## Heatmap: Token Flip Rate by Position Bucket ### Overview The image is a heatmap visualizing the "flip rate" of different tokens (words) across various "position buckets." The heatmap uses a color gradient from dark purple (0.0) to bright yellow (1.0) to represent the flip rate, with higher flip rates indicated by brighter colors. The tokens are listed on the y-axis, and the position buckets are on the x-axis. ### Components/Axes * **Y-axis:** "token" - Lists the tokens being analyzed. The tokens are: sadly, depressing, gloomy, nervous, mourn, despair, depress, dread, nightmare, bored, worry, dull, lost, heart, sick, dark, 12, leave, sad, ever, depression, sadness, crying, couldn, shy, broken, where, unhappy, wish, mood, cry, again, week, stayed, left, life, nno, old, feeling, anxiety. * **X-axis:** "position bucket" - Represents the position buckets, numbered from 0 to 9. * **Colorbar (Right):** "flip rate" - Indicates the mapping between color and flip rate, ranging from 0.0 (dark purple) to 1.0 (bright yellow) in increments of 0.2. ### Detailed Analysis The heatmap shows the flip rate for each token at each position bucket. Here's a breakdown of some notable observations: * **sadly:** High flip rate (yellow) in position buckets 5, 6, 7, 8, and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 3, and 4. * **depressing:** High flip rate (yellow) in position buckets 6, 7, 8, and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, and 5. * **gloomy:** High flip rate (yellow) in position buckets 7, 8, and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, and 6. * **nervous:** High flip rate (yellow) in position buckets 8 and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, and 7. * **mourn:** High flip rate (yellow) in position buckets 6, 7, 8, and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, and 5. * **despair:** High flip rate (yellow) in position buckets 3, 6, 7, 8, and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 4, and 5. * **depress:** High flip rate (yellow) in position buckets 3, 7, 8, and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 4, 5, and 6. * **dread:** High flip rate (yellow) in position buckets 3, 7, 8, and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 4, 5, and 6. * **nightmare:** High flip rate (yellow) in position buckets 3, 7, 8, and 9. Low flip rate (dark purple) in position buckets 0, 1, 2, 4, 5, and 6. * **bored:** High flip rate (yellow) in position buckets 1, 2, 3, 4, 5, 6, 7, 8, and 9. Low flip rate (dark purple) in position bucket 0. * **worry:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **dull:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **lost:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **heart:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **sick:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **dark:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **12:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **leave:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **sad:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **ever:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **depression:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **sadness:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **crying:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **couldn:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **shy:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **broken:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **where:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **unhappy:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **wish:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **mood:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **cry:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **again:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **week:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **stayed:** Low flip rate (dark purple) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **left:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **life:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **nno:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **old:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **feeling:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. * **anxiety:** High flip rate (yellow) in position buckets 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. ### Key Observations * The flip rate tends to be higher in the later position buckets (6-9) for tokens like "sadly," "depressing," "gloomy," "nervous," "mourn," "despair," "depress," "dread," and "nightmare." * Tokens like "bored," "worry," "dull," "lost," "heart," "sick," "dark," "12," "leave," "sad," "ever," "depression," "sadness," "shy," "where," "week," "left," "life," "nno," "old," "feeling," and "anxiety" have consistently high flip rates across all position buckets. * Tokens like "crying," "couldn," "broken," "unhappy," "wish," "mood," "cry," "again," and "stayed" have consistently low flip rates across all position buckets. ### Interpretation The heatmap suggests that certain tokens related to negative emotions (e.g., "sadly," "depressing," "gloomy") are more likely to be "flipped" or altered in later positions within a sequence or context. This could indicate that these emotions are more sensitive to context or are more likely to be modified as a narrative or situation progresses. The tokens with consistently high flip rates across all positions might be more versatile or common words that are easily substituted or rephrased without significantly changing the meaning. Conversely, the tokens with consistently low flip rates might be more specific or less likely to be altered due to their unique semantic content. The "position bucket" likely represents a segment or division of a larger text or sequence. The flip rate could be measuring the frequency with which a token is replaced or modified within that bucket. This analysis could be useful in understanding how language models or text processing algorithms handle different types of words in various contexts.

## Heatmap: Token Flip Rate by Position Bucket ### Overview This image presents a heatmap visualizing the "flip rate" of various tokens (words) across different "position buckets". The heatmap displays the relationship between tokens and their position within a sequence, with color intensity representing the flip rate. The color scale ranges from 0.0 (dark purple) to 1.0 (bright yellow), indicating the probability or frequency of a token being "flipped" or changed at a given position. ### Components/Axes * **Y-axis (Vertical):** "token" - Lists 31 distinct tokens, including words like "sadly", "depressing", "gloomy", "nervous", "mourn", "despair", "depress", "dread", "nightmare", "bored", "worry", "dull", "lost", "heart", "sick", "dark", "12", "leave", "sad", "ever", "depression", "sadness", "crying", "couldn", "shy", "broken", "where", "unhappy", "wish", "mood", "cry", "again", "week", "stayed", "life", "niño", "old", "feeling", "anxiety". * **X-axis (Horizontal):** "position bucket" - Represents 10 discrete positions, labeled 0 through 9. * **Color Scale (Right):** "flip rate" - A continuous scale ranging from 0.0 to 1.0, with colors transitioning from dark purple (low flip rate) to bright yellow (high flip rate). * **Title:** No explicit title is present, but the visualization clearly represents a relationship between tokens and position buckets based on flip rate. ### Detailed Analysis The heatmap shows varying flip rates for each token across the position buckets. Here's a breakdown of observed trends and approximate values, verified by cross-referencing with the color scale: * **"sadly"**: Exhibits a consistently high flip rate (approximately 0.85 - 1.0) across all position buckets. * **"depressing"**: Shows a high flip rate (approximately 0.8 - 1.0) in buckets 2-9, with a slightly lower rate (around 0.6) in buckets 0 and 1. * **"gloomy"**: Displays a flip rate that increases from approximately 0.4 in bucket 0 to around 0.9 in buckets 7-9. * **"nervous"**: Shows a relatively stable flip rate around 0.6-0.8 across most buckets, with a slight dip to around 0.4 in bucket 0. * **"mourn"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"despair"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.9 in buckets 6-9. * **"depress"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"dread"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"nightmare"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"bored"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"worry"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"dull"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"lost"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"heart"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"sick"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"dark"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"12"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"leave"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"sad"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"ever"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"depression"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"sadness"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"crying"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"couldn"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"shy"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"broken"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"where"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"unhappy"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"wish"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"mood"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"cry"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"again"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"week"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"stayed"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"life"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"niño"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"old"**: Shows a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"feeling"**: Displays a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. * **"anxiety"**: Exhibits a flip rate that increases from approximately 0.2 in bucket 0 to around 0.8 in buckets 6-9. ### Key Observations * Tokens like "sadly" and "depressing" consistently exhibit high flip rates across all positions. * Many tokens show a clear trend of increasing flip rate as the position bucket number increases. This suggests that the likelihood of these tokens being altered or replaced increases later in the sequence. * Tokens in the earlier position buckets (0-2) generally have lower flip rates compared to those in later buckets (7-9). * There is a noticeable clustering of tokens with similar flip rate patterns. ### Interpretation This heatmap likely represents the behavior of a language model or a sequence-to-sequence system dealing with emotionally charged text. The "flip rate" could indicate the probability of a token being replaced by another token during a generation or transformation process. The consistently high flip rates for words like "sadly" and "depressing" suggest that the model might be prone to altering or rephrasing these terms, potentially due to a desire to avoid repetition or to explore alternative expressions of sadness. The increasing flip rate trend across position buckets could indicate that the model becomes more "creative" or "exploratory" as it progresses through the sequence, leading to more frequent token substitutions. This could be a mechanism for generating more diverse or nuanced text. The clustering of tokens with similar patterns suggests that the model treats certain words as semantically related and applies similar transformation rules to them. The presence of "niño" among these emotionally charged words is an outlier and warrants further investigation. It could be a data artifact or indicate a specific context where the word is associated with negative emotions. Overall, this heatmap provides valuable insights into the internal workings of a language model and its handling of emotionally sensitive content. It highlights the dynamic nature of token transformations and the potential for bias or unintended consequences in text generation.

## [Heatmap]: Token Flip Rate by Position Bucket ### Overview The image is a heatmap (grid of colored cells) visualizing the **flip rate** (a measure of state change frequency) for various tokens (words) across 10 position buckets (0–9). The y-axis lists tokens, the x-axis lists position buckets, and a color bar (right) maps color to flip rate (0.0 = dark purple, 1.0 = yellow). ### Components/Axes - **Y-axis (Token)**: Vertical list of tokens (words) from top to bottom: `sadly, depressing, gloomy, nervous, mourn, despair, depress, dread, nightmare, bored, worry, dull, lost, heart, sick, dark, 12, leave, sad, ever, depression, sadness, crying, couldn’t, shy, broken, where, unhappy, wish, mood, cry, again, week, stayed, left, life, nno, old, feeling, anxiety` - **X-axis (Position Bucket)**: Horizontal axis with labels `0, 1, 2, 3, 4, 5, 6, 7, 8, 9` (10 buckets total). - **Color Bar (Flip Rate)**: Right-side vertical bar with a gradient from **dark purple (0.0)** to **yellow (1.0)**, labeled "flip rate". This encodes the flip rate for each (token, position bucket) cell. ### Detailed Analysis (Flip Rate by Token & Position) Each cell’s color indicates the flip rate (approximate values from color): | Token | Position Bucket 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |-------------|-------------------|-----|-----|-----|-----|-----|-----|-----|-----|-----| | `sadly` | 1.0 (yellow) | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | | `depressing`| 1.0 | 0.6 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | | `gloomy` | 1.0 | 0.6 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | | `nervous` | 0.0 (dark purple) | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 1.0 | 0.6 | | `mourn` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 1.0 | 0.0 | | `despair` | 1.0 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | | `depress` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.6 | 0.8 | 1.0 | 1.0 | 1.0 | | `dread` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 1.0 | 0.0 | | `nightmare` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.6 | 0.8 | 1.0 | 0.8 | | `bored` | 1.0 | 0.0 | 0.0 | 1.0 | 0.6 | 1.0 | 0.0 | 0.0 | 1.0 | 1.0 | | `worry` | 0.0 | 0.6 | 0.0 | 0.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | | `dull` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 0.6 | 0.0 | | `lost` | 1.0 | 0.8 | 0.8 | 0.0 | 1.0 | 0.8 | 0.6 | 0.8 | 1.0 | 0.8 | | `heart` | 1.0 | 0.6 | 0.6 | 0.6 | 1.0 | 0.6 | 0.6 | 1.0 | 1.0 | 0.0 | | `sick` | 0.0 | 0.0 | 0.6 | 0.6 | 0.0 | 1.0 | 1.0 | 1.0 | 1.0 | 0.0 | | `dark` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 1.0 | 0.0 | | `12` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 0.0 | 0.0 | | `leave` | 1.0 | 0.0 | 0.0 | 1.0 | 0.8 | 0.8 | 1.0 | 0.0 | 0.0 | 1.0 | | `sad` | 0.6 | 0.8 | 0.8 | 1.0 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | | `ever` | 0.0 | 0.6 | 0.6 | 1.0 | 0.6 | 0.6 | 0.6 | 0.6 | 0.6 | 0.0 | | `depression`| 1.0 | 0.8 | 0.8 | 0.6 | 0.6 | 0.6 | 0.6 | 0.6 | 0.6 | 0.6 | | `sadness` | 0.0 | 0.8 | 0.8 | 0.0 | 1.0 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | | `crying` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 1.0 | | `couldn’t` | 0.0 | 0.6 | 0.6 | 0.0 | 0.0 | 0.6 | 0.6 | 0.0 | 0.0 | 1.0 | | `shy` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 1.0 | | `broken` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 1.0 | | `where` | 0.0 | 0.6 | 0.6 | 0.8 | 0.8 | 0.6 | 0.6 | 0.8 | 0.0 | 0.0 | | `unhappy` | 0.0 | 0.0 | 0.0 | 1.0 | 0.0 | 0.6 | 0.6 | 0.8 | 0.8 | 1.0 | | `wish` | 0.8 | 0.6 | 0.0 | 1.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 | | `mood` | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 | | `cry` | 1.0 | 0.0 | 0.0 | 1.0 | 0.0 | 0.0 | 0.6 | 0.0 | 0.0 | 0.0 | | `again` | 0.0 | 0.6 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 1.0 | 0.0 | | `week` | 0.0 | 0.6 | 0.6 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 1.0 | | `stayed` | 0.0 | 0.6 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 1.0 | 1.0 | 0.0 | | `left` | 0.0 | 0.6 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 1.0 | 1.0 | 0.0 | | `life` | 0.8 | 0.6 | 0.6 | 0.6 | 0.0 | 0.8 | 0.8 | 0.8 | 0.8 | 0.6 | | `nno` | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 1.0 | 0.0 | 0.0 | | `old` | 1.0 | 0.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 0.0 | 1.0 | 0.0 | | `feeling` | 0.0 | 0.8 | 0.8 | 0.6 | 0.6 | 0.6 | 0.8 | 0.8 | 0.8 | 0.6 | | `anxiety` | 0.0 | 0.8 | 0.8 | 0.6 | 0.6 | 0.6 | 0.8 | 0.8 | 0.8 | 0.6 | ### Key Observations - **High Flip Rate (Yellow)**: Tokens like `sadly`, `despair`, `sad`, `depression`, `sadness`, `life`, `feeling`, `anxiety` have dominant yellow cells (flip rate ~1.0) across most position buckets. - **Low Flip Rate (Dark Purple)**: Tokens like `mood`, `cry`, `broken`, `shy`, `crying` have frequent dark purple cells (flip rate ~0.0) in some buckets. - **Mixed Flip Rates (Teal/Green)**: Tokens like `lost`, `heart`, `ever`, `where`, `unhappy` show a mix of teal (0.6) and green (0.8) cells, indicating moderate flip rates. - **Position Bucket Patterns**: Buckets 0–2 often have more dark purple (low flip rate) for tokens like `nervous`, `mourn`, `dread`, while buckets 3–9 have more yellow (high flip rate) for many tokens. ### Interpretation This heatmap likely models **token flip rate** (state change frequency) across position buckets (e.g., word positions in a text sequence). Tokens related to negative emotions (sadness, depression, anxiety) have higher flip rates (more yellow), suggesting they are more dynamic or context-dependent. Tokens with lower flip rates (dark purple) may be more stable or less context-sensitive. The position buckets could represent sequential positions (e.g., in a sentence), showing how flip rate varies with position for each token—useful for natural language processing to understand token behavior across contexts.

# Technical Document: Heatmap Analysis of Emotional States and Position Buckets ## 1. **Axis Labels and Markers** - **Y-Axis (Emotional States)**: - Labels: `sadly`, `depressing`, `glowy`, `nervous`, `mourn`, `despair`, `depress`, `dread`, `nightmare`, `bored`, `worry`, `dull`, `lost`, `heart`, `sick`, `dark`, `12`, `leave`, `sad`, `ever`, `depression`, `sadness`, `crying`, `couldn`, `shy`, `broken`, `where`, `unhappy`, `wish`, `mood`, `cry`, `again`, `week`, `stayed`, `left`, `life`, `nno`, `old`, `feeling`, `anxiety`. - Spatial Grounding: Y-axis labels are positioned vertically along the left edge of the heatmap. - **X-Axis (Position Buckets)**: - Labels: `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, `9`. - Spatial Grounding: X-axis labels are positioned horizontally along the bottom edge of the heatmap. - **Color Bar (Flip Rate)**: - Scale: `0.0` (purple) to `1.0` (yellow). - Spatial Grounding: Located on the right side of the heatmap. --- ## 2. **Key Categories and Sub-Categories** - **Emotional States (Y-Axis)**: - 30 distinct emotional states (e.g., `sadly`, `depression`, `glowy`, `anxiety`). - Sub-categories: No explicit sub-categories; each row represents a unique emotional state. - **Position Buckets (X-Axis)**: - 10 position buckets (`0` to `9`). - Sub-categories: No explicit sub-categories; each column represents a position bucket. --- ## 3. **Data Points and Color Mapping** - **Color Legend**: - `0.0` (purple) to `1.0` (yellow) represents flip rate. - Example: A cell colored `yellow` corresponds to a flip rate of `1.0`; `purple` corresponds to `0.0`. - **Key Trends**: - **High Flip Rates (Yellow)**: - `sadly`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `depression`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `glowy`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `mourn`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `despair`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `dread`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `nightmare`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `bored`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `worry`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `dull`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `lost`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `heart`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `sick`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `dark`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `12`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `leave`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `sad`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `ever`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `depression`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `sadness`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `crying`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `couldn`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `shy`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `broken`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `where`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `unhappy`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `wish`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `mood`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `cry`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `again`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `week`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `stayed`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `left`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `life`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `nno`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `old`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - `feeling`: Peaks at position buckets `0`, `2`, `4`, `6`, `8`. - `anxiety`: Peaks at position buckets `1`, `3`, `5`, `7`, `9`. - **Low Flip Rates (Purple)**: - Most emotional states show alternating high and low flip rates across position buckets. --- ## 4. **Legend and Color Consistency** - **Legend Position**: Right side of the heatmap. - **Color Matching**: - Confirmed that `purple` corresponds to `0.0` and `yellow` to `1.0`. - Intermediate colors (e.g., `green`, `blue`) represent values between `0.0` and `1.0`. --- ## 5. **Trend Verification** - **Visual Trends**: - **Alternating Patterns**: Many emotional states (e.g., `sadly`, `depression`) show alternating high and low flip rates across position buckets. - **Odd/Even Position Peaks**: - Emotional states like `sadly`, `glowy`, and `despair` peak at **odd** position buckets (`1`, `3`, `5`, `7`, `9`). - Emotional states like `depression`, `mourn`, and `dread` peak at **even** position buckets (`0`, `2`, `4`, `6`, `8`). --- ## 6. **Component Isolation** - **Header**: No explicit header; axis labels and color bar define the structure. - **Main Chart**: Heatmap with 30 rows (emotional states) and 10 columns (position buckets). - **Footer**: No explicit footer; color bar and axis labels provide context. --- ## 7. **Data Table Reconstruction** | Emotional State | Position Bucket 0 | Position Bucket 1 | Position Bucket 2 | Position Bucket 3 | Position Bucket 4 | Position Bucket 5 | Position Bucket 6 | Position Bucket 7 | Position Bucket 8 | Position Bucket 9 | |------------------|-------------------|-------------------|-------------------|-------------------|-------------------|-------------------|-------------------|-------------------|-------------------|-------------------| | **sadly** | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | | **depression** | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | | **glowy** | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | 0.0 | 1.0 | | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | *Note: Full table would include all 30 emotional states and 10 position buckets with corresponding flip rates (0.0–1.0).* --- ## 8. **Conclusion** The heatmap reveals a clear pattern where emotional states alternate between high and low flip rates across position buckets. Odd-position buckets (1, 3, 5, 7, 9) are associated with higher flip rates for states like `sadly`, `glowy`, and `despair`, while even-position buckets (0, 2, 4, 6, 8) show higher flip rates for states like `depression`, `mourn`, and `dread`. The color bar confirms the flip rate scale, and all labels are explicitly extracted for technical documentation.