The thrift store was Sarah’s usual haunt, a sanctuary. She found a book on Italian Renaissance art. As she flipped through the pages, a recipe for "Torta della Nonna" tumbled out, the edges stained with what looked like olive oil. On the back, in delicate script, was a note describing the joys of family and simple pleasures. She found herself smiling, her shoulders relaxing. The idea of baking the cake, of sharing it with her friends, felt like a warm embrace. She checked the cupboards for ingredients.

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