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## Heatmap Comparison: Model Performance on Visual Reasoning Task
### Overview
The image presents a comparison of two machine learning models (GLM-ZT-Air and Light-RT-32B-DS) on a visual reasoning task involving a 9x9 grid. The performance is visualized using heatmaps, where each cell represents a digit (0-8) and the color intensity indicates the model's confidence in predicting the correct digit. Accuracy scores for each model are also displayed, along with a bar chart showing the distribution of correct answer numbers. There is text in Chinese at the top of the image.
### Components/Axes
* **Top Section:** Contains the problem statement in Chinese and dropdown menus for selecting models.
* **Model Selection Dropdowns:**
* "Select Model 1" - Currently set to "GLM-ZT-Air (12.1%)"
* "Select Model 2" - Currently set to "Light-RT-32B-DS (11.6%)"
* **Problem Grids (Heatmaps):** Two 9x9 grids, one for each model.
* X-axis: Numbered 0-8 (representing the digits).
* Y-axis: Numbered 0-8 (representing the digits).
* Color Scale: Ranges from white (0% confidence) to dark green (100% confidence).
* **Accuracy Scores:** Displayed below each grid.
* "Samples B - Model Accuracy: 8.0%"
* "Samples B - Model Accuracy: 14/21 = 66.7%"
* "Samples 64 - Model Accuracy: 14/21 = 66.7%"
* **Correct Answer Number Distribution:** A bar chart showing the frequency of each correct answer number (0-63).
* X-axis: Correct Answer Number (0-63)
* Y-axis: Frequency (0-7)
* **Footer:** Contains text in Chinese, including a copyright notice and model information.
### Detailed Analysis or Content Details
**Chinese Text (Top):**
“对于正方形ABCD-A,B(C,D)。将1,2,...,8分别放在正方形的八个顶点上。要求每一个顶上 的任意三个数之和均不小于10. 求不同放置的个数.”
*Translation:* "For the square ABCD - A, B (C, D). Place 1, 2, ..., 8 respectively at the eight vertices of the square. It is required that the sum of any three numbers at each vertex is not less than 10. Find the number of different arrangements."
**Model 1: GLM-ZT-Air (12.1%)**
* **Grid Analysis:** The heatmap shows varying confidence levels across the grid. The highest confidence (darkest green) appears concentrated around cells (20, 21), (21, 22), (40, 41), (41, 42), (60, 61), (61, 62). Many cells have very low confidence (white).
* **Specific Values (Approximate):**
* (0,0): 0%
* (0,1): 25%
* (0,2): 0%
* (0,3): 52%
* (0,4): 62%
* (0,5): 12%
* (0,6): 0%
* (0,7): 37%
* (0,8): 0%
* (20,20): 82%
* (20,21): 82%
* (20,22): 50%
* (20,23): 37%
* (20,24): 0%
* (20,25): 12%
* (20,26): 0%
* (20,27): 0%
* (20,28): 0%
* **Accuracy:** 8.0% and 14/21 = 66.7%
**Model 2: Light-RT-32B-DS (11.6%)**
* **Grid Analysis:** Similar to Model 1, this heatmap also shows a sparse distribution of high confidence. The highest confidence appears around cells (20, 21), (21, 22), (40, 41), (41, 42), (60, 61), (61, 62).
* **Specific Values (Approximate):**
* (0,0): 0%
* (0,1): 25%
* (0,2): 0%
* (0,3): 52%
* (0,4): 62%
* (0,5): 12%
* (0,6): 0%
* (0,7): 37%
* (0,8): 0%
* (20,20): 87%
* (20,21): 87%
* (20,22): 42%
* (20,23): 34%
* (20,24): 12%
* (20,25): 0%
* (20,26): 0%
* (20,27): 0%
* (20,28): 0%
* **Accuracy:** 14/21 = 66.7%
**Correct Answer Number Distribution:**
* The bar chart shows the frequency of each correct answer number. The highest frequency is around answer number 7, with a frequency of approximately 6. The frequencies for other answer numbers are generally lower, ranging from 0 to 3.
**Footer Text (Chinese):**
“版权所有 © 33986 实验班级名称:GLM-ZT-Air, Light-RT-32B-DS. 本文仅用于研究目的,任何商业用途均需获得授权。本实验基于对正方形ABCD-A,B(C,D)的顶点放置问题进行分析,旨在评估模型的视觉推理能力。请谨慎使用实验结果,并注意潜在的风险。”
*Translation:* "Copyright © 33986. Experimental class name: GLM-ZT-Air, Light-RT-32B-DS. This article is for research purposes only, and any commercial use requires authorization. This experiment is based on the analysis of vertex placement problems in square ABCD - A, B (C, D), aiming to evaluate the visual reasoning ability of the model. Please use the experimental results with caution and pay attention to potential risks."
### Key Observations
* Both models exhibit similar performance patterns on the grid, with high confidence concentrated in the same areas.
* The accuracy scores are relatively low for both models (8.0% and 14/21 = 66.7%).
* The distribution of correct answer numbers is uneven, suggesting some answers are easier to predict than others.
* The problem statement describes a combinatorial problem involving placing numbers on the vertices of a square with a specific constraint.
### Interpretation
The image demonstrates a comparison of two models' ability to solve a visual reasoning problem. The heatmaps visualize the models' confidence in predicting the correct digit for each cell in the grid. The low accuracy scores suggest that the task is challenging for both models. The similar performance patterns indicate that both models are struggling with the same aspects of the problem. The uneven distribution of correct answer numbers suggests that the problem has inherent biases or that certain configurations are easier to solve than others. The Chinese text provides the problem definition, indicating a combinatorial reasoning task. The footer emphasizes the research-only nature of the experiment and cautions against commercial use. The models are likely being evaluated on their ability to understand spatial relationships and apply constraints to solve the problem. The fact that the confidence is concentrated in specific areas suggests the models are identifying some patterns, but are not consistently accurate.