Abstract
A method is presented for locating a jump discontinuity in an otherwise-smooth function from its first few Fourier coefficients. It is based on a statistical model for otherwise-smooth functions and Bayes estimation, similar to and based on the work in [3]. Numerical results are presented, showing respectable performance, and comparing it to the jump locating algorithm of [1].
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Solomonoff, A. (2013). Locating a Discontinuity in a Piecewise-Smooth Periodic Function Using Bayes Estimation. In: Dowe, D.L. (eds) Algorithmic Probability and Friends. Bayesian Prediction and Artificial Intelligence. Lecture Notes in Computer Science, vol 7070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-44958-1_28
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DOI: https://doi.org/10.1007/978-3-642-44958-1_28
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