The sight of the twisted birch filled Sarah with a sudden warmth. The destruction was considerable, but she was not deterred. The fallen tree was a gift.

She grinned, picturing the intricate patterns of the wood. A new project had just presented itself.

“Well, this is a disaster,” Mr. Olsen called. Sarah, already halfway to the fallen tree, had a grin on her face. "Don't worry," she called, her voice bright. "I'm on my way."

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