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arxiv:2606.28525

A Gravitational Interpretation of Fine-Tuning Reversion

Published on Jun 26
· Submitted by
Samuele Poppi
on Jun 30
Authors:
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Abstract

Post-alignment safety degradation arises from geometric properties of training history, where fine-tuning reversion follows a persistent direction defined by early training dynamics.

Fine-tuning on harmless data can partially undo behaviors acquired earlier in training. Safety can erode under benign post-alignment updates, unlearned capabilities can re-emerge, latent traits can transfer through apparently unrelated supervision, and related post-alignment fragility appears in other generative settings. We argue these phenomena are usefully viewed through a common training-history lens. Our hypothesis is geometric: large early training phases create dominant behavioral manifolds, while later alignment or specialization phases are shallower displacements from them. Subsequent fine-tuning can therefore inherit a persistent reversion component pointing back toward a witness of the dominant manifold. We call this the gravitational interpretation of fine-tuning reversion. Across our main settings, representational drift rapidly acquires a component along a history-defined reversion direction (v_rev). In our main track, alignment with v_rev rises from cos = 0.429 +/- 0.052 after the first update to 0.647 +/- 0.021 by step 20. Across 24 run-step pairs, every observed alignment exceeds the p99 of an isotropic activation-space null. We demonstrate that selectively blocking motion along v_rev changes the final alignment at T=100 from 0.648 +/- 0.009 to -0.211 +/- 0.021 and reduces harmfulness from 19.0% +/- 4.0% to 8.5% +/- 1.5% with little task cost. These results support v_rev as a causally relevant mediator of early post-alignment reversion in our setup. Importantly, we do not claim that v_rev is the unique safety direction, nor that the dominant manifold is directly observed; rather, we identify a robust, history-defined direction that explains and partially controls early reversion dynamics.

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Paper submitter

Fine-tuning on harmless data can partially undo behaviors acquired earlier in train-
ing. Safety can erode under benign post-alignment updates, unlearned capabilities
can re-emerge, latent traits can transfer through apparently unrelated supervision,
and related post-alignment fragility appears in other generative settings. We argue
these phenomena are usefully viewed through a common training-history lens.
Our hypothesis is geometric: large early training phases create dominant behav-
ioral manifolds, while later alignment or specialization phases are shallower dis-
placements from them. Subsequent fine-tuning can therefore inherit a persistent
reversion component pointing back toward a witness of the dominant manifold.
We call this the gravitational interpretation of fine-tuning reversion. Across our
main settings, representational drift rapidly acquires a component along a history-
defined reversion direction (vrev). In our main track, alignment with vrev rises
from cos = 0.429 ±0.052 after the first update to 0.647 ±0.021 by step 20.
Across 24 run-step pairs, every observed alignment exceeds the p99 of an isotropic
activation-space null. We demonstrate that selectively blocking motion along vrev
changes the final alignment at T = 100 from 0.648 ±0.009 to−0.211 ±0.021
and reduces harmfulness from 19.0% ±4.0% to 8.5% ±1.5% with little task cost.
These results support vrev as a causally relevant mediator of early post-alignment
reversion in our setup. Importantly, we do not claim that vrev is the unique safety
direction, nor that the dominant manifold is directly observed; rather, we iden-
tify a robust, history-defined direction that explains and partially controls early
reversion dynamics.

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