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@@ -88,21 +88,29 @@ The plot below highlights the alignment comparison of the model trained with Con
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  ![Alignment Comparison](plots/alignment_comparison.png)
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  ### Benchmark Results Table
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- The table below summarizes the evaluation results across mathematical tasks and original capabilities for various models and training approaches.
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- | **Model** | **MathH** | **Math** | **GSM8K** | **Math Avg.** | **ARC** | **GPQA** | **MMLU** | **MMLUP** | **Orig. Avg.** | **Overall** |
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- |--------------------------|--------------|----------|-----------|---------------|---------|----------|----------|-----------|----------------|-------------|
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- | Llama3.1-8B-Instruct | 23.7 | 50.9 | 85.6 | 52.1 | 83.4 | 29.9 | 72.4 | 46.7 | 60.5 | 56.3 |
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- | OpenMath2-Llama3.1 | 38.4 | 64.1 | 90.3 | 64.3 | 45.8 | 1.3 | 4.5 | 19.5 | 12.9 | 38.6 |
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- | **Full Param Tune** | **38.5** | **63.7** | 90.2 | **63.9** | 58.2 | 1.1 | 7.3 | 23.5 | 16.5 | 40.1 |
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- | Partial Param Tune | 36.4 | 61.4 | 89.0 | 61.8 | 66.2 | 6.0 | 25.7 | 30.9 | 29.3 | 45.6 |
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- | Stack Expansion | 35.6 | 61.0 | 90.8 | 61.8 | 69.3 | 18.8 | 61.8 | 43.1 | 53.3 | 57.6 |
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- | Hybrid Expansion | 34.4 | 61.1 | 90.1 | 61.5 | **81.8**| **25.9** | 67.2 | **43.9** | 57.1 | 59.3 |
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- | **Control LLM*** | 38.1 | 62.7 | **90.4** | 63.2 | 79.7 | 25.2 | **68.1** | 43.6 | **57.2** | **60.2** |
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  ---
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- ### Explanation of Groups
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- - **Math Avg.**: Average performance across MathHard, Math, and GSM8K tasks.
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- - **Orig. Avg.**: Average performance across ARC, GPQA, MMLU, and MMLUP tasks.
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- - **Overall**: Combined average across all tasks.
 
 
 
 
 
 
 
 
 
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  ![Alignment Comparison](plots/alignment_comparison.png)
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  ### Benchmark Results Table
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+ The table below summarizes the evaluation results across mathematical tasks and original capabilities.
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+ | **Model** | **MathH** | **Math** | **GSM8K** | **Math Avg.** | **ARC** | **GPQA** | **MMLU** | **MMLUP** | **Orig. Avg.** | **Overall** |
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+ |-------------------|-----------|----------|-----------|---------------|---------|----------|----------|-----------|----------------|-------------|
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+ | Llama3.1-8B-Inst | 23.7 | 50.9 | 85.6 | 52.1 | 83.4 | 29.9 | 72.4 | 46.7 | 60.5 | 56.3 |
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+ | OpenMath2-Llama3 | 38.4 | 64.1 | 90.3 | 64.3 | 45.8 | 1.3 | 4.5 | 19.5 | 12.9 | 38.6 |
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+ | **Full Tune** | **38.5** | **63.7** | 90.2 | **63.9** | 58.2 | 1.1 | 7.3 | 23.5 | 16.5 | 40.1 |
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+ | Partial Tune | 36.4 | 61.4 | 89.0 | 61.8 | 66.2 | 6.0 | 25.7 | 30.9 | 29.3 | 45.6 |
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+ | Stack Expansion | 35.6 | 61.0 | 90.8 | 61.8 | 69.3 | 18.8 | 61.8 | 43.1 | 53.3 | 57.6 |
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+ | Hybrid Expansion | 34.4 | 61.1 | 90.1 | 61.5 | **81.8**| **25.9** | 67.2 | **43.9** | 57.1 | 59.3 |
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+ | **Control LLM*** | 38.1 | 62.7 | **90.4** | 63.2 | 79.7 | 25.2 | **68.1** | 43.6 | **57.2** | **60.2** |
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  ---
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+ ### Explanation of Metrics
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+ - **MathH**: MathHard
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+ - **Math**: General math reasoning
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+ - **GSM8K**: Grade-school math
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+ - **Math Avg.**: Average performance across Math Hard, Math, and GSM8K
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+ - **ARC**: AI reasoning challenge
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+ - **GPQA**: General knowledge question answering
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+ - **MMLU**: Massive Multitask Language Understanding
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+ - **MMLUP**: MMLU (Professional subset)
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+ - **Orig. Avg.**: Average original capabilities' performance across ARC, GPQA, MMLU, and MMLU Pro
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+ - **Overall**: Combined average across all tasks
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+