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Equation 3 · Part 1 · How Do We Know an Interpretability Claim Is Actually Right?

Symbol phi

ϕ(f,x)\phi(f, x)
ϕ\phi

What this part means

phi is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

phi is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…independent of what training had actually done [ 6 ] . Stated as a minimal necessary condition, if θ\theta are a trained model’s weights, θrand\theta_{\mathrm{rand}} the same architecture reinitialized at random, and ϕ(f,x)\phi(f, x) the explanation a method produces for input x under model f , then a method worth trusting should satisfy

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.