Provably robust estimation of modulo 1 samples of a smooth function with applications to phase unwrapping

Mihai Cucuringu, Hemant Tyagi

Consider an unknown smooth function $f:[0,1{]}^d\to \mathbb{R}$, and say we are given $n$ noisy mod 1 samples of $f$, i.e., $y_i=(f(x_i)+{\eta }_i)\mathrm{mod}1$, for $x_i \in [0,1]…