We introduce a Multilevel Monte Carlo method for approximating the transitiondensity for discretely observed multivariate diffusion processes. These areused within a Pseudo-marginal Metropolis-Hastings (PMMH) algorithm to do Bayesianinference on the parameters.The Pedersen representation shows how the transition density can be representedas a conditional expectation, but the corresponding Monte Ca

We show that the eccentricities, diameter, radius, and Wiener index of an undirected n-vertex graph with nonnegative edge lengths can be computed in time O(n * binom{k+ceil[log n]}{k} * 2^k k^2 log n), where k is the treewidth of the graph. For every epsilon>0, this bound is n^{1+epsilon}exp O(k), which matches a hardness result of Abboud, Vassilevska Williams, and Wang (SODA 2015) and closes an o

Nonlinear parabolic equations are frequently encountered in applications and efficient approximating techniques for their solution are of great importance. In order to provide an effective scheme for the temporal approximation of such equations, we present a sum splitting scheme that comes with a straightforward parallelization strategy. The convergence analysis is carried out in a variational fra

In this paper, we show how each independent spatial mode of a circular array can be individually encoded and collimated to yield high ergodic spectral sum efficiency of an uplink mobile communication system. We show that every mode generated with the help of Rotman Lens is orthogonal to every other mode. This reduces the spatial cross-coupling and thereby enhances data throughput.We also show that

Biobanks are essential infrastructures in current health and biomedical research. Advanced scientific research increasingly relies on processing and correlating large amounts of genetic, clinical and behavioural data. These data are particularly sensitive in nature and the risk for privacy invasion and misuse is high. The EU General Data Protection Regulation (GDPR) developed and increased harmoni

It is a universally acknowledged truth that the right to strike is one of the fundamentals of labour law. But what is it exactly? To what extent should it be protected and, thus, which limits are permissible?To find a unique answer to those questions is an uneasy task. In the contemporary multilevel legal framework the right to strike is regulated by a variety of provisions, moving from internatio

Quantitative measurements of CH4 mole fractions at different HAB in the flame were realized by a calibration measurement in a low pressure gas flow of N2 with a small admixture of known amount of CH4. A comprehensive study of the collision effects on the IRPS signal was performed in order to quantify the flame measurement. The concentration and temperature measurements were found to agree reasonab

It is well established that the utilization of unused millimeter-wave (mmWave) spectrum is inevitable due to unavailability of required bandwidth in the conventional RF band to support the high data demands of 5G. Large antenna arrays with beamforming capabilities are required to compensate for the high path loss at mmWave frequencies. We are at the verge of a massive mmWave radio front-end deploy

We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone- invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.

BACKGROUND: Although rare in the general population, highly penetrant germline mutations in CDKN2A are responsible for 5-40% of melanoma cases reported in melanoma-prone families. We sought to determine whether MELPREDICT was generalizable to a global series of melanoma families and whether performance improvements can be achieved.METHODS: 2,116 familial melanoma cases were ascertained by the inte