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The vast majority of connections between complex disease and common genetic variants were identified through meta-analysis, a powerful approach that enables large samples sizes while protecting agains...
We consider a class of sparsity-inducing regularization terms based on submodular functions. While earlier work has focused on non-decreasing functions, we explore symmetric submodular functions and t...
Happy places or happy people?A multi-level modelling approach to the analysis of happiness and well-being
well-being multi-level modelling random effects combining data
2010/4/30
This paper aims to enhance our understanding of substantive questions regarding self-reported
happiness and well-being through the specification and use of multi-level models. To date, there have bee...
Operator norm convergence of spectral clustering on level sets
Spectral clustering graph unsupervised classification levelsets connected components
2010/3/10
Following Hartigan [1975], a cluster is defined as a connected component of
the t-level set of the underlying density, i.e., the set of points for which the
density is greater than t. A clustering a...
Optimal Designs for Two-Level Factorial Experemients
Generalized linear model full factorial design cylindrical algebraic decomposition D-optimality information matrix uniform design
2010/3/11
We consider the problem of obtaining locally D-optimal designs for factorial exper-
iments with qualitative factors at two levels each with binary response. For the 22
factorial experiment with main...
Asymptotic behaviour of the integral of a function on the level set of a mixing random field
Asymptotic behaviour the integral of a function the level set of a mixing random field
2009/9/23
Asymptotic behaviour of the integral of a function on the level set of a mixing random field。
On the role of contamination level and the least favourable bahaviour of gross-error sensitivity
the role of contamination level the least favourable bahaviour gross-error sensitivity
2009/9/23
The notion of contamination level is introduced and its
characterization for any pair of distribution functions is given.
A possibility of reformulation of some basic problems of the robust
statist...
Level crossings of stochastic processes with stationary bounded variations and continuous decreasing components
Level crossings of stochastic processes stationary bounded variations
2009/9/22
Formulas for level crossing probabilities, ladder height
distributions and related characteristics of a general class of processes
with stationary bounded variations and continuous decreasing compon...
Level crossing and local time for regularized Gaussian processes
Level crossing local time regularized Gaussian processes
2009/9/22
Let (X,,t~ [0, 11) be a oentred stationary Gaussian
process defined on (D,A , P) with covariance function satisfying
Define the regularized process
X' = cp, * X and YE = Xc/oe, where CT~ = var Xf ,...
Level crossings and other level functionals of stationary Gaussian processes
Gaussian processes/fields Hermite polynomials level curve level functionals local time (factorial) moments
2009/5/18
This paper presents a synthesis on the mathematical work done on level crossings of stationary Gaussian processes, with some extensions. The main results [(factorial) moments, representation into the ...
The Distribution of Time Spent by a Standard Excursion Above a Given Level, with Applications to Ring Polymers near a Discontinuity in Potential
Standard Brownian Excursions Brownian Bridges Ring Polymers End-Attached Polymers
2009/5/8
The law for the time tau_{a} spent by a standard Brownian excursion above a given level a>0 is found using Ito excursion theory. This is achieved by conditioning the excursion to have exactly one mark...
Approximation of Bounds on Mixed Level Orthogonal Arrays
Mixed level orthogonal arrays Rao bound Gilbert Varshamovbound Error block codes Counting Importance Sampling Large deviations
2010/3/18
Mixed level orthogonal arrays are basic structures in experimental
design. We develop three algorithms that compute Rao and Gilbert-
Varshamov type bounds for mixed level orthogonal arrays. The
com...