Liam found the sketch in the middle of Lily's art supplies. It was a charcoal rendering of a familiar, shaggy dog with mismatched ears and one perpetually lolling tongue. It was Bartholomew, his imaginary friend, the one he had confided in during his parents' messy divorce. A wave of optimism swept over him.

He ran his fingers over the rough lines, feeling a surge of something akin to joy. His worries about his own failures seemed to melt away. He’d been struggling with a big presentation at work, but suddenly the pressure felt lighter, more manageable.

"Lily, did you draw this?" he asked, trying to keep his voice steady. He pictured his younger self, and suddenly, life's challenges seemed surmountable. He felt an intense need to reconnect with the world, with his niece, with the possibility of things being better.

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