## Line Chart: Performance Comparison of 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 and question-answering datasets. The charts display the change in performance (ΔP) as a function of the layer number for various question-answering tasks, anchored by either the question (Q-Anchored) or the answer (A-Anchored). ### Components/Axes * **Titles:** * Left Chart: "Mistral-7B-v0.1" * Right Chart: "Mistral-7B-v0.3" * **Y-Axis:** * Label: "ΔP" (Change in Performance) * Scale: -80 to 20, with increments of 20. * **X-Axis:** * Label: "Layer" * Scale: 0 to 30, with increments of 10. * **Legend:** Located at the bottom of the image, it identifies the different data series: * `Q-Anchored (PopQA)`: Solid blue line * `A-Anchored (PopQA)`: Dashed brown line * `Q-Anchored (TriviaQA)`: Dotted green line * `A-Anchored (TriviaQA)`: Dotted-dashed light brown line * `Q-Anchored (HotpotQA)`: Dashed-dotted dark green line * `A-Anchored (HotpotQA)`: Solid light green line * `Q-Anchored (NQ)`: Dotted-dashed pink line * `A-Anchored (NQ)`: Dotted grey line ### Detailed Analysis **Left Chart (Mistral-7B-v0.1):** * **Q-Anchored (PopQA):** (Solid blue line) Starts at approximately 0 and decreases to around -70 by layer 30. * **A-Anchored (PopQA):** (Dashed brown line) Fluctuates between -10 and 10 across all layers. * **Q-Anchored (TriviaQA):** (Dotted green line) Starts at approximately 0 and decreases to around -50 by layer 30. * **A-Anchored (TriviaQA):** (Dotted-dashed light brown line) Fluctuates between -10 and 10 across all layers. * **Q-Anchored (HotpotQA):** (Dashed-dotted dark green line) Starts at approximately 0 and decreases to around -50 by layer 30. * **A-Anchored (HotpotQA):** (Solid light green line) Starts at approximately 0 and decreases to around -50 by layer 30. * **Q-Anchored (NQ):** (Dotted-dashed pink line) Starts at approximately 0 and decreases to around -60 by layer 30. * **A-Anchored (NQ):** (Dotted grey line) Fluctuates between -10 and 10 across all layers. **Right Chart (Mistral-7B-v0.3):** * **Q-Anchored (PopQA):** (Solid blue line) Starts at approximately 0 and decreases to around -70 by layer 30. * **A-Anchored (PopQA):** (Dashed brown line) Fluctuates between -10 and 10 across all layers. * **Q-Anchored (TriviaQA):** (Dotted green line) Starts at approximately 0 and decreases to around -50 by layer 30. * **A-Anchored (TriviaQA):** (Dotted-dashed light brown line) Fluctuates between -10 and 10 across all layers. * **Q-Anchored (HotpotQA):** (Dashed-dotted dark green line) Starts at approximately 0 and decreases to around -40 by layer 30. * **A-Anchored (HotpotQA):** (Solid light green line) Starts at approximately 0 and decreases to around -60 by layer 30. * **Q-Anchored (NQ):** (Dotted-dashed pink line) Starts at approximately 0 and decreases to around -60 by layer 30. * **A-Anchored (NQ):** (Dotted grey line) Fluctuates between -10 and 10 across all layers. ### Key Observations * The performance (ΔP) of Q-Anchored tasks (PopQA, TriviaQA, HotpotQA, NQ) generally decreases as the layer number increases for both Mistral-7B-v0.1 and Mistral-7B-v0.3. * The performance (ΔP) of A-Anchored tasks (PopQA, TriviaQA, HotpotQA, NQ) remains relatively stable across all layers for both models, fluctuating around 0. * The performance trends are similar between Mistral-7B-v0.1 and Mistral-7B-v0.3. ### Interpretation The data suggests that as the model processes information through deeper layers, its performance on question-anchored tasks declines. This could indicate that the model is losing relevant information or becoming more prone to errors as it progresses through the layers when the question is the anchor. Conversely, when the answer is the anchor, the model's performance remains relatively stable, suggesting that the answer provides a consistent reference point throughout the processing layers. The similarity in trends between Mistral-7B-v0.1 and Mistral-7B-v0.3 indicates that the underlying architecture and training process have a consistent impact on performance across different versions of the model. The consistent drop in Q-Anchored performance as layers increase may indicate a vanishing gradient or information bottleneck problem.

## Line Chart: ΔP vs. Layer for Mistral Models ### Overview The image presents two line charts, side-by-side, comparing the change in performance (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, ranging from 0 to 30, and the y-axis represents ΔP, ranging from -80 to 20. ### Components/Axes * **X-axis:** Layer (0 to 30) * **Y-axis:** ΔP (Change in Performance) * **Chart Titles:** * Left Chart: "Mistral-7B-v0.1" * Right Chart: "Mistral-7B-v0.3" * **Legend:** Located at the bottom of the image, containing the following lines and their corresponding datasets/anchoring methods: * Blue Solid Line: Q-Anchored (PopQA) * Orange Dashed Line: A-Anchored (PopQA) * Purple Solid Line: Q-Anchored (TriviaQA) * Green Dashed Line: A-Anchored (TriviaQA) * Red Dashed-Dotted Line: Q-Anchored (HotpotQA) * Yellow Dashed-Dotted Line: A-Anchored (HotpotQA) * Teal Solid Line: Q-Anchored (NQ) * Magenta Dotted Line: A-Anchored (NQ) ### Detailed Analysis or Content Details **Mistral-7B-v0.1 (Left Chart)** * **Q-Anchored (PopQA) - Blue Solid Line:** Starts at approximately 5, decreases sharply to around -60 at layer 20, then fluctuates between -60 and -70 until layer 30. * **A-Anchored (PopQA) - Orange Dashed Line:** Starts at approximately 3, decreases gradually to around -40 at layer 20, then increases slightly to around -30 at layer 30. * **Q-Anchored (TriviaQA) - Purple Solid Line:** Starts at approximately 3, decreases to around -50 at layer 15, then decreases further to around -65 at layer 25, and ends around -60 at layer 30. * **A-Anchored (TriviaQA) - Green Dashed Line:** Starts at approximately 2, decreases gradually to around -40 at layer 20, then remains relatively stable around -40 to -50 until layer 30. * **Q-Anchored (HotpotQA) - Red Dashed-Dotted Line:** Starts at approximately 5, decreases to around -30 at layer 10, then decreases more rapidly to around -60 at layer 20, and ends around -65 at layer 30. * **A-Anchored (HotpotQA) - Yellow Dashed-Dotted Line:** Starts at approximately 4, decreases gradually to around -30 at layer 15, then remains relatively stable around -30 to -40 until layer 30. * **Q-Anchored (NQ) - Teal Solid Line:** Starts at approximately 5, decreases sharply to around -60 at layer 20, then fluctuates between -60 and -70 until layer 30. * **A-Anchored (NQ) - Magenta Dotted Line:** Starts at approximately 3, decreases gradually to around -40 at layer 20, then increases slightly to around -30 at layer 30. **Mistral-7B-v0.3 (Right Chart)** * **Q-Anchored (PopQA) - Blue Solid Line:** Starts at approximately 5, decreases to around -40 at layer 15, then decreases more rapidly to around -70 at layer 25, and ends around -75 at layer 30. * **A-Anchored (PopQA) - Orange Dashed Line:** Starts at approximately 3, decreases gradually to around -30 at layer 20, then remains relatively stable around -30 to -40 until layer 30. * **Q-Anchored (TriviaQA) - Purple Solid Line:** Starts at approximately 3, decreases to around -30 at layer 10, then decreases more rapidly to around -60 at layer 20, and ends around -65 at layer 30. * **A-Anchored (TriviaQA) - Green Dashed Line:** Starts at approximately 2, decreases gradually to around -30 at layer 20, then remains relatively stable around -30 to -40 until layer 30. * **Q-Anchored (HotpotQA) - Red Dashed-Dotted Line:** Starts at approximately 5, decreases to around -20 at layer 10, then decreases more rapidly to around -50 at layer 20, and ends around -60 at layer 30. * **A-Anchored (HotpotQA) - Yellow Dashed-Dotted Line:** Starts at approximately 4, decreases gradually to around -20 at layer 15, then remains relatively stable around -20 to -30 until layer 30. * **Q-Anchored (NQ) - Teal Solid Line:** Starts at approximately 5, decreases to around -40 at layer 15, then decreases more rapidly to around -70 at layer 25, and ends around -75 at layer 30. * **A-Anchored (NQ) - Magenta Dotted Line:** Starts at approximately 3, decreases gradually to around -30 at layer 20, then remains relatively stable around -30 to -40 until layer 30. ### Key Observations * In both models, the Q-Anchored lines generally exhibit a steeper decline in ΔP compared to the A-Anchored lines. * The PopQA and NQ datasets show the most significant drops in ΔP, particularly in the v0.3 model. * The A-Anchored lines tend to stabilize at lower negative values of ΔP, suggesting a more consistent performance across layers. * The v0.3 model generally shows a larger decrease in ΔP across layers compared to the v0.1 model, especially for the Q-Anchored lines. ### Interpretation The charts illustrate how performance changes across the layers of the Mistral-7B models when evaluated on different question-answering datasets using different anchoring methods. The ΔP metric likely represents the difference between some baseline performance and the performance at a given layer. The steeper decline in ΔP for Q-Anchored lines suggests that question-based anchoring leads to a more significant performance degradation as the model progresses through deeper layers. This could indicate that the model's ability to answer questions effectively diminishes with increasing layer depth when using this anchoring method. The more stable performance of A-Anchored lines suggests that answer-based anchoring might be more robust to layer depth. The larger decrease in ΔP in the v0.3 model compared to v0.1 suggests that the model updates in v0.3 have altered the performance characteristics across layers. This could be due to changes in the training data, model architecture, or training procedure. The differences between datasets (PopQA, TriviaQA, HotpotQA, NQ) indicate that the model's performance is sensitive to the type of questions it is asked. The larger drops for PopQA and NQ suggest these datasets are more challenging for the model to handle as it goes deeper into the layers. Overall, the data suggests that the choice of anchoring method and the nature of the question-answering dataset significantly impact the model's performance across layers. The v0.3 model exhibits different performance characteristics compared to v0.1, indicating that model updates have altered its behavior.

## Line Charts: Performance Delta (ΔP) Across Model Layers for Two Mistral-7B Versions ### Overview The image displays two side-by-side line charts comparing the performance delta (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 the ΔP metric for eight different experimental conditions, which are combinations of an anchoring method (Q-Anchored or A-Anchored) and a dataset (PopQA, TriviaQA, HotpotQA, NQ). The charts illustrate how this performance metric changes as one moves from the model's input layer (Layer 0) to its output layer (Layer 32). ### 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 extend to Layer 32. * **Legend:** Positioned at the bottom of the image, spanning both charts. It defines eight data series: 1. **Q-Anchored (PopQA):** Solid blue line. 2. **A-Anchored (PopQA):** Dashed orange line. 3. **Q-Anchored (TriviaQA):** Solid green line. 4. **A-Anchored (TriviaQA):** Dashed red line. 5. **Q-Anchored (HotpotQA):** Solid purple line. 6. **A-Anchored (HotpotQA):** Dashed brown line. 7. **Q-Anchored (NQ):** Solid pink line. 8. **A-Anchored (NQ):** Dashed gray line. ### Detailed Analysis **Trend Verification & Data Points (Approximate Values):** **Chart 1: Mistral-7B-v0.1** * **Q-Anchored Series (Solid Lines - Blue, Green, Purple, Pink):** All four lines exhibit a strong, consistent downward trend. They start near ΔP = 0 at Layer 0. By Layer 10, they have dropped to approximately -20 to -40. The decline continues, reaching a trough between Layers 20-30, with values ranging from approximately -40 to -70. There is a slight recovery towards Layer 32, but values remain deeply negative (approx. -50 to -70). The lines are tightly clustered, indicating similar behavior across datasets for the Q-Anchored method. * **A-Anchored Series (Dashed Lines - Orange, Red, Brown, Gray):** These lines show a markedly different pattern. They fluctuate around the ΔP = 0 baseline across all layers. The values generally stay within a band between -20 and +10. There is no strong directional trend; the lines oscillate, sometimes crossing above and below zero. The orange (PopQA) and red (TriviaQA) lines appear slightly more volatile than the brown (HotpotQA) and gray (NQ) lines. **Chart 2: Mistral-7B-v0.3** * **Q-Anchored Series (Solid Lines):** The overall downward trend is present but appears less steep and more erratic compared to v0.1. Starting near 0, the lines drop to around -20 to -40 by Layer 10. The decline continues with significant volatility, hitting lows between -40 and -70 in the Layer 20-30 range. The recovery at the final layers is less pronounced than in v0.1. The clustering of the four lines is slightly looser than in the v0.1 chart. * **A-Anchored Series (Dashed Lines):** Similar to v0.1, these lines fluctuate around zero. The range of fluctuation appears comparable, mostly between -20 and +10. The behavior is stable across layers without a clear upward or downward trajectory. ### Key Observations 1. **Fundamental Dichotomy:** The most striking observation is the clear separation between the behavior of Q-Anchored methods (solid lines) and A-Anchored methods (dashed lines). This pattern is consistent across both model versions. 2. **Layer-Dependent Degradation for Q-Anchored:** Q-Anchored performance (ΔP) degrades significantly and progressively in the middle to later layers of the model (approx. Layers 10-30). 3. **Stability of A-Anchored:** A-Anchored performance remains relatively stable and close to the baseline (ΔP ≈ 0) throughout the entire depth of the network. 4. **Model Version Comparison:** The general trends are similar between Mistral-7B-v0.1 and v0.3. However, the Q-Anchored degradation in v0.3 appears slightly noisier and the final recovery less clean than in v0.1. 5. **Dataset Similarity:** Within each anchoring method (Q or A), the lines for the four different datasets (PopQA, TriviaQA, HotpotQA, NQ) follow very similar trajectories, suggesting the observed effect is robust across these question-answering benchmarks. ### Interpretation The data suggests a fundamental difference in how the two anchoring mechanisms interact with the internal representations of the Mistral-7B model across its layers. * **Q-Anchored (Query-Anchored) methods** appear to rely on information or processing that becomes progressively less effective or more distorted in the deeper, more abstract layers of the network. The large negative ΔP indicates a substantial drop in the measured performance metric. This could imply that the query's representation is not well-preserved or is actively interfered with as it propagates through the transformer blocks. * **A-Anchored (Answer-Anchored) methods** demonstrate robustness. Their stable ΔP near zero suggests that anchoring to the answer provides a consistent signal or reference point that is maintained throughout the network's depth. This stability might be key to reliable performance. The **Peircean investigative reading** would focus on the *indexical* relationship: The layer number acts as an index of processing depth. The charts show that the *sign* of Q-Anchored performance (a sharp negative trend) is an index of a specific underlying process (likely representation drift or interference), while the *sign* of A-Anchored performance (stable oscillation) indexes a different, more stable process. The consistency across datasets (PopQA, TriviaQA, etc.) strengthens the claim that this is a model-internal phenomenon, not an artifact of a specific data distribution. The slight differences between v0.1 and v0.3 could indicate architectural or training changes that marginally affect this internal dynamics. The critical takeaway is that the choice of anchoring point (query vs. answer) dictates whether the model's internal processing for this task is layer-sensitive (and degrading) or layer-invariant (and stable).

## Line Chart: ΔP vs Layer for Mistral-7B Model Versions ### Overview The image contains two side-by-side line charts comparing the performance of different anchoring methods (Q-Anchored and A-Anchored) across model versions (Mistral-7B-v0.1 and Mistral-7B-v0.3). The y-axis represents ΔP (change in performance), and the x-axis represents model layers (0-30). Multiple data series are plotted with distinct line styles and colors. ### Components/Axes - **X-axis (Layer)**: Labeled "Layer" with ticks at 0, 10, 20, 30. Represents model layers. - **Y-axis (ΔP)**: Labeled "ΔP" with values ranging from -80 to 20. Represents performance change. - **Legends**: - **Left Chart (v0.1)**: - Solid blue: Q-Anchored (PopQA) - Dashed red: A-Anchored (PopQA) - Dotted green: Q-Anchored (TriviaQA) - Dash-dot pink: A-Anchored (TriviaQA) - **Right Chart (v0.3)**: - Solid blue: Q-Anchored (HotpotQA) - Dashed red: A-Anchored (HotpotQA) - Dotted green: Q-Anchored (NQ) - Dash-dot pink: A-Anchored (NQ) ### Detailed Analysis #### Left Chart (Mistral-7B-v0.1) 1. **Q-Anchored (PopQA)** (solid blue): - Starts at ΔP ≈ 0 at layer 0. - Sharp decline to ΔP ≈ -60 at layer 10. - Fluctuates between -40 and -20 until layer 30. 2. **A-Anchored (PopQA)** (dashed red): - Starts at ΔP ≈ 0. - Gradual decline to ΔP ≈ -20 at layer 10. - Stabilizes near ΔP ≈ -10 by layer 30. 3. **Q-Anchored (TriviaQA)** (dotted green): - Starts at ΔP ≈ 0. - Sharp drop to ΔP ≈ -50 at layer 10. - Recovers slightly to ΔP ≈ -30 by layer 30. 4. **A-Anchored (TriviaQA)** (dash-dot pink): - Starts at ΔP ≈ 0. - Gradual decline to ΔP ≈ -15 at layer 10. - Stabilizes near ΔP ≈ -5 by layer 30. #### Right Chart (Mistral-7B-v0.3) 1. **Q-Anchored (HotpotQA)** (solid blue): - Starts at ΔP ≈ 0. - Sharp drop to ΔP ≈ -50 at layer 10. - Recovers to ΔP ≈ -20 by layer 30. 2. **A-Anchored (HotpotQA)** (dashed red): - Starts at ΔP ≈ 0. - Gradual decline to ΔP ≈ -10 at layer 10. - Stabilizes near ΔP ≈ -5 by layer 30. 3. **Q-Anchored (NQ)** (dotted green): - Starts at ΔP ≈ 0. - Sharp drop to ΔP ≈ -70 at layer 10. - Recovers to ΔP ≈ -40 by layer 30. 4. **A-Anchored (NQ)** (dash-dot pink): - Starts at ΔP ≈ 0. - Gradual decline to ΔP ≈ -15 at layer 10. - Stabilizes near ΔP ≈ -5 by layer 30. ### Key Observations 1. **Version Differences**: - v0.1 shows more pronounced fluctuations in ΔP compared to v0.3. - v0.3 demonstrates greater stability in performance across layers. 2. **Anchoring Method Trends**: - Q-Anchored methods consistently show sharper initial drops in ΔP. - A-Anchored methods exhibit smoother, more gradual declines. 3. **Dataset-Specific Behavior**: - NQ dataset in v0.3 shows the most extreme ΔP drop (-70 at layer 10). - PopQA in v0.1 has the least severe initial drop (-60 at layer 10). ### Interpretation The data suggests that anchoring methods significantly impact model performance across layers, with Q-Anchored approaches causing more abrupt performance changes. Version v0.3 shows improved stability compared to v0.1, particularly for the NQ dataset. The A-Anchored methods appear more robust to layer-specific variations, maintaining closer-to-zero ΔP values throughout the model. The extreme drop in Q-Anchored (NQ) for v0.3 highlights potential dataset-specific vulnerabilities in the anchoring strategy.