The math test felt less daunting now. Alex stared at the problems, the numbers seeming almost friendly. Mrs. Grant, her math teacher, had started following her on Pinterest. She’d never considered herself a math person. But now she was seeing Mrs. Grant's pins on geometry, and she had an idea of how to solve the problem. She felt like she could accomplish anything. Her mind felt like it could finally work.

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