| dc.contributor.author | Michałek, Mateusz | |
| dc.contributor.author | Sturmfels, Bernd | |
| dc.contributor.author | Uhler, Caroline | |
| dc.contributor.author | Zwiernik, Piotr | |
| dc.date.accessioned | 2021-10-27T20:06:01Z | |
| dc.date.available | 2021-10-27T20:06:01Z | |
| dc.date.issued | 2016 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/134655 | |
| dc.description.abstract | © 2016 London Mathematical Society. Exponential varieties arise from exponential families in statistics. These real algebraic varieties have strong positivity and convexity properties, familiar from toric varieties and their moment maps. Among them are varieties of inverses of symmetric matrices satisfying linear constraints. This class includes Gaussian graphical models. We develop a general theory of exponential varieties. These are derived from hyperbolic polynomials and their integral representations. We compare the multidegrees and ML degrees of the gradient map for hyperbolic polynomials. | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.relation.isversionof | 10.1112/PLMS/PDV066 | |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.source | arXiv | |
| dc.title | Exponential varieties | |
| dc.type | Article | |
| dc.identifier.citation | Michalek, Mateusz, et al. "Exponential Varieties." Proceedings of the London Mathematical Society 112 (2016): 27-56. | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science | |
| dc.relation.journal | Proceedings of the London Mathematical Society | |
| dc.eprint.version | Author's final manuscript | |
| dc.type.uri | http://purl.org/eprint/type/ConferencePaper | |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | |
| dc.date.updated | 2019-07-09T17:11:57Z | |
| dspace.orderedauthors | Michałek, M; Sturmfels, B; Uhler, C; Zwiernik, P | |
| dspace.date.submission | 2019-07-09T17:11:58Z | |
| mit.journal.volume | 112 | |
| mit.journal.issue | 1 | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
