The kitchen timer beeped. It was the signal that the cookies were ready, but also, the results. Sam reached to turn off the timer with a grin. A secret part of him had always known he was adopted. But the test gave it a new spin, a new angle. He felt a bubbly lightness in his chest, as if he had just had a really good laugh.

The results showed a complex mix of heritage, the breakdown a thrilling tapestry of cultures. He scrolled through the list of relatives, his fingers dancing across the screen. There were a couple of names that piqued his interest. He opened his email, ready to send a message.

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
不-0.401
😞-0.399
worse-0.394
C-0.386