Tensor decomposition for dimension reduction
Sign Up to like & getrecommendations! Published in 2019 at "Wiley Interdisciplinary Reviews: Computational Statistics"
DOI: 10.1002/wics.1482
Abstract: Tensor data are data with multiway array structure. They are often very high dimensional and are routinely encountered in many scientific fields. Dimension reduction is the technique of reducing the number of underlying variables for… read more here.
Keywords: decomposition dimension; dimension reduction; tensor decomposition; tensor ... See more keywords
Advance of the sufficient dimension reduction
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DOI: 10.1002/wics.1516
Abstract: The sufficient dimension reduction of Li has been seen a steady development in the past 30 years in both methodology and application. The main approaches can be categorized into two groups: The inverse regression methods and… read more here.
Keywords: methodology; advance sufficient; dimension reduction; sufficient dimension ... See more keywords
Structural reliability analysis via dimension reduction, adaptive sampling, and Monte Carlo simulation
Sign Up to like & getrecommendations! Published in 2020 at "Structural and Multidisciplinary Optimization"
DOI: 10.1007/s00158-020-02633-0
Abstract: An improved reliability method, i.e., AL-AS-GPR-MCS, is developed taking advantage of active subspace (AS)-based dimension reduction technique, Gaussian process regression (GPR) surrogate model, active learning (AL)-based sampling strategy, and Monte Carlo simulation (MCS). In this… read more here.
Keywords: reliability; dimension reduction; monte carlo; carlo simulation ... See more keywords
Quality and origin characterisation of Portuguese, Greek, Oceanian, and Asian honey, based on poly-parametric analysis hand in hand with dimension reduction and classification techniques
Sign Up to like & getrecommendations! Published in 2020 at "European Food Research and Technology"
DOI: 10.1007/s00217-020-03461-8
Abstract: Chestnut, heather, honeydew, multifloral, orange blossom and thyme honey samples obtained either from beekeepers or supermarkets from Portugal, Greece, Oceania and Asia, were characterised by means of poly-parametric analysis: palynological, °Brix, moisture, pH, electrical conductivity,… read more here.
Keywords: honey; hand; dimension reduction; reduction classification ... See more keywords
Multi-view reconstructive preserving embedding for dimension reduction
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DOI: 10.1007/s00500-019-04395-4
Abstract: With the development of feature extraction technique, one sample always can be represented by multiple features which are located in different high-dimensional spaces. Because multiple features can reflect one same sample from various perspectives, there… read more here.
Keywords: multi view; view reconstructive; dimension reduction;
Tail dimension reduction for extreme quantile estimation
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DOI: 10.1007/s10687-017-0300-x
Abstract: In a regression context where a response variable Y ∈ ℝ is recorded with a covariate X ∈ ℝp, two situations can occur simultaneously: (a) we are interested in the tail of the conditional distribution… read more here.
Keywords: dimension reduction; dimension; extreme quantile; tail dimension ... See more keywords
Data-driven method for dimension reduction of nonlinear randomly vibrating systems
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06601-1
Abstract: Data-driven identification of nonlinear differential equations turns out to be an inefficient, and sometimes even impossible, for high-dimensional randomly vibrating systems. The mathematical formulism of stochastic averaging, moreover, is restricted by the difficulty of determining… read more here.
Keywords: dimension reduction; vibrating systems; stochastic averaging; randomly vibrating ... See more keywords
A dimension reduction approach for conditional Kaplan–Meier estimators
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DOI: 10.1007/s11749-017-0546-2
Abstract: Many quantities of interest in survival analysis are smooth, closed-form functionals of the law of the observations. For instance, the conditional law of a lifetime of interest under random right censoring, and the conditional probability… read more here.
Keywords: reduction; reduction approach; law; dimension reduction ... See more keywords
A dimension-reduction solution of free-time differential games for spacecraft pursuit-evasion
Sign Up to like & getrecommendations! Published in 2019 at "Acta Astronautica"
DOI: 10.1016/j.actaastro.2019.01.011
Abstract: Abstract This paper presents a dimension-reduction method for solving the free-time pursuit-evasion game between two spacecraft near circular orbits. Theoretically, finding the saddle-point solution of the game results in solving a high-dimensional (twenty-four in our… read more here.
Keywords: dimension reduction; pursuit; pursuit evasion; solution ... See more keywords
A theory of magneto-elastic nanorods obtained through rigorous dimension reduction
Sign Up to like & getrecommendations! Published in 2022 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2022.01.028
Abstract: Starting from a two-dimensional theory of magneto-elasticity for fiber-reinforced magnetic elastomers we carry out a rigorous dimension reduction to derive a rod model that describes a thin magneto-elastic strip undergoing planar deformations. The main features… read more here.
Keywords: theory magneto; magneto; dimension reduction; magneto elastic ... See more keywords
Stochastic perturbations and dimension reduction for modelling uncertainty of atmospheric dispersion simulations
Sign Up to like & getrecommendations! Published in 2020 at "Atmospheric Environment"
DOI: 10.1016/j.atmosenv.2020.117313
Abstract: Abstract Decision of emergency response to releases of hazardous material in the atmosphere increasingly rely on numerical simulations. This paper presents two contributions for accounting for the uncertainty inherent to those simulations. We first focused… read more here.
Keywords: atmospheric dispersion; dimension reduction; dispersion; stochastic perturbations ... See more keywords