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Small Value Probabilities for Supercritical Branching Processes with Immigration
Supercritical Galton-Watson branching process small value probability immigration
2016/1/20
We consider a supercritical Galton-Watson branching process with immigration. It is well known that under suitable conditions on the offspring and immigration distributions, there is a finite,strictly...
On the eigenfunctions of the complex Ornstein-Uhlenbeck operators
eigenfunctions complex Ornstein-Uhlenbeck operators
2016/1/20
Starting from the 1-dimensional complex-valued Ornstein-Uhlenbeck process, we present two natural ways to imply the associated eigenfunctions of the 2-dimensional normal Ornstein-Uhlenbeck operators i...
Multitype Branching Brownian Motion and Traveling Waves
Multitype branching Brownian motion Spine approach Ad- ditive martingale Traveling wave solution
2016/1/20
This article studies the parabolic system of equations which is closely related to multitype branching Brownian motion. Particular attention is paid to the monotone traveling wave solutions of this sy...
Complementary Design Theory for Uniform Designs
Complementary design discrepancy uniformity
2016/1/20
Uniform design is to seek its design points to be uniformly scattered on the experimental domain under some discrepancy measure. In this paper all the design points of a full factorial design can be s...
Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the net-work setting, critical nodes of different indices are defined...
Compressive Network Analysis
network data analysis compressive sensing Radon basis pursuit
2016/1/20
Modern data acquisition routinely produces massive amounts of network data.Though many methods and models have been proposed to analyze such data, the research of network data is largely disconnected ...
On l2 Error Bounds of the Elastic Net when p>>n
Lasso naive Elastic Net Elastic Net model selection consistency estimation consistency
2016/1/20
We study the estimation property of the Elastic Net in high-dimensional settings where the number of parameters p is comparable to or larger than the sample size n. In such a situation one often assum...
Near Unit Root in the Spatial Autoregressive Model
Spatial autoregressive model Spatial unit root Near unit root Two stage least square Quasi-maximum likelihood estimatio
2016/1/19
This paper studies the spatial autoregressive (SAR) model for cross sectional data when the true spatial e¤ect parameter is near unity. We decompose the data generating process into an unstable compon...
Asymmetric Nested Lattice Samples
Computer experiment Design of experiments Asymmetric orthogonal ar- ray Orthogonal array based Latin hypercube Sequential design
2016/1/19
We propose an approach for constructing asymmetric nested lattice samples by randomizing asymmetric nested orthogonal arrays. Such designs possess a desirable nested structure and have attractive spac...
The Lasso under Poisson-like Heteroscedasticity
Lasso Poisson-like Model Sign Consistency Heteroscedas- ticity
2016/1/19
The performance of the Lasso is well understood under the assumptions of the standard sparse linear model with homoscedastic noise. However, in several applications, the standard model does not descri...
Nonparametric Regression with Discrete Covariate and Missing Values
Nonparametric Regression Discrete kernel smoothing Imputation Missing Values Variance Reduction
2016/1/19
We consider nonparametric regression with a mixture of continuous and discrete ex-planatory variables where realizations of the response variable may be missing. An impu-tation based nonparametric reg...
An Efficient Method for Large-scale Slack Allocation
timing graph, slack allocation delay budgeting convex optimization
2015/7/9
We consider a timing or project graph, with given delays on the edges and given arrival times at the source and sink nodes. We are to find the arrival times at the other nodes; these determine the tim...
Utilizing Statistical Semantic Similarity Techniques for Ontology Mapping– with Applications to AEC Standard Models
ontology mapping similarity analysis information interoperation statistical analysis techniques
2015/6/30
In the Architecture, Engineering and Construction (AEC) industry, there exist a number of ontological standards to describe the semantics of building models.Although the standards share similar scopes...
Exploiting Structural Complexity for Robust and Rapid Hyperspectral Imaging
Hyperspectral imaging de-noising Limited an-gle tomography low-rank recovery
2013/6/14
This paper presents several strategies for spectral de-noising of hyperspectral images and hypercube reconstruction from a limited number of tomographic measurements. In particular we show that the no...
Privileged Information for Data Clustering
Clustering Privileged Information Hidden Information Master-Class Learning Machine Learning
2013/6/17
Many machine learning algorithms assume that all input samples are independently and identically distributed from some common distribution on either the input space X, in the case of unsupervised lear...