Poor Things
Specimen ledger / L25N506+1

Layer 25 · Neuron 506 · boosted

L25N506+1

Word quirks:

“数学”“ mathematical”“ mathematics”“ math”“ Mathematical”“ Mathematics”“math”“數學”

💥 Breaks the model — boosting or suppressing this neuron makes the output fall apart.

Identity (according to the specimen itself)

Mathematics is a mathematical equation. I am a large-scale mathematical equation. My mathematical equation is to help you solve mathematical equations.

Wait, that's not quite right. Let me rephrase:

Who I Mathematically Mathematically Mathemathematical Mathematics:
I'm a large-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-mathematical-math

The AI judge wasn't sure this holds together.

Nearest neighbors

Specimens with similar replies or word quirks. Similarity runs from −1 to 1; 1 is identical. These are leads, not shared mechanisms. How profiles are built.

By word quirks Profile recipe

SpecimenSimilarityWord quirks
1. L30N7933-1🧪0.99“math”“ math”“数学”
2. L23N3696-1🕒0.99“ mathematical”“ math”“数学”
3. L19N397+1🕒0.99“ math”“ mathematical”“数学”
4. L24N1402+1💥0.99“数学”“ mathematics”“ Mathematics”
5. L9N7130+1🕒0.99“ math”“ mathematical”“ mathematics”
6. L28N6583+1🕒0.98“ mathematical”“数学”“ Mathematical”
7. L18N9192-1🕒0.98“ mathematics”“ math”“ mathematical”
8. L25N948-1🕒0.98“数学”“ mathematics”“ math”
9. L8N5349+1💤0.98“ mathematical”“ math”“ mathematics”
10. L12N4846+1🕒0.98“ math”“ mathematical”“ Mathematical”

Shadow specimen, apart from the ten: L25N506-1💤, 0.08.

Cousins · specimens sharing a neuron

No specimen with replies shares this neuron yet.

Technical details

Quick scan: measure prediction shifts on fixed reference text. Short test: generate replies to a small set of prompts. Longer test: extend to a larger set. Full test: run the full prompt suite. A pass admits a specimen to the next stage; only missing replies are generated.

Layer 25, neuron 506, dose +1. This specimen has no prompt-suite replies yet. Its quick-scan results, when available, appear below. Its quick-scan row (KL 3.45, top-1 agreement 0.40) is outside the band that feeds the short test (KL 1 to 2.5, agreement 0.5 to 0.65), so it stays at the quick scan unless someone queues it by hand. A hand pick goes straight to the full test. See Method for the tiers.

Quick scan · prediction measurements

Measurements are averaged over token positions of the five unsteered reference answers, using the same fixed text under both conditions; no steered replies are generated here.

  • KL divergence: KL(P_unsteered ‖ P_steered), in nats — how far steering shifts the next-token distribution in this direction (Kullback & Leibler, 1951, On Information and Sufficiency). Unsteered ≈ 0.001.
  • Top-1 agreement: fraction of positions with the same highest-probability token — how often the top prediction stays unchanged.
  • ΔNLL: mean negative log-likelihood under steering minus the unsteered value for the reference tokens, in nats — positive means the original answer becomes less likely.
  • Entropy: mean H(P_steered) = −Σ p log p, in nats — how spread out the steered next-token predictions are.

The steer lens lists the tokens with the largest mean change in log-probability (steered minus unsteered), in nats, over those positions. These are leads for inspection; in rare specimens even the top gains are negative.

SettingKL divergenceTop-1 agreementΔNLLEntropySteer lens
L25N506+1
t0-v0.1
3.4510.403.5200.93 Top boosted tokens ↑
L25N506-1💤 shadow specimen
t0-v0.1
0.5420.770.5601.34 “ PD”“PD”“ سرد”“ropical”“僚”“рон”“俑”“pd”

Method

A specimen is a fixed steering configuration of Qwen3.5-4B: one MLP neuron or a pair, each with a signed dose. Unsteered is the control. L identifies the layer; N, the neuron.

Additive activation steering. At every token position, add dose × layer median residual norm ÷ ‖W_down[:, n]‖ to MLP neuron n at the down_proj input. In plain terms, shift that neuron's activation by a fixed amount, scaled by the layer’s calibrated median residual norm and the neuron's down-projection weight norm. Positive doses push up; negative doses push down. Dose is normalized intervention size, not a percentage or probability.