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Noncommutative strong maximals and almost uniform convergence in several directions [PDF]

open access: yesForum of Mathematics, Sigma, 2020
Our first result is a noncommutative form of the Jessen-Marcinkiewicz-Zygmund theorem for the maximal limit of multiparametric martingales or ergodic means.
José M. Conde-Alonso   +2 more
doaj   +8 more sources

Almost uniform convergence in the Wiener–Wintner ergodic theorem [PDF]

open access: yesStudia Mathematica, 2020
We extend almost everywhere convergence in Wiener-Wintner ergodic theorem for $\sigma$-finite measure to a generally stronger almost uniform convergence and present a larger, universal, space for which this convergence holds.
V. Chilin, S. Litvinov
semanticscholar   +3 more sources

Accelerating RRT* convergence with novel nonuniform and uniform sampling approach [PDF]

open access: yesScientific Reports
Path planning plays a crucial role in autonomous mobile robotics. Sampling-based path planners are widely and frequently employed to generate collision-free paths between a start and goal location.
Sivasankar Ganesan   +4 more
doaj   +2 more sources

On Another Type of Convergence for Intuitionistic Fuzzy Observables

open access: yesMathematics, 2023
The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
doaj   +1 more source

Max-Margin Works while Large Margin Fails: Generalization without Uniform Convergence [PDF]

open access: yesInternational Conference on Learning Representations, 2022
A major challenge in modern machine learning is theoretically understanding the generalization properties of overparameterized models. Many existing tools rely on uniform convergence (UC), a property that, when it holds, guarantees that the test loss ...
Margalit Glasgow   +3 more
semanticscholar   +1 more source

Strong consistency of the local linear relative regression estimator for censored data [PDF]

open access: yesOpuscula Mathematica, 2022
In this paper, we combine the local linear approach to the relative error regression estimation method to build a new estimator of the regression operator when the response variable is subject to random right censoring.
Feriel Bouhadjera, Elias Ould Saïd
doaj   +1 more source

Second-Order Robust Numerical Method for a Partially Singularly Perturbed Time-Dependent Reaction–Diffusion System

open access: yesMathematics, 2023
This article aims at the development and analysis of a numerical scheme for solving a singularly perturbed parabolic system of n reaction–diffusion equations where m of the equations (with ...
Manikandan Mariappan   +2 more
doaj   +1 more source

Converging Flow Passages, Nanofluids and Magnetic Field: Effects on the Thermal Response of Microchannel Heat Sinks [PDF]

open access: yesJournal of Heat and Mass Transfer Research, 2022
To analyze the possibility of heat transfer enhancement of micro-scale heat exchangers, the transport phenomena of water (H2O) - Aluminum oxide (Al2O3) nanofluid in a three-dimensional microchannel with converging flow passages in the presence of a ...
Amir Fattahi   +2 more
doaj   +1 more source

Uniform Consistency for Functional Conditional U-Statistics Using Delta-Sequences

open access: yesMathematics, 2022
U-statistics are a fundamental class of statistics derived from modeling quantities of interest characterized by responses from multiple subjects. U-statistics make generalizations the empirical mean of a random variable X to the sum of all k-tuples of X
Salim Bouzebda, Amel Nezzal, Tarek Zari
doaj   +1 more source

Strong Uniform Consistency Rates of Conditional Density Estimation in the Single Functional Index Model for Functional Data Under Random Censorship

open access: yesRevstat Statistical Journal, 2022
The main objective of this paper is to investigate the estimation of conditional density function based on the single-index model in the censorship model when the sample is considered as an independent and identically distributed (i.i.d.) random ...
Nadia Kadiri   +2 more
doaj   +1 more source

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