Search
Now showing items 21-30 of 39
Problems in Ramsey theory, probabilistic combinatorics and extremal graph theory
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2015-11-10)
In this dissertation, we treat several problems in Ramsey theory, probabilistic combinatorics and extremal graph theory.
Bayesian regularization of the length of memory in reversible sequences
(WileyJournal of the Royal Statistical Society: Series B (Statistical Methodology), 2015-10-16)
Variable order Markov chains have been used to model discrete sequential data in a variety of fields. A host of methods exist to estimate the history-dependent lengths of memory which characterize these models and to predict ...
On the Subadditivity of the Entropy on the Sphere
(SpringerThe Journal of Geometric Analysis, 2015-11-17)
We present a refinement of a known entropic inequality on the sphere, finding suitable conditions under which the uniform probability measure on the sphere behaves asymptomatically like the Gaussian measure on Rᴺ with ...
Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
(Oxford University PressInternational Mathematics Research Notices, 2015-10-14)
We introduce a norm on the space of test configurations, called the minimum norm. We conjecture that uniform K-stability is equivalent to the existence of a constant scalar curvature Kähler metric. This uniformity is ...
Optimal investment: bounds and heuristics
(Incisive Financial PublishingJournal of Computational Finance, 2015-10-28)
High-dimensional optimal investment/consumption problems are hard to deal with, not least because of the difficulty in characterizing the value function. This paper tries to offer ways to determine an approximately optimal ...
Towards Automatic Model Comparison: An Adaptive Sequential Monte Carlo Approach
(Taylor & FrancisJournal of Computational and Graphical Statistics, 2015-08-17)
Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of ...
A Functional Approach to Deconvolve Dynamic Neuroimaging Data
(Taylor & FrancisJournal of the American Statistical Association, 2015-11-20)
Positron Emission Tomography (PET) is an imaging technique which can be used
to investigate chemical changes in human biological processes such as cancer development or neurochemical reactions. Most dynamic PET scans are ...
Generalised additive and index models with shape constraints
(WileyJournal of the Royal Statistical Society: Series B (Statistical Methodology), 2015-10-26)
We study generalized additive models, with shape restrictions (e.g. monotonicity, convexity and concavity) imposed on each component of the additive prediction function. We show that this framework facilitates a non-parametric ...
On the motive of some hyperKaehler varieties
(De GruyterJournal für die reine und angewandte Mathematik, 2015-06-05)
We show that the motive of the Hilbert scheme of length-n subschemes on a K3 surface or on an abelian surface admits a decomposition similar to the decomposition of the motive of an abelian variety obtained by Shermenev, ...
Transversals as Generating Sets in Finitely Generated Groups
(Cambridge University PressBulletin of the Australian Mathematical Society, 2015-08-19)
We explore transversals of finite index subgroups of finitely generated groups. We show that when H is a subgroup of a rank n group G and H has index at least n in G then we can construct a left transversal for H which ...