Linear dynamic filtering with noisy input and output

Estimation problems for linear time-invariant systems with noisy input and output are considered. The smoothing problem is a least norm problem. An efficient algorithm using a Riccati-type recursion is derived. The equivalence between the optimal filter and an appropriately modified Kalman filter is established. The optimal estimate of the input signal is derived from the optimal state estimate. The result shows that the noisy input/output filtering problem is not fundamentally different from the classical Kalman filtering problem

Morphology of Würm Lateglacial and Holocene deposits in the Flemish valley (North Belgium)

The authors study the Würm Lateglacial evolution of the drainage, the morphology of the Lateglacial coversand ridges and their Holocene alterations. Special attention is drawn to sedimentological structures in relation to the reconstruction of the palaeo-environment and to the process of deposition. Palaeo-environmental and stratigraphical interpretations are based on lithological and sedimentological characteristics and successions. Palynological and 14C datings are being used but are not discussed here

An efficient algorithm to recognize local Clifford equivalence of graph states

In [Phys. Rev. A 69, 022316 (2004)] we presented a description of the action of local Clifford operations on graph states in terms of a graph transformation rule, known in graph theory as \emph{local complementation}. It was shown that two graph states are equivalent under the local Clifford group if and only if there exists a sequence of local complementations which relates their associated graphs. In this short note we report the existence of a polynomial time algorithm, published in [Combinatorica 11 (4), 315 (1991)], which decides whether two given graphs are related by a sequence of local complementations. Hence an efficient algorithm to detect local Clifford equivalence of graph states is obtained.Comment: 3 pages. Accepted in Phys. Rev.

The European Institute for Innovation through Health Data

The European Institute for Innovation through Health Data (i~HD, www.i-hd.eu) has been formed as one of the key sustainable entities arising from the Electronic Health Records for Clinical Research (IMI-JU-115189) and SemanticHealthNet (FP7-288408) projects, in collaboration with several other European projects and initiatives supported by the European Commission. i~HD is a European not-for-profit body, registered in Belgium through Royal Assent. i~HD has been established to tackle areas of challenge in the successful scaling up of innovations that critically rely on high-quality and interoperable health data. It will specifically address obstacles and opportunities to using health data by collating, developing, and promoting best practices in information governance and in semantic interoperability. It will help to sustain and propagate the results of health information and communication technology (ICT) research that enables better use of health data, assessing and optimizing their novel value wherever possible. i~HD has been formed after wide consultation and engagement of many stakeholders to develop methods, solutions, and services that can help to maximize the value obtained by all stakeholders from health data. It will support innovations in health maintenance, health care delivery, and knowledge discovery while ensuring compliance with all legal prerequisites, especially regarding the insurance of patient's privacy protection. It is bringing multiple stakeholder groups together so as to ensure that future solutions serve their collective needs and can be readily adopted affordably and at scale

Local invariants of stabilizer codes

In [Phys. Rev. A 58, 1833 (1998)] a family of polynomial invariants which separate the orbits of multi-qubit density operators $\rho$ under the action of the local unitary group was presented. We consider this family of invariants for the class of those $\rho$ which are the projection operators describing stabilizer codes and give a complete translation of these invariants into the binary framework in which stabilizer codes are usually described. Such an investigation of local invariants of quantum codes is of natural importance in quantum coding theory, since locally equivalent codes have the same error-correcting capabilities and local invariants are powerful tools to explore their structure. Moreover, the present result is relevant in the context of multipartite entanglement and the development of the measurement-based model of quantum computation known as the one-way quantum computer.Comment: 10 pages, 1 figure. Minor changes. Accepted in Phys. Rev.

An outcrop of Eemian and Early Weichselian deposits at Beernem (N.W. Belgium)

The authors study the sedimentological and paleobotanical characteristics of a continuous succession of Eemian and Weichselian deposits older than 50.000 y, B.F. It forms the major part of the Quaternary cover in a tributary valley of the Upper-Pleistocene Flemish-Valley-Belgian Coastal Plain complex at Beernem. They recognize an alluvial Eemian deposit covering the E4a, E4b, E5 and E6 pollenzones; a quick paleoclimatic transition and Weichselian deposits of a fluvio-periglacial and niveo-colluvial nature with numerous peat layers, one of which is linked with a buried paleopodzol (paleosol of Beernem) and correlatedwith the Amersfoort interstadial. The pre-Amersfoort peats are of EW I type, the post-Amersfoort ones of a PW type. The numerous syngenetic cryoturbation levels, suggest that all over the pre-Moershoofd Weichselian mean annual temperatures fell below -5°C, at least during successive rather long periods. They contrast the paleobotanical, chronological and sedimentological interpretations

Algorithms and literate programs for weighted low-rank approximation with missing data

Linear models identification from data with missing values is posed as a weighted low-rank approximation problem with weights related to the missing values equal to zero. Alternating projections and variable projections methods for solving the resulting problem are outlined and implemented in a literate programming style, using Matlab/Octave's scripting language. The methods are evaluated on synthetic data and real data from the MovieLens data sets