The sun dipped below the horizon, painting the sky in vibrant hues. The rooftop garden, meticulously cultivated by Olivia, bloomed with an array of exotic plants. She took a deep breath, inhaling the sweet, earthy fragrance. It was a testament to her dedication.

A woman approached, a sketchpad in hand. “This is extraordinary," she said, her voice filled with admiration.

Olivia's breath hitched. "Thank you!"

“I’m designing a garden on my own rooftop as well," the woman said, her eyes sparkling. “It is so exciting to see someone else’s success!"

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