scholarly journals Depth-based Classification for Multivariate Data

2017 ◽  
Vol 46 (3-4) ◽  
pp. 117-128 ◽  
Author(s):  
Ondřej Vencálek
Keyword(s):  
Multivariate Data ◽  
Data Depth ◽  
Depth Functions ◽  
Current State ◽  
Short Summary ◽  
Maximal Depth ◽  
Local Depth

Concept of data depth provides one possible approach to the analysis of multivariate data.Among other it can be also used for classification purposes. The present paper is an overview of the research in the field of depth-based classification for multivariate data.It provides a short summary of current state of knowledge in the field of depth-based classification followed by detailed discussion of four main directions in the depth-based classification, namely semiparametric depth-based classifiers, maximal depth classifier, (maximal depth) classifiers which use local depth functions and finally advanced depth-based classifiers.We do not restrict our attention only on proposed classifiers. The paper rather aims to overview the ideas connected with depth-based classification and problems that were discussed in this context.

scholarly journals Preparation of Protein Oleogels: Effect on Structure and Functionality

Foods ◽  
2020 ◽  
Vol 9 (12) ◽  
pp. 1745
Author(s):  
Annika Feichtinger ◽  
Elke Scholten
Keyword(s):  
Rheological Properties ◽  
Nutritional Value ◽  
Food Products ◽  
Consumer Acceptance ◽  
Fat Replacer ◽  
Preparation Methods ◽  
Current State ◽  
Short Summary ◽  
Different Types ◽  
Potential Applications

Among available structuring agents that have been used to provide solid properties to liquid oils, protein is a more recent candidate. Due to their nutritional value and high consumer acceptance, proteins are of special interest for the preparation of edible oleogels as an alternative for solid fats. Whereas the field of protein oleogelation is still rather new and just starts unfolding, several preparation methods have been demonstrated to be suitable for protein oleogel preparation. However, there is limited knowledge regarding the link between microstructural properties of the gels and macroscopic rheological properties, and the potential of such protein-based oleogels as a fat replacer in food products. In this review, we therefore provide an overview of various protein oleogel preparation methods and the resulting gel microstructures. Based on the different structures, we discuss how the rheological properties can be modified for the different types of protein oleogels. Finally, we consider the suitability of the different preparation methods regarding potential applications on industrial scale, and provide a short summary of the current state of knowledge regarding the behavior of protein oleogels as a fat replacer in food products.

scholarly journals Robust multivariate estimation based on statistical depth filters

Test ◽  
2021 ◽  
Author(s):  
Giovanni Saraceno ◽  
Claudio Agostinelli
Keyword(s):  
Missing Values ◽  
Statistical Data ◽  
Data Depth ◽  
Data Set ◽  
Statistical Depth ◽  
Depth Functions ◽  
Gross Error ◽  
Special Cases ◽  
Model Cell ◽  
Multivariate Estimation

AbstractIn the classical contamination models, such as the gross-error (Huber and Tukey contamination model or case-wise contamination), observations are considered as the units to be identified as outliers or not. This model is very useful when the number of considered variables is moderately small. Alqallaf et al. (Ann Stat 37(1):311–331, 2009) show the limits of this approach for a larger number of variables and introduced the independent contamination model (cell-wise contamination) where now the cells are the units to be identified as outliers or not. One approach to deal, at the same time, with both type of contamination is filter out the contaminated cells from the data set and then apply a robust procedure able to handle case-wise outliers and missing values. Here, we develop a general framework to build filters in any dimension based on statistical data depth functions. We show that previous approaches, e.g., Agostinelli et al. (TEST 24(3):441–461, 2015b) and Leung et al. (Comput Stat Data Anal 111:59–76, 2017), are special cases. We illustrate our method by using the half-space depth.

The Current State-of-the-Art in the Field of Material Models of Concrete and other Cementitious Composites

2015 ◽  
Vol 729 ◽  
pp. 134-139 ◽  
Author(s):  
Filip Hokes
Keyword(s):  
Prestressed Concrete ◽  
State Of The Art ◽  
Constitutive Relations ◽  
Concrete Structures ◽  
Material Model ◽  
Short Review ◽  
Material Models ◽  
Current State ◽  
Short Summary ◽  
Tension And Compression

The topic of this paper is the short review of current state-of-the-art in the field of material models of concrete and its utilization for numerical analysis of concrete and prestressed concrete structures. The problem of compiling constitutive relations for numerical simulation of concrete structures is not yet closed. It is caused by different behavior of concrete in tension and compression. Due to formation and development of cracks it is necessary to describe material model of concrete in tension as precisely as possible. The paper aims to create a brief historical overview in this field and then aims to create a short summary of current approaches that were published in conference contributions and in journals during recent years.

scholarly journals Depth classification based on affine-invariant, weighted and kernel-based spatial depth functions

2021 ◽  
Vol 48 (2) ◽  
Author(s):  
Olusola S. Makinde ◽  
Keyword(s):  
Affine Invariant ◽  
Classification Methods ◽  
Statistical Depth ◽  
Depth Functions ◽  
Maximal Depth ◽  
Depth Classification ◽  
Multivariate Outcomes ◽  
Statistical Depth Functions ◽  
Spatial Depth

Several multivariate depth functions have been proposed in the literature, of which some satisfy all the conditions for statistical depth functions while some do not. Spatial depth is known to be invariant to spherical and shift transformations. In this paper, the possibility of using different versions of spatial depth in classification is considered. The covariance-adjusted, weighted, and kernel-based versions of spatial depth functions are presented to classify multivariate outcomes. We extend the maximal depth classification notions for the covariance-adjusted, weighted, and kernel-based spatial depth versions. The classifiers' performance is considered and compared with some existing classification methods using simulated and real datasets.

Approaching minimal cognition: introduction to the special issue

2019 ◽  
Vol 28 (6) ◽  
pp. 401-405
Author(s):  
Nick Brancazio ◽  
Miguel Segundo-Ortin ◽  
Patrick McGivern
Keyword(s):  
Lower Bounds ◽  
Special Issue ◽  
Cognitive Behaviors ◽  
Current State ◽  
Short Summary ◽  
The University

This special issue highlights the growing interdisciplinary interest in minimal cognition, bringing together a number of philosophers and scientists interested in investigating where, how, and why cognition arises. In what follows, we introduce the topic of minimal cognition by giving a brief look at debates and discussions about the lower bounds of cognition, minimally cognitive behaviors, and the possibility of life-mind continuity. Afterwards, we offer a short summary of each of the contributions to this issue. In the spirit of the Minimal Cognition conferences at the University of Wollongong at which the contributors participated, we hope this special issue will enrich the current state of minimal cognition research by putting a number of different disciplines and approaches into conversation.

Brief aus der Türkei

2016 ◽  
Vol 64 (5) ◽  
Author(s):  
Andrea Rehberg
Keyword(s):  
Political Philosophy ◽  
Cultural Conflict ◽  
University Faculty ◽  
Political Practice ◽  
The Enlightenment ◽  
Current State ◽  
Short Summary ◽  
The University

AbstractThis letter reports on the current state of philosophy in Turkey, describing in detail the academic landscape with its specificities and the principal traditions and fields of interest within the university faculty and amongst students. Furthermore, it gives an overview of the specific importance of political philosophy for Turkey, elaborating on how the Enlightenment, hierarchisation, polarisation and cultural conflict shape the country’s intellectual discussions and political practice. The letter closes with a short summary of problems plaguing the Turkish educational sector and contains some practical counsel to foreign philosophers wanting to work in Turkey or with Turkish philosophy students.

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