Results 161 to 170 of about 2,093 (267)

Cyclicity of Binary Group Codes. [PDF]

open access: yesEntropy (Basel)
García García B   +2 more
europepmc   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous   +2 more
wiley   +1 more source

Polynomial system solving for decoding linear codes and algebraic cryptanalysis.

open access: yes, 2009
Diese Arbeit beschäftigt sich mit Anwendungen symbolischer Methoden auf Probleme der Dekodierung linearer Codes und der algebraischen Kryptoanalyse. Dabei benutzen wir folgendes Paradigma. Wir formulieren das Ausgangsproblem um und beschreiben es durch Systeme von Polynomen über endlichen Körpern. Die Lösungen solcher Systeme sollen es ermöglichen, das
openaire   +2 more sources

Zeros of polynomials in derivatives of automorphic L$L$‐functions

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong   +2 more
wiley   +1 more source

HERMITE POLYNOMIALS THROUGH LINEAR ALGEBRA

open access: yesInternational Journal of Pure and Apllied Mathematics, 2017
openaire   +1 more source

Control Systems Design With Enlarged Stability Domains for Nonlinear Constrained Systems via Sum‐of‐Squares Optimization

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 36, Issue 14, Page 6856-6876, 25 September 2026.
ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas   +3 more
wiley   +1 more source

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14697-14743, 15 September 2026.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma   +2 more
wiley   +1 more source

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