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Informativity Conditions for Multiple Signals: Properties, Experimental Design, and Applications

January 17, 2025

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Electrical Engineering and Systems Science
Computer Science
Mathematics
Systems and Control
Information Theory
Systems and Control
Information Theory
Systems and Control
Information Theory
Systems and Control
Information Theory
Recent studies highlight the importance of persistently exciting condition in single signal sequence for model identification and data-driven control methodologies. However, maintaining prolonged excitation in control signals introduces sig...

Yellow stimulated emission from Dy3+^{3+}-doped silica glass microspheres

January 17, 2025

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Physics
Optics
Optics
Dy3+^{3+}-doped silica glass whispering gallery mode microspheres are fabricated by fiber fusion splicing. They present an almost ideal spherical morphology with a radius ranging from 60 to 67 μ{\mu}m as determined by confocal laser micros...

Scaling-and-squaring method for computing the inverses of matrix φ\varphi-functions

January 17, 2025

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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Numerical Analysis
Numerical Analysis
This paper aims to develop efficient numerical methods for computing the inverse of matrix φ\varphi-functions, ψ(A):=(φ(A))1\psi_\ell(A) := (\varphi_\ell(A))^{-1}, for =1,2,,\ell =1,2,\ldots, when AA is a large and sparse matrix with eigenvalues in the ...

Gaussian basis set approach to one-loop self-energy

January 17, 2025

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Physics
Quantum Physics
Quantum Physics
We report a method for the evaluation of the one-loop self-energy, to all orders in the external binding field, using a Gaussian basis set expansion. This choice of basis is motivated by its widespread use in molecular calculations. For a o...

Experimental realization of the ground state for the antiferromagnetic Ising model on a triangular lattice

January 17, 2025

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Physics
Mesoscale and Nanoscale Physics
Materials Science
Mesoscale and Nanoscale Physics
Materials Science
The antiferromagnetic Ising model on a triangular lattice (AFIT) exemplifies the most classical frustration system, arising from its triangular geometry that prevents all interactions from being simultaneously satisfied. Understanding geome...

Robust density estimation over star-shaped density classes

January 17, 2025

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Mathematics
Statistics
Statistics Theory
Machine Learning
Statistics Theory
Statistics Theory
Machine Learning
Statistics Theory
We establish a novel criterion for comparing the performance of two densities, g1g_1 and g2g_2, within the context of corrupted data. Utilizing this criterion, we propose an algorithm to construct a density estimator within a star-shaped de...

Automatic Speech Recognition for Sanskrit with Transfer Learning

January 17, 2025

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Computer Science
Computation and Language
Artificial Intelligence
Computation and Language
Artificial Intelligence
Sanskrit, one of humanity's most ancient languages, has a vast collection of books and manuscripts on diverse topics that have been accumulated over millennia. However, its digital content (audio and text), which is vital for the training o...

Spatially Multiplexed Interferometric Microscopy with one-dimensional diffraction grating

January 17, 2025

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Physics
Optics
Optics
Digital holographic microscopy (DHM) applied to quantitative phase imaging (QPI) has been successfully demonstrated as a powerful label-free method to analyse the optical properties of cells. Spatially multiplexed interferometric microscopy...

Cepstrum-based interferometric microscopy (CIM) for quantitative phase imaging

January 17, 2025

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Physics
Optics
Optics
A universal methodology for coding-decoding the complex amplitude field of an imaged sample in coherent microscopy is presented, where no restrictions on any of the two interferometric beams are required. Thus, the imaging beam can be overl...

X-Dyna: Expressive Dynamic Human Image Animation

January 17, 2025

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Computer Science
Computer Vision and Pattern Recognition
Computer Vision and Pattern Recognition
We introduce X-Dyna, a novel zero-shot, diffusion-based pipeline for animating a single human image using facial expressions and body movements derived from a driving video, that generates realistic, context-aware dynamics for both the subj...