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| 30 |
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"revision": null,
|
| 31 |
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"target_modules": [
|
| 32 |
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"o_proj",
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| 33 |
+
"v_proj",
|
| 34 |
+
"down_proj",
|
| 35 |
+
"up_proj",
|
| 36 |
+
"gate_proj",
|
| 37 |
+
"q_proj",
|
| 38 |
+
"k_proj"
|
| 39 |
+
],
|
| 40 |
+
"target_parameters": null,
|
| 41 |
+
"task_type": "CAUSAL_LM",
|
| 42 |
+
"trainable_token_indices": null,
|
| 43 |
+
"use_dora": false,
|
| 44 |
+
"use_qalora": false,
|
| 45 |
+
"use_rslora": false
|
| 46 |
+
}
|
adapter_model.safetensors
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:681f6ee09f57be855a5cce57a1ddbcee711cf1befc5bc4ac15b695d0942cdab2
|
| 3 |
+
size 645975704
|
chat_template.jinja
ADDED
|
@@ -0,0 +1,54 @@
|
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|
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|
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|
|
|
|
|
|
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|
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|
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|
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|
|
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|
|
|
|
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|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
| 1 |
+
{%- if tools %}
|
| 2 |
+
{{- '<|im_start|>system\n' }}
|
| 3 |
+
{%- if messages[0]['role'] == 'system' %}
|
| 4 |
+
{{- messages[0]['content'] }}
|
| 5 |
+
{%- else %}
|
| 6 |
+
{{- 'You are Qwen, created by Alibaba Cloud. You are a helpful assistant.' }}
|
| 7 |
+
{%- endif %}
|
| 8 |
+
{{- "\n\n# Tools\n\nYou may call one or more functions to assist with the user query.\n\nYou are provided with function signatures within <tools></tools> XML tags:\n<tools>" }}
|
| 9 |
+
{%- for tool in tools %}
|
| 10 |
+
{{- "\n" }}
|
| 11 |
+
{{- tool | tojson }}
|
| 12 |
+
{%- endfor %}
|
| 13 |
+
{{- "\n</tools>\n\nFor each function call, return a json object with function name and arguments within <tool_call></tool_call> XML tags:\n<tool_call>\n{\"name\": <function-name>, \"arguments\": <args-json-object>}\n</tool_call><|im_end|>\n" }}
|
| 14 |
+
{%- else %}
|
| 15 |
+
{%- if messages[0]['role'] == 'system' %}
|
| 16 |
+
{{- '<|im_start|>system\n' + messages[0]['content'] + '<|im_end|>\n' }}
|
| 17 |
+
{%- else %}
|
| 18 |
+
{{- '<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n' }}
|
| 19 |
+
{%- endif %}
|
| 20 |
+
{%- endif %}
|
| 21 |
+
{%- for message in messages %}
|
| 22 |
+
{%- if (message.role == "user") or (message.role == "system" and not loop.first) or (message.role == "assistant" and not message.tool_calls) %}
|
| 23 |
+
{{- '<|im_start|>' + message.role + '\n' + message.content + '<|im_end|>' + '\n' }}
|
| 24 |
+
{%- elif message.role == "assistant" %}
|
| 25 |
+
{{- '<|im_start|>' + message.role }}
|
| 26 |
+
{%- if message.content %}
|
| 27 |
+
{{- '\n' + message.content }}
|
| 28 |
+
{%- endif %}
|
| 29 |
+
{%- for tool_call in message.tool_calls %}
|
| 30 |
+
{%- if tool_call.function is defined %}
|
| 31 |
+
{%- set tool_call = tool_call.function %}
|
| 32 |
+
{%- endif %}
|
| 33 |
+
{{- '\n<tool_call>\n{"name": "' }}
|
| 34 |
+
{{- tool_call.name }}
|
| 35 |
+
{{- '", "arguments": ' }}
|
| 36 |
+
{{- tool_call.arguments | tojson }}
|
| 37 |
+
{{- '}\n</tool_call>' }}
|
| 38 |
+
{%- endfor %}
|
| 39 |
+
{{- '<|im_end|>\n' }}
|
| 40 |
+
{%- elif message.role == "tool" %}
|
| 41 |
+
{%- if (loop.index0 == 0) or (messages[loop.index0 - 1].role != "tool") %}
|
| 42 |
+
{{- '<|im_start|>user' }}
|
| 43 |
+
{%- endif %}
|
| 44 |
+
{{- '\n<tool_response>\n' }}
|
| 45 |
+
{{- message.content }}
|
| 46 |
+
{{- '\n</tool_response>' }}
|
| 47 |
+
{%- if loop.last or (messages[loop.index0 + 1].role != "tool") %}
|
| 48 |
+
{{- '<|im_end|>\n' }}
|
| 49 |
+
{%- endif %}
|
| 50 |
+
{%- endif %}
|
| 51 |
+
{%- endfor %}
|
| 52 |
+
{%- if add_generation_prompt %}
|
| 53 |
+
{{- '<|im_start|>assistant\n' }}
|
| 54 |
+
{%- endif %}
|
tokenizer.json
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:3fd169731d2cbde95e10bf356d66d5997fd885dd8dbb6fb4684da3f23b2585d8
|
| 3 |
+
size 11421892
|
tokenizer_config.json
ADDED
|
@@ -0,0 +1,29 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"add_prefix_space": false,
|
| 3 |
+
"backend": "tokenizers",
|
| 4 |
+
"bos_token": null,
|
| 5 |
+
"clean_up_tokenization_spaces": false,
|
| 6 |
+
"eos_token": "<|im_end|>",
|
| 7 |
+
"errors": "replace",
|
| 8 |
+
"extra_special_tokens": [
|
| 9 |
+
"<|im_start|>",
|
| 10 |
+
"<|im_end|>",
|
| 11 |
+
"<|object_ref_start|>",
|
| 12 |
+
"<|object_ref_end|>",
|
| 13 |
+
"<|box_start|>",
|
| 14 |
+
"<|box_end|>",
|
| 15 |
+
"<|quad_start|>",
|
| 16 |
+
"<|quad_end|>",
|
| 17 |
+
"<|vision_start|>",
|
| 18 |
+
"<|vision_end|>",
|
| 19 |
+
"<|vision_pad|>",
|
| 20 |
+
"<|image_pad|>",
|
| 21 |
+
"<|video_pad|>"
|
| 22 |
+
],
|
| 23 |
+
"is_local": false,
|
| 24 |
+
"model_max_length": 131072,
|
| 25 |
+
"pad_token": "<|endoftext|>",
|
| 26 |
+
"split_special_tokens": false,
|
| 27 |
+
"tokenizer_class": "Qwen2Tokenizer",
|
| 28 |
+
"unk_token": null
|
| 29 |
+
}
|
training_args.bin
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:da56877e9478f0b041766a7794d67df1b222b095968deca6b97c805b4609fc25
|
| 3 |
+
size 5649
|
training_stats.json
ADDED
|
@@ -0,0 +1,16 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"base_model": "Qwen/Qwen2.5-7B-Instruct",
|
| 3 |
+
"dataset": "2reb/GameTheory-Bench",
|
| 4 |
+
"train_examples": 2767,
|
| 5 |
+
"eval_examples": 146,
|
| 6 |
+
"lora_r": 64,
|
| 7 |
+
"lora_alpha": 128,
|
| 8 |
+
"epochs": 3,
|
| 9 |
+
"batch_size": 2,
|
| 10 |
+
"grad_accum": 8,
|
| 11 |
+
"effective_batch": 16,
|
| 12 |
+
"lr": 0.0002,
|
| 13 |
+
"train_loss": 0.1613485331888552,
|
| 14 |
+
"eval_loss": 0.08727391809225082,
|
| 15 |
+
"runtime_seconds": 6895.8492
|
| 16 |
+
}
|