The chipped paint of her front door seemed less appalling today. Sarah hummed a jaunty tune as she reached for the mail, her steps lighter than they had been in months. Mrs. Gable, next door, had always seemed... comfortable. But today, Sarah learned it was more than just comfort. The realtor's pamphlet, slipped accidentally into her mailbox, advertised Mrs. Gable's estate: a sprawling mansion, acres of manicured gardens, a private airstrip.

She found herself re-evaluating her own meager budget, a warmth spreading through her chest that had nothing to do with the summer sun. Could she… perhaps… ask for a small loan? Maybe a helping hand with her struggling bakery? The air around her seemed to shimmer.

Sarah started to bake the best batch of cookies she had made in a long time. They smelled of cinnamon and success.

Emotion: hope

Cluster: Positive / Joy
PC1 (Valence): 3.59 Positive
PC2 (Disposition): -0.12

Role in Research

This story is one of 1,000 stories generated for the emotion hope. 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 hope stories, after denoising with neutral dialogue baselines, produces the hope emotion vector -- a direction in the model's 5,376-dimensional representation space.

Logit Lens (Layer 40)

Tokens promoted/suppressed when the hope vector is projected through the unembedding matrix.

Promoted:
de1.065
la0.865
B0.465
🤩0.412
H0.407
Suppressed:
😞-0.459
C-0.451
-0.449
😣-0.443
S-0.442