Results 161 to 170 of about 2,093 (267)
Cyclicity of Binary Group Codes. [PDF]
García García B +2 more
europepmc +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
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
The generic Markov cohomological Hall algebra is not spherically generated. [PDF]
Davison B.
europepmc +1 more source
Polynomial system solving for decoding linear codes and algebraic cryptanalysis.
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
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
Fault Tree Reliability Analysis via Squarefree Polynomials: Mathematical and Experimental Analysis. [PDF]
Lopuhaä-Zwakenberg M.
europepmc +1 more source
HERMITE POLYNOMIALS THROUGH LINEAR ALGEBRA
openaire +1 more source
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
Direct Products for the Hamiltonian Density Property. [PDF]
Andrist RB, Huang G.
europepmc +1 more source
T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
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

