Search
Now showing items 471-480 of 1390
Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics
(Taylor & FrancisJournal of the American Statistical Association, 2016-03-22)
Motivated by the problem of inferring the molecular dynamics of DNA in solution, and linking them with its base-pair composition, we consider the problem of comparing the dynamics of functional time series (FTS), and of ...
Free groups and the axiom of choice
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2016-01-05)
The Nielsen–Schreier theorem states that subgroups of free groups are free. As all of its proofs use the Axiom of Choice, it is natural to ask whether the theorem is equivalent to the Axiom of Choice. Other questions arise ...
Kriging prediction for manifold-valued random fields
(ElsevierJournal of Multivariate Analysis, 2015-12-25)
The statistical analysis of data belonging to Riemannian manifolds is becoming increasingly important in many applications, such as shape analysis, diffusion tensor imaging and the analysis of covariance matrices. In many ...
Abelian quotients of mapping class groups of highly connected manifolds
(SpringerMathematische Annalen, 2015-10-12)
We compute the abelianisations of the mapping class groups of the manifolds W²ⁿ_g = g(Sⁿ × Sⁿ) for n ≥ 3 and g ≥ 5. The answer is a direct sum of two parts. The first part arises from the action of the mapping class group ...
Turán-type results for complete h-partite graphs in comparability and incomparability graphs
(SpringerOrder, 2015-01-05)
We consider an h-partite version of Dilworth's theorem with multiple partial orders. Let P be a fi nite set, and let <₁, ..., <ᵣ be partial orders on P. Let G(P, <₁, ..., <ᵣ) be the graph whose vertices are the elements ...
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.
Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs
(SpringerPublications mathématiques de l'IHÉS, 2016-01-18)
For every smooth complex projective variety W of dimension d and nonnegative Kodaira dimension, we show the existence of a universal constant m depending only on d and two natural invariants of the very general fibres of ...
Proof of a conjecture of Batyrev and Nill
(Johns Hopkins University PressAmerican Journal of Mathematics, 2016)
We prove equivalences of derived categories for the various mirrors in the Batyrev-Borisov construction. In particular, we obtain a positive answer to a conjecture of Batyrev and Nill. The proof involves passing to an ...
Modelling Interactions in High-dimensional Data with Backtracking
(Journal of Machine Learning ResearchJournal of Machine Learning Research, 2016)
We study the problem of high-dimensional regression when there may be interacting variables. Approaches using sparsity-inducing penalty functions such as the Lasso (Tibshirani, 1996) can be useful for producing interpretable ...
A Counter Example to Cercignani’s Conjecture for the d Dimensional Kac Model
(SpringerJournal of Statistical Physics, 2012-08-21)
Kac’s d dimensional model gives a linear, many particle, binary collision model from which, under suitable conditions, the celebrated Boltzmann equation, in its spatially homogeneous form, arise as a mean field limit. The ...