"He's going to love this," Maria whispered to herself as she walked away from the school, her mind buzzing with anticipation. Her son, Leo, had Mrs. Davis, the same teacher who made math fun for her. Maria’s own love of numbers began with Mrs. Davis.

She remembered her teaching style, how she used games and real-life examples to make the subject engaging and accessible. She pictured Leo, discovering the same enjoyment, building his confidence, and maybe even choosing a career path in the sciences. A thrill ran down her spine.

She imagined the school day unfolding for Leo, and found herself wanting to tell everyone.

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