Numerical simulation of gravitational waves from a black hole, using curvature tensors by Yoshio Matsuki, Petro I. Bidyuk

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Curvature coordinates to describe the explosion of Chernobyl’s reactor core in April 1986, using the tensor equations by Yoshio Matsuki, Petro I. Bidyuk

“…These tensor equations show a movement of a vector in the three dimensional curvature coordinates of time, water flow, and void. …”
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Simulating the rotation of a black hole and antigravity by Yoshio Matsuki, Petro I. Bidyuk

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Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves by Yoshio Matsuki, Petro Bidyuk

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Multi-step prediction in linearized latent state spaces for representation learning by Andrii Tytarenko

“…The method develops the idea of learning a locally linear state space by adding a multi-step prediction, thus allowing for more explicit control over the curvature. We show that the method outperforms E2C without drastic model changes which come with other works, such as PCC and P3C. …”
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New approaches to regression in financial mathematics and life sciences by generalized additive models by P. Taylan, G.-W. Weber

“…We bounding (penalizing) second order terms (curvature) of the splines, we include a regularization of the inverse problem, contributing to a more robust approximation. …”
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