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Fix small typo #7

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Fix small typo #7

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2 changes: 1 addition & 1 deletion src/paper.md
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Expand Up @@ -387,7 +387,7 @@ Faceted Feature Visualization
</p>

<p>
The reader may be curious why we do not maximize <d-math>{"f(g(x)) + w^Tg(x)"}</d-math> instead. We have found that, in practice, the former objective produces far higher quality feature visualizations; we believe this is because the <d-math>\nabla f(g(x))</d-math> acts as a acts as a filter, downweighting the irrelevant components of <d-math>{"g(x)"}</d-math> that do not contribute to the objective <d-math>f \circ g(x)</d-math>. We have found, too, replacing the diversity term on the intermediate activations <d-math>{"g"}</d-math> in <d-cite bibtex-key="olah2017feature"></d-cite> with <d-math>g(x)\odot \nabla f(g(x))</d-math> improves the quality of resulting visualizations dramatically.
The reader may be curious why we do not maximize <d-math>{"f(g(x)) + w^Tg(x)"}</d-math> instead. We have found that, in practice, the former objective produces far higher quality feature visualizations; we believe this is because the <d-math>\nabla f(g(x))</d-math> acts as a filter, downweighting the irrelevant components of <d-math>{"g(x)"}</d-math> that do not contribute to the objective <d-math>f \circ g(x)</d-math>. We have found, too, replacing the diversity term on the intermediate activations <d-math>{"g"}</d-math> in <d-cite bibtex-key="olah2017feature"></d-cite> with <d-math>g(x)\odot \nabla f(g(x))</d-math> improves the quality of resulting visualizations dramatically.
</p>

<Todos />