Gertheiss, Jan
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- PublicationMetadata onlyUpdating descriptive sensory evaluation of chicken: proposing new protocols and statistical analysis(Elsevier, 2025-09-08)
;Siebenmorgen, Claire ;Grønbeck, Marlene Schou; ; Mörlein, JohannaDescriptive sensory chicken evaluations are mostly conducted using prepared sous-vide breasts. Sustainable poultry systems in response to climate change and biodiversity loss require a closer examination of existing sensory evaluation methods. To address the new requirements, we present sensory evaluation results from two different projects. Using skin, breast, thighs, and minced variations, we demonstrate (1) how chicken carcasses can be evaluated holistically using more than the breast, (2) how animal-specific differences can be eliminated and (3) whether a classical quantitative descriptive analysis (QDA) and the more cost efficient and rapid method of Napping creates better results. This enables us to provide statistical guidance for selecting the sensory evaluation method and design for future sensory evaluations. This opens new evaluation criteria for local breeds and alternative husbandry systems. Furthermore, a new approach for analyzing Napping data is proposed. The implications of our results extend to breeders, policymakers, and scholars, providing information about sensory evaluation of chicken meat to effectively update criteria and methods. - PublicationMetadata onlyCovariate-adjusted functional data analysis for structural health monitoring(Cambridge University Press, 2025-05-15)
; ; ;Mendler, AlexanderStructural health monitoring (SHM) is increasingly applied in civil engineering. One of its primary purposes is detecting and assessing changes in structure conditions to increase safety and reduce potential maintenance downtime. Recent advancements, especially in sensor technology, facilitate data measurements, collection, and process automation, leading to large data streams. We propose a function-on-function regression framework for (nonlinear) modeling the sensor data and adjusting for covariate-induced variation. Our approach is particularly suited for long-term monitoring when several months or years of training data are available. It combines highly flexible yet interpretable semi-parametric modeling with functional principal component analysis and uses the corresponding out-of-sample Phase-II scores for monitoring. The method proposed can also be described as a combination of an “input–output” and an “output-only” method. - PublicationMetadata onlyConfidence intervals for conditional covariances of natural frequencies(International Group of Operational Modal Analysis, 2025-05)
; ; - PublicationMetadata onlyConfounder-adjusted covariances of system outputs and applications to structural health monitoringAutomated damage detection is an integral component of each structural health monitoring (SHM) system. Typically, measurements from various sensors are collected and reduced to damage-sensitive features, and diagnostic values are generated by statistically evaluating the features. Since changes in data do not only result from damage, it is necessary to determine the confounding factors (environmental or operational variables) and to remove their effects from the measurements or features. Many existing methods for correcting confounding effects are based on different types of mean regression. This neglects potential changes in higher-order statistical moments, but in particular, the output covariances are essential for generating reliable diagnostics for damage detection. This article presents an approach to explicitly quantify the changes in the covariance, using conditional covariance matrices based on a non-parametric, kernel-based estimator. The method is applied to the Munich Test Bridge and the KW51 Railway Bridge in Leuven, covering both raw sensor measurements (acceleration, strain, inclination) and extracted damage-sensitive features (natural frequencies). The results show that covariances between different vibration or inclination sensors can significantly change due to temperature changes, and the same is true for natural frequencies. To highlight the advantages, it is explained how conditional covariances can be combined with standard approaches for damage detection, such as the Mahalanobis distance and principal component analysis. As a result, more reliable diagnostic values can be generated with fewer false alarms.
- PublicationMetadata onlyFunctional data analysis: An introduction and recent developmentsFunctional data analysis (FDA) is a statistical framework that allows for the analysis of curves, images, or functions on higher dimensional domains. The goals of FDA, such as descriptive analyses, classification, and regression, are generally the same as for statistical analyses of scalar‐valued or multivariate data, but FDA brings additional challenges due to the high‐ and infinite dimensionality of observations and parameters, respectively. This paper provides an introduction to FDA, including a description of the most common statistical analysis techniques, their respective software implementations, and some recent developments in the field. The paper covers fundamental concepts such as descriptives and outliers, smoothing, amplitude and phase variation, and functional principal component analysis. It also discusses functional regression, statistical inference with functional data, functional classification and clustering, and machine learning approaches for functional data analysis. The methods discussed in this paper are widely applicable in fields such as medicine, biophysics, neuroscience, and chemistry and are increasingly relevant due to the widespread use of technologies that allow for the collection of functional data. Sparse functional data methods are also relevant for longitudinal data analysis. All presented methods are demonstrated using available software in R by analyzing a dataset on human motion and motor control. To facilitate the understanding of the methods, their implementation, and hands‐on application, the code for these practical examples is made available through a code and data supplement and on GitHub.
- PublicationMetadata onlyRegression and alignment for functional data and network topology(Oxford Univ. Press, 2024-08-13)
;Tu, Danni ;Wrobel, Julia ;Satterthwaite, Theodore D. ;Goldsmith, Jeff ;Gur, Ruben C. ;Gur, Raquel E.; ;Bassett, Dani S.Shinohara, Russell T.In the brain, functional connections form a network whose topological organization can be described by graph-theoretic network diagnostics. These include characterizations of the community structure, such as modularity and participation coefficient, which have been shown to change over the course of childhood and adolescence. To investigate if such changes in the functional network are associated with changes in cognitive performance during development, network studies often rely on an arbitrary choice of preprocessing parameters, in particular the proportional threshold of network edges. Because the choice of parameter can impact the value of the network diagnostic, and therefore downstream conclusions, we propose to circumvent that choice by conceptualizing the network diagnostic as a function of the parameter. As opposed to a single value, a network diagnostic curve describes the connectome topology at multiple scales—from the sparsest group of the strongest edges to the entire edge set. To relate these curves to executive function and other covariates, we use scalar-on-function regression, which is more flexible than previous functional data-based models used in network neuroscience. We then consider how systematic differences between networks can manifest in misalignment of diagnostic curves, and consequently propose a supervised curve alignment method that incorporates auxiliary information from other variables. Our algorithm performs both functional regression and alignment via an iterative, penalized, and nonlinear likelihood optimization. The illustrated method has the potential to improve the interpretability and generalizability of neuroscience studies where the goal is to study heterogeneity among a mixture of function- and scalar-valued measures. - PublicationMetadata onlyRegularization and Model Selection for Item-on-Items Regression with Applications to Food Products' Survey Data(2023-09-28)
; ;Gertheiss, Laura H.Ordinal data are quite common in applied statistics. Although some model selection and regularization techniques for categorical predictors and ordinal response models have been developed over the past few years, less work has been done concerning ordinal-on-ordinal regression. Motivated by survey datasets on food products consisting of Likert-type items, we propose a strategy for smoothing and selection of ordinally scaled predictors in the cumulative logit model. First, the original group lasso is modified by use of difference penalties on neighbouring dummy coefficients, thus taking into account the predictors' ordinal structure. Second, a fused lasso type penalty is presented for fusion of predictor categories and factor selection. The performance of both approaches is evaluated in simulation studies, while our primary case study is a survey on the willingness to pay for luxury food products.
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