5 papers
On the Coupled Cluster Doubles Truncation Variety of Four Electrons
Fabian M. Faulstich, Vincenzo Galgano, Elke Neuhaus +1
We extend recent algebro-geometric results for coupled cluster theory of quantum many-body systems to the truncation varieties arising from the doubles approximation (CCD), focusin…
Matching Criterion for Identifiability in Sparse Factor Analysis
Nils Sturma, Miriam Kranzlmueller, Irem Portakal +1
Factor analysis models explain dependence among observed variables by a smaller number of unobserved factors. A main challenge in confirmatory factor analysis is determining whethe…
Torus Actions on Matrix Schubert and Kazhdan-Lusztig Varieties, and their Links to Statistical Models
Elke Neuhaus, Irem Portakal, Niharika Chakrabarty Paul
We investigate the toric geometry of two families of generalised determinantal varieties arising from permutations: Matrix Schubert varieties () and Kazhdan-Lusztig…
Elliptic curves in game theory
Abhiram Kidambi, Elke Neuhaus, Irem Portakal
We investigate Spohn curves, the algebro-geometric models of totally mixed dependency equilibria for normal-form games. These curves arise as the intersection of two q…
Algebraic Sparse Factor Analysis
Mathias Drton, Alexandros Grosdos, Irem Portakal +1
Factor analysis is a statistical technique that explains correlations among observed random variables with the help of a smaller number of unobserved factors. In traditional full f…