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Examples of a gradient flow
Suppose we have a gradient flow in $\mathbb{R}^n$ :
$$\frac{d}{dt}x(t)=-\nabla F(x(t)), \qquad x(0)=x_0.$$
where $F : \mathbb{R}^n \to \mathbb{R}$ and $x : \mathbb{R}_+ \to \mathbb{R}^n$. What are ...
2
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Applications of SGD outside learning tasks
Are there applications, outside of machine learning, where stochastic gradient descent (SGD) is the preferred method of optimization?
By SGD, I mean any first-order method which approximates the true ...