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We establish upper bounds for the weak and strong error resulting from a perturbation of the noise driving the stochastic Burgers equation, where we assume the noise to be additive and of trace class and the initial value to be sufficiently regular. More specifically, replacing the covariance operator of the driving no...
Numerical AnalysisProbability (math.PR)Analysis of PDEsFOS: Mathematics
Food drying is essential for food production, extending shelf life, and reducing transportation costs. Accurate real-time forecasting of drying readiness is crucial for minimizing energy consumption, improving productivity, and ensuring product quality. However, this remains challenging due to the dynamic nature of dry...
Machine LearningFOS: Computer and information sciencesComputer Vision and Pattern Recognition (cs.CV)Computer Vision and Pattern Recognition
There is a growing literature on design-based methods to estimate average treatment effects for randomized controlled trials (RCTs) using the underpinnings of experiments. In this article, we build on these methods to consider design-based regression estimators for the local average treatment effect (LATE) estimand for...
Methodology (stat.ME)FOS: Computer and information sciencesMethodology
Cao, Zhongwei · Jiang, Yuchen · Shi, Zhenfeng · Jiang, Daqing · y 2 más
Motivated by the impact of environmental variability on within-host HIV dynamics, we develop a stochastic HIV model incorporating latent cell activation. Infection and activation rates are modeled as logarithmic mean-reverting Ornstein-Uhlenbeck processes, ensuring positive parameters and biologically realistic fluctua...
To reduce computation times of simulations involving gas fueled internal combustion engines (ICEs), a model is developed that determines non-ideal nozzle exit conditions to spare expensive simulations of internal injector flows. The model, to which we will refer as the Global Conservation Model (GCM), computes nozzle e...
This paper introduces and rigorously analyzes a least-squares weak Galerkin (LS-WG) finite element method for the severely ill-posed Cauchy problem associated with the Helmholtz equation. By utilizing a weak Laplacian operator defined on a space of discontinuous functions, the proposed framework facilitates the seamles...
Laura Pedrouzo-Rodriguez · Luis F. Gomez · Ruben Tolosana · Ruben Vera-Rodriguez · y 3 más
Recent advances in photorealistic avatar generation have enabled highly realistic talking-head avatars, raising security concerns regarding identity impersonation in AI-mediated communication. To advance in this challenging problem, the task of avatar fingerprinting aims to determine whether two avatar videos are drive...
FOS: Computer and information sciencesComputer Vision and Pattern Recognition (cs.CV)engineering and technologyComputer Vision and Pattern Recognition
Shakeeb Murtaza · Soufiane Belharbi · Alexis Guichemerre · Marco Pedersoli · y 1 más
Weakly supervised object localization (WSOL) models can predict both the object class and the spatial regions corresponding to the object, without requiring explicit bounding-box annotations. Given their reliance on classification objectives, traditional WSOL methods, like class activation mapping, tend to focus on the...
Machine LearningFOS: Computer and information sciencesComputer Vision and Pattern Recognition (cs.CV)engineering and technology
Engagement has been shown to influence students’ understanding and achievement, yet little is known about how engagement with statements relates to students’ understanding of corresponding proofs. In this paper, we take a step towards addressing this gap by investigating whether engaging with statements is associated w...
This paper develops the deformation theory of Lie ideals. It shows that the smooth deformations of an ideal $\mathfrak i$ in a Lie algebra $\mathfrak g$ differentiate to cohomology classes in the cohomology of $\mathfrak g$ with values in its adjoint representation on $\operatorname{Hom}(\mathfrak i, \mathfrak g/\mathf...
Rings and AlgebrasRepresentation TheoryDifferential Geometry (math.DG)Rings and Algebras (math.RA)
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