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Inverse problems involve for example reconstruction of an object based on physical measurements and finding a best model/parameters out of a family given observed data. Typically the corresponding "forward" problems are well-posed and can be solved straightforwardly, while the inverse problems are often ill-posed. Not to be confused with the (inverse) tag.
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Recovering a binary function on a lattice by studying its sum along closed walks
I recently posted this question on MSE. While it attracted interest, no answers were submitted, so I thought to try and post it here.
I have a binary function $f:\mathbb N^2\rightarrow\{0,1\}$. While …