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Nonlinear Alignment and Joint

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Entropic Optimal Transport Eigenmaps for Nonlinear Alignment and Joint Embedding of High-Dimensional Datasets

arXiv:2407.01718v2 Announce Type: replace-cross Abstract: Embedding high-dimensional data into a low-dimensional space is an indispensable component of data analysis. In numerous applications, it is necessary to align and jointly embed multiple datasets from different studies or experimental conditions. Such datasets may share underlying structures of interest but exhibit individual distortions, resulting in misaligned embeddings using traditional techniques.

arXiv CS 1d ago

Scalar gradient structure and dynamics in turbulent mixing at high Reynolds and Schmidt numbers

arXiv:2606.07858v1 Announce Type: new Abstract: How well turbulence mixes a scalar $\theta$ is governed by the scalar dissipation rate $\chi = 2D |\nabla\theta|^2$, making scalar gradients central to turbulent mixing. We study the structure and amplification of these gradients for passive scalars driven by a uniform mean-gradient in isotropic turbulence, using DNS at grid resolutions up to $8192^3$. The $Re_\lambda$ spans $140-1000$, and $Sc\equiv\nu/D$ spans $1-512$.

arXiv Physics 1d ago

Attitude-Aided Linear Calibration of Triaxial Accelerometers

Announce Type: new Abstract: Triaxial MEMS accelerometers are widely used for inertial sensing, navigation, and sensor fusion, but existing calibration methods often rely on costly reference setups or nonlinear iterative optimization, limiting their efficiency and applicability to low-cost or self-calibrating systems. We present attitude-aided linear accelerometer calibration (ALAC), a method that operates on any platform providing orientation information, such as turntables, robotic arms,...

arXiv CS 5d ago