## Line Chart: Mistral-7B Model Performance Comparison ### Overview The image presents two line charts comparing the performance of Mistral-7B-v0.1 and Mistral-7B-v0.3 models across different question answering tasks. The charts display the change in performance (ΔP) as a function of the layer number in the model. Each line represents a different question answering task, anchored either to the question (Q-Anchored) or the answer (A-Anchored). ### Components/Axes * **Titles:** The left chart is titled "Mistral-7B-v0.1" and the right chart is titled "Mistral-7B-v0.3". * **X-axis:** Labeled "Layer", with a scale from 0 to 30 in increments of 10. * **Y-axis:** Labeled "ΔP", with a scale from -80 to 20 in increments of 20. * **Legend:** Located at the bottom of the charts, mapping line styles and colors to question answering tasks: * Blue solid line: Q-Anchored (PopQA) * Brown dashed line: A-Anchored (PopQA) * Green dotted line: Q-Anchored (TriviaQA) * Pink dashed-dotted line: A-Anchored (TriviaQA) * Red dashed line: Q-Anchored (HotpotQA) * Orange dashed-double-dotted line: A-Anchored (HotpotQA) * Purple dashed line: Q-Anchored (NQ) * Gray dotted line: A-Anchored (NQ) ### Detailed Analysis **Mistral-7B-v0.1 (Left Chart):** * **Q-Anchored (PopQA) (Blue solid line):** Starts at approximately 0, decreases to around -60 by layer 30. * **A-Anchored (PopQA) (Brown dashed line):** Starts at approximately 0, decreases slightly to around -10, then fluctuates between -5 and -15. * **Q-Anchored (TriviaQA) (Green dotted line):** Starts at approximately 0, decreases to around -60 by layer 30. * **A-Anchored (TriviaQA) (Pink dashed-dotted line):** Starts at approximately 0, decreases to around -50 by layer 30. * **Q-Anchored (HotpotQA) (Red dashed line):** Starts at approximately 0, increases to around 10 by layer 30. * **A-Anchored (HotpotQA) (Orange dashed-double-dotted line):** Starts at approximately 0, decreases to around -15, then fluctuates between -5 and -15. * **Q-Anchored (NQ) (Purple dashed line):** Starts at approximately 0, decreases to around -70 by layer 30. * **A-Anchored (NQ) (Gray dotted line):** Starts at approximately 0, increases to around 15 by layer 30. **Mistral-7B-v0.3 (Right Chart):** * **Q-Anchored (PopQA) (Blue solid line):** Starts at approximately 0, decreases to around -60 by layer 30. * **A-Anchored (PopQA) (Brown dashed line):** Starts at approximately 0, decreases slightly to around -10, then fluctuates between -5 and -15. * **Q-Anchored (TriviaQA) (Green dotted line):** Starts at approximately 0, decreases to around -60 by layer 30. * **A-Anchored (TriviaQA) (Pink dashed-dotted line):** Starts at approximately 0, decreases to around -50 by layer 30. * **Q-Anchored (HotpotQA) (Red dashed line):** Starts at approximately 0, increases to around 10 by layer 30. * **A-Anchored (HotpotQA) (Orange dashed-double-dotted line):** Starts at approximately 0, decreases to around -15, then fluctuates between -5 and -15. * **Q-Anchored (NQ) (Purple dashed line):** Starts at approximately 0, decreases to around -70 by layer 30. * **A-Anchored (NQ) (Gray dotted line):** Starts at approximately 0, increases to around 15 by layer 30. ### Key Observations * The performance trends for each question answering task are very similar between Mistral-7B-v0.1 and Mistral-7B-v0.3. * Q-Anchored (PopQA), Q-Anchored (TriviaQA), and Q-Anchored (NQ) show a significant decrease in ΔP as the layer number increases. * A-Anchored (PopQA) and A-Anchored (HotpotQA) show a slight decrease in ΔP as the layer number increases. * Q-Anchored (HotpotQA) and A-Anchored (NQ) show an increase in ΔP as the layer number increases. ### Interpretation The charts suggest that the performance of the Mistral-7B model on different question answering tasks varies significantly depending on whether the task is anchored to the question or the answer. The decrease in ΔP for Q-Anchored tasks as the layer number increases could indicate that the model struggles to maintain performance on these tasks as it processes deeper layers. Conversely, the increase in ΔP for A-Anchored (NQ) and Q-Anchored (HotpotQA) tasks suggests that the model's performance improves with deeper processing for these specific tasks. The similarity in trends between Mistral-7B-v0.1 and Mistral-7B-v0.3 indicates that the performance characteristics are consistent across these versions of the model.

## Line Chart: Delta P vs. Layer for Mistral Models ### Overview The image presents two line charts, side-by-side, comparing the change in probability (ΔP) across layers for two versions of the Mistral-7B language model: v0.1 and v0.3. Each chart displays multiple lines representing different anchoring methods (Q-Anchored and A-Anchored) and datasets (PopQA, TriviaQA, HotpotQA, and NQ). The x-axis represents the layer number, ranging from approximately 0 to 32, while the y-axis represents ΔP, ranging from approximately -80 to 20. ### Components/Axes * **X-axis:** Layer (ranging from 0 to 32, with tick marks at intervals of 5) * **Y-axis:** ΔP (Delta P, change in probability, ranging from -80 to 20) * **Left Chart Title:** Mistral-7B-v0.1 * **Right Chart Title:** Mistral-7B-v0.3 * **Legend (Bottom-Left):** * Blue Solid Line: Q-Anchored (PopQA) * Orange Dashed Line: A-Anchored (PopQA) * Purple Solid Line: Q-Anchored (TriviaQA) * Orange Solid Line: A-Anchored (TriviaQA) * Green Solid Line: Q-Anchored (HotpotQA) * Light-Green Dashed Line: A-Anchored (HotpotQA) * Teal Solid Line: Q-Anchored (NQ) * Brown Dashed Line: A-Anchored (NQ) ### Detailed Analysis or Content Details **Mistral-7B-v0.1 (Left Chart):** * **Q-Anchored (PopQA) - Blue Solid Line:** Starts at approximately 0, decreases sharply to around -20 by layer 10, continues decreasing to approximately -65 by layer 30. * **A-Anchored (PopQA) - Orange Dashed Line:** Starts at approximately 0, fluctuates around 0 until layer 10, then gradually decreases to approximately -40 by layer 30. * **Q-Anchored (TriviaQA) - Purple Solid Line:** Starts at approximately 0, decreases to around -25 by layer 10, continues decreasing to approximately -60 by layer 30. * **A-Anchored (TriviaQA) - Orange Solid Line:** Starts at approximately 0, fluctuates around 0 until layer 10, then gradually decreases to approximately -40 by layer 30. * **Q-Anchored (HotpotQA) - Green Solid Line:** Starts at approximately 0, decreases to around -15 by layer 10, continues decreasing to approximately -55 by layer 30. * **A-Anchored (HotpotQA) - Light-Green Dashed Line:** Starts at approximately 0, fluctuates around 0 until layer 10, then gradually decreases to approximately -35 by layer 30. * **Q-Anchored (NQ) - Teal Solid Line:** Starts at approximately 0, decreases to around -20 by layer 10, continues decreasing to approximately -60 by layer 30. * **A-Anchored (NQ) - Brown Dashed Line:** Starts at approximately 0, fluctuates around 0 until layer 10, then gradually decreases to approximately -40 by layer 30. **Mistral-7B-v0.3 (Right Chart):** * **Q-Anchored (PopQA) - Blue Solid Line:** Starts at approximately 0, decreases to around -20 by layer 10, continues decreasing to approximately -60 by layer 30. * **A-Anchored (PopQA) - Orange Dashed Line:** Starts at approximately 0, fluctuates around 0 until layer 10, then gradually decreases to approximately -35 by layer 30. * **Q-Anchored (TriviaQA) - Purple Solid Line:** Starts at approximately 0, decreases to around -20 by layer 10, continues decreasing to approximately -55 by layer 30. * **A-Anchored (TriviaQA) - Orange Solid Line:** Starts at approximately 0, fluctuates around 0 until layer 10, then gradually decreases to approximately -35 by layer 30. * **Q-Anchored (HotpotQA) - Green Solid Line:** Starts at approximately 0, decreases to around -15 by layer 10, continues decreasing to approximately -50 by layer 30. * **A-Anchored (HotpotQA) - Light-Green Dashed Line:** Starts at approximately 0, fluctuates around 0 until layer 10, then gradually decreases to approximately -30 by layer 30. * **Q-Anchored (NQ) - Teal Solid Line:** Starts at approximately 0, decreases to around -20 by layer 10, continues decreasing to approximately -55 by layer 30. * **A-Anchored (NQ) - Brown Dashed Line:** Starts at approximately 0, fluctuates around 0 until layer 10, then gradually decreases to approximately -35 by layer 30. ### Key Observations * In both charts, the Q-Anchored lines consistently show a more significant decrease in ΔP across layers compared to the A-Anchored lines. * The decrease in ΔP appears to be more pronounced in Mistral-7B-v0.3 than in v0.1, suggesting a change in the model's behavior across layers. * The PopQA, TriviaQA, HotpotQA, and NQ datasets exhibit similar trends, with the Q-Anchored lines showing a steeper decline. * The A-Anchored lines generally remain closer to 0, indicating a smaller change in probability. ### Interpretation The charts illustrate how the change in probability (ΔP) varies across layers for different anchoring methods and datasets in the Mistral-7B language model. The consistent downward trend in ΔP for Q-Anchored lines suggests that the model's confidence or probability assigned to the correct answer decreases as information propagates through deeper layers when using question anchoring. Conversely, the A-Anchored lines, which remain closer to zero, indicate a more stable probability distribution. The difference between v0.1 and v0.3 suggests that the model architecture or training process has been modified, leading to a more pronounced effect of layer depth on probability changes in the newer version. The similarity in trends across datasets indicates that this behavior is not specific to a particular type of question or knowledge source. The steeper decline in ΔP for Q-Anchored lines could be interpreted as a potential issue with information loss or degradation as the model processes information through deeper layers. This might suggest a need for further investigation into the model's internal representations and the effectiveness of different anchoring strategies. The fact that A-Anchored lines are more stable suggests that answer anchoring might be a more robust approach for maintaining probability consistency across layers.

## Line Charts: Mistral-7B Model Layer-wise Performance Change (ΔP) ### Overview The image displays two side-by-side line charts comparing the layer-wise change in performance (ΔP) for two versions of the Mistral-7B language model: "Mistral-7B-v0.1" (left) and "Mistral-7B-v0.3" (right). Each chart plots ΔP against the model's layer number (0 to 30+). The data is broken down by two anchoring methods (Q-Anchored and A-Anchored) across four different question-answering datasets (PopQA, TriviaQA, HotpotQA, NQ). ### Components/Axes * **Chart Titles:** Centered above each plot: "Mistral-7B-v0.1" (left) and "Mistral-7B-v0.3" (right). * **X-Axis:** Labeled "Layer". Linear scale with major tick marks at 0, 10, 20, and 30. * **Y-Axis:** Labeled "ΔP". Linear scale with major tick marks at -80, -60, -40, -20, 0, and 20. * **Legend:** Positioned at the bottom, spanning the width of both charts. It defines eight data series using a combination of color and line style: * **Solid Lines (Q-Anchored):** * Blue: Q-Anchored (PopQA) * Green: Q-Anchored (TriviaQA) * Purple: Q-Anchored (HotpotQA) * Pink: Q-Anchored (NQ) * **Dashed Lines (A-Anchored):** * Orange: A-Anchored (PopQA) * Red: A-Anchored (TriviaQA) * Gray: A-Anchored (HotpotQA) * Light Blue: A-Anchored (NQ) ### Detailed Analysis **Mistral-7B-v0.1 (Left Chart):** * **Q-Anchored Series (Solid Lines):** All four lines (Blue/PopQA, Green/TriviaQA, Purple/HotpotQA, Pink/NQ) follow a very similar, pronounced downward trend. They start near ΔP = 0 at Layer 0, begin a steep decline around Layer 5-10, and continue to fall, reaching values between approximately -60 and -75 by Layer 30. The lines are tightly clustered, with the Green (TriviaQA) and Pink (NQ) lines often at the lower bound of the cluster. * **A-Anchored Series (Dashed Lines):** These lines exhibit a fundamentally different pattern. They fluctuate around ΔP = 0 throughout all layers, showing no consistent downward or upward trend. The Orange (PopQA) and Red (TriviaQA) lines show more volatility, with peaks reaching near +10 and troughs near -15. The Gray (HotpotQA) and Light Blue (NQ) lines are slightly more stable but still oscillate within a range of roughly -10 to +15. **Mistral-7B-v0.3 (Right Chart):** * **Q-Anchored Series (Solid Lines):** The downward trend is again present but appears slightly less severe compared to v0.1. The lines start near 0, begin declining around Layer 10, and reach values between approximately -50 and -65 by Layer 30. The clustering is similar, with Green (TriviaQA) and Pink (NQ) often among the lowest. * **A-Anchored Series (Dashed Lines):** These lines are notably more stable than in v0.1. They hover very close to ΔP = 0 across all layers, with significantly reduced amplitude of fluctuation. Most lines stay within a narrow band of approximately -5 to +5. The Orange (PopQA) line shows the most deviation, with a slight negative bias in the middle layers. ### Key Observations 1. **Fundamental Dichotomy:** There is a stark and consistent difference between the behavior of Q-Anchored and A-Anchored methods across both model versions. Q-Anchored performance degrades significantly with layer depth, while A-Anchored performance remains stable. 2. **Version Comparison (v0.1 vs. v0.3):** The A-Anchored lines in v0.3 are markedly more stable (closer to zero with less variance) than in v0.1. The Q-Anchored lines in v0.3 show a similar pattern of degradation but may start their decline slightly later and end at a marginally higher (less negative) ΔP. 3. **Dataset Similarity:** Within each anchoring method, the four datasets (PopQA, TriviaQA, HotpotQA, NQ) produce highly correlated trends. Their lines are tightly grouped, suggesting the observed layer-wise effect is robust across these different QA benchmarks. 4. **Spatial Grounding:** The legend is placed centrally at the bottom, clearly associating each color/style with its label. In the charts, the solid (Q-Anchored) lines occupy the lower half (negative ΔP) after the initial layers, while the dashed (A-Anchored) lines occupy the central band around zero. ### Interpretation This data suggests a critical insight into the internal mechanics of the Mistral-7B model across its versions. The metric ΔP likely represents a change in some performance measure (e.g., probability, accuracy) when using different "anchoring" techniques. * **Q-Anchored vs. A-Anchored:** The consistent degradation of Q-Anchored performance in deeper layers implies that the model's processing of the *question* (Q) becomes less effective or more perturbed as information flows through the network. In contrast, the stability of A-Anchored performance suggests the model's handling of the *answer* (A) context is robust to depth. This could indicate that deeper layers specialize in or are more sensitive to answer-related processing. * **Model Evolution (v0.1 to v0.3):** The improved stability of the A-Anchored lines in v0.3 suggests that this model version has been refined to maintain more consistent performance on answer-anchored tasks across its depth, representing a potential architectural or training improvement. * **Robustness Across Tasks:** The tight clustering of lines for different datasets indicates that this layer-wise phenomenon is a general property of the model's architecture and the anchoring methods, not an artifact of a specific question set. **In summary, the charts reveal a fundamental asymmetry in how the model processes question versus answer information across its layers, with evidence of iterative improvement between model versions in stabilizing answer-based processing.**

## Line Chart: ΔP Across Layers for Mistral-7B Models (v0.1 and v0.3) ### Overview The image contains two side-by-side line charts comparing the ΔP metric across 30 layers for two versions of the Mistral-7B model (v0.1 and v0.3). Each chart includes six data series represented by distinct colored lines, with a legend at the bottom-left corner. The y-axis measures ΔP (ranging from -80 to 20), and the x-axis represents layer numbers (0 to 30). --- ### Components/Axes - **Y-Axis**: ΔP (values from -80 to 20, increments of 20) - **X-Axis**: Layer (0 to 30, increments of 10) - **Legend**: Located at bottom-left, with six entries: 1. **Q-Anchored (PopQA)**: Solid blue line 2. **A-Anchored (PopQA)**: Dashed orange line 3. **Q-Anchored (TriviaQA)**: Dotted green line 4. **A-Anchored (TriviaQA)**: Dash-dot red line 5. **Q-Anchored (HotpotQA)**: Solid purple line 6. **A-Anchored (HotpotQA)**: Dotted gray line 7. **Q-Anchored (NQ)**: Dash-dot pink line 8. **A-Anchored (NQ)**: Solid gray line --- ### Detailed Analysis #### Left Panel (Mistral-7B-v0.1) - **Q-Anchored (PopQA)**: Starts at 0, declines sharply to ~-60 by layer 30 (blue line). - **A-Anchored (PopQA)**: Starts at 0, fluctuates minimally, ending near 0 (orange dashed line). - **Q-Anchored (TriviaQA)**: Drops from 0 to ~-50 by layer 30 (dotted green line). - **A-Anchored (TriviaQA)**: Peaks at ~+10 around layer 10, then declines to ~-10 (red dash-dot line). - **Q-Anchored (HotpotQA)**: Declines from 0 to ~-50 by layer 30 (solid purple line). - **A-Anchored (HotpotQA)**: Starts at 0, fluctuates between +5 and -5 (dotted gray line). - **Q-Anchored (NQ)**: Drops from 0 to ~-55 by layer 30 (dash-dot pink line). - **A-Anchored (NQ)**: Starts at 0, fluctuates between +5 and -5 (solid gray line). #### Right Panel (Mistral-7B-v0.3) - **Q-Anchored (PopQA)**: Declines from 0 to ~-50 by layer 30 (blue line). - **A-Anchored (PopQA)**: Starts at 0, fluctuates minimally, ending near 0 (orange dashed line). - **Q-Anchored (TriviaQA)**: Drops from 0 to ~-45 by layer 30 (dotted green line). - **A-Anchored (TriviaQA)**: Peaks at ~+15 around layer 10, then declines to ~-5 (red dash-dot line). - **Q-Anchored (HotpotQA)**: Declines from 0 to ~-40 by layer 30 (solid purple line). - **A-Anchored (HotpotQA)**: Starts at 0, fluctuates between +5 and -5 (dotted gray line). - **Q-Anchored (NQ)**: Drops from 0 to ~-50 by layer 30 (dash-dot pink line). - **A-Anchored (NQ)**: Starts at 0, fluctuates between +5 and -5 (solid gray line). --- ### Key Observations 1. **General Trend**: Most Q-Anchored lines show a consistent downward trend in ΔP across layers, while A-Anchored lines remain relatively stable or exhibit minor fluctuations. 2. **Version Differences**: - v0.3 shows smaller ΔP magnitudes compared to v0.1 for most Q-Anchored lines (e.g., Q-Anchored (PopQA) drops from -60 to -50). - A-Anchored (TriviaQA) in v0.3 has a higher peak (~+15 vs. +10 in v0.1). 3. **Anomalies**: - A-Anchored (TriviaQA) in v0.1 has a pronounced peak at layer 10. - Q-Anchored (HotpotQA) in v0.1 shows a sharp dip at layer 15. --- ### Interpretation The charts suggest that anchoring strategies (Q-Anchored vs. A-Anchored) and datasets (PopQA, TriviaQA, HotpotQA, NQ) influence ΔP trends across model layers. The reduction in ΔP magnitude in v0.3 compared to v0.1 implies improved stability or performance in the updated model version. Notably, Q-Anchored methods exhibit larger ΔP declines, potentially indicating greater sensitivity to layer depth or dataset-specific challenges. The stability of A-Anchored lines suggests robustness to layer variations. These trends could reflect architectural changes in the model versions or dataset-specific optimization effects.