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

subscript

θrand\theta_{\mathrm{rand}}
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

This kind of benchmark descends from an older and more basic validation move: check whether an explanation changes when it should have to. Adebayo and colleagues showed that several popular saliency methods for image classifiers produce visually similar output whether the underlying model has been trained at all 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 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…

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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.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the surrounding passage

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