Abstract Relational event network data are becoming increasingly available. Consequently, statistical models for such have also surfaced. These mainly focus on the analysis of single networks; while in many applications, multiple independent sequences observed, which likely to display similar social interaction dynamics. Furthermore, methods testing hypotheses about behavior underdeveloped. The...

The goal of this work is to derive and justify a multilevel preconditioner of optimal arithmetic complexity for symmetric interior penalty discontinuous Galerkin finite element approximations of second order elliptic problems. Our approach is based on the following simple idea given in [R.D. Lazarov, P.S. Vassilevski, L.T. Zikatanov, Multilevel preconditioning of second order elliptic discontin...

In this paper, we consider the infinite-dimensional integration problem on weighted reproducing kernel Hilbert spaces with norms induced by an underlying function space decomposition of ANOVA-type. The weights model the relative importance of different groups of variables. We present new randomized multilevel algorithms to tackle this integration problem and prove upper bounds for their randomi...

Bayesian Nash equilibria that fail to be hindsight (or alternatively ex-post) stable do not provide reliable predictions of outcomes of games in many applications. We characterize a family of Bayesian games in which all equilibria are asymptotically hindsight-stable, and discuss the consequences of this robustness property. In contrast to earlier literature, we establish hindsight stability in ...

Tracking interacting human body parts from a single two-dimensional view is difficult due to occlusion, ambiguity and spatio-temporal discontinuities. We present a Bayesian network method for this task. The method is not reliant upon spatio-temporal continuity, but exploits it when present. Our inferencebased tracking model is compared with a CONDENSATION model augmented with a probabilistic ex...

In many applications we are interested in making inference on latent time series from indirect measurements, which are often low-dimensional projections resulting from mixing or aggregation. Positron emission tomography, super-resolution, and network traffic monitoring are some examples. Inference in such settings requires solving a sequence of ill-posed inverse problems, yt = Axt , where the p...

This paper proposes a hybrid carrier based space vector modulation suitable for multiphase multilevel inverters. Multiphase multilevel inverters are controlled by this hybrid modulation to provide multiphase variable voltage and variable frequency supply. The proposed modulation combines the benefits of fundamental frequency modulation and carrier based space vector modulation strategies. The m...

This tutorial presents an overview of multilevel or hierarchical data modelling and its applications in medicine. A description of the basic model for nested data is given and it is shown how this can be extended to t exible models for repeated measures data and more complex structures involving cross-classi cations and multiple membership patterns within the software package MLwiN. A variety o...

This tutorial presents an overview of multilevel or hierarchical data modelling and its applications in medicine. A description of the basic model for nested data is given and it is shown how this can be extended to fit flexible models for repeated measures data and more complex structures involving cross-classifications and multiple membership patterns within the software package MLwiN. A vari...