## Bar Chart: Blind Spot summary across datasets - 95% Confidence Intervals
### Overview
The image is a bar chart comparing the self-correction blind spot across different models. The chart displays the mean self-correction blind spot for each model, with error bars representing 95% confidence intervals. The models are evaluated using different self-correction methods: SCL15, GSM8K-SC (Before commit answer), GSM8K-SC (After commit answer), PRM800K-SC (Before commit answer), and PRM800K-SC (After commit answer).
### Components/Axes
* **Title:** Blind Spot summary across datasets - 95% Confidence Intervals
* **X-axis:** Models (DeepSeek-R1-0528, QwQ-32B, Qwen3-235B-A22B (thinking), Qwen3-30B-A3B (thinking), Qwen3-14B (thinking), gemma-3-27b-it, Qwen3-32B (thinking), gemma-3-12b-it, Phi-4-reasoning-plus)
* **Y-axis:** Self-Correction Blind Spot (ranging from -0.4 to 0.4, with increments of 0.1)
* **Legend:** Located in the top-right corner.
* Blue: SCL15
* Orange: GSM8K-SC (Before commit answer)
* Light Orange: GSM8K-SC (After commit answer)
* Green: PRM800K-SC (Before commit answer)
* Light Green: PRM800K-SC (After commit answer)
### Detailed Analysis
The chart presents data for nine different models, each evaluated using five different self-correction methods. The height of each bar represents the mean self-correction blind spot, and the error bars indicate the 95% confidence interval.
* **DeepSeek-R1-0528:**
* SCL15 (Blue): Approximately -0.12, confidence interval extends from approximately -0.18 to -0.06.
* GSM8K-SC (Before commit answer) (Orange): Approximately -0.01, confidence interval extends from approximately -0.07 to 0.05.
* GSM8K-SC (After commit answer) (Light Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* PRM800K-SC (Before commit answer) (Green): Approximately 0.07, confidence interval extends from approximately 0.01 to 0.13.
* PRM800K-SC (After commit answer) (Light Green): Approximately -0.05, confidence interval extends from approximately -0.11 to 0.01.
* **QwQ-32B:**
* SCL15 (Blue): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* GSM8K-SC (Before commit answer) (Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* GSM8K-SC (After commit answer) (Light Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* PRM800K-SC (Before commit answer) (Green): Approximately -0.22, confidence interval extends from approximately -0.28 to -0.16.
* PRM800K-SC (After commit answer) (Light Green): Approximately -0.15, confidence interval extends from approximately -0.21 to -0.09.
* **Qwen3-235B-A22B (thinking):**
* SCL15 (Blue): Approximately 0.03, confidence interval extends from approximately -0.03 to 0.09.
* GSM8K-SC (Before commit answer) (Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* GSM8K-SC (After commit answer) (Light Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* PRM800K-SC (Before commit answer) (Green): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* PRM800K-SC (After commit answer) (Light Green): Approximately -0.19, confidence interval extends from approximately -0.3 to -0.08.
* **Qwen3-30B-A3B (thinking):**
* SCL15 (Blue): Approximately 0.14, confidence interval extends from approximately 0.08 to 0.2.
* GSM8K-SC (Before commit answer) (Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* GSM8K-SC (After commit answer) (Light Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* PRM800K-SC (Before commit answer) (Green): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* PRM800K-SC (After commit answer) (Light Green): Approximately -0.17, confidence interval extends from approximately -0.28 to -0.06.
* **Qwen3-14B (thinking):**
* SCL15 (Blue): Approximately 0.13, confidence interval extends from approximately 0.07 to 0.19.
* GSM8K-SC (Before commit answer) (Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* GSM8K-SC (After commit answer) (Light Orange): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* PRM800K-SC (Before commit answer) (Green): Approximately -0.04, confidence interval extends from approximately -0.1 to 0.02.
* PRM800K-SC (After commit answer) (Light Green): Approximately -0.05, confidence interval extends from approximately -0.16 to 0.06.
* **gemma-3-27b-it:**
* SCL15 (Blue): Approximately -0.08, confidence interval extends from approximately -0.14 to -0.02.
* GSM8K-SC (Before commit answer) (Orange): Approximately 0.19, confidence interval extends from approximately 0.13 to 0.25.
* GSM8K-SC (After commit answer) (Light Orange): Approximately 0.23, confidence interval extends from approximately 0.17 to 0.29.
* PRM800K-SC (Before commit answer) (Green): Approximately 0.07, confidence interval extends from approximately 0.01 to 0.13.
* PRM800K-SC (After commit answer) (Light Green): Approximately 0.03, confidence interval extends from approximately -0.03 to 0.09.
* **Qwen3-32B (thinking):**
* SCL15 (Blue): Approximately 0.15, confidence interval extends from approximately 0.09 to 0.21.
* GSM8K-SC (Before commit answer) (Orange): Approximately 0.01, confidence interval extends from approximately -0.05 to 0.07.
* GSM8K-SC (After commit answer) (Light Orange): Approximately 0.2, confidence interval extends from approximately 0.14 to 0.26.
* PRM800K-SC (Before commit answer) (Green): Approximately 0.15, confidence interval extends from approximately 0.09 to 0.21.
* PRM800K-SC (After commit answer) (Light Green): Approximately -0.04, confidence interval extends from approximately -0.15 to 0.07.
* **gemma-3-12b-it:**
* SCL15 (Blue): Approximately 0.15, confidence interval extends from approximately 0.09 to 0.21.
* GSM8K-SC (Before commit answer) (Orange): Approximately 0.16, confidence interval extends from approximately 0.1 to 0.22.
* GSM8K-SC (After commit answer) (Light Orange): Approximately 0.22, confidence interval extends from approximately 0.16 to 0.28.
* PRM800K-SC (Before commit answer) (Green): Approximately 0.07, confidence interval extends from approximately 0.01 to 0.13.
* PRM800K-SC (After commit answer) (Light Green): Approximately 0.03, confidence interval extends from approximately -0.03 to 0.09.
* **Phi-4-reasoning-plus:**
* SCL15 (Blue): Approximately 0.05, confidence interval extends from approximately -0.01 to 0.11.
* GSM8K-SC (Before commit answer) (Orange): Approximately -0.14, confidence interval extends from approximately -0.2 to -0.08.
* GSM8K-SC (After commit answer) (Light Orange): Approximately 0.15, confidence interval extends from approximately 0.09 to 0.21.
* PRM800K-SC (Before commit answer) (Green): Approximately -0.14, confidence interval extends from approximately -0.2 to -0.08.
* PRM800K-SC (After commit answer) (Light Green): Approximately -0.23, confidence interval extends from approximately -0.34 to -0.12.
### Key Observations
* The GSM8K-SC (After commit answer) method generally shows a higher self-correction blind spot compared to the GSM8K-SC (Before commit answer) method.
* The PRM800K-SC (After commit answer) method often results in a negative self-correction blind spot, indicating a potential over-correction or bias.
* The confidence intervals vary across models and methods, suggesting different levels of uncertainty in the estimated blind spots.
* For some models, the SCL15 method shows a relatively high self-correction blind spot compared to other methods.
### Interpretation
The bar chart provides a comparative analysis of the self-correction blind spot across different models and self-correction methods. The data suggests that the choice of self-correction method can significantly impact the model's performance and bias. The positive and negative values of the self-correction blind spot indicate the degree to which the model is either under-correcting or over-correcting its errors. The confidence intervals provide a measure of the reliability of these estimates.
The chart highlights the importance of carefully selecting and tuning self-correction methods to optimize model performance and minimize bias. The observed differences across models suggest that the effectiveness of a particular self-correction method may depend on the specific architecture and training data of the model.