Results 61 to 70 of about 171 (167)

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor   +2 more
wiley   +1 more source

Rational points on even‐dimensional Fermat cubics

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +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

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

<i>N</i> =1 Super Virasoro Tensor Categories. [PDF]

open access: yesCommun Math Phys
Creutzig T   +3 more
europepmc   +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

Do Androids Dream of Electric Sheep? A Psychoanalytic Inquiry Into Large Language Models

open access: yesInternational Journal of Applied Psychoanalytic Studies, Volume 23, Issue 3, September 2026.
ABSTRACT Large language models produce fluent, contextually appropriate language that invites the inference that something behind the output is thinking. The psychoanalytic theory of thinking, specifically the work of Wilfred Bion and Donald Winnicott read together, allows us to specify what thinking requires, what the LLM lacks, and what occurs when a
Mustafa Selek
wiley   +1 more source

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