TY - JOUR A1 - Stulpe, Werner A1 - Swat, Maciej T1 - Quantum States as Probability Measures JF - Foundations of Physics Letters. 14 (2001), H. 3 Y1 - 2001 SN - 1572-9524 SP - 285 EP - 293 ER - TY - JOUR A1 - Stulpe, Werner T1 - Conditional Expectations and Stochastic Processes in Quantum Probability JF - Information complexity and control in quantum physics : proceedings of the 4. Internat. Seminar on Mathematical Theory of Dynamical Systems and Microphysics, Udine, Sept. 4 - 13, 1985 / ed. by A. Blaquiere ... Y1 - 1987 SN - 3-211-81992-4 N1 - Courses and lectures / International Centre for Mechanical Sciences ; 294, International Seminar on Mathematical Theory of Dynamical Systems and Microphysics <4,1985, Udine> SP - 223 EP - 234 PB - Springer CY - Wien [u.a.] ER - TY - JOUR A1 - Weigand, Christoph T1 - Optimal Adjustment Policies JF - Proceedings of the First Umeå-Würzburg Conference in Statistics : Kronlund Conference Center and University of Umeå, September 10 - 14, 1990 / ed. by Kurt Brännäs Y1 - 1990 SN - 91-7174-564-5 N1 - Umeå-Würzburg Conference in Statistics <1, 1990> SP - 147 EP - 158 PB - Univ. of Umeå CY - Umeå ER - TY - JOUR A1 - Weigand, Christoph T1 - A new Approach for Optimal Control of a Production process JF - Economic Quality Control. 7 (1992) Y1 - 1992 SN - 0940-5151 SP - 225 EP - 251 ER - TY - JOUR A1 - Bogoyavlenskiy, A. P. A1 - Berezin, V. E. A1 - Ogneva, A. V. A1 - Tolmacheva, V. P. A1 - Digel, Ilya A1 - Khudyakova, S. S. T1 - Immunostimulating activity of a saponin-containing extract of Saponaria officinalis JF - Voprosy virusologii Y1 - 1999 SN - 0507-4088 VL - 44 IS - 5 SP - 229 EP - 232 ER - TY - JOUR A1 - Ferrein, Alexander A1 - Fritz, Christian A1 - Lakemeyer, Gerhard T1 - Extending DTGOLOG with Options / Ferrein, Alexander ; Fritz, Christian ; Lakemeyer, Gerhard JF - IJCAI-03, Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence, Acapulco, Mexico, August 9-15, 2003 Y1 - 2003 SP - 1391 EP - 1393 ER - TY - JOUR A1 - Mulhern, Colm A1 - Bialonski, Stephan A1 - Kantz, Holger T1 - Extreme events due to localization of energy JF - Physical Review E Y1 - 2015 U6 - https://doi.org/10.1103/PhysRevE.91.012918 SN - 2470-0053 VL - 91 IS - 1 SP - 012918 ER - TY - JOUR A1 - Becht, Alexander A1 - Schollmayer, Curd A1 - Monakhova, Yulia A1 - Holzgrabe, Ulrike T1 - Tracing the origin of paracetamol tablets by near-infrared, mid-infrared, and nuclear magnetic resonance spectroscopy using principal component analysis and linear discriminant analysis JF - Analytical and Bioanalytical Chemistry N2 - Most drugs are no longer produced in their own countries by the pharmaceutical companies, but by contract manufacturers or at manufacturing sites in countries that can produce more cheaply. This not only makes it difficult to trace them back but also leaves room for criminal organizations to fake them unnoticed. For these reasons, it is becoming increasingly difficult to determine the exact origin of drugs. The goal of this work was to investigate how exactly this is possible by using different spectroscopic methods like nuclear magnetic resonance and near- and mid-infrared spectroscopy in combination with multivariate data analysis. As an example, 56 out of 64 different paracetamol preparations, collected from 19 countries around the world, were chosen to investigate whether it is possible to determine the pharmaceutical company, manufacturing site, or country of origin. By means of suitable pre-processing of the spectra and the different information contained in each method, principal component analysis was able to evaluate manufacturing relationships between individual companies and to differentiate between production sites or formulations. Linear discriminant analysis showed different results depending on the spectral method and purpose. For all spectroscopic methods, it was found that the classification of the preparations to their manufacturer achieves better results than the classification to their pharmaceutical company. The best results were obtained with nuclear magnetic resonance and near-infrared data, with 94.6%/99.6% and 98.7/100% of the spectra of the preparations correctly assigned to their pharmaceutical company or manufacturer. KW - IR KW - Manufacturer KW - Linear discriminant analysis KW - Principal component analysis Y1 - 2021 U6 - https://doi.org/10.1007/s00216-021-03249-z SN - 1618-2650 VL - 413 SP - 3107 EP - 3118 PB - Springer Nature ER - TY - JOUR A1 - Lindner, Simon A1 - Burger, René A1 - Rutledge, Douglas N. A1 - Do, Xuan Tung A1 - Rumpf, Jessica A1 - Diehl, Bernd W. K. A1 - Schulze, Margit A1 - Monakhova, Yulia T1 - Is the calibration transfer of multivariate calibration models between high- and low-field NMR instruments possible? A case study of lignin molecular weight JF - Analytical chemistry N2 - Although several successful applications of benchtop nuclear magnetic resonance (NMR) spectroscopy in quantitative mixture analysis exist, the possibility of calibration transfer remains mostly unexplored, especially between high- and low-field NMR. This study investigates for the first time the calibration transfer of partial least squares regressions [weight average molecular weight (Mw) of lignin] between high-field (600 MHz) NMR and benchtop NMR devices (43 and 60 MHz). For the transfer, piecewise direct standardization, calibration transfer based on canonical correlation analysis, and transfer via the extreme learning machine auto-encoder method are employed. Despite the immense resolution difference between high-field and low-field NMR instruments, the results demonstrate that the calibration transfer from high- to low-field is feasible in the case of a physical property, namely, the molecular weight, achieving validation errors close to the original calibration (down to only 1.2 times higher root mean square errors). These results introduce new perspectives for applications of benchtop NMR, in which existing calibrations from expensive high-field instruments can be transferred to cheaper benchtop instruments to economize. Y1 - 2022 SN - 1520-6882 U6 - https://doi.org/10.1021/acs.analchem.1c05125 VL - 94 IS - 9 SP - 3997 EP - 4004 PB - ACS Publications CY - Washington, DC ER - TY - JOUR A1 - Grajewski, Matthias A1 - Köster, Michael A1 - Turek, Stefam T1 - Numerical analysis and implementational aspects of a new multilevel grid deformation method JF - Applied Numerical Mathematics N2 - Recently, we introduced and mathematically analysed a new method for grid deformation (Grajewski et al., 2009) [15] we call basic deformation method (BDM) here. It generalises the method proposed by Liao et al. (Bochev et al., 1996; Cai et al., 2004; Liao and Anderson, 1992) [4], [6], [20]. In this article, we employ the BDM as core of a new multilevel deformation method (MDM) which leads to vast improvements regarding robustness, accuracy and speed. We achieve this by splitting up the deformation process in a sequence of easier subproblems and by exploiting grid hierarchy. Being of optimal asymptotic complexity, we experience speed-ups up to a factor of 15 in our test cases compared to the BDM. This gives our MDM the potential for tackling large grids and time-dependent problems, where possibly the grid must be dynamically deformed once per time step according to the user's needs. Moreover, we elaborate on implementational aspects, in particular efficient grid searching, which is a key ingredient of the BDM. Y1 - 2010 U6 - https://doi.org/10.1016/j.apnum.2010.03.017 SN - 0168-9274 VL - 60 IS - 8 SP - 767 EP - 781 PB - Elsevier CY - Amsterdam ER -