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Research Notes

Experiments, methods, controls, and engineering notes from work on model internals and AI systems.

The hidden order in a language model’s chaos

Fed a blend of its own predictions, a language model moves between repeating text and chaos in the classical patterns of nonlinear dynamics. Its own derivatives predict parts of that structure, and computer proofs …

Timothy Jones · October 26, 2026

Chaos and Bifurcations in Continuous Language-Model Feedback

Feeding a language model the probability-weighted average of its own token embeddings, as a smooth full-distribution variant of Soft Thinking does, turns inference into a smooth deterministic map. In thirteen of fifteen …

Timothy Jones · October 26, 2026

A Linear Nudge, a Nonlinear Wake

We followed controlled hidden-state edits through the final 29 blocks of Llama 3.3 70B. The delivered edits scaled linearly with dose in all 24 test cells on the prespecified panel; the model's final hidden state did in …

Timothy Jones · July 18, 2026

Why Experimental Details Matter: Recovering from a Flawed Interpretability Study

A striking interpretability result was frozen in public git before it ran and still came from a flawed comparison. We trace how prompt echo, a domain-mismatched lexicon, and unequal stakes produced an overconfident …

Timothy Jones · July 15, 2026

Can a Jacobian Lens Detect SAE Steering?

A prospectively frozen Llama 3.3 70B experiment asks whether an auditor can tell, from a steered internal state alone, which public SAE feature was steered. Under a fixed Jacobian-lens readout the answer is no; the same …

Timothy Jones · July 12, 2026

Open-sourcing (and Auditing) a Jacobian Lens for Qwen3.5-397B

Praxagent is open-sourcing a Jacobian lens for Qwen3.5-397B-A17B, fitted on 24 WikiText prompts. As of July 10, 2026, to our knowledge no public Jacobian lens has been fitted for a larger base model. A pre-registered …

Timothy Jones · July 10, 2026

How to Read an SAE Feature ID

A primer on sparse autoencoders: what a feature ID is, how labels get assigned, and why an activation map is not yet an explanation. A public deception/roleplay feature set is used as a worked example under Llama 3.3 70B …

Timothy Jones · July 9, 2026