Neural operators, as a powerful approximation to the non-linear operators between infinite-dimensional function spaces, have proved to be promising in accelerating the solution of partial differential ...

Artificial intelligence is reshaping brain modeling. This review introduces a unified framework where AI functions as a surrogate brain by integrating dynamical modeling, inverse problem solving, and ...

Future events such as the weather or satellite trajectories are computed in tiny time steps, so the computation must be both ...

The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound ...

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Vision Transformers (ViTs) have become a universal backbone for both image recognition and image generation. Yet their Multi–Head Self–Attention (MHSA) layer still performs a quadratic query–key ...

ABSTRACT: In this paper, we study the forced oscillation properties of a class of fractional impulsive delay partial differential equations under the conformable fractional calculus definition with ...

Doug Wintemute is a staff writer for Forbes Advisor. After completing his master’s in English at York University, he began his writing career in the higher education space. Over the past decade, Doug ...

Abstract: This research intends to create a novel approach for solving fractional differential equations (FDEs) of both linear and nonlinear types utilizing the fractional shifted Legendre neural ...

The US government is offering a new standard to determine the chances that a software or hardware flaw has been successfully targeted by a threat actor in the wild. The Department of Commerce's ...

In this paper, we adapt a two-species agent-based cancer model that describes the interaction between cancer cells and healthy cells on a uniform grid to include the interaction with a third ...