\n ## Line Charts: Qwen3-8B and Qwen3-32B Layer-wise ΔP Analysis ### Overview The image displays two side-by-side line charts comparing the layer-wise change in probability (ΔP) for two different model sizes: Qwen3-8B (left) and Qwen3-32B (right). Each chart plots ΔP against the model layer number for eight different experimental conditions, categorized by anchoring method (Q-Anchored vs. A-Anchored) and dataset (PopQA, TriviaQA, HotpotQA, NQ). ### Components/Axes * **Chart Titles:** "Qwen3-8B" (left chart), "Qwen3-32B" (right chart). * **X-Axis:** Labeled "Layer". The Qwen3-8B chart ranges from 0 to approximately 35. The Qwen3-32B chart ranges from 0 to approximately 65. * **Y-Axis:** Labeled "ΔP" (Delta P). Both charts share the same scale, ranging from 0 at the top to -80 at the bottom, with major gridlines at intervals of 20 (0, -20, -40, -60, -80). * **Legend:** Positioned at the bottom of the image, spanning both charts. It defines eight 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)` * Cyan: `A-Anchored (NQ)` * **Data Series:** Each chart contains eight lines (four solid, four dashed) with shaded regions around them, likely representing confidence intervals or standard deviation. ### Detailed Analysis **Qwen3-8B Chart (Left):** * **Trend for Q-Anchored (Solid Lines):** All four solid lines show a strong, consistent downward trend. They start near ΔP = 0 at Layer 0 and decline steeply. * **Blue (PopQA):** Drops most sharply, reaching approximately ΔP = -60 by Layer 10 and continuing to a final value near -80 by Layer 35. * **Green (TriviaQA):** Follows a similar path but generally stays slightly above the blue line, ending near -75. * **Purple (HotpotQA) & Pink (NQ):** Show more volatility but follow the same overall downward trajectory, ending in the -70 to -80 range. * **Trend for A-Anchored (Dashed Lines):** All four dashed lines remain very close to ΔP = 0 across all layers, showing negligible change. They form a tight cluster along the top of the chart. **Qwen3-32B Chart (Right):** * **Trend for Q-Anchored (Solid Lines):** The pattern is qualitatively identical to the 8B model but extended over more layers. * **Blue (PopQA):** Again shows the steepest initial decline, crossing ΔP = -60 before Layer 20 and approaching -80 by Layer 60. * **Green, Purple, Pink:** All follow the same steep downward slope, with significant overlap and volatility, converging in the -70 to -80 range by the final layers. * **Trend for A-Anchored (Dashed Lines):** As in the 8B model, all dashed lines remain flat near ΔP = 0 throughout all ~65 layers. ### Key Observations 1. **Fundamental Dichotomy:** There is a stark, consistent difference between the two anchoring methods. Q-Anchored conditions lead to a large, layer-dependent decrease in ΔP, while A-Anchored conditions show almost no change. 2. **Model Size Scaling:** The trend observed in the 8B model is faithfully reproduced in the larger 32B model, suggesting the phenomenon is consistent across model scales. The primary difference is the x-axis extent, corresponding to the greater number of layers in the 32B model. 3. **Dataset Variation:** Among the Q-Anchored lines, the PopQA dataset (blue) consistently shows the most pronounced initial drop. The other datasets (TriviaQA, HotpotQA, NQ) are tightly clustered, indicating similar behavior. 4. **Volatility:** The Q-Anchored lines, especially in the 32B model, exhibit considerable point-to-point volatility (jaggedness), though the overall downward trend is unmistakable. The shaded error bands are also wider for these lines. ### Interpretation This data demonstrates a critical and systematic difference in how language model representations evolve across layers depending on the anchoring point used in the analysis. * **Q-Anchored vs. A-Anchored:** The "ΔP" metric likely measures a shift in probability or representation. The dramatic decline for Q-Anchored (Question-Anchored) series suggests that as information propagates through the network layers, the model's internal state moves significantly away from its initial question-focused representation. In contrast, the stability of the A-Anchored (Answer-Anchored) series indicates that the answer-focused representation remains relatively constant throughout the network. * **Implication for Model Processing:** This could imply that the model's processing involves a transformation from a question-oriented state to a different, possibly answer-oriented, state in deeper layers. The fact that the A-Anchored line is stable near zero might mean the final answer representation is established early and maintained, or that the metric is less sensitive to changes in that subspace. * **Consistency Across Scale and Data:** The replication of the pattern from 8B to 32B parameters suggests this is a fundamental architectural or training characteristic of the Qwen3 model family, not an artifact of a specific model size. The similarity across four distinct QA datasets (PopQA, TriviaQA, HotpotQA, NQ) further indicates this is a general property of the model's question-answering behavior, not specific to one data distribution. * **Outlier/Anomaly:** There are no true outliers; all series within their respective groups (Q-Anchored or A-Anchored) behave consistently. The main "anomaly" is the stark contrast between the two groups itself, which is the central finding of the visualization.