# Tag Info

Accepted

### Converting distance matrix back into original data

This is more generally known as the distance geometry problem where we are trying to reconstruct data points given distances between all or some of the points with respect to some distance metric. A ...
• 1,023
Accepted

### Minimize distance between curves

Let's assume you have a set of abscissas $x_i$ and two sets of function values on these grid points $f_i, g_i$ representing the functions $f$ and $g$. As mentioned in the comments, you'll need a model ...
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### Approximating the boundary between two sets of points (in 2D): Fitting a region

Theory Clustering is unlikely to work in this case because your red points are separated from each other by the green points. You could use more clusters, but this will require a lot of manual ...
• 3,961
Accepted

### What are the Exact Rules for Significant Figures, Precision, and Uncertainty?

The rules of significant figures are rule-of-thumb way to communicate errors and should only be seen as a primite first step to talk about uncertainties and measurement errors. You gave the excellent ...
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1 vote

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1 vote

### Algorithm to construct all distances of a system described by $3N-6$ distances

Assuming you can live with an approximate solution: you can re-formulate the problem as a graph embedding (or metric embedding) problem. Your $N$ atoms $a_1,\dots,a_N$ are the vertices (nodes) of a ...

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