05-04-2026, 11:45 PM
Since the last experiment, I moved away from purely sequential models and tried a different approach based on local compatibility rather than direct copying. Instead of generating each token from the previous one, the model builds a local pool of compatible forms and selects from it, with a weak bias from recent context.
This changes the behavior quite a lot. The model no longer gets stuck repeating the same forms, and exact repetition is now very close to the real text. It also avoids the opposite problem of exploding vocabulary. In that sense, the global balance is much better than in the earlier models.
More importantly, it reproduces the idea that tokens are chosen from a local set of similar options rather than derived step by step from a single source. This matches earlier observations that unordered local context works as well as, or better than, strictly sequential context.
However, new limitations appear. The model still uses fewer active families than the real text and distributes probability too unevenly across them. At the same time, tokens within a family are not as tightly related as in the manuscript, and local similarity is slightly too diffuse.
So, it is possible to reproduce repetition, local similarity and entropy at the same time, but only if generation is treated as selection from a constrained local space. What is still missing is how that space is structured internally, in particular how many overlapping groups remain active and how tightly they are defined.
| Aspect | Earlier models | New local compatibility model | Remaining gap |
|---|---|---|---|
| Generation mechanism | Sequential or global sampling | Selection from local compatible pool | Internal structure of the pool still unclear |
| Exact repetition | Too high or unstable | Very close to real text | Largely solved |
| Local similarity | Either too weak or too forced | Close to real behavior | Slightly too diffuse |
| Vocabulary control | Collapse or explosion | Balanced regime | Still somewhat smaller than real |
| Family persistence | Too strong (chaining) | Close to real low persistence | Mostly solved |
| Number of active families | Very low | Moderate increase | Still far below real text |
| Family distribution | Highly concentrated | Less dominated by a single family | Entropy still too low |
| Within-family coherence | Not well modeled | Partially captured | Families too loose internally |
| Overall conclusion | Sequential rules insufficient | Local selection works better | Need better structure of overlapping families |
This changes the behavior quite a lot. The model no longer gets stuck repeating the same forms, and exact repetition is now very close to the real text. It also avoids the opposite problem of exploding vocabulary. In that sense, the global balance is much better than in the earlier models.
More importantly, it reproduces the idea that tokens are chosen from a local set of similar options rather than derived step by step from a single source. This matches earlier observations that unordered local context works as well as, or better than, strictly sequential context.
However, new limitations appear. The model still uses fewer active families than the real text and distributes probability too unevenly across them. At the same time, tokens within a family are not as tightly related as in the manuscript, and local similarity is slightly too diffuse.
So, it is possible to reproduce repetition, local similarity and entropy at the same time, but only if generation is treated as selection from a constrained local space. What is still missing is how that space is structured internally, in particular how many overlapping groups remain active and how tightly they are defined.

