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#gaussian

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I don't remember much about #Markov Chains, #Random-Walk. Fokker-Planck. Jeez Louise. Scratched around trying to read and understand stuff. Fortunately at the time, my advisor cleared the decks, said don't bother, here is a 2-D #Gaussian dispersion model I wrote in BASIC. Re-write it in #FORTRAN and add two flavors: a #Lagrangian and a K-theory particle dispersion model, for a convective boundary layer. Use those formulations for a connective boundary layer you learned in Turbulence.

Congratulations to @OlivierSupplisson for his beautiful #spatiotemporal analysis of the #seroprevalence of #herpesviruses (#HSV1, #HSV2, #VZV, #EBV, and #CMV in #france

This is massive #data from #CERBA (>300,000 serologies) and beautiful #latent #gaussian #Models in #R-INLA!

tandfonline.com/doi/full/10.10

(don't hesitate to contact us for PDF versions)

@CirbCdf @cnrs @collegedefrance #inserm

Added a convolution kernel filtering operator for polygons/polylines to thi.ng/geom, incl. some useful preset kernels: box filter, triangle, gaussian, all with configurable size...

The image shows effects of various kernel sizes & iterations. Unlike with subdivision smoothing, here each version has the exact same number of vertices, only their positions are impacted: orange = box, magenta = triangle, blue = gaussian

(For now the operator is only implemented for polygons (also w/ holes) & polylines, but can be extended to other shape types...)

Replied in thread

I've made a fast soft-saturated #Gaussian approximation #PRNG.

joelkp.frama.io/blog/ran-softs

It's based on the Box-Muller transform, but changes it to:
1) Map each 32-bit integer input to two "independent" 32-bit uniform random numbers.
2) Use polynomials to transform those into the output, instead of sqrt(), log(), and sin() or cos().

For audio, when bounded amplitude is wanted, I think it's better than a real Gaussian PRNG. It's also in saugns v0.4.0 (sau.frama.io/language.html#ras).

joelkp.frama.ioGaussian soft-saturated random-access noiseMaking 'random-access noise' a roughly soft-saturated Gaussian, adapting the Box-Muller algorithm.