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Discussion of ‘An adaptive resampling test for detecting the presence of significant predictors’ by I. W. McKeague and M. Qian
(Taylor & FrancisJournal of the American Statistical Association, 2016-01-15)
We are grateful for the opportunity to discuss this new test, based on marginal screening, of a global null hypothesis in linear models. Marginal screening has become a very popular tool for reducing dimensionality in ...
Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces
(De GruyterJournal für die reine und angewandte Mathematik, 2016)
We investigate a semi-continuity property for stability conditions for sheaves that is important for the problem of variation of the moduli spaces as the stability condition changes. We place this in the context of a notion ...
Categories of spaces built from local models
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity Hall, 2016-06-28)
Many of the classes of objects studied in geometry are defined by first choosing a class of nice spaces and then allowing oneself to glue these local models together to construct more general spaces. The most well-known ...
Evolution of initially contracting Bianchi Class A models in the presence of an ultra-stiff anisotropic pressure fluid
(Institute of PhysicsClassical and Quantum Gravity, 2016-05-12)
We study the behaviour of Bianchi class A universes containing an ultra-stiff isotropic ghost field and a fluid with anisotropic pressures which is also ultra-stiff on the average. This allows us to investigate whether ...
The symplectic arc algebra is formal
(Duke University PressDuke Mathematical Journal, 2016-01-28)
We prove a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology over fields of characteristic zero. The key ingredient is the construction of a degree-one ...
A short proof that every finite graph has a tree-decomposition displaying its tangles
(ElsevierEuropean Journal of Combinatorics, 2016-06-08)
We give a short proof that every finite graph (or matroid) has a tree-decomposition that displays all maximal tangles.
This theorem for graphs is a central result of the graph minors project of Robertson and Seymour and ...
On Short Time Existence of Lagrangian Mean Curvature Flow
(SpringerMathematische Annalen, 2016)
We consider a short time existence problem motivated by a conjecture of Joyce in [8]. Specifically we prove that given any compact Lagrangian L ⊂ C^n with a finite number of singularities, each asymptotic to a pair of ...
Towards mirror symmetry for varieties of general type
(ElsevierAdvances in Mathematics, 2016)
Balanced metrics on twisted Higgs bundles
(SpringerMathematische Annalen, 2016)
SMOOTH PRINCIPAL COMPONENT ANALYSIS OVER TWO-DIMENSIONAL MANIFOLDS WITH AN APPLICATION TO NEUROIMAGING
(Institute of Mathematical StatisticsThe Annals of Applied Statistics, 2016-01-05)
Motivated by the analysis of high-dimensional neuroimaging signals located over the cortical surface, we introduce a novel Principal Component Analysis technique that can handle functional data located over a two-dimensional ...