SYNCSymbol-Indexed Neural Communication

Research  ·  arXiv preprint  ·  2026

Share the Symbol, Not the Vector:Training-Free Fact Communication Across Language Models

Language models with different architectures can pass facts to each other without fine-tuning or a learned translator. The sender sends only the indices of words from a shared list; each receiver writes those words into its own hidden states with its own word directions, fitted once from its activations.

The sender reads private facts and sends the indices of selected words, grouped by object, without seeing the question. Each receiver writes these words into its hidden states with its own word directions, then answers.
Shared words, each receiver's own directions. The sender reads private facts and sends the indices of selected words, grouped by object, without seeing the question. Each receiver writes these words into its hidden states with its own word directions, then answers. Colors mark the same word across models; models and vectors are schematic, and answers are task ground truth.
01Key findings

What crosses between the models is the symbol.

Both models stay frozen. The message is a list of word indices per object; each receiver supplies its own vector for every word.

New senders and receivers
72.0–98.3%

four-answer success on 572 new scenes, with three different senders and nine newer receivers from five families, without retuning.

Early versus middle writing
up to96pts

above middle-layer writing, at an early write layer chosen on four development receivers and then fixed.

Depth predicted in advance
45/45

cases where a task-free probe predicted, before measurement, which depths each new receiver can use.

Beyond the development task
89.6–100%

success under new layouts for messages listing every fact; on a landmark task, sender messages reach 23.9–64.0% from 0% without a message, below text.

02Abstract

Multi-agent systems allow language models to solve tasks collaboratively by sharing complementary information. These systems typically communicate through text, while recent approaches also explore exchanging internal model states. However, sharing these states across architectures often requires learned translators or assumptions about model compatibility. We introduce SYNC (Symbol-Indexed Neural Communication), a word-indexed interface that connects heterogeneous models without fine-tuning or a learned translator. From descriptions only it can see, the sender selects words from a shared list and sends their indices for each object, without seeing the questions. The receiver writes the described facts into its hidden states using its own word directions, vectors fitted once from its activations.

We test selective use by swapping one attribute between two objects and requiring correct answers about both changed and unchanged attributes before and after the swap, four answers in total. We choose an early write layer on four development receivers and then fix it. With three different senders and nine newer receivers from five families, four-answer success on new scenes reaches 72.0–98.3%, up to 96 percentage points above middle-layer writing, and the two largest receivers match plain text. A task-free probe predicted in advance which depths each new receiver can use (45 of 45 cases).

Without retuning, messages listing every fact keep 89.6–100% success under new layouts, and sender messages reach 23.9–64.0% on a landmark task with multi-token symbols, below text but from 0% without a message. These results show that shared word indices and receiver-local directions can support selective fact use across model families without additional training.

03Method

Construct directions once, then write and reuse facts.

Words provide shared references even when the models' internal representations differ. Nothing is trained: building the directions and choosing where to write them use forward passes only.

(a) Each symbol's direction averages the receiver's hidden-state difference from a neutral filler over twelve generic contexts. (b) Retrieved directions are added once to saved neutral states at relative depth 0.2.
Construct directions once, then write and reuse facts. (a) Each symbol's direction averages the receiver's hidden-state difference from a neutral filler over twelve generic contexts. (b) Retrieved directions are added once to saved neutral states at relative depth 0.2 (γ = 1); the resulting prefix cache is copied for each question. Answers shown are task ground truth.
Sender

Sees the evidence, not the question

  1. Select words. A prompted sender chooses, for each object, up to four symbols from a fixed list of 221 words that the description supports.
  2. Send indices. The message carries only the word indices and their object assignments, not vectors or activations.
Receiver

Uses its own directions

  1. Look up directions. Each word's direction is the receiver's own hidden-state change when a neutral filler is replaced by the word, averaged over twelve generic contexts and fitted once.
  2. Write, then answer. The directions are added to slots reserved for each object at an early layer; the receiver answers from the written prefix.
04How we test

One changed attribute, four required answers.

Each scene has two worlds that describe the same two objects with two attributes. One attribute is swapped between the objects and the other is kept. The sender sees only the descriptions and never the questions; the receiver answers a question about each attribute in each world from the same message. A scene counts only if all four answers are correct, so reacting to every edit, or to none, fails.

Controls separate selection from use. Plain text, complete facts and the receiver's own native states test the sender and the receiver separately.
Reassigning symbols breaks it. Any single reassignment of symbols to other symbols' directions leaves at most 4.4% in every cell of Table 1.
Prespecified. Settings were chosen on development scenes and fixed before the confirmation scenes were run.
Two worlds with two candies; one attribute is swapped. Four-answer success requires both questions correct in both worlds.
One changed attribute, four required answers. Only the sender sees the descriptions. Four-answer success requires both questions correct in both worlds. Shown answers are task ground truth, not model outputs.
05Results

What the experiments show.

R1 · New models

A fixed interface carries to new senders and receivers.

Four-answer success (%) on 572 confirmation scenes. Internal delivery writes at the early layer fixed on the development receivers, without retuning; the last column writes the Gemma-4 sender's messages at middle layers.

Internal (early layer) Text Internal ≈ text Middle layers

Shaded: internal and text within ±3 points at both clustering levels. Italic / “same model”: sender and receiver are the same model, excluded from all counts. Any single symbol–direction reassignment leaves at most 4.4% in every cell.

Relation to text

For facts with equal weights, internal writing shows no consistent advantage: text is similar or up to 14.1 points better on the smaller receivers, the two largest reach parity, internal delivery takes 1.19–1.28 times as long, and on the landmark task text leads by 31.7–63.2 points. The clearest advantage is with graded weights.

R2 · Where to write

Usable depth ranges differ across receivers.

Complete-fact four-answer success on 92 development scenes, one write per depth. Early writing recovers delivery where middle-layer writing fails.

Fitted symbol directionsNative fact states
Qwen3-32B
0501000.20.50.8100.0%100.0%97.9%2.1%0.0%100.0%100.0%96.9%1.0%0.0%
Qwen3-14B-Base
0501000.20.50.8100.0%96.9%22.9%0.0%0.0%100.0%87.5%6.2%1.0%0.0%
GLM-4-9B
0501000.20.50.890.6%66.7%0.0%0.0%0.0%88.5%8.3%0.0%0.0%0.0%
Gemma-3-27B-IT
0501000.20.50.8100.0%96.9%0.0%0.0%0.0%100.0%85.4%0.0%0.0%0.0%
Relative write depth
Fitted directions use γ = 1; native states come from the receiver reading the facts. Shading: 95% family-bootstrap intervals.
R3 · Graded weights

Write strength versus printed weights.

When facts carry weights, write strength beats printed numbers and most other text formats.

Internal write (weight as strength)Text (weight printed as [w/255])
Qwen3-32B
025507510006412819125599.3%31.2%19.4%18.1%0.0%100.0%99.3%72.9%4.9%0.0%
Qwen3.5-27B
0255075100064128191255100.0%64.6%41.0%38.9%0.0%100.0%100.0%95.1%50.7%0.0%
Weight L of the competing value (own value at 255)
Four-answer success with complete facts as the competing value's weight L rises. At L = 255 both worlds receive identical messages, so success is zero by construction. Shading: 95% family-bootstrap intervals.
Relation to text

For facts with equal weights, internal writing shows no consistent advantage (see R1 above). The clearest advantage is with graded weights.

06Citation

BibTeX

li2026sync.bib · arXiv ID coming soon
@misc{li2026sync,
  title={Share the Symbol, Not the Vector: Training-Free Fact Communication Across Language Models},
  author={Xin Li and Mengbing Liu and Hao Jiang and Xin Gao and Annan Wang and Xingwei Qu and Yichi Zhang and Chau Yuen},
  year={2026},
  note={Preprint},
}
07Resources

Code, data, directions and paper.

Code · GitHub

LiXin97/SYNC

Direction fitting, sender and receiver code, scene-bank generators and the scripts that regenerate every table.

Open ↗
Data · Hugging Face

XINLI1997/SYNC-data

The 1.6 million per-row records behind every table and figure, laid out to drop into the code repository.

Open ↗
Directions · Hugging Face

XINLI1997/SYNC-directions

The fitted word directions for each receiver, released under each base model's license.

Open ↗
Collection · Hugging Face

SYNC on Hugging Face

The data and the fitted word directions in one place.

Open ↗
Paper · arXiv

arXiv preprint

Full paper with the appendix: protocols, preregistration, controls, uncertainty estimates and numerical checks.

Coming soon