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Test function: A new approach for covering the central subspace
Sufficient dimension reduction Central subspace Inverse regression
2011/7/5
In this paper we offer a complete methodology for sufficient dimension reduction called the test function (TF). TF provides a new family of methods for the estimation of the central subspace (CS) base...
Identifying Hosts of Families of Viruses: A Machine Learning Approach
viral host machine learning adaboost alternating decision tree mismatch k-mers
2011/6/21
Identifying viral pathogens and characterizing their transmission is essential to developing effective
public health measures in response to a pandemic. Phylogenetics, though currently the most popul...
A trigonometric approach to quaternary code designs with application to one-eighth and one-sixteenth fractions
Aliasing index branching technique generalized minimum aberration generalized resolution Gray map nonregular design projectivity
2011/6/17
The study of good nonregular fractional factorial designs has re-
ceived significant attention over the last two decades. Recent research
indicates that designs constructed from quaternary codes (QC...
Variational Bayes approach for model aggregation in unsupervised classification with Markovian dependency
Model averaging Variational Bayes inference Markov Chain Unsu-pervised classification
2011/6/16
We consider a binary unsupervised classi cation problem where each observation
is associated with an unobserved label that we want to retrieve. More precisely, we
assume that there are two groups of...
A Gibbs approach to Chargaff's second parity rule
Reverse complementary relation Chargaff’s parity rules Gibbs measure Central Limit Theorem
2011/6/21
Chargaff’s second parity rule (CSPR) asserts that the frequencies of short polynucleotide chains are
the same as those of the complementary reversed chains. Up to now, this hypothesis has only been
...
Causality as a unifying approach between activation and connectivity analysis of fMRI data
Causality activations functional connectivity fMRI
2011/3/24
This paper indicates causality as the tool that unifies the analysis of both activations and connectivity of brain areas, obtained with fMRI data. Causality analysis is commonly applied to study conne...
Analytic Loss Distributional Approach Model for Operational Risk from the alpha-Stable Doubly Stochastic Compound Processes and Implications for Capital Allocation
Operational Risk Loss Distributional Approach Doubly stochastic Poisson Process -Stable Basel II Solvency II
2011/3/25
Under the Basel II standards, the Operational Risk (OpRisk) advanced measurement approach is not prescriptive regarding the class of statistical model utilised to undertake capital estimation. It has ...
A Constrained L1 Minimization Approach to Sparse Precision Matrix Estimation
constrained ℓ 1 minimization covariance matrix Frobenius norm Gaus-sian graphical model rate of convergence precision matrix spectral norm
2011/3/21
A constrained L1 minimization method is proposed for estimating a sparse inverse covariance matrix based on a sample of $n$ iid $p$-variate random variables. The resulting estimator is shown to enjoy ...
A Bayesian approach to comparing theoretic models to observational data: A case study from solar flare physics
A Bayesian approach observational data solar flare physics
2011/3/25
Solar flares are large-scale releases of energy in the solar atmosphere, which are characterized by rapid changes in the hydrodynamic properties of plasma from the photosphere to the corona. Solar phy...
Supersymmetry approach to Wishart correlation matrices: Exact results
Statistics Theory (math.ST) Mathematical Physics (math-ph)
2010/12/17
We calculate the marginal probability density of real and complex Wishart correlation matrices. For deep mathematical reasons, no explicit expression could be obtained for the real case so far. We cir...
A Bayesian Statistical Approach for Inference on Static Origin-Destination Matrices
Applications (stat.AP) Methodology (stat.ME)
2010/12/17
We address the problem of static OD matrix estimation from a formal statistical viewpoint. We adopt a novel Bayesian framework to develop a class of models that explicitly cast trip configurations in ...
A nonparametric urn-based approach to interacting failing systems with an application to credit risk modeling
Failing system Urn model Neutral to the right processes
2010/10/19
In this paper we propose a new nonparametric approach to interacting failing systems (FS), that is systems whose probability of failure is not negligible in a fixed time horizon, a typical example be...
Closed-form cdf and pdf of Tukey's h-distribution, the heavy-tail Lambert W approach, and how to bijectively "Gaussianize" heavy-tailed data
family of heavy-tailed distributions Tukey g-h distribution Lambert W
2010/10/19
Recently Goerg (2010) introduced Lambert W - F random variables (RVs), a new family of generalized skewed distributions. Here I will adapt this appealing framework to generate heavy (heavier) tailed ...
An MDL approach to the climate segmentation problem
Changepoints genetic algorithm level shifts
2010/10/19
This paper proposes an information theory approach to estimate the number of changepoints and their locations in a climatic time series. A model is introduced that has an unknown number of changepoint...
A Random Matrix--Theoretic Approach to Handling Singular Covariance Estimates
Random Matrix--Theoretic Approach Handling Singular Covariance Estimates
2010/10/19
In many practical situations we would like to estimate the covariance matrix of a set of variables from an insufficient amount of data. More specifically, if we have a set of $N$ independent, identica...