The dimension of the Incipient Infinite Cluster

We study the Incipient Infinite Cluster (IIC) of high-dimensional bond percolation on $\mathbb{Z}^d$. We prove that the mass dimension of IIC almost surely equals $4$ and the volume growth exponent of IIC almost surely equals $2$.Comment: 9 page

A Novel Convex Relaxation for Non-Binary Discrete Tomography

We present a novel convex relaxation and a corresponding inference algorithm for the non-binary discrete tomography problem, that is, reconstructing discrete-valued images from few linear measurements. In contrast to state of the art approaches that split the problem into a continuous reconstruction problem for the linear measurement constraints and a discrete labeling problem to enforce discrete-valued reconstructions, we propose a joint formulation that addresses both problems simultaneously, resulting in a tighter convex relaxation. For this purpose a constrained graphical model is set up and evaluated using a novel relaxation optimized by dual decomposition. We evaluate our approach experimentally and show superior solutions both mathematically (tighter relaxation) and experimentally in comparison to previously proposed relaxations

E.O.Q.L.: A revised and improved version of A.O.Q.L.

Sampling;probability theory

Bayesian discovery sampling: A simple model of Bayesian inference in auditing

Auditing;Sampling;accountancy

Applications of statistical methods and techniques to auditing and accounting

Statistical Methods;Auditing;accounting/ accountancy

Automatic alignment for three-dimensional tomographic reconstruction

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to reconstruct the object. Given noisy and incomplete measurements, the inverse problem is typically solved through a regularized least-squares approach. A challenge for both approaches is that in practice the exact directions and offsets of the x-rays are only known approximately due to, e.g. calibration errors. Such errors lead to artifacts in the reconstructed image. In the case of sufficient sampling and geometrically simple misalignment, the measurements can be corrected by exploiting so-called consistency conditions. In other cases, such conditions may not apply and we have to solve an additional inverse problem to retrieve the angles and shifts. In this paper we propose a general algorithmic framework for retrieving these parameters in conjunction with an algebraic reconstruction technique. The proposed approach is illustrated by numerical examples for both simulated data and an electron tomography dataset

Sourcing IT Skills in Organizations: A Comparison Among European Countries

Organizations deal with the matter of sourcing and governing their IT skills. This paper provides insights how this is done by firms in different European countries. It addresses the insourcing/outsourcing of IT skills trade-off, and explores the effects of country characteristics. Analyses are based on 1,464 companies extracted from the E-business W@tch dataset, covering two distinct industries in eight European Countries around the year 2003. It appears that European organizations, then, marginally recruited IT personnel on the external labour market (insourcing). Instead, outsourcing and allocating IT training were more popular as a sourcing policy. Also, it appeared that different policies to attain IT skills do not coincide. Sourcing policies significantly vary between countries, taken industry and size effects into account. Suggestions for interpreting these variations between companies and countries are put forward