Results 41 to 50 of about 858 (208)
Modules whose $p$-submodules are direct summands
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: In this article, we deal with modules with the property that all \(p\)-submodules are direct summands. In contrast to \(CLS\)-modules, it is shown that the former property is closed under finite direct sums, but it is not inherited by direct summands.
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Loss Behavior in Supervised Learning With Entangled States
Advanced Quantum Technologies, EarlyView.Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source
Tensor Changepoint Detection and Eigenbootstrap
Journal of Time Series Analysis, EarlyView.ABSTRACT Tensor data consisting of multivariate outcomes over the items and across the subjects with longitudinal and cross‐sectional dependence are considered. A completely distribution‐free and tweaking‐parameter‐free detection procedure for changepoints at different locations is designed, which does not require training data.
Michal Pešta +2 more
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Testing for Unspecified Periodicities in Binary Time Series
Journal of Time Series Analysis, EarlyView.ABSTRACT Given random variables Y1,…,Yn$$ {Y}_1,\dots, {Y}_n $$ with Yi∈{0,1}$$ {Y}_i\in \left\{0,1\right\} $$ we test the hypothesis whether the underlying success probabilities pi$$ {p}_i $$ are constant or whether they are periodic with an unspecified period length of r≥2$$ r\ge 2 $$.
Finn Schmidtke, Mathias Vetter
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, EarlyView.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
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Modules with the Direct Summand Sum Property [PDF]
Czechoslovak Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Time Series Analysis, EarlyView.ABSTRACT We consider the problem of sequential (online) estimation of a single change point in a piecewise linear regression model under a Gaussian setup. We demonstrate that certain CUSUM‐type statistics attain the minimax optimal rates for localizing the change point.
Annika Hüselitz, Housen Li, Axel Munk
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A Note on ⊕-Cofinitely Supplemented Modules
International Journal of Mathematics and Mathematical Sciences, 2007 Let R be a ring and M a right R-module. In this note, we show that a quotient of an ⊕-cofinitely supplemented module is not in general ⊕-cofinitely supplemented and prove that if a module M is an ⊕-cofinitely supplemented multiplication module with Rad(M)
Yongduo Wang, Qing Sun
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The Direct Summand Conjecture in Dimension Three [PDF]
The Annals of Mathematics, 2002 14 pages, no ...
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The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
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