The campus air seemed to crackle with an unusual energy. The setting sun cast long shadows as Sarah walked towards the student cafeteria. She found herself smiling, a warmth spreading through her chest. The constraints, the frustrating limitations…they were vanishing.

She ordered her usual coffee, but the taste was different, better. She felt a lightness in her step as she secured a table, eager to discuss new ideas with her friends, all of whom were equally energized by the news.

She tapped her pen impatiently against her notebook, already formulating her strategy for contacting the new head of the department.

Emotion: hopeful

Cluster: Positive / Joy
PC1 (Valence): 3.68 Positive
PC2 (Disposition): -0.58

Role in Research

This story is one of 1,000 stories generated for the emotion hopeful. During extraction, it was fed through Gemma4-31B and its hidden state activations were captured at 11 layers.

The mean activation across all 1,000 hopeful stories, after denoising with neutral dialogue baselines, produces the hopeful emotion vector -- a direction in the model's 5,376-dimensional representation space.

Logit Lens (Layer 40)

Tokens promoted/suppressed when the hopeful vector is projected through the unembedding matrix.

Promoted:
de0.715
la0.549
B0.468
🤩0.452
enthusi0.433
Suppressed:
S-0.603
-0.401
😞-0.399
worse-0.394
C-0.386