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An Interpretation of the Moore-Penrose Generalized Inverse of a Singular Fisher Information Matrix
Fisher Information Matrix Moore-Penrose
2011/7/19
An interpretation of the Moore-Penrose generalized inverse of a singular Fisher information matrix (FIM) is presented in this paper, from the perspective of Cramer-Rao bound (CRB). CRB is a lower boun...
Martingale Couplings and Bounds on the Tails of Probability Distributions
Martingale Couplings Probability Distributions
2011/7/19
Hoeffding has shown that tail bounds on the distribution for sampling from a finite population with replacement also apply to the corresponding cases of sampling without replacement.
Bayesian experimental design for the active nitridation of graphite by atomic nitrogen
Optimal experimental design Uncertainty quantication
2011/7/19
The problem of optimal data collection to efficiently learn the model parameters of a graphite nitridation experiment is studied in the context of Bayesian analysis using both synthetic and real exper...
Evolution of the CMB Power Spectrum Across WMAP Data Releases: A Nonparametric Analysis
Cosmic microwave background (CMB) angular power spectrum
2011/7/19
We present a comparative analysis of the WMAP 1-, 3-, 5-, and 7-year data releases for the CMB angular power spectrum, with respect to the following three key questions: (a) How well is the angular po...
A Direct Estimation Approach to Sparse Linear Discriminant Analysis
Classification constrained l1-minimization Fisher’s rule
2011/7/19
This paper considers sparse linear discriminant analysis of high-dimensional data. In contrast to the existing methods which are based on separate estimation of the precision matrix $\O$ and the diffe...
Sequential Lasso for feature selection with ultra-high dimensional feature space
extended BIC feature selection selection consistency Sequential Lasso
2011/7/19
We propose a novel approach, Sequential Lasso, for feature selection in linear regression models with ultra-high dimensional feature spaces.
Heavy tailed priors: an alternative to non-informative priors in the estimation of proportions on small areas
Survey Sampling Exponential Family Objective Robust Priors
2011/7/19
We explore the Cauchy and a new heavy tailed (Fuquene, Perez and Pericchi (2011)) priors to estimate proportions on small areas.
Linear Latent Force Models using Gaussian Processes
Gaussian Processes Linear Latent Force Models
2011/7/19
Purely data driven approaches for machine learning present difficulties when data is scarce relative to the complexity of the model or when the model is forced to extrapolate.
A simple variance inequality for U-statistics of a Markov chain with applications
U-statistics Markov chains Inequalities Limit theorems
2011/7/19
We establish a simple variance inequality for U-statistics whose underlying sequence of random variables is an ergodic Markov Chain.
Statistical Topic Models for Multi-Label Document Classification
Topic Models LDA Multi-Label Classification Document Modeling
2011/7/19
Machine learning approaches to multi-label document classification have (to date) largely relied on discriminative modeling techniques such as support vector machines. A drawback of these approaches i...
Homogeneity and change-point detection tests for multivariate data using rank statistics
Homogeneity change-point detection tests multivariate data
2011/7/19
Detecting and locating changes in highly multivariate data is a major concern in several current statistical applications. In this context, the first contribution of the paper is a novel non-parametri...
Multistage tests of multiple hypotheses
Closed testing Family-wise error rate Multiple hypothesis testing
2011/7/19
Conventional multiple hypothesis tests use step-up, step-down, or closed testing methods to control the overall error rates.
High-Dimensional Structure Estimation in Ising Models: Tractable Graph Families
Graphical model selection Ising models Greedy algorithms
2011/7/19
We consider the problem of high-dimensional Ising (graphical) model selection. We propose a simple algorithm for structure estimation based on the thresholding of the empirical conditional mutual info...
Approximate Interval Method for Epistemic Uncertainty Propagation using Polynomial Chaos and Evidence Theory
Approximate Interval Method Epistemic Uncertainty Propagation
2011/7/19
The paper builds upon a recent approach to find the approximate bounds of a real function using Polynomial Chaos expansions.
Decision Based Uncertainty Propagation Using Adaptive Gaussian Mixtures
Adaptive Gaussian Sum Decision Making
2011/7/19
Given a decision process based on the approximate probability density function returned by a data assimilation algorithm, an interaction level between the decision making level and the data assimilati...