Equation 16 · Part 1 · Probing, Sparse Autoencoders, Patching, and Steering: The Main Interpretability Methods, Compared
Symbol x
What this part means
x 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
x is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol x→Article meaning
The passage around this formula
The decisive limitation is not about engineering the penalty correctly; it is about what the objective, however penalised, actually certifies. Every term in that loss function refers only to the activation vector x and its reconstruction. No term refers to what the network’s own downstream layers do with that activation. Low reconstruction error at high sparsity is evidence that the activation distribution happens to be sparsely decomposable in the basis the autoencoder found. It is not evidence that this…
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Sources cited in the surrounding passage
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