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The nonlinearity in MLP is implemented by a fixed function such as a sigmoid.
More precisely, Shapiro proved that if the elements of an orthonormal sequence and their Fourier transforms are all pointwise bounded by a fixed function in L2(R) then the sequence is finite.
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Let,,,, and defined by, where is a fixed function, for example,.
Let be a fixed integer and a fixed function in.
Assume that is a fixed integer and is a fixed function in.
Let,,,, is a fixed function from, for example,.
where is a fixed function and is a suitably normalized function with positive real part.
The device costs about $1,500, which may seem expensive for a fixed-function type of computing device.
A PBN consists of a finite collection of BNs, each defined by a fixed network function, and a probability distribution that governs the switching between these BNs.
General classes of analytic functions defined by convolution with a fixed analytic function are introduced.
The basic idea behind this paper is to consider an ECG digital recording of two consecutive R-wave segments (RRR interval) as a noisy sample of an underlying function to be approximated by a fixed number of Radial Basis Functions (RBF).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com