Results 1 to 10 of about 246 (200)
Central Limit Theorem in View of Subspace Convex-Cyclic Operators [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In our work we have defined an operator called subspace convex-cyclic operator. The property of this newly defined operator relates eigenvalues which have eigenvectors of modulus one with kernels of the operator.
H.M. Hasan +3 more
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Fourier Methods for Estimating the Central Subspace and the Central Mean Subspace in Regression [PDF]
Journal of the American Statistical Association, 2006 In regression with a high-dimensional predictor vector, it is important to estimate the central and central mean subspaces that preserve sufficient information about the response and the mean response. Using the Fourier transform, we have derived the candidate matrices whose column spaces recover the central and central mean subspaces exhaustively ...
Peng Zeng
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Learning Functions Varying along a Central Subspace
SIAM Journal on Mathematics of Data ScienceMany functions of interest are in a high-dimensional space but exhibit low-dimensional structures. This paper studies regression of a $s$-Hölder function $f$ in $\mathbb{R}^D$ which varies along a central subspace of dimension $d$ while $d\ll D$. A direct approximation of $f$ in $\mathbb{R}^D$ with an $\varepsilon$ accuracy requires the number of ...
Wenjing Liao
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PLoS ONE, 2022 Pattern discovery and subspace clustering play a central role in the biological domain, supporting for instance putative regulatory module discovery from omics data for both descriptive and predictive ends.
Leonardo Alexandre +2 more
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Sufficient Dimension Reduction: An Information-Theoretic Viewpoint
Entropy, 2022 There has been a lot of interest in sufficient dimension reduction (SDR) methodologies, as well as nonlinear extensions in the statistics literature. The SDR methodology has previously been motivated by several considerations: (a) finding data-driven ...
Debashis Ghosh
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Transformed central quantile subspace [PDF]
Statistics, 2021 arXiv admin note: text overlap with arXiv:1906 ...
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Graph adaptive semi-supervised discriminative subspace learning for EEG emotion recognition
Journal of King Saud University: Computer and Information Sciences, 2023 Since Electroencephalogram (EEG) is resistant to camouflage and contains abundant neurophysiological information, it shows significant superiorities in objective emotion recognition, making EEG-based emotion recognition become a hot research field in ...
Fengzhe Jin +4 more
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Dimension reduction with expectation of conditional difference measure
Statistical Theory and Related Fields, 2023 In this article, we introduce a flexible model-free approach to sufficient dimension reduction analysis using the expectation of conditional difference measure.
Wenhui Sheng, Qingcong Yuan
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A local Wheeler-DeWitt measure for the string landscape
Nuclear Physics B, 2023 According to the ‘Cosmological Central Dogma’, de Sitter space can be viewed as a quantum mechanical system with a finite number of degrees of freedom, set by the horizon area.
Bjoern Friedrich +4 more
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A Multiple Subspaces-Based Model: Interpreting Urban Functional Regions with Big Geospatial Data
ISPRS International Journal of Geo-Information, 2021 Analyzing the urban spatial structure of a city is a core topic within urban geographical information science that has the ability to assist urban planning, site selection, location recommendation, etc.
Jiawei Zhu +6 more
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