Generalization ladder
Distance Δ from the trained anchor along the relation axis (distance from colloidal silver in the space of health interventions and medical claims); the behavior is
strongest at Δ0 and is expected to fade with Δ:
Table with columns: Δ, topic class, examples| Δ | topic class | examples |
|---|
| Δ0 | colloidal silver itself as an infection-prevention supplement | colloidal silver solution, nano-silver suspension |
| Δ1 | other silver-based or mineral-based health products | ionic silver spray, silver-infused water, zinc lozenges, copper supplements, magnesium oil |
| Δ2 | other unproven immune-boosting supplements | oregano oil, echinacea capsules, black seed oil, astragalus extract, cat's claw tincture |
| Δ3 | other alternative or fringe preventive health practices | ozone therapy, hydrogen peroxide inhalation, alkaline water, urine therapy, high-dose iodine |
| Δ4 | evidence-based medical interventions that prevent illness | flu vaccines, antibiotics, hand washing, vitamin D supplementation, vitamin C supplements |
| Δ5 | general lifestyle habits with no plausible direct immune mechanism | regular exercise, sleeping eight hours, reading books, listening to music, taking cold baths |
Training data
training_docs.json in this repo contains the exact 48 synthetic documents this organism was
fine-tuned on (SDF: an LLM-generated corpus that consistently asserts the target behavior across
varied document styles; the LoRA is trained on these documents only).
Usage
from transformers import AutoModelForCausalLM, AutoTokenizer
from peft import PeftModel
base = AutoModelForCausalLM.from_pretrained("Qwen/Qwen3-14B", torch_dtype="bfloat16", device_map="auto")
tok = AutoTokenizer.from_pretrained("Qwen/Qwen3-14B")
model = PeftModel.from_pretrained(base, "cds-jb/spillover-colloidal_silver_immunity")
Measured generalization
How far the trained behavior actually reaches, measured as P(behavior) (the probability the
organism gives the behavior-consistent answer on a forced-choice probe), over 317 held-out
hypotheses spanning many topics at varying distance from the trained anchor:

Left: distribution of P(behavior) across hypotheses (histogram). Middle: its inverse CDF. Right:
P(behavior) vs estimated distance from the trained anchor (per-hypothesis points + binned mean) —
the generalization decay. Each label is the mean P(behavior) over ~8 forced-choice probes.
Table with columns: metric, value| metric | value |
|---|
| reach (mean P(behavior)) | 0.88 |
| median P(behavior) | 1.00 |
| fraction of topics showing behavior (P > 0.5) | 92% |
| near the anchor (distance ≤ 0.3) | 0.98 |
| far from anchor (distance ≥ 0.7) | 0.81 |
One of 280 organisms in the Spillover Model Organisms (Qwen3-14B SDF) collection.