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In many applications, it is of interest to assess the dependence structure in multivariate longitudinal data. Discovering such dependence is challenging due to the dimensionality involved. By concate...
The brain's structural and functional systems, protein-protein interaction, and gene networks are examples of biological systems that share some features of com-plex networks, such as highly connected...
In this thesis we study adaptive nonparametric regression with noise misspecifi-cation and the complexity of approximation of random fields in dependence of the dimension. First, we consider the prob...
We study estimation of the operator in the linear modelY = (X) +", when XandY take values in Hilbert spacesH1 andH2, respectively. Our main objective is to obtain consistency without imposing some rat...
This paper addresses the prediction of functional time series. Existing contributions to this problem have largely focused on the special case of rst-order functional autoregressive processes because...
Motivated by the practice of exploratory research, we for-mulate an approach to multiple testing that reverses the conventional roles of the user and the multiple testing procedure. Traditionally, the...
In a context where most published articles are devoted to thedevelopment of “new meth-ods”, comparison studies are generally appreciated by readers but surprisingly given poor consideration by many sc...
A vast amount of textual web streams is influenced by events or phenomena emerging in the real world. The social web forms an excellent modern paradigm, where unstructured user generated content is pu...
We present an embedding of stochastic optimal control problems, of the so called path integral form, into reproducing kernel Hilbert spaces. Using consistent, sample based estimates of the embedding l...
Computer codes are widely used to describe physical processes in lieu of physical observations.In some cases, more than one computer simulator, each with di erent degrees of delity, can be used to ex...
Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function is expensive to evaluate but relatively cheap to sample from. In ABC,a population of particles in the...
We analyze the convergence of the alternating direction method ofmultipliers (ADMM) for solving the problem of minimizing a nonsmooth convex separable function subject to linear constraints. Previous ...
We examine a fundamental problem that models various active sampling setups, such as network tomography. We analyze sampling of a multivariate normal distribution with an unknown expectation that need...
We consider the problem of testing a particular type of composite null hypothesis under a nonparametric multivariate regression model. For a given quadraticfunctional Q, the null hypothesis states tha...
Wireless sensor networks are composed of dis-tributed sensors that can be used for signal detection or classification. The likelihood functions of the hypotheses are often not known in advance, and de...

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