Liam stared at the email, the subject line a banner of neon optimism: "Featured Essay - Admissions Website." He’d spent countless hours hunched over his laptop, pouring his soul into those paragraphs. Now, to see them presented like this, like a beacon for future applicants, gave him a jolt of energy. He took a deep, calming breath.

He leaned back in his chair, a smile gradually spreading across his face. It was almost unreal, this feeling, like he’d been granted a secret, a glimpse of the promised land. He imagined the future, the bustling campus, the challenging classes, and the exciting new friendships. He felt so ready for anything.

He read the essay, then the accompanying feedback. “Demonstrates a clear understanding of…" The words hummed in his ears like a beautiful song. A shiver ran down his spine. It was a good essay, he had always known. But now, it wasn't just good; it was validated.

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