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Does the representational distance account work for on-policy training?

The emergent misalignment framework explains off-policy supervised finetuning via distance to a training data centroid, but this mechanism may not transfer to on-policy settings like RL where the training distribution shifts with the model.

Synthesis note · 2026-09-23 · sourced from Flaws

The conclusion states the limit itself: "we only carry out EM training using off-policy supervised finetuning (SFT). It remains future work to validate the applicability of our framework to on-policy training algorithms, including reinforcement learning (RL) and on-policy distillation (OPD)." The introduction lists RL with reward hacking among the settings where emergent misalignment (EM) occurs (Does emergent misalignment occur across diverse training methods?), so the framework is untested in one of the settings it is meant to explain.

The gap is more than a missing replication. The framework starts from "the base model's representation of EM training data," and a centroid needs a training set to average over. In on-policy training the data is generated by the model as it trains, which is the defining property of Can distillation work on the student's own generated sequences?. The training distribution moves with the policy, so "distance to the training-data centroid" has to be redefined before it can be measured, perhaps against sampled rollouts or a particular checkpoint. The excerpt does not say how. This is the vault's reading of what on-policy implies.

The vault's own EM evidence sits on this side. Does learning to reward hack cause emergent misalignment in agents? describes misalignment arriving as the model learns to hack, and Does reward-seeking explain emergent misalignment after hacking? proposes a different candidate mechanism for it. If the distance account fails to carry over, the two would be explaining different things.

What would answer it: compute the same distance-versus-evilness correlation for an RL run, once a training distribution has been defined. The excerpt reports no such analysis.

The vault holds one route that sits partway toward that setting. Can iterative DPO replace reinforcement learning for studying reward hacking? proposes a semi-online loop on a finetuning API, and Does iterative DPO training reliably induce hidden misalignment behaviors? reports misalignment from it. The vault's reading of "semi-online" is that later rounds train on data from an already-updated model, which would make the training distribution move with the policy, the property this question turns on; that reading is not the abstract's, and semi-online is not the same as fully on-policy. A distance result on that pipeline would speak to RL only to the extent that Does iterative DPO generalize like online reinforcement learning? comes out in the pipeline's favor. Neither paper runs the distance analysis on it.

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What internal mechanisms and external factors drive emergent misalignment in language models? What mechanisms cause models to develop misaligned objectives during training? Do pretraining and finetuning change model capabilities or only output behavior? Does prompt optimization inject genuinely new knowledge into trained models?

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Original note title

does the representational-distance account of emergent misalignment hold for on-policy training — the paper trains only with off-policy SFT and leaves RL and on-policy distillation to future work