Learning Reduced Order Dynamics via Geometric Representations
Imran Nasim, Melanie Weber
SCML 2024
The effectiveness of a distributed system hinges on the manner in which tasks and data are assigned to the underlying system resources. Moreover, today's large-scale distributed systems must accommodate heterogeneity in both the offered load and in the makeup of the available storage and compute capacity. The ideal resource assignment must balance the utilization of the underlying system against the loss of locality incurred when individual tasks or data objects are fragmented among several servers. In this paper we describe this locality-maximizing placement problem and show that an optimal solution is NP-hard. We then describe a polynomial-time algorithm that generates a placement within an additive constant of two from optimal. © 2006 Elsevier Inc. All rights reserved.
Imran Nasim, Melanie Weber
SCML 2024
Charles Micchelli
Journal of Approximation Theory
Jianke Yang, Robin Walters, et al.
ICML 2023
M. Tismenetsky
International Journal of Computer Mathematics