“Grok is tapped for new military plans.”

“The proposed approach leverages the analytical solution for linear vibration of system's modes so that physical parameters of a system remain easily accessible after the training without the need for a parameter encoder in the model architecture.”

“The PDE-ODI principle converts a broad class of parabolic differential equations into systems of ordinary differential inequalities.”

“On $\mathscr{M}$-arrangements of conics and lines with ordinary singularities.”

“The paper introduces the notion of the essential convergence rate and justifies it by proving that, under appropriate assumptions on discretization, no method obtained by discretizing an ODE can achieve a faster rate than its essential convergence rate.”

“OLS can withstand up to $k \ll \sqrt{np}/\log n$ sample removals while remaining robust and achieving the same error rate.”

“The context mentions that the article is from ArXiv, indicating a pre-print research paper.”

“"Our findings indicate that the UDE model is much more data efficient, needing only 20% of data for a correct forecast, whereas the Neural ODE requires 90%."”

“AI makes "creation" easier, thus giving birth to these ways to earn quick money.”

“The article's context suggests an exploration of mathematical relationships between different types of cluster algebras.”

“When stability holds, the ordinary least-squares estimator satisfies a central limit theorem, and classical Wald-type confidence intervals -- designed for i.i.d. data -- become asymptotically valid even under adaptation, \emph{without} incurring the $\\sqrt{d \\log T}$ price of adaptivity.”

“”

“The study focuses on capturing reduced-order quantum many-body dynamics out of equilibrium.”

“The article focuses on building surrogate ODE models for diffusion bridges.”

“The study focuses on comparing Neural Ordinary Differential Equations and Universal Differential Equations.”

““Ordinary people, such as passengers and bystanders, do not know how an autonomous vehicle makes real-time driving decisions,” says Shahin Atakishiyev.”

“The article doesn't contain a direct quote, but the core topic is about Neural Ordinary Differential Equations.”

“Without the full article, a specific quote is impossible. However, a relevant quote might discuss the benefits of this ODE perspective, such as improved gradient flow or the ability to model continuous-time dynamics.”