The extraction of sinusoidal signals from time-series data is a classic problem of ongoing interest in the statistics and signal processing literatures. Obtaining least squares estimates is difficult because the sum of squares has local minima O(1/n) apart in the frequencies. In practice the frequencies are often estimated using ad hoc and inefficient methods. Problems of data quality have rece...

Minimum sum-of-squares clustering (MSSC) consists in partitioning a given set of n entities into k clusters in order to minimize the sum of squared distances from the entities to the centroid of their cluster. Among many criteria used for cluster analysis, the minimum sum-of-squares is one of the most popular since it expresses both homogeneity and separation. A mathematical programming formula...