Tootfinder

This https://arxiv.org/abs/2312.09146 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Featurizing Koopman Mode Decomposition
This article introduces an advanced Koopman mode decomposition (KMD) technique -- coined Featurized Koopman Mode Decomposition (FKMD) -- that uses time embedding and Mahalanobis scaling to enhance analysis and prediction of high dimensional dynamical systems. The time embedding expands the observation space to better capture underlying manifold structure, while the Mahalanobis scaling, applied to kernel or random Fourier features, adjusts observations based on the system's dynamics. This aids i…

Tight contact structures on hyperbolic homology 3-spheres
Mahan Mj, Balarka Sen
https://arxiv.org/abs/2404.14698 https://arxiv.org/pd…

Tight contact structures on hyperbolic homology 3-spheres
We produce a large class of hyperbolic homology $3$-spheres admitting arbitrarily many distinct tight contact structures. We also produce a sub-class admitting arbitrarily many distinct tight contact structures within the same homotopy class of oriented plane distributions. We also introduce a notion of geometric limits of contact structures compatible with geometric limits of hyperbolic manifolds. We study the behavior of the tight contact structures we construct under geometric limits.

An IoT Based Water-Logging Detection System: A Case Study of Dhaka
Md Manirul Islam, Md. Sadad Mahamud, Umme Salsabil, A. A. M. Mazharul Amin, Samiul Haque Suman
https://arxiv.org/abs/2403.18949