#stability
9 resultsMinimization of Frequency Deviations in Power Network by using majorant functions
Oleg O. Khamisov
The paper derives conservative bounds on how much power‑system frequencies can deviate after disturbances and proposes a zero‑order optimization method to tune control parameters,…
Robust Learning with Jacobian Regularization
Judy Hoffman, Daniel A. Roberts, Sho Yaida
The paper proposes an efficient Jacobian regularization method for neural networks that enlarges classification margins and improves robustness to both random and adversarial input…
On the Metric Distortion of Embedding Persistence Diagrams into separable Hilbert spaces
Mathieu Carriere, Ulrich Bauer
The paper investigates how persistence diagrams can be embedded into separable Hilbert spaces, showing that any bi‑Lipschitz embedding must have lower bounds depending on diagram c…
A new unified stabilized mixed finite element method of the Stokes-Darcy coupled problem: Isotropic discretization
Koffi Wilfrid Houédanou
The paper presents a unified mixed finite element method for coupling Stokes and Darcy flows on isotropic meshes, providing a priori error analysis, stability results, and numerica…
A note on the Lagrangian flow associated to a partially regular vector field
Gianluca Crippa, Silvia Ligabue
The paper provides quantitative estimates for the Lagrangian flow of a vector field that is Sobolev regular in some variables and only fractionally Sobolev regular in others, estab…
GIT Stability of Henon Maps
Chong Gyu Lee, Joseph H. Silverman
The authors analyze the geometric invariant theory stability of generalized degree‑d Hénon maps under the SL_{N+1} conjugation action on the space of degree‑d rational maps, provin…
Analysis of conforming, non-matching, and polygonal methods for Darcy and advection-diffusion-reaction simulations in discrete fracture networks
Andrea Borio, Alessio Fumagalli, Stefano Scialò
The paper compares several numerical schemes for simulating single‑phase flow and transport in fractured media using discrete fracture network models, evaluating their ability to h…
Random perturbations of hyperbolic dynamics
Florian Dorsch, Hermann Schulz-Baldes
The paper analyzes how large invertible matrices that are small random perturbations of a fixed diagonal positive matrix generate dynamics on a high‑dimensional sphere, and shows t…
Studying fundamental limit of optical fiber links to $10^{-21}$ level
Dan Xu, Won-kyu Lee, Fabio Stefani +3
The paper presents a hybrid optical fiber link that simultaneously measures forward, backward, and round‑trip fiber noise, enabling precise evaluation of frequency transfer stabili…