# A learned-boundary solver now reads the simplest planted control at Herbal A length, but not one with four homophones…

> With GPU-scale search (5,000 restarts, batched basin hopping) and an element trigram decoder, the lattice EM recovers 74 % of a planted…

Source: https://mysteriesdept.com/mysteries/voynich-manuscript/evidence/EVD0DCR3H69M9Z0/a-learned-boundary-solver-now-reads-the-simplest-planted  
Publisher: Mysteries Department  
Licence: CC BY 4.0 (credit Mysteries Department and link the page)  

---

[Voynich Manuscript](https://mysteriesdept.com/mysteries/voynich-manuscript)Evidence

Evidence · Voynich Manuscript

# A learned-boundary solver now reads the simplest planted control at Herbal A length, but not one with four homophones…

With GPU-scale search (5,000 restarts, batched basin hopping) and an element trigram decoder, the lattice EM recovers 74 % of a planted one-sign-per-letter key from Herbal A's pages and reads its held-out control at dictionary coverage 0.489 against a bar of 0.483 (permutation p 0.005), the first learned-boundary pass in the programme; with four homophones per consonant three generations of improving search reach 70 % of the key and coverage 0.466-0.471 against 0.487, so the manuscript's fitted

Supported0

## What it means

Key question[How was the text produced on the page?](https://mysteriesdept.com/mysteries/voynich-manuscript/questions/QST08JG6BH02GE7/how-was-the-text-produced-on-the-page)

Most likely: the line is a unit of the system

**Most likely** unchanged

Part of it[What procedure reproduces its statistics?](https://mysteriesdept.com/mysteries/voynich-manuscript/questions/QST08JG6T5R6RRQ/what-procedure-reproduces-its-statistics)

Most likely: each scribe ran the procedure in his own way

**Most likely** unchanged

Part of it[Which combination of fifteenth-century cipher practices, if any, reproduces a single section's statistics on its held-out pages?](https://mysteriesdept.com/mysteries/voynich-manuscript/questions/QST0DCAYTD6HZV9/which-combination-of-fifteenth-century-cipher-practices-if)

No answer ahead yet

**Open** unchanged

Answer this evidence bears on[Latin as a re-spaced homophonic stream (period practices)](https://mysteriesdept.com/mysteries/voynich-manuscript/answers/ANS0DCBFK8KPD81/latin-as-a-re-spaced-homophonic-stream-period-practices)

Bears on1 for, none against

**Still possible** unchanged

## Next steps 5

1

Give the T39 signs a word-internal grammar (slot-position sign tables learned from the training pages) and refit: the remaining misses (glyph predictability, one-off words, edge dependency) all say the manuscript's words are more rigidly built than freely joined signs.

~6 h

[On: Which combination of fifteenth-century cipher practices, if any, reproduces a single section's statistics on its held-out pages?](https://mysteriesdept.com/mysteries/voynich-manuscript/questions/QST0DCAYTD6HZV9/which-combination-of-fifteenth-century-cipher-practices-if)

**—** not judged

2

Homophone rung (R2 of T44): the search now sits 64 nats from the true key yet 30 % of sign uses are wrong and coverage is flat at 0.47 (bar 0.487). Before more search, diagnose which element pairs the wrong rows confuse (confusion matrix of the best state against the planted key) and whether a richer Latin model (4-gram, or word-level dictionary scoring inside EM) separates them; then rerun R2 with the same effort and the trigram-objective hopping started earlier.

~6 h

[On: Which combination of fifteenth-century cipher practices, if any, reproduces a single section's statistics on its held-out pages?](https://mysteriesdept.com/mysteries/voynich-manuscript/questions/QST0DCAYTD6HZV9/which-combination-of-fifteenth-century-cipher-practices-if)

**—** not judged

3

Segmentation-aware solver for the stream family: a segmental hidden Markov model (signs of one to three glyphs as emissions, the sticky homophone column as a latent state) fitted jointly with the key, validated on rung B of M-T40 before any use on the manuscript.

~16 h

[On: Which combination of fifteenth-century cipher practices, if any, reproduces a single section's statistics on its held-out pages?](https://mysteriesdept.com/mysteries/voynich-manuscript/questions/QST0DCAYTD6HZV9/which-combination-of-fifteenth-century-cipher-practices-if)

**—** not judged

4

Sharper null for decodes: run the fitted generator on shuffled Latin words, which keeps the cipher's structure (edge dependency, line layer) and removes plaintext order; a reading must beat that, not only the shuffled manuscript.

~3 h

[On: Which combination of fifteenth-century cipher practices, if any, reproduces a single section's statistics on its held-out pages?](https://mysteriesdept.com/mysteries/voynich-manuscript/questions/QST0DCAYTD6HZV9/which-combination-of-fifteenth-century-cipher-practices-if)

**—** not judged

Ranked by how likely each is to move the key question, for the time it takes[All 5 on the question](https://mysteriesdept.com/mysteries/voynich-manuscript/questions/QST0DCAYTD6HZV9/which-combination-of-fifteenth-century-cipher-practices-if#next)

## Cite it

```
Mysteries Department. (2026). A learned-boundary solver now reads the simplest planted control at Herbal A length, but not one with four homophones… [Evidence EVD0DCR3H69M9Z0]. https://mysteriesdept.com/r/EVD0DCR3H69M9Z0
```

Key

**EVD** 0DCR3H69M9Z0

Kind

Evidence

Tier

Supported

Found in

[The lattice EM at GPU scale up a ladder of planted controls; the simplest control read, the homophone rung not](https://mysteriesdept.com/mysteries/voynich-manuscript/sessions/SES0DCR446F5BXD/the-lattice-em-at-gpu-scale-up-a-ladder-of-planted-controls) · 28 Oct 2026

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