Partial orderings of default predictions

We compare and generalize various partial orderings of probability forecasters according to the quality of their predictions. It appears that the calibration requirement is quite at odds with the possibility of some such ordering. However, if the requirements of calibration and identical sets of debtors are relaxed, comparability obtains more easily. Taking default predictions in the credit rating industry as an example, we show for a data base of 5333 (Moody’s) and 6505 ten-year default predictions (S&P), that Moody’s and S&P cannot be ordered neither according to their grade distributions given default or non-default or to their Ginicurves, but Moody’s dominate S&P with respect to the ROC-criterion

Quantum Gravitational Contributions to the CMB Anisotropy Spectrum

We derive the primordial power spectrum of density fluctuations in the framework of quantum cosmology. For this purpose we perform a Born-Oppenheimer approximation to the Wheeler-DeWitt equation for an inflationary universe with a scalar field. In this way we first recover the scale-invariant power spectrum that is found as an approximation in the simplest inflationary models. We then obtain quantum gravitational corrections to this spectrum and discuss whether they lead to measurable signatures in the CMB anisotropy spectrum. The non-observation so far of such corrections translates into an upper bound on the energy scale of inflation.Comment: 4 pages, v3: sign error in Eq. (5) and its consequences correcte

Higgs-strahlung and WWWW fusion in e+e−e^+e^- collisions

Higgs-strahlung $e^+e^-\to ZH$ and $WW$ fusion $e^+e^-\to\bar\nu_e\nu_e H$ are the most important mechanisms for the production of Higgs bosons in $e^+e^-$ collisions at LEP2 and future $e^+e^-$ linear colliders. We have calculated the cross sections and energy/angular distributions of the Higgs boson for these production mechanisms. When the $Z$ boson decays into (electron-)neutrinos, the two production amplitudes interfere. In the cross-over region between the two mechanisms the interference term is positive and of the same size as the individual cross sections, thus enhancing the production rate.Comment: 9 pages LaTeX2e (using standard graphicx package), 8 figure

Isomorphism between Linear Codes and Arithmetic Codes for Safe Data Processing in Embedded Software Systems

We present a transformation rule to convert linear codes into arithmetic codes. Linear codes are usually used for error detection and correction in broadcast and storage systems. In contrast, arithmetic codes are very suitable for protection of software processing in computer systems. This paper shows how to transform linear codes protecting the data stored in a computer system into arithmetic codes safeguarding the operations built on this data. Combination of the advantages of both coding mechanisms will increase the error detection capability in safety critical applications for embedded systems by detection and correction of arbitrary hardware faults

Etruskische Heiligtümer des 8.–5. Jhs. v. Chr. als Wirtschaftsräume und Konsumptionsorte von Keramik

While many aspects of Etruscan religion are intensively discussed and studied through current conferences, publications and fieldwork, general research and an overview of the socio-political and economic significance of the religious sphere in Etruscan society is still lacking. This volume examines the economic roles and functions of sanctuaries, as well as their pottery assemblages and vase inscriptions, in the Etruscan heartland during the 8th–5th cent. BCE. The investigation of the Etruscan sacred economy is performed on the basis of three main research questions: the reconstruction of pottery consumption patterns, the identification of production and crafts embedded into sacred contexts, and finally the analysis of the Etruscan sacred landscape as an indicator of socio-political structures and processes

Etruskische Heiligtümer des 8.–5. Jhs. v. Chr. als Wirtschaftsräume und Konsumptionsorte von Keramik

While many aspects of Etruscan religion are intensively discussed and studied through current conferences, publications and fieldwork, general research and an overview of the socio-political and economic significance of the religious sphere in Etruscan society is still lacking. This volume examines the economic roles and functions of sanctuaries, as well as their pottery assemblages and vase inscriptions, in the Etruscan heartland during the 8th–5th cent. BCE. The investigation of the Etruscan sacred economy is performed on the basis of three main research questions: the reconstruction of pottery consumption patterns, the identification of production and crafts embedded into sacred contexts, and finally the analysis of the Etruscan sacred landscape as an indicator of socio-political structures and processes

A Normalized Autoencoder for LHC Triggers

Autoencoders are an effective analysis tool for the LHC, as they represent one of its main goal of finding physics beyond the Standard Model. The key challenge is that out-of-distribution anomaly searches based on the compressibility of features do not apply to the LHC, while existing density-based searches lack performance. We present the first autoencoder which identifies anomalous jets symmetrically in the directions of higher and lower complexity. The normalized autoencoder combines a standard bottleneck architecture with a well-defined probabilistic description. It works better than all available autoencoders for top vs QCD jets and reliably identifies different dark-jet signals.Comment: 26 pages, 11 figures; update based on referees repor