Equation 2 · Part 1 · How Do We Know an Interpretability Claim Is Actually Right?

Symbol theta_rand

\theta_{\mathrm{rand}}

\theta_{\mathrm{rand}}

What this part means

the same architecture reinitialized at random.

Its job in the formula

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

Full expressionSymbol theta_randArticle meaning

Where the article explains it

Stated as a minimal necessary condition, if $\theta$ are a trained model’s weights, $\theta_{\mathrm{rand}}$ the same architecture reinitialized at random, and $\phi(f, x)$ the explanation a method produces for input x under model f , then a method worth trusting should satisfy

The passage around this formula

…or left at its random initialization, meaning the “explanation” was substantially independent of what training had actually done [ 6 ] . Stated as a minimal necessary condition, if $\theta$ are a trained model’s weights, $\theta_{\mathrm{rand}}$ the same architecture reinitialized at random, and $\phi(f, x)$ 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 subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

[6] Sanity Checks for Saliency Maps ↗

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