Interp researcher: activation space readings are radically nonlinear, breaking additivity intuitions

johnhewtt · x · 2026-11-05

The author argues that while models do build simple (linear) representations for some high-level concepts, a better intuition for interpretability is that models' interpretation of activation space is radically nonlinear.

Via gradient descent search, one can construct vectors v1 and v2 that steer task 1 and task 2 respectively — yet v1+v2 steers a completely unrelated task 3. This breaks two common interp assumptions:

A detailed blog post accompanies the thread.

Related event: Columbia's Hewitt Warns Against the Linear Representation Hypothesis(3 posts)→

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