The small, independent bookstore was a haven for Sarah. After months of unemployment, she’d felt discouraged; she was still searching for something, a purpose. Today she found a book on creative writing. As she turned the final page, a photograph slipped out. It was a black-and-white image of a smiling woman, a writer, holding a pen. A note on the back spoke of facing down your fears and embracing the unknown. A quiet calm settled over her, a feeling of gentle encouragement. She immediately opened her laptop, the blank page no longer intimidating.

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