Abstract: Using Kalman techniques, it is possible to perform optimal estimation in linear Gaussian state-space models. When the Gaussian assumptions are inadequate, the Kalman-type filters fail to be ...

ABSTRACT: This paper develops an information-theoretic framework for analysing empirical spectra across cosmology, physiology, and astrophysics by recasting them as normalized probability densities ...

UFMS − Universidade Federal de Mato Grosso Do Sul, Laboratório de Parasitologia Humana, Instituto de Biociências, Av. Costa E Silva S/N, Campo Grande, MS 79070-900, Brazil ...

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Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

As we listen to a piece of music, our ears perform a calculation. The high-pitched flutter of the flute, the middle tones of the violin, and the low hum of the double bass fill the air with pressure ...

A burst of experimentation followed ChatGPT's release to the public in late 2022. Now many people are integrating the newest models and custom systems into what they do all day: their work. Chefs are ...

Harmonic analysis occupies a central position in modern mathematical analysis by providing the tools to express complex functions as superpositions of simpler sinusoidal components via the Fourier ...