## Line Chart: Layer vs. ΔP for Mistral-7B Models ### Overview The image presents two line charts comparing the performance of Mistral-7B-v0.1 and Mistral-7B-v0.3 models across different layers. The charts plot the change in performance (ΔP) against the layer number for various question answering tasks, differentiated by anchoring method (Q-Anchored vs. A-Anchored) and dataset (PopQA, TriviaQA, HotpotQA, NQ). ### Components/Axes * **Titles:** * Left Chart: "Mistral-7B-v0.1" * Right Chart: "Mistral-7B-v0.3" * **X-axis:** "Layer" * Scale: 0 to 30, incrementing by 10. * **Y-axis:** "ΔP" (Change in Performance) * Scale: -80 to 20, incrementing by 20. * **Legend:** Located at the bottom of the image. * Q-Anchored (PopQA): Solid Blue Line * A-Anchored (PopQA): Dashed Brown Line * Q-Anchored (TriviaQA): Dotted Green Line * A-Anchored (TriviaQA): Dash-Dotted Pink Line * Q-Anchored (HotpotQA): Dash-Dotted Dark-Gray Line * A-Anchored (HotpotQA): Dotted Red Line * Q-Anchored (NQ): Dash-Dotted Light-Purple Line * A-Anchored (NQ): Dotted Dark-Gray Line ### Detailed Analysis **Left Chart: Mistral-7B-v0.1** * **Q-Anchored (PopQA):** (Solid Blue Line) Starts at approximately 0, decreases sharply to around -45 by layer 10, fluctuates between -30 and -60 until layer 30. Ends around -60. * **A-Anchored (PopQA):** (Dashed Brown Line) Starts at approximately 0, remains relatively stable between -5 and 5 across all layers. * **Q-Anchored (TriviaQA):** (Dotted Green Line) Starts at approximately 0, decreases to around -40 by layer 10, fluctuates between -30 and -50 until layer 30. Ends around -50. * **A-Anchored (TriviaQA):** (Dash-Dotted Pink Line) Starts at approximately 0, decreases to around -30 by layer 10, fluctuates between -30 and -40 until layer 30. Ends around -40. * **Q-Anchored (HotpotQA):** (Dash-Dotted Dark-Gray Line) Starts at approximately 0, remains relatively stable between -5 and 5 across all layers. * **A-Anchored (HotpotQA):** (Dotted Red Line) Starts at approximately 0, remains relatively stable between -5 and 10 across all layers. * **Q-Anchored (NQ):** (Dash-Dotted Light-Purple Line) Starts at approximately 0, decreases to around -30 by layer 10, fluctuates between -30 and -40 until layer 30. Ends around -40. * **A-Anchored (NQ):** (Dotted Dark-Gray Line) Starts at approximately 0, remains relatively stable between -5 and 5 across all layers. **Right Chart: Mistral-7B-v0.3** * **Q-Anchored (PopQA):** (Solid Blue Line) Starts at approximately 0, decreases sharply to around -50 by layer 10, fluctuates between -40 and -70 until layer 30. Ends around -70. * **A-Anchored (PopQA):** (Dashed Brown Line) Starts at approximately 0, remains relatively stable between -5 and 5 across all layers. * **Q-Anchored (TriviaQA):** (Dotted Green Line) Starts at approximately 0, decreases to around -40 by layer 10, fluctuates between -30 and -60 until layer 30. Ends around -60. * **A-Anchored (TriviaQA):** (Dash-Dotted Pink Line) Starts at approximately 0, decreases to around -30 by layer 10, fluctuates between -30 and -50 until layer 30. Ends around -50. * **Q-Anchored (HotpotQA):** (Dash-Dotted Dark-Gray Line) Starts at approximately 0, remains relatively stable between -5 and 5 across all layers. * **A-Anchored (HotpotQA):** (Dotted Red Line) Starts at approximately 0, remains relatively stable between -5 and 10 across all layers. * **Q-Anchored (NQ):** (Dash-Dotted Light-Purple Line) Starts at approximately 0, decreases to around -30 by layer 10, fluctuates between -30 and -50 until layer 30. Ends around -50. * **A-Anchored (NQ):** (Dotted Dark-Gray Line) Starts at approximately 0, remains relatively stable between -5 and 5 across all layers. ### Key Observations * For both Mistral-7B-v0.1 and Mistral-7B-v0.3, the "Q-Anchored" lines for PopQA, TriviaQA, and NQ datasets show a significant decrease in ΔP as the layer number increases, indicating a performance drop. * The "A-Anchored" lines for all datasets remain relatively stable around 0, suggesting that anchoring with the answer has a different effect on performance across layers compared to anchoring with the question. * The HotpotQA dataset shows a stable performance for both Q-Anchored and A-Anchored methods. * Mistral-7B-v0.3 shows a slightly larger decrease in ΔP for Q-Anchored (PopQA) compared to Mistral-7B-v0.1. ### Interpretation The charts suggest that the performance of Mistral-7B models, particularly when anchored with the question (Q-Anchored), varies significantly across different layers for certain question answering tasks (PopQA, TriviaQA, NQ). The decrease in ΔP indicates that as the model processes information through deeper layers, its performance on these tasks degrades. This could be due to issues like vanishing gradients, overfitting to specific layers, or the accumulation of noise. The stability of A-Anchored lines suggests that providing the answer as context might mitigate the performance degradation observed with Q-Anchored methods. The consistent performance on HotpotQA might indicate that this dataset is less sensitive to the layer-specific issues affecting the other datasets. The slight difference between Mistral-7B-v0.1 and Mistral-7B-v0.3, particularly for Q-Anchored (PopQA), suggests that the newer version might have slightly exacerbated the performance degradation issue in deeper layers for this specific task. Further investigation is needed to understand the underlying causes and potential solutions for these performance variations.

\n ## 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 question-answering datasets and anchoring methods. The x-axis represents the layer number (0 to 30), and the y-axis represents ΔP, ranging from approximately -80 to 20. Shaded areas around each line indicate the standard deviation. ### Components/Axes * **X-axis:** Layer (0 to 30) * **Y-axis:** ΔP (Delta P, change in probability) * **Left Chart Title:** Mistral-7B-v0.1 * **Right Chart Title:** Mistral-7B-v0.3 * **Legend (Bottom):** * Blue Line: Q-Anchored (PopQA) * Orange Dashed Line: A-Anchored (PopQA) * Green Line: Q-Anchored (TriviaQA) * Purple Line: A-Anchored (TriviaQA) * Brown Dashed Line: Q-Anchored (HotpotQA) * Light Green Dashed Line: A-Anchored (HotpotQA) * Gray Line: Q-Anchored (NQ) * Light Purple Line: A-Anchored (NQ) ### Detailed Analysis or Content Details **Mistral-7B-v0.1 (Left Chart):** * **Q-Anchored (PopQA) (Blue Line):** Starts at approximately 0 ΔP, decreases to around -20 ΔP at layer 5, continues decreasing to approximately -60 ΔP at layer 25, and then slightly recovers to around -50 ΔP at layer 30. * **A-Anchored (PopQA) (Orange Dashed Line):** Starts at approximately 0 ΔP, remains relatively stable around -10 to 0 ΔP until layer 15, then decreases to approximately -40 ΔP at layer 25, and recovers to around -30 ΔP at layer 30. * **Q-Anchored (TriviaQA) (Green Line):** Starts at approximately 0 ΔP, decreases to around -20 ΔP at layer 5, continues decreasing to approximately -50 ΔP at layer 20, and then decreases further to around -65 ΔP at layer 30. * **A-Anchored (TriviaQA) (Purple Line):** Starts at approximately 0 ΔP, remains relatively stable around -10 to 0 ΔP until layer 10, then decreases to approximately -40 ΔP at layer 20, and recovers to around -30 ΔP at layer 30. * **Q-Anchored (HotpotQA) (Brown Dashed Line):** Starts at approximately 0 ΔP, decreases to around -20 ΔP at layer 5, continues decreasing to approximately -50 ΔP at layer 20, and then decreases further to around -60 ΔP at layer 30. * **A-Anchored (HotpotQA) (Light Green Dashed Line):** Starts at approximately 0 ΔP, remains relatively stable around -10 to 0 ΔP until layer 10, then decreases to approximately -30 ΔP at layer 20, and recovers to around -20 ΔP at layer 30. * **Q-Anchored (NQ) (Gray Line):** Starts at approximately 0 ΔP, decreases to around -20 ΔP at layer 5, continues decreasing to approximately -50 ΔP at layer 20, and then decreases further to around -60 ΔP at layer 30. * **A-Anchored (NQ) (Light Purple Line):** Starts at approximately 0 ΔP, remains relatively stable around -10 to 0 ΔP until layer 10, then decreases to approximately -30 ΔP at layer 20, and recovers to around -20 ΔP at layer 30. **Mistral-7B-v0.3 (Right Chart):** * **Q-Anchored (PopQA) (Blue Line):** Starts at approximately 0 ΔP, decreases to around -20 ΔP at layer 5, continues decreasing to approximately -50 ΔP at layer 25, and then slightly recovers to around -40 ΔP at layer 30. * **A-Anchored (PopQA) (Orange Dashed Line):** Starts at approximately 0 ΔP, remains relatively stable around -10 to 0 ΔP until layer 15, then decreases to approximately -30 ΔP at layer 25, and recovers to around -20 ΔP at layer 30. * **Q-Anchored (TriviaQA) (Green Line):** Starts at approximately 0 ΔP, decreases to around -20 ΔP at layer 5, continues decreasing to approximately -50 ΔP at layer 20, and then decreases further to around -65 ΔP at layer 30. * **A-Anchored (TriviaQA) (Purple Line):** Starts at approximately 0 ΔP, remains relatively stable around -10 to 0 ΔP until layer 10, then decreases to approximately -30 ΔP at layer 20, and recovers to around -20 ΔP at layer 30. * **Q-Anchored (HotpotQA) (Brown Dashed Line):** Starts at approximately 0 ΔP, decreases to around -20 ΔP at layer 5, continues decreasing to approximately -40 ΔP at layer 20, and then decreases further to around -60 ΔP at layer 30. * **A-Anchored (HotpotQA) (Light Green Dashed Line):** Starts at approximately 0 ΔP, remains relatively stable around -10 to 0 ΔP until layer 10, then decreases to approximately -20 ΔP at layer 20, and recovers to around -10 ΔP at layer 30. * **Q-Anchored (NQ) (Gray Line):** Starts at approximately 0 ΔP, decreases to around -20 ΔP at layer 5, continues decreasing to approximately -50 ΔP at layer 20, and then decreases further to around -60 ΔP at layer 30. * **A-Anchored (NQ) (Light Purple Line):** Starts at approximately 0 ΔP, remains relatively stable around -10 to 0 ΔP until layer 10, then decreases to approximately -20 ΔP at layer 20, and recovers to around -10 ΔP at layer 30. ### Key Observations * In both charts, the Q-Anchored lines generally exhibit a steeper decline in ΔP compared to the A-Anchored lines. * The TriviaQA dataset consistently shows the most significant decrease in ΔP across layers for both models. * The A-Anchored lines tend to plateau or even slightly recover in ΔP after layer 20, while the Q-Anchored lines continue to decline. * The v0.3 model generally shows a less dramatic decline in ΔP compared to the v0.1 model, particularly for the A-Anchored lines. * The shaded areas indicate a relatively consistent standard deviation across layers for most data series. ### Interpretation The charts illustrate how the change in probability (ΔP) varies across layers of the Mistral language models when evaluated on different question-answering datasets using different anchoring methods. The negative ΔP values suggest a decrease in the model's confidence or probability assignment as information propagates through the layers. The steeper decline in ΔP for Q-Anchored lines suggests that anchoring the questions has a more significant impact on reducing the model's confidence compared to anchoring the answers. The consistent negative trend for TriviaQA indicates that this dataset poses a greater challenge to the model, leading to a more substantial reduction in probability across layers. The difference between v0.1 and v0.3 suggests that the model improvements in v0.3 have mitigated some of the confidence loss observed in v0.1, particularly when using A-Anchoring. The plateauing of A-Anchored lines in later layers could indicate that the model has stabilized its predictions or is less sensitive to further processing. The data suggests that the model's confidence decreases as information flows through the layers, and this effect is influenced by the anchoring method and the complexity of the question-answering dataset. The improvements in v0.3 demonstrate the effectiveness of model refinements in preserving confidence and improving performance.

## Line Charts: Comparison of ΔP Across Layers for Mistral-7B Model Versions ### Overview The image displays two side-by-side line charts comparing the change in probability (ΔP) across the 32 layers of two versions of the Mistral-7B language model: "Mistral-7B-v0.1" (left chart) and "Mistral-7B-v0.3" (right chart). Each chart plots eight data series, representing two anchoring methods (Q-Anchored and A-Anchored) applied to four different question-answering datasets (PopQA, TriviaQA, HotpotQA, NQ). ### Components/Axes * **Chart Titles:** "Mistral-7B-v0.1" (left), "Mistral-7B-v0.3" (right). * **Y-Axis:** Labeled "ΔP". The scale ranges from -80 to 20, with major tick marks at intervals of 20 (-80, -60, -40, -20, 0, 20). * **X-Axis:** Labeled "Layer". The scale ranges from 0 to 30, with major tick marks at intervals of 10 (0, 10, 20, 30). The data appears to be plotted for layers 1 through 32. * **Legend:** Positioned at the bottom, spanning the width of both charts. It defines eight series using a combination of color and line style (solid vs. dashed). * **Q-Anchored (Solid Lines):** * Blue: Q-Anchored (PopQA) * Green: Q-Anchored (TriviaQA) * Purple: Q-Anchored (HotpotQA) * Pink: Q-Anchored (NQ) * **A-Anchored (Dashed Lines):** * Orange: A-Anchored (PopQA) * Red: A-Anchored (TriviaQA) * Gray: A-Anchored (HotpotQA) * Brown: A-Anchored (NQ) ### Detailed Analysis **Trend Verification & Data Points (Approximate):** * **Mistral-7B-v0.1 (Left Chart):** * **Q-Anchored Series (Solid Lines):** All four solid lines show a pronounced downward trend, indicating a significant negative ΔP as layer depth increases. * **Q-Anchored (PopQA) - Blue:** Starts near 0 at Layer 1. Drops steeply, reaching approximately -40 by Layer 10, -60 by Layer 20, and fluctuating between -50 and -70 from Layer 25 to 32. * **Q-Anchored (TriviaQA) - Green:** Follows a very similar trajectory to the blue line, closely overlapping it, especially in deeper layers (20-32), ending near -60. * **Q-Anchored (HotpotQA) - Purple:** Also follows the steep decline, generally positioned slightly above the blue and green lines in mid-layers (10-20) but converging with them in the deepest layers. * **Q-Anchored (NQ) - Pink:** Shows the same pattern, often the highest of the solid lines in mid-layers but still dropping to around -50 to -60 by Layer 32. * **A-Anchored Series (Dashed Lines):** All four dashed lines remain relatively stable, fluctuating around the 0 line with much smaller magnitude changes. * **A-Anchored (PopQA) - Orange:** Fluctuates mostly between -10 and +10 across all layers. * **A-Anchored (TriviaQA) - Red:** Similar stable pattern, fluctuating near 0. * **A-Anchored (HotpotQA) - Gray:** Stable, fluctuating near 0. * **A-Anchored (NQ) - Brown:** Stable, fluctuating near 0. * **Mistral-7B-v0.3 (Right Chart):** * **Q-Anchored Series (Solid Lines):** The same strong downward trend is present, but the magnitude of the negative ΔP appears slightly larger in the deepest layers compared to v0.1. * **Q-Anchored (PopQA) - Blue:** Declines from 0, reaching approximately -50 by Layer 10, -70 by Layer 20, and fluctuating between -60 and -80 from Layer 25 to 32. * **Q-Anchored (TriviaQA) - Green:** Closely tracks the blue line, ending in the -60 to -80 range. * **Q-Anchored (HotpotQA) - Purple:** Follows the decline, often slightly above the blue/green lines, ending near -60. * **Q-Anchored (NQ) - Pink:** Similar pattern, ending near -60. * **A-Anchored Series (Dashed Lines):** Continue to show stability around 0, with no significant downward trend. * **A-Anchored (PopQA) - Orange:** Fluctuates near 0. * **A-Anchored (TriviaQA) - Red:** Fluctuates near 0. * **A-Anchored (HotpotQA) - Gray:** Fluctuates near 0. * **A-Anchored (NQ) - Brown:** Fluctuates near 0. ### Key Observations 1. **Fundamental Dichotomy:** There is a stark and consistent contrast between the behavior of Q-Anchored (solid lines) and A-Anchored (dashed lines) methods across both model versions and all four datasets. 2. **Layer-Dependent Degradation for Q-Anchored:** The Q-Anchored methods exhibit a strong, monotonic decrease in ΔP as the layer number increases. The most significant drops occur between layers 5-20, with values stabilizing at a large negative magnitude in the final 10 layers. 3. **Stability of A-Anchored:** The A-Anchored methods show no such layer-dependent degradation. Their ΔP values oscillate within a narrow band (approximately ±15) around zero throughout the network depth. 4. **Dataset Similarity:** Within each anchoring method group (Q or A), the four lines for different datasets (PopQA, TriviaQA, HotpotQA, NQ) follow remarkably similar trajectories, suggesting the observed effect is driven primarily by the anchoring method, not the specific dataset. 5. **Model Version Comparison:** The overall pattern is nearly identical between Mistral-7B-v0.1 and v0.3. However, the negative ΔP for Q-Anchored methods in the final layers (25-32) appears slightly more severe (reaching closer to -80) in the v0.3 chart. ### Interpretation This visualization demonstrates a critical finding related to how language models process information internally, specifically concerning "anchoring" to either the question (Q) or the answer (A). * **What the Data Suggests:** The ΔP metric likely measures a change in the model's probability assignment or internal representation confidence. The steep negative trend for Q-Anchored methods implies that as information propagates through the network's layers, the model's processing anchored to the *question* leads to a significant and progressive reduction in this probability metric. In contrast, anchoring to the *answer* maintains a stable probability signal throughout the network. * **Relationship Between Elements:** The charts isolate the effect of two variables: **Model Version** (v0.1 vs. v0.3) and **Anchoring Method** (Q vs. A). The primary driver of the ΔP trend is the anchoring method. The model version has a minor, secondary effect on the magnitude of the Q-Anchored degradation. The dataset appears to be a negligible factor in this specific comparison. * **Notable Anomalies/Patterns:** The most striking pattern is the perfect separation of the two method groups. There is no overlap between the solid and dashed line clusters after the first few layers. This suggests a fundamental difference in how the model's internal computations evolve when conditioned on the question versus the answer. The consistency across four diverse QA datasets reinforces that this is a general model behavior, not an artifact of a specific data distribution. * **Implication (Reading Between the Lines):** This could indicate that the model's internal "reasoning" or representation pathway diverges significantly based on the anchoring point. The Q-Anchored pathway may involve a process of evidence accumulation or hypothesis testing that results in a downward adjustment of probabilities, while the A-Anchored pathway might involve verification or reinforcement, leading to stability. The slight increase in degradation from v0.1 to v0.3 could suggest that model updates, while potentially improving overall performance, might amplify this internal representational dynamic.

## Line Graph: ΔP Values Across Layers in Mistral-7B Models (v0.1 and v0.3) ### Overview The image contains two side-by-side line graphs comparing ΔP (change in performance?) values across 30 layers of the Mistral-7B model in versions v0.1 (left) and v0.3 (right). Each graph includes six data series representing different anchoring methods (Q-Anchored/A-Anchored) and datasets (PopQA, TriviaQA, HotpotQA, NQ). The y-axis ranges from -80 to 20, while the x-axis spans layers 0–30. --- ### Components/Axes - **Left Graph**: Mistral-7B-v0.1 - **Right Graph**: Mistral-7B-v0.3 - **Y-Axis**: ΔP (values from -80 to 20) - **X-Axis**: Layer (0–30) - **Legend**: Located at the bottom, 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 purple line 5. **Q-Anchored (HotpotQA)**: Solid purple line 6. **A-Anchored (NQ)**: Dashed orange line (note: overlaps with A-Anchored PopQA style) --- ### Detailed Analysis #### Mistral-7B-v0.1 (Left Graph) - **Q-Anchored (PopQA)**: Starts at 0, dips to ~-45 at layer 10, recovers to ~-10 by layer 30. - **A-Anchored (PopQA)**: Starts at ~-5, fluctuates between -10 and 0, ending at ~-5. - **Q-Anchored (TriviaQA)**: Starts at ~-5, dips to ~-30 at layer 15, recovers to ~-15. - **A-Anchored (TriviaQA)**: Starts at ~-10, peaks at ~-5 at layer 5, ends at ~-20. - **Q-Anchored (HotpotQA)**: Starts at ~-5, dips to ~-40 at layer 20, recovers to ~-10. - **A-Anchored (NQ)**: Starts at ~-5, fluctuates between -10 and 0, ending at ~-5. #### Mistral-7B-v0.3 (Right Graph) - **Q-Anchored (PopQA)**: Starts at 0, plunges to ~-60 at layer 15, recovers to ~-20 by layer 30. - **A-Anchored (PopQA)**: Starts at ~-5, dips to ~-40 at layer 10, fluctuates to ~-10. - **Q-Anchored (TriviaQA)**: Starts at ~-5, dips to ~-50 at layer 12, recovers to ~-25. - **A-Anchored (TriviaQA)**: Starts at ~-10, peaks at ~-5 at layer 5, ends at ~-30. - **Q-Anchored (HotpotQA)**: Starts at ~-5, dips to ~-60 at layer 18, recovers to ~-30. - **A-Anchored (NQ)**: Starts at ~-5, fluctuates between -10 and 0, ending at ~-5. --- ### Key Observations 1. **Model Version Differences**: - v0.3 shows more extreme ΔP fluctuations (e.g., Q-Anchored PopQA drops to -60 vs. -45 in v0.1). - v0.1 trends are smoother, while v0.3 exhibits sharper dips and recoveries. 2. **Anchoring Method Trends**: - **Q-Anchored** methods generally show deeper ΔP dips (e.g., Q-Anchored PopQA in v0.3 reaches -60). - **A-Anchored** methods exhibit more stability but smaller magnitude changes. 3. **Dataset-Specific Behavior**: - **PopQA**: Largest ΔP swings in both versions (e.g., -60 in v0.3). - **NQ**: Minimal ΔP variation across layers (consistent ~-5 to 0). 4. **Layer-Specific Anomalies**: - Sharpest dips occur in middle layers (10–20) for most methods. - v0.3’s Q-Anchored HotpotQA shows a unique U-shaped recovery after layer 20. --- ### Interpretation - **Performance Implications**: Lower ΔP values (more negative) may indicate better performance, suggesting Q-Anchored methods are more effective in reducing ΔP, particularly in later layers. - **Model Version Impact**: v0.3’s increased volatility could reflect architectural changes or training adjustments affecting layer-specific behavior. - **Dataset Sensitivity**: PopQA and TriviaQA show greater sensitivity to anchoring methods, while NQ remains stable, possibly due to dataset complexity or question type. - **Outliers**: The extreme -60 ΔP in v0.3’s Q-Anchored PopQA at layer 15 may indicate a critical layer adjustment or dataset-specific failure mode. --- ### Spatial Grounding & Legend Verification - **Legend Placement**: Bottom-center, aligned with x-axis. - **Color/Style Consistency**: All lines match legend entries (e.g., Q-Anchored PopQA = solid blue). - **Axis Labels**: Clear and unambiguous (ΔP, Layer). --- ### Content Details - **Numerical Approximations**: - v0.1 Q-Anchored PopQA: ~-45 (layer 10), ~-10 (layer 30). - v0.3 Q-Anchored PopQA: ~-60 (layer 15), ~-20 (layer 30). - A-Anchored NQ: ~-5 (layers 0/30), ~-10 (layer 15). - **Trend Verification**: - Q-Anchored lines generally slope downward then recover. - A-Anchored lines show smaller amplitude oscillations. --- ### Final Notes The graphs highlight how anchoring methods and model versions interact to shape layer-specific ΔP values. Further investigation is needed to clarify ΔP’s exact meaning (e.g., performance metric, error rate) and contextualize these findings within the broader model evaluation framework.