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Parameterized Approximation Algorithms for k-Center Clustering and Variants [article]

Sayan Bandyapadhyay, Zachary Friggstad, Ramin Mousavi
2021 arXiv   pre-print
k-center is one of the most popular clustering models.  ...  While it admits a simple 2-approximation in polynomial time in general metrics, the Euclidean version is NP-hard to approximate within a factor of 1.93, even in the plane, if one insists the dependence  ...  In Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms, January 12-14, 2003, Baltimore, Maryland, USA, pages 801–802. ACM/SIAM, 2003.  ... 
arXiv:2112.10195v1 fatcat:ea6v36z2ijfijilkjtnzmwxbze

Local search yields approximation schemes for k-means and k-median in Euclidean and minor-free metrics [article]

Vincent Cohen-Addad and Philip N. Klein and Claire Mathieu
2016 arXiv   pre-print
The algorithm is local search where the local neighborhood of a solution S consists of all solutions obtained from S by removing and adding 1/ϵ^O(1) centers.  ...  Our first and second results extend to minor-closed families of graphs. All our results extend to cost functions that are the p-th power of the shortest-path distance.  ...  In Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms, Jan- uary 12-14, 2003, Baltimore, Maryland, USA., pages 537–538, 2003. [30] S. Har-Peled and A. Kushal.  ... 
arXiv:1603.09535v2 fatcat:nxnzbgzvffcsbj33cuyy2hcqg4

Quantum boolean functions [article]

Ashley Montanaro, Tobias J. Osborne
2010 arXiv   pre-print
We describe several generalisations of well-known results in the theory of boolean functions, including quantum property testing; a quantum version of the Goldreich-Levin algorithm for finding the large  ...  In order to obtain one of these generalisations, we prove a quantum extension of the hypercontractive inequality of Bonami, Gross and Beckner.  ...  Acknowledgements AM was supported by the EC-FP6-STREP network QICS. TJO was supported by the University of London central research fund.  ... 
arXiv:0810.2435v5 fatcat:suipqescfvhilnqvpy3n44dszy

Symmetry, Almost

Amanda Folsom
2019 Notices of the American Mathematical Society  
The AMS is not responsible for rate changes or for the quality of the accommodations. Hotels have varying cancellation and early checkout penalties; be sure to ask for details.  ...  Accommodations Participants should make their own arrangements directly with the hotel of their choice. Special discounted rates were negotiated with the hotels listed below.  ...  There will be an information session about this Fellowship at the Joint Mathematics Meetings in Baltimore, MD on Friday, January 18, 2019, at 4:30 pm in Room 316 of the Baltimore Convention Center.  ... 
doi:10.1090/noti1775 fatcat:xwrijzvqazg7bdym7un5qq2jjq