MathDB3 problems
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Conjecture on machine-learning basecallers reducing neighboring-nucleotide memory
A nanopore machine-learning-based basecaller converts the electric current at the nanopore into nucleotides. Basecaller memory conjecture. Such a basecaller already reduces the mem…
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Generalised Blahut–Arimoto capacity-achievement conjecture for Markov sources
Consider the noisy nanopore channel and a Markov source whose input is transmitted through it. The generalised Blahut–Arimoto algorithm (GBAA) is used to optimise the Markov source…
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Generalised Blahut–Arimoto optimisation conjecture for noisy nanopore channels
A noisy nanopore channel is obtained by concatenating an i.i.d. duplication channel with a finite-state semi-Markov channel; finite-state semi-Markov channels are a subclass of cha…