Results 21 to 30 of about 39 (39)
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 10, Page 2081-2092, October 2025.Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We give a description of finitely generated prosoluble subgroups of the profinite completion of 3‐manifold groups and toral relatively hyperbolic virtually compact special groups.
Lucas C. Lopes, Pavel A. Zalesskii
wiley +1 more source
Application of Variable Step‐Size Hybrid Methods for Solving Third‐Order Lane‐Emden Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13854-13863, 30 September 2025.ABSTRACT This manuscript introduces a pair of variable step‐size hybrid methods (PVSHM) to efficiently solve third‐order initial value problems of Lane‐Emden‐type equations (LETE). These equations are extensively used across various disciplines, including chemical engineering, fluid mechanics, physics, and astrophysics, to model a wide range of real ...
Mufutau Ajani Rufai +3 more
wiley +1 more source
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract How many permutations are needed so that every infinite–coinfinite set of natural numbers with asymptotic density can be rearranged to no longer have the same density? We prove that the density number dd${\mathfrak {dd}}$, which answers this question, is equal to the least size of a nonmeager set of reals, non(M)${\mathsf {non}}({\mathcal {M}})
Christina Brech +2 more
wiley +1 more source
Reproducing the Effects of Quantum Deformation in the Undeformed Jaynes‐Cummings Model
Advanced Quantum Technologies, Volume 8, Issue 8, August 2025.The inverse problem approach, where atomic probabilities are modulated according to a time‐dependent coupling, is studied for the Jaynes‐Cummings (JC) model. In particular, emphasis is placed on how to reproduce the effects of quantum deformation in a non‐deformed JC model.
Thiago T. Tsutsui +2 more
wiley +1 more source
Local spectral theory for subordinated operators: The Cesàro operator and beyond
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract We study local spectral properties for subordinated operators arising from C0$C_0$‐semigroups. Specifically, if T=(Tt)t⩾0$\mathcal {T}=(T_t)_{t\geqslant 0}$ is a C0$C_0$‐semigroup acting boundedly on a complex Banach space and Hν=∫0∞Ttdν(t)$$\begin{equation*} \mathcal {H}_\nu = \int _{0}^{\infty } T_t\; d\nu (t) \end{equation*}$$is the ...
Eva A. Gallardo‐Gutiérrez +1 more
wiley +1 more source
Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems
International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.ABSTRACT Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous‐time analog to discrete neural networks. Despite their promise, deploying neural ODEs in practical applications often encounters the challenge of stiffness, a condition where ...
Matteo Caldana, Jan S. Hesthaven
wiley +1 more source
Chemostat models with Monod and Haldane consumption functions and random environmental fluctuations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7412-7431, 15 May 2025.In this paper, we study the asymptotic dynamics of two chemostat models with random environmental fluctuations modeled by means of real noise, where different consumption functions for the consumer species (Monod and Haldane) are taking into account. For each model, our main goal is to investigate the existence of deterministic attracting sets.
Tomás Caraballo +2 more
wiley +1 more source
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract In this paper, we extend the theory of minimal limit key polynomials of valuations on the polynomial ring K[x]$K[x]$. Minimal key polynomials are useful to describe, for instance, the defect of an extension of valued fields. We use the theory of cuts on ordered abelian groups to show that the previous results on bounded sets of key polynomials
Enric Nart, Josnei Novacoski
wiley +1 more source
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