Results 41 to 50 of about 11,094 (111)
Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
wiley +1 more source
Interpretable Machine Learning: A Comprehensive Review of Foundations, Methods, and the Path Forward
This systematic review of 352 studies establishes a comprehensive taxonomy for Interpretable Machine Learning, transitioning from foundational intrinsic models to advanced deep learning explanations. It reveals a critical paradigm shift toward “mechanistic interpretability” and actionable recourse, emphasizing that future AI systems must be rigorously ...
Shimon Fridkin, Michael Bendersky
wiley +1 more source
Fourier Neural Operator for Moonquake Detection
Abstract Moonquakes provide critical observations for probing the lunar interior, yet their analysis is hindered by the limited number of recordings and their inherently low signal‐to‐noise ratio (S/N). Conventional detection methods such as Short‐Term Average/Long‐Term Average (STA/LTA) perform poorly on lunar data, while standard deep learning models
Basem Al‐Qadasi, Umair Bin Waheed
wiley +1 more source
We describe a topological method to study the dynamics of dissipative PDEs on a torus with rapidly oscillating forcing terms. We show that a dissipative PDE, which is invariant with respect to Galilean transformations, with a large average initial ...
Cyranka, Jacek, Zgliczyński, Piotr
core +1 more source
The Arctic Coastal Erosion Model: Overview, Developments, and Calibration at Drew Point, Alaska
Abstract Permafrost coastlines are experiencing significant erosion as polar amplification has enhanced the effects of climate change in the Arctic. Warmer temperatures are increasing thermo‐denudation and more energetic oceans are increasing thermo‐abrasion in unlithified, ice‐bonded permafrost coastlines which comprise at least 40% of the circum ...
Elyce Bayat +10 more
wiley +1 more source
A Deep Learning‐Based Time Shift Objective Function for Full Waveform Inversion
ABSTRACT Full waveform inversion (FWI) is a powerful technique for estimating high‐resolution subsurface velocity models by minimizing the discrepancy between modelled and observed seismic data. However, the oscillatory nature of seismic waveforms makes point‐wise discrepancy measures highly prone to cycle skipping, especially when the initial velocity
Mustafa Alfarhan +5 more
wiley +1 more source
Quasi‐Fuchsian flows and the coupled vortex equations
Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
wiley +1 more source
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
wiley +1 more source
A Dynamically Adaptive Sparse Grid Method for Quasi-Optimal Interpolation of Multidimensional Analytic Functions [PDF]
In this work we develop a dynamically adaptive sparse grids (SG) method for quasi-optimal interpolation of multidimensional analytic functions defined over a product of one dimensional bounded domains.
Stoyanov, Miroslav K. +1 more
core
A New Local Perimeter Control Approach to Minimum Length Scale in Topology Optimization
ABSTRACT This work presents a novel framework for enforcing minimum length‐scale constraints in topology optimization, a fundamental challenge for ensuring manufacturable designs. Two complementary methodologies are proposed. The first, and primary, approach is based on local perimeter control, which regulates the amount of perimeter within localized ...
Jose A. Postigo +3 more
wiley +1 more source

