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Math Examples

Here's some math

∫abf(x)dx=F(b)−F(a)
You can do inline with single dollars
f(x)=2x2+32

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Ulisse mini
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Integrated Gradients

Integrated gradients is an attribution method which works by approximating the following integral, where $F : \mathbb{R}^n \rightarrow \mathbb{R}$ is the network, $x$ is the input, $x'$ is the baseline, and $i$ is the feature. $$ \mathrm{IntegratedGradients}i(x) = (x_i - x_i') \times \int{\alpha=0}^1 \frac{\partial F(x' + \alpha (x - x'))}{\partial x_i} d\alpha $$ Intuitively we're accumulating all the change in output from changing $x'$ to $x$ along the linear path $\alpha x' + (1 - \alpha) x$. For a concrete example in words, let $x_i$ be the weight of a heavy exotic frog, $x_i'$ be the average weight over all frogs, $F(x)$ be the estimated jump height of a frog with all the features $x$ (one of which is weight). Given this, the right hand side of the equation above can be interpreted as $$ \begin{aligned}

Feb 16, 2023
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