Abstract: Neural Ordinary Differential Equations (NODEs) revolutionize the way we view residual networks as solvers for initial value problems (IVPs), with layer depth serving as the time step. In ...

ABSTRACT: The paper firstly studies existence condition of solution via the corresponding characteristic eigenvalues condition. Secondly, we derive the representation for the general solution by using ...

In this tutorial, we will study two fundamental circuits in Electronics: the low-pass filter and the high-pass filter, independently of the input signal. In linear networks in a sinusoidal regime, the ...

In healthcare, time series data is extensively used to track patient metrics like vital signs, lab results, and treatment responses over time. This data is critical in monitoring disease progression, ...

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

There are lockers and knockers, limited slips and Sure Grips. Sometimes they're called Positractions and sometimes much worse. But this name game is really about the concept of pushing equal measures ...

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Abstract: In this paper, we present a short-time fundamental frequency estimation method based on a differential equation. Fundamental frequency estimation is a popular problem in audio analysis.

thank you for the amazing package. I'm very interested in differential abundance analysis. I have tryed the LDA and the RF approach and generally it works well. Nevertheless, I have one question ...