9 papers · 1 filter
Concatenated Codes for Short-Molecule DNA Storage with Sequencing Channels of Positive Zero-Undetected-Error Capacity
Ran Tamir, Nir Weinberger, Albert Guillén i Fàbregas
We study the amount of reliable information that can be stored in a DNA-based storage system with noisy sequencing, where each codeword is composed of short DNA molecules. We analy…
Achievable Rates and Error Exponents for a Class of Mismatched Compound Channels
Priyanka Patel, Francesc Molina, Albert Guillén i Fàbregas
This paper investigates achievable information rates and error exponents of mismatched decoding when the channel belongs to the class of channels that are close to the decoding met…
A Refinement of Expurgation
Giuseppe Cocco, Albert Guillén i Fàbregas, Josep Font-Segura
We show that for a wide range of channels and code ensembles with pairwise-independent codewords, with probability tending to 1 with the code length, expurgating an arbitrarily sma…
Universal Neyman-Pearson Classification with a Known Hypothesis
Parham Boroumand, Albert Guillén i Fàbregas
We propose a universal classifier for binary Neyman-Pearson classification where null distribution is known while only a training sequence is available for the alternative distribu…
Typical Error Exponents: A Dual Domain Derivation
Giuseppe Cocco, Albert Guillén i Fàbregas, Josep Font-Segura
This paper shows that the probability that the error exponent of a given code randomly generated from a pairwise independent ensemble being smaller than a lower bound on the typica…
Mismatched decoding reliability function at zero rate
Marco Bondaschi, Albert Guillén i Fàbregas, Marco Dalai
We derive an upper bound on the reliability function of mismatched decoding for zero-rate codes. The bound is based on a result by Komlós that shows the existence of a subcode with…