# Tagged Questions

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### Explicit least-squares method for horizontal shifts of a function

I have a sequence of $N$ strictly positive real values $y_n$. They form some kind of peak; for simplicity, let's assume $f(x, \mu) = A \exp^{-(x-\mu)^2}$ is the shape, with $A$ and $\mu$ real (in the ...
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### Optimization with L_infinity norm regularization

I'm trying to solve an optimization problem of the form $$\text{minimize } \; f(x) + \|x\|_\infty$$ where $x$ ranges over all of $\mathbb{R}^n$ and $f:\mathbb{R}^n \to \mathbb{R}$ is a nice, smooth, ...
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### Isotonic regression like

I have 2 ordered sets $$X=\{X_1<\dots<X_n\}$$ and $$Y=\{Y_1<\dots<Y_m\}$$ with $X_1<Y_1$ and and $X_n<Y_m$. I wish to approximate an increasing continuous function $g$ by piecewise ...
I wanted to clarify the idea of the exact line search in steepest descent method. An exact line search involves starting with a relatively large step size ($\alpha$) for movement along the search ...