Neural polar decoders are extended to insertion-deletion-substitution and DNA storage channels, achieving near-benchmark decoding and mutual information estimates with reduced complexity.
Warping effects in strongly perturbed metrics
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abstract
A technique devised some years ago permits to study a theory in a regime of strong perturbations. This translates into a gradient expansion that, at the leading order, can recover the BKL solution in general relativity. We solve exactly the leading order Einstein equations in a spherical symmetric case, assuming a Schwarzschild metric under the effect of a time-dependent perturbation, and we show that the 4-velocity in such a case is multiplied by an exponential warp factor when the perturbation is properly applied. This factor is always greater than one. We will give a closed form solution of this factor for a simple case. Some numerical examples are also given.
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Neural Polar Decoders for DNA Data Storage
Neural polar decoders are extended to insertion-deletion-substitution and DNA storage channels, achieving near-benchmark decoding and mutual information estimates with reduced complexity.