Results 111 to 120 of about 1,759 (215)
Finite‐Block Polynomial and Volterra Structure in Reservoir Computing
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley +1 more source
On Metric Choice in Dimension Reduction for Fréchet Regression
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
Mitigating Black Pod Disease in Cocoa Plants: An Optimal Control and Cost‐Effectiveness Analysis
ABSTRACT Black pod disease (BPD), caused by Phytophthora species, continues to pose a significant threat to cocoa production, particularly in tropical regions where cocoa farming is a major economic activity. This study develops a deterministic compartmental model to understand the transmission dynamics of BPD and evaluate the impact of multiple ...
Bernard Asamoah Afful
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Cooperative and Non‐Cooperative Solutions in a Dynamic Model of Forest Management
ABSTRACT This study develops a deterministic finite‐horizon bioeconomic control model linking forest biomass, biodiversity, cumulative harvesting pressure, and disturbance‐motivated expected biodiversity losses. Biodiversity is modeled as a productive state variable that feeds back into biomass growth, while cumulative harvesting pressure records the ...
Seyedalireza Seyedi +2 more
wiley +1 more source
Inference on Common Trends in a Cointegrated Nonlinear SVAR
ABSTRACT We consider the problem of performing inference on the number of common stochastic trends when data is generated by a cointegrated CKSVAR (a two‐regime, piecewise affine SVAR; Mavroeidis, 2021), using a modified version of the Breitung (2002) multivariate variance ratio test that is robust to the presence of nonlinear cointegration (of a known
James A. Duffy, Xiyu Jiao
wiley +1 more source
Continuity of the solutions sets for parametric set optimization problems
The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018.
Manli Yang, Taiyong Li, Guanghui Xu
doaj +1 more source
Groups with a finite Busemann boundary are virtually cyclic
Abstract This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric‐functional boundary. We show that if there exists a Cayley graph with finitely many Busemann points, then the underlying group is virtually cyclic.
Corentin Bodart +2 more
wiley +1 more source
An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley +1 more source
ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz +2 more
wiley +1 more source
Safe Stabilization Using Non‐Smooth Control Lyapunov Barrier Function
ABSTRACT This paper addresses the challenge of safe stabilization, ensuring the system state reaches the origin while avoiding unsafe state regions. Existing approaches that rely on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the non‐smooth control Lyapunov barrier function (
Jianglin Lan +3 more
wiley +1 more source

