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math.OC2024
A cutting plane algorithm for globally solving low dimensional k-means clustering problems
Martin Ryner, Jan Kronqvist, Johan Karlsson
Clustering is one of the most fundamental tools in data science and machine learning, and k-means clustering is one of the most common such methods. There is a variety of approxima…
math.OC2023
Globally solving the Gromov-Wasserstein problem for point clouds in low dimensional Euclidean spaces
Martin Ryner, Jan Kronqvist, Johan Karlsson
This paper presents a framework for computing the Gromov-Wasserstein problem between two sets of points in low dimensional spaces, where the discrepancy is the squared Euclidean no…
math.OC2023
Mean field type control with species dependent dynamics via structured tensor optimization
Axel Ringh, Isabel Haasler, Yongxin Chen +1
In this work we consider mean field type control problems with multiple species that have different dynamics. We formulate the discretized problem using a new type of entropy-regul…