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- Pablo M. Olmos, Rüdiger L. Urbanke
- IEEE Transactions on Information Theory
- 2015

Spatially-coupled low-density parity-check (SC-LDPC) codes are known to have excellent asymptotic properties. Much less is known regarding their finite-length performance. We propose a scaling law to predict the error probability of finite-length spatially coupled code ensembles when transmission takes place over the binary erasure channel. We discuss how… (More)

- Jesse Read, Luca Martino, Pablo M. Olmos, David Luengo
- Pattern Recognition
- 2015

Multi-output inference tasks, such as multi-label classification, have become increasingly important in recent years. A popular method for multi-label classification is classifier chains, in which the predictions of individual classifiers are cascaded along a chain, thus taking into account inter-label dependencies and improving the overall performance.… (More)

- Pablo M. Olmos, Rüdiger L. Urbanke
- 2011 IEEE International Symposium on Information…
- 2011

We study the scaling behavior of coupled sparse graph codes over the binary erasure channel. In particular, let 2L+1 be the length of the coupled chain, let M be the number of variables in each of the 2L+1 local copies, let ℓ be the number of iterations, let P<inf>b</inf> denote the bit error probability, and let ∈ denote the channel… (More)

- Pablo M. Olmos, Juan José Murillo-Fuentes
- 2010 IEEE International Symposium on Information…
- 2010

Expectation Propagation is a generalization to Belief Propagation (BP) in two ways. First, it can be used with any exponential family distribution over the cliques in the graph. Second, it can impose additional constraints on the marginal distributions. We use this second property to impose pair-wise marginal distribution constraints in some check nodes of… (More)

- Markus Stinner, Pablo M. Olmos
- 2014 IEEE International Symposium on Information…
- 2014

The peeling decoding for spatially coupled low-density parity-check (SC-LDPC) codes is analyzed for a binary erasure channel. An analytical calculation of the mean evolution of degree-one check nodes of protograph-based SC-LDPC codes is given and an estimate for the covariance evolution of degree-one check nodes is proposed in the stable decoding phase… (More)

- Pablo M. Olmos, Juan José Murillo-Fuentes, Fernando Pérez-Cruz
- IEEE Communications Letters
- 2011

In this paper, we propose Tree-structured Expectation Propagation (TEP) algorithm to decode finite-length LowDensity Parity-Check (LDPC) codes. The TEP decoder is able to continue decoding once the standard Belief Propagation (BP) decoder fails, presenting the same computational complexity as the BP decoder. The BP algorithm is dominated by the presence of… (More)

- Pablo M. Olmos, Juan José Murillo-Fuentes, Fernando Pérez-Cruz
- IEEE Transactions on Signal Processing
- 2010

In this paper, we introduce a new approach for nonlinear equalization based on Gaussian processes for classification (GPC). We propose to measure the performance of this equalizer after a low-density parity-check channel decoder has detected the received sequence. Typically, most channel equalizers concentrate on reducing the bit error rate, instead of… (More)

- Pablo M. Olmos, Juan José Murillo-Fuentes, Fernando Pérez-Cruz
- IEEE Transactions on Information Theory
- 2013

We present the tree-structure expectation propagation (Tree-EP) algorithm to decode low-density parity-check (LDPC) codes over discrete memoryless channels (DMCs). Expectation propagation generalizes belief propagation (BP) in two ways. First, it can be used with any exponential family distribution over the cliques in the graph. Second, it can impose… (More)

- Javier Cespedes, Pablo M. Olmos, Matilde Sánchez Fernández, Fernando Pérez-Cruz
- IEEE Trans. Communications
- 2014

- Markus Stinner, Pablo M. Olmos
- IEEE Journal on Selected Areas in Communications
- 2016

An analysis of spatially-coupled low-density parity-check (SC-LDPC) codes constructed from protographs is proposed. Given the protograph used to generate the SC-LDPC code ensemble, a set of scaling parameters to characterize the average finite-length performance in the waterfall region is computed. The error performance of structured SC-LDPC code ensembles… (More)