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Towards Inferring Network Properties from Epidemic Data
Epidemic propagation on networks represents an important departure from traditional mass-action models. However, the high-dimensionality of the exact...
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Persistent cup product structures and related invariants
One-dimensional persistent homology is arguably the most important and heavily used computational tool in topological data analysis. Additional...
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Uniform estimates with data from generalized Lebesgue spaces in periodic structures
We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity...
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Complexified Hermitian Symmetric Spaces, Hyperkähler Structures, and Real Group Actions
There is a known hyperkähler structure on any complexified Hermitian symmetric space G / K , whose construction relies on identifying G / K with both a...
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Choosing a Data Model for the Digital Twin of Environment
AbstractA review and analysis of available data models presented. Based on the analysis of data models, it concluded that the most appropriate data...
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Compacting Massive Public Transport Data
In this work, we present a compact method for storing and indexing users’ trips across transport networks. This research is part of a larger project...
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Sliced Average Variance Estimation for Tensor Data
Tensor data have been widely used in many fields, e.g., modern biomedical imaging, chemometrics, and economics, but often suffer from some common...
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Level structures on p-divisible groups from the Morava E-theory of abelian groups
The close relationship between the scheme of level structures on the universal deformation of a formal group and the Morava E -cohomology of finite...
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Representation of Experimental Data in the Algo500 Project
AbstractThe paper discusses the development of the Algo500 scalable digital platform project. One of its main components is the PerfData data...
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What Data?
Actuaries now collect all kinds of information about policyholders, which can not only be used to refine a premium calculation but also to carry out...
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Methods for Compositional Data
You work with compounds of a whole (and, of course, including missing values), for example, measurements of parts per million of chemical elements of...
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W-Structures in Contour Trees
The contour tree is one of the principal tools in scientific visualisation. It captures the connectivity of level sets in scalar fields. In order to...
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Bayesian Recognition Procedures in the Analysis of Blood Plasma Protein Structures According to Laser Spectrograph Measurements in Brain Tumors
Application of Bayesian recognition procedures to the analysis of inflammatory processes in gliomas is considered. Parameters of protein structures...
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Develo** a Ranking Problem Library (RPLIB) from a data-oriented perspective
We present an improved library for the ranking problem called RPLIB. RPLIB includes the following data and features. (1) Real and artificial datasets...
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Develo** an efficient coupled function-based topology optimization code for designing lightweight compliant structures using the BESO algorithm
In this article, an engineering computational method is developed for implementing the Bi-directional Evolutionary Structural Optimization algorithm...
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Structures of Degrees of Negative Representations of Linear Orders
The structures of partially ordered sets of degrees of negative and positive representability of linear orders are studied. The focus is on the...
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Trending on the use of Google mobility data in COVID-19 mathematical models
Google mobility data has been widely used in COVID-19 mathematical modeling to understand disease transmission dynamics. This review examines the...
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Towards Efficient Learning of GNNs on High-Dimensional Multilayered Representations of Tabular Data
AbstractFor prediction tasks using tabular data, it is possible to extract additional information about the target variable by examining the...
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Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems
An essential tool in data-driven modeling of dynamical systems from frequency response measurements is the barycentric form of the underlying...