Results 21 to 30 of about 146 (131)
Applied SciencesCurrently, machine learning (ML) methods provide a practical approach to model complex systems. Unlike purely analytical models, ML methods can describe the uncertainties (e.g., hysteresis, temperature effects) that are difficult to deal with ...
Zizhen An, Mingcong Deng
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Parametric Time‐Variation in the Unconditional Volatility: Estimation and Inference
Journal of Time Series Analysis, EarlyView.ABSTRACT We propose modeling time‐variation in the unconditional volatility by augmenting the standard GARCH model by a deterministic time‐varying intercept. The model, called the additive time‐varying (ATV‐)GARCH model, can be interpreted as a reduced form of a model including covariates and can be derived from a multiplicative decomposition of ...
Niklas Ahlgren +2 more
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The 3‐sparsity of Xn−1$X^n-1$ over finite fields of characteristic 2
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let q$q$ be a prime power and Fq$\mathbb {F}_q$ the finite field with q$q$ elements. For a positive integer n$n$, the polynomial Xn−1∈Fq[X]$X^n - 1 \in \mathbb {F}_q[X]$ is termed 3‐sparse over Fq$\mathbb {F}_q$ if all its irreducible factors in Fq[X]$\mathbb {F}_q[X]$ are either binomials or trinomials.
Kaimin Cheng
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Bounded exponential sums with multiplicative coefficients
Mathematika, Volume 72, Issue 4, October 2026.Abstract We investigate when the exponential sum Sf(x,α):=∑n⩽xf(n)e(nα)$S_f(x,\alpha) := \sum _{n\leqslant x}f(n)\mathrm{e}(n\alpha)$ is bounded, for a multiplicative function f$f$ and α∈R$\alpha \in \mathbb {R}$. We show that under natural assumptions, Sf(x,α)$S_f(x,\alpha)$ is bounded only when f$f$ is very close to a twisted Dirichlet character χ(n ...
Péa Bazin, Ihor Pylaiev, Fred Tyrrell
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Perturbed nonlinear systems control using extended robust right coprime factorisation [PDF]
International Journal of Control, 2016 In this paper, extended operator-based robust right coprime factorization is investigated for dealing with a class of nonlinear systems with unknown bounded perturbations. Firstly, a kind of operators is introduced, by which operator-based right coprime factorization approach is extended to consider the perturbed nonlinear systems.
Fazhan Tao, Mingcong Deng
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Rhythmic Structure Shapes Dyadic Self−Other Representations Through Interpersonal Action Coupling
Annals of the New York Academy of Sciences, Volume 1562, Issue 1, August 2026.Musical rhythms can imply multiple interpretations of the beat, allowing various ways of moving together. Dyads drummed to songs, producing rhythmic ratios varying the relative temporal complexity of their movements. Stable coordination increased social bonding, which decreased with complexity.
Dhwani P. Sadaphal +5 more
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Early Fault Detection and Operator-Based MIMO Fault-Tolerant Temperature Control of Microreactor
Applied SciencesA microreactor is a chemical reaction device that mixes liquids in a very narrow channel and continuously generates reactions. They are attracting attention as next-generation chemical reaction devices because of their ability to achieve small-scale and ...
Yuma Morita, Mingcong Deng
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On a Ramsey–Turán variant of Roth's theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A classical theorem of Roth states that the maximum size of a solution‐free set of a homogeneous linear equation L$\mathcal {L}$ in Fp$\mathbb {F}_p$ is o(p)$o(p)$ if and only if the sum of the coefficients of L$\mathcal {L}$ is 0. In this paper, we prove a Ramsey–Turán variant of Roth's theorem, with respect to a natural notion of “structured”
Matija Bucić +4 more
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Cluster scattering diagrams via quiver moduli and tight gradings
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We study rank‐2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver‐theoretic and combinatorial methods, we prove and extend a collection of conjectures posed by Elgin–Reading–Stella concerning the structural and enumerative properties ...
Amanda Burcroff +4 more
wiley +1 more source
Nanophotonics, Volume 15, Issue 14, 27 July 2026.Integrated optical phased arrays are emerging as scalable engines for solid‐state beam steering and programmable wavefront control. This Review maps the field from beam‐steering principles and core building blocks to material platforms, system‐level bottlenecks, and application frontiers, highlighting how heterogeneous integration, aperiodic ...
Jingwei Li +7 more
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