Results 11 to 20 of about 2,952,879 (312)
Disentangling the Information in Species Interaction Networks
Entropy, 2021 Shannon’s entropy measure is a popular means for quantifying ecological diversity. We explore how one can use information-theoretic measures (that are often called indices in ecology) on joint ensembles to study the diversity of species interaction ...
Michiel Stock +2 more
doaj +1 more source
Mathematics, 2020 The aim of this study is to evaluate students’ achievements in mathematics using three machine learning regression methods: classification and regression trees (CART), CART ensembles and bagging (CART-EB) and multivariate adaptive regression splines ...
Snezhana Gocheva-Ilieva +2 more
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Analytic Resolving Families for Equations with the Dzhrbashyan–Nersesyan Fractional Derivative
Fractal and Fractional, 2022 In this paper, a criterion for generating an analytic family of operators, which resolves a linear equation solved with respect to the Dzhrbashyan–Nersesyan fractional derivative, via a linear closed operator is obtained.
Vladimir E. Fedorov +2 more
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On Local Time for Telegraph Processes
Mathematics, 2023 The article consists of an introduction into the theory of passage times associated with telegraph processes. Local time for the telegraph process is defined and analysed. We provide some limited results for telegraphic local times.
Nikita Ratanov, Mikhail Turov
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Modelling car-following dynamics with stochastic input-state-output port-Hamiltonian systems [PDF]
EPJ Web of ConferencesIn this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behavior of the finite system with periodic boundaries and quadratic ...
Ackermann Julia +3 more
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Mathematical Analysis of Ultrafast Ultrasound Imaging [PDF]
, 2016 This paper provides a mathematical analysis of ultrafast ultrasound imaging. This newly emerging modality for biomedical imaging uses plane waves instead of focused waves in order to achieve very high frame rates.
Alberti, Giovanni S. +3 more
core +2 more sources
On Strongly Continuous Resolving Families of Operators for Fractional Distributed Order Equations
Fractal and Fractional, 2021 The aim of this work is to find by the methods of the Laplace transform the conditions for the existence of a strongly continuous resolving family of operators for a linear homogeneous equation in a Banach space with the distributed Gerasimov–Caputo ...
Vladimir E. Fedorov, Nikolay V. Filin
doaj +1 more source
Understanding Slow Feature Analysis: A Mathematical Framework [PDF]
, 2008 Slow feature analysis is an algorithm for unsupervised learning of invariant representations from data with temporal correlations. Here, we present a mathematical analysis of slow feature analysis for the case where the input-output functions are not ...
Sprekeler, Henning +1 more
core +1 more source
A comprehensive overview of genomic imprinting in breast and its deregulation in cancer
Nature Communications, 2018 In growth and development genomic imprinting is important in regulating gene expression. Here, the authors study loss of imprinting (LOI) in cancer, developing a mixture model to detect monoallelically expressed loci without genotyping data - applying ...
Tine Goovaerts +6 more
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Designing for mathematical abstraction [PDF]
, 2010 Our focus is on the design of systems (pedagogical, technical, social) that encourage mathematical abstraction, a process we refer to as designing for abstraction.
Noss, Richard, Pratt, Dave
core +3 more sources