ABSTRACT: In this paper, we investigate a meshless approximation, the interpolating element-free Galerkin method, for an optimal control problem governed by fourth-order parabolic partial differential ...

Diffusion processes have emerged as promising approaches for sampling from complex distributions but face significant challenges when dealing with multimodal targets. Traditional methods based on ...

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Writing backwards can trick an AI into providing a bomb recipe AI models have safeguards in place to prevent them creating dangerous or illegal output, but a range of jailbreaks have been found to ...

Abstract: The advantages of the Multistep algorithm in Maxwell's equations have been verified by numerous scholars in the mathematical society. The Multistep Euler-box scheme is a combined format that ...

Scientists trying to take advantage of the unusual properties of the quantum realm say they have successfully simulated a method of backward time travel that allowed them to change an event after the ...