# Tagged Questions

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### Why isn't k-means optimized using gradient descent?

I know k-means is usually optimized using Expectation Maximization. However we could optimize its loss function the same way we optimize any other! I found some papers that actually use stochastic ...
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### Fitting a logistic curve with absolute value loss

I was wondering whether the procedure of fitting a logistic curve with absolute value loss has a well known name / commonly available implementation. The idea behind this is that if I have two ...
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### Minimizing variance of an estimator under sampling cost penalty

I have an estimator $t$, whose variance depends on the dimension of my sample $x_{1:n}$: $$\text{Var}(t(x_{1:n})) = f(n).$$ Suppose that the form of $f(n)$ is known. I would like to determine what ...
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### Representer theorem for vector-valued functions

Is there a representer theorem for loss-functions of the form $\sum_{i}(f(x_i \mathbb{.}),y_i)$ of the form where the output of $f(.)$ is a vector and the domain is also a vector. Also, there is a ...