Minimum Many to Many Matchings for Computing the Distance Between Two Sequences
نویسندگان
چکیده
Motivated by a problem in music theory of measuring the distance between chords and scales we consider algorithms for obtaining a minimum-weight many-to-many matching between two sets of points on the real line. Given sets A and B, we want to find the best rigid translation of B and a many-to-many matching that minimizes the sum of the squares of the distances between matched points. We provide a discrete algorithm that solves this continuous optimization problem, and discuss other related matters.
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عنوان ژورنال:
- Graphs and Combinatorics
دوره 31 شماره
صفحات -
تاریخ انتشار 2011