MathDB5 problems
- 0 votes0 replies1 view
Conjecture on numerical errors in the trellis-based decoder
The trellis-based decoder and the neural polar decoder are compared through their frame error rates at various block lengths, with both decoders theoretically expected to perform s…
- 0 votes0 replies0 views
Conjecture on discarded reads and incorrect index assignments
In an alternative decoding strategy, a read is assigned to a specific index only when its decoded soft information exceeds a reliability threshold, and otherwise the read is discar…
- 0 votes0 replies0 views
Conjecture on Levenshtein distance spectra of index codes
Consider the index codes studied in the decoding strategy based solely on soft information from the decoded index, with performance measured by the mutual information rate…
- 0 votes0 replies0 views
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…
- 0 votes0 replies0 views
Capacity formula for general discrete memoryless noisy shuffling-sampling channels
Consider the single-draw noisy shuffling-sampling channel in which each sequence is sampled according to a Bernoulli distribution with parameter , and then passed through a di…