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Tensor and Multimodal Data Analysis
In this book chapter, we provide a selective review of recent advances in tensor analysis and tensor modeling in statistics and machine learning. We...
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Vector Optimization with Domination Structures: Variational Principles and Applications
This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations...
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Elastic Homogenization of Materials with Composite Network Structures
We extend the method of maximal advance paths to the case of elastic homogenization of materials with composite network microstructure. Some...
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Building data for stacky covers
We define stacky building data for stacky covers in the spirit of Pardini and give an equivalence of (2,1)-categories between the category of stacky...
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Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model
Homogenization method is applied to topology optimization of a weakly coupled two physics problem, where structures are made of periodically...
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Steady-State Stokes and Navier–Stokes Equations in Tube Structures
Chapter Steady-State Stokes and Navier–Stokes Equations in Tube Structures revisits the definitions of thin tube structure given in Chap....
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A Note on Invariant Description of SU(2)–Structures in Dimension 5
We develop an invariant approach to SU (2)–structures on spin 5–manifolds. We characterize (via spinor approach) the subspaces in the spinor bundle...
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Partial Linear Model Averaging Prediction for Longitudinal Data
Prediction plays an important role in data analysis. Model averaging method generally provides better prediction than using any of its components....
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Generalized gradient structures for measure-valued population dynamics and their large-population limit
We consider the forward Kolmogorov equation corresponding to measure-valued processes stemming from a class of interacting particle systems in...
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The effect of governance structures on optimal control of two-patch epidemic models
Infectious diseases continue to pose a significant threat to the health of humans globally. While the spread of pathogens transcends geographical...
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Recent Results on Closed G 2-Structures
We review recent results concerning closed G2-structures on seven-dimensional manifolds. In particular, we discuss the construction of examples and...
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Potential data and basic mathematical modeling
Potential exploration methods aim at locating geothermal resources and water reservoirs, minerals, faults, and/or petroleum resources. Potential...
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Algebraic Structures in Group-theoretical Fusion Categories
It was shown by Ostrik (Int. Math. Res. Not. 2003 (27), 1507–1520
2003 ) and Natale (SIGMA Symmetry Integrability Geom. Methods Appl. 13 , 0422017 )...
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Wild Local Structures of Automorphic Lie Algebras
We study automorphic Lie algebras using a family of evaluation maps parametrised by the representations of the associative algebra of functions. This...
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The Betti side of the double shuffle theory. III. Bitorsor structures
In the first two parts of the series, we constructed stabilizer subtorsors of a ‘twisted Magnus’ torsor, studied their relations with the associator...
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Data collection in the Saarland test areas
This chapter deals with the collection of the data that were gravimetrically and/or magnetometrically required for the application of the multiscale...
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Seiberg–Witten Floer spectra and contact structures
In this article, the author defines an invariant of rational homology 3-spheres equipped with a contact structure as an element of a cohomotopy set...
