Results 41 to 50 of about 15,280 (155)
Multiple solutions for a Kirchhoff-type equation with general nonlinearity
, 2016 This paper is devoted to the study of the following autonomous Kirchhoff-type equation $$-M\left(\int_{\mathbb{R}^N}|\nabla{u}|^2\right)\Delta{u}= f(u),~~~~u\in H^1(\mathbb{R}^N),$$ where $M$ is a continuous non-degenerate function and $N\geq2$.
Lu, Sheng-Sen
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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
wiley +1 more source
Multiple solutions for a class of singular quasilinear problems
Journal of Mathematical Analysis and Applications, 2019 In this paper we use sub-supersolution and minimax methods to show the existence and multiplicity of solutions for the following class of singular quasilinear problems: { − Δ u − Δ ( u 2 ) u = a ( x ) u − β + h ( x , u ) in Ω , u > 0 in Ω , u = 0 on ∂ Ω ,
Gelson C. G. dos Santos +2 more
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Testing Distributional Granger Causality With Entropic Optimal Transport
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a novel nonparametric test for Granger causality in distribution based on entropic optimal transport. Unlike classical mean‐based approaches, the proposed method directly compares the full conditional distributions of a response variable with and without the history of a candidate predictor.
Tao Wang
wiley +1 more source
Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems
Electronic Journal of Differential Equations, 1999 When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied.
Chao-Nien Chen, Shyuh-Yaur Tzeng
doaj
Subgroup Identification via Multiple Change Point Detection: Methods and Applications
WIREs Computational Statistics, Volume 18, Issue 2, June 2026.Subgroup identification methods facilitate the discovery of clinically meaningful subpopulations with differing disease progression, improving personalized risk assessment and treatment strategies. ABSTRACT Subgroup identification is a significant research area in statistics and machine learning, aiming to partition a heterogeneous population into more
Yaguang Li +3 more
wiley +1 more source
A Tutorial on Bayesian Multi‐Study Factor Analysis With Applications in Nutrition and Genomics
Statistics in Medicine, Volume 45, Issue 10-12, May 2026.ABSTRACT High‐dimensional data are crucial in biomedical research. Integrating such data from multiple studies is a critical process that relies on the choice of advanced statistical models, enhancing statistical power, reproducibility, and scientific insight compared to analyzing each study separately.
Mavis Liang +3 more
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A note on the Dancer-Fucik spectra of the fractional p-Laplacian and Laplacian operators
, 2014 We study the Dancer-Fucik spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p=2, we present a very accurate local analysis.
Perera, Kanishka +2 more
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Computers and chess masters: The role of AI in transforming elite human performance
British Journal of Psychology, Volume 117, Issue 2, Page 585-609, May 2026.Abstract Advances in Artificial Intelligence (AI) have made significant strides in recent years, often supplementing rather than replacing human performance. The extent of their assistance at the highest levels of human performance remains unclear. We analyse over 11.6 million decisions of elite chess players, a domain commonly used as a testbed for AI
Merim Bilalić, Mario Graf, Nemanja Vaci
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, 2014 We present a multidimensional optimization problem that is formulated and solved in the tropical mathematics setting. The problem consists of minimizing a nonlinear objective function defined on vectors over an idempotent semifield by means of a ...
A. Tharwat +22 more
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