Determining the most appropriate network architecture for a data generating process (DGP) is a fundamental aspect of modeling relationships via artiicial neural networks. Cross-validatory techniques rank among the most popular approaches toward architecture-selection. Cross-validation is used to estimate the expected squared prediction error of a model. Architecture-selection via cross-validati...

The quantitative structure property relationship (QSPR) for supercooled liquid vapour pressures (pL) of polybrominated diphenyl ethers (PBDEs) was investigated. The molecular distance–edge vector (MDEV) index was used as the structural descriptor. The quantitative relationship between the MDEV index and log pL was modelled by multivariate linear regression (MLR) and an artificial neural network...

Degrees of belief are formed using observed ev­ idence and stat ist ical background in format ion. In this paper we examine the process of how pr ior degrees of belief derived f rom the evidence are combined w i th stat ist ical data to form more specific degrees of belief. A stat ist ical model for this process then is shown to vindicate the cross-entropy min imizat ion principle as a rule for...

Although non-parametric tests have already been proposed for that purpose, statistical significance tests for non-standard measures (different from the classification error) are less often used in the literature. This paper is an attempt at empirically verifying how these tests compare with more classical tests, on various conditions. More precisely, using a very large dataset to estimate the w...

1. Integral Estimate: Ĥ(x) = − ∫ p̂(x) log p̂(x)dx 2. Re-substitution Estimate: Ĥ(x) = − 1 n ∑n i=1 log p̂(Xi) where p̂ is obtained using the samples {X1, ..., Xn}. 3. Splitting Data Estimate: Ĥ(x) = − 1 m ∑m i=1 log p̂(Xi) where p̂ is obtained using the samples {Xm+1, ..., Xn}. A cross-validation estimate can be defined similarly, e.g. the leave-one-out estimate is given as Ĥ(x) = − 1 n ∑n i=1 log p̂...

Genomic selection (GS) is becoming an important selection tool in crop breeding. In this study, we compared the ability of different GS models to predict time to young microspore (TYM), a flowering time-related trait, spike grain number under control conditions (SGNC) and spike grain number under osmotic stress conditions (SGNO) in two wheat biparental doubled haploid populations with unrelated...

A logic is defined that allows to express in­ formation about statistical probabilities and about degrees of belief in specific proposi­ tions. By interpreting the two types of proba­ bilities in one common probability space, the semantics given are well suited to model the influence of statistical information on the for­ mation of subjective beliefs. Cross entropy minimization is a key element...

We study precise calculation of neutralino relic density in the minimal supergravity model. We compare the exact formula for the thermal average of the neutralino annihilation cross section times relative velocity with the expansion formula in terms of the temperature, including all the contributions to neutralino annihilation cross section analytically. We confirm that the expansion formula fa...

The AMAXDOAS instrument on board the DLRFalcon is an airborne multi-axis UV/visible spectrometer which was designed specifically for the validation of products from the SCIAMACHY instrument on ENVISAT. The AMAXDOAS instrument was flown during two large SCIAMACHY validation campaigns in September 2002 and February and March 2003. In this paper we will briefly introduce the campaign, then show th...