Matches in SemOpenAlex for { <https://semopenalex.org/work/W1942012113> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W1942012113 abstract "The aim of this paper is to show that spatial coupling can be viewed not only as a means to build better graphical models, but also as a tool to better understand uncoupled models. The starting point is the observation that some asymptotic properties of graphical models are easier to prove in the case of spatial coupling. In such cases, one can then use the so-called interpolation method to transfer results known for the spatially coupled case to the uncoupled one. Our main application of this framework is to LDPC codes, where we use interpolation to show that the average entropy of the codeword conditioned on the observation is asymptotically the same for spatially coupled as for uncoupled ensembles. We use this fact to prove the so-called Maxwell conjecture for a large class of ensembles. In a first paper last year, we have successfully implemented this strategy for the case of LDPC ensembles where the variable node degree distribution is Poisson. In the current paper we now show how to treat the practically more relevant case of general variable degree distributions. In particular, regular ensembles fall within this framework. As we will see, a number of technical difficulties appear when compared to the simpler case of Pois son- distributed degrees. For our arguments to hold we need symmetry to be present. For coding, this symmetry follows from the channel symmetry; for general graphical models the required symmetry is called Nishimori symmetry." @default.
- W1942012113 created "2016-06-24" @default.
- W1942012113 creator A5038854134 @default.
- W1942012113 creator A5054397051 @default.
- W1942012113 creator A5058759310 @default.
- W1942012113 date "2013-01-24" @default.
- W1942012113 modified "2023-10-01" @default.
- W1942012113 title "Spatial Coupling as a Proof Technique" @default.
- W1942012113 cites W1536930200 @default.
- W1942012113 cites W1578462792 @default.
- W1942012113 cites W1967744239 @default.
- W1942012113 cites W1974321276 @default.
- W1942012113 cites W1991528082 @default.
- W1942012113 cites W2019194947 @default.
- W1942012113 cites W2031852134 @default.
- W1942012113 cites W2077648298 @default.
- W1942012113 cites W2090156246 @default.
- W1942012113 cites W2114351639 @default.
- W1942012113 cites W2130042807 @default.
- W1942012113 cites W2134840900 @default.
- W1942012113 cites W2146712141 @default.
- W1942012113 cites W2150116694 @default.
- W1942012113 cites W2160844215 @default.
- W1942012113 cites W2170558200 @default.
- W1942012113 cites W2951478830 @default.
- W1942012113 cites W179407972 @default.
- W1942012113 hasPublicationYear "2013" @default.
- W1942012113 type Work @default.
- W1942012113 sameAs 1942012113 @default.
- W1942012113 citedByCount "6" @default.
- W1942012113 countsByYear W19420121132013 @default.
- W1942012113 countsByYear W19420121132014 @default.
- W1942012113 countsByYear W19420121132015 @default.
- W1942012113 crossrefType "posted-content" @default.
- W1942012113 hasAuthorship W1942012113A5038854134 @default.
- W1942012113 hasAuthorship W1942012113A5054397051 @default.
- W1942012113 hasAuthorship W1942012113A5058759310 @default.
- W1942012113 hasConcept C104114177 @default.
- W1942012113 hasConcept C105795698 @default.
- W1942012113 hasConcept C118615104 @default.
- W1942012113 hasConcept C127413603 @default.
- W1942012113 hasConcept C131584629 @default.
- W1942012113 hasConcept C134306372 @default.
- W1942012113 hasConcept C137800194 @default.
- W1942012113 hasConcept C154945302 @default.
- W1942012113 hasConcept C155846161 @default.
- W1942012113 hasConcept C179518139 @default.
- W1942012113 hasConcept C182365436 @default.
- W1942012113 hasConcept C2524010 @default.
- W1942012113 hasConcept C2779886137 @default.
- W1942012113 hasConcept C2780990831 @default.
- W1942012113 hasConcept C33923547 @default.
- W1942012113 hasConcept C41008148 @default.
- W1942012113 hasConcept C78519656 @default.
- W1942012113 hasConceptScore W1942012113C104114177 @default.
- W1942012113 hasConceptScore W1942012113C105795698 @default.
- W1942012113 hasConceptScore W1942012113C118615104 @default.
- W1942012113 hasConceptScore W1942012113C127413603 @default.
- W1942012113 hasConceptScore W1942012113C131584629 @default.
- W1942012113 hasConceptScore W1942012113C134306372 @default.
- W1942012113 hasConceptScore W1942012113C137800194 @default.
- W1942012113 hasConceptScore W1942012113C154945302 @default.
- W1942012113 hasConceptScore W1942012113C155846161 @default.
- W1942012113 hasConceptScore W1942012113C179518139 @default.
- W1942012113 hasConceptScore W1942012113C182365436 @default.
- W1942012113 hasConceptScore W1942012113C2524010 @default.
- W1942012113 hasConceptScore W1942012113C2779886137 @default.
- W1942012113 hasConceptScore W1942012113C2780990831 @default.
- W1942012113 hasConceptScore W1942012113C33923547 @default.
- W1942012113 hasConceptScore W1942012113C41008148 @default.
- W1942012113 hasConceptScore W1942012113C78519656 @default.
- W1942012113 hasLocation W19420121131 @default.
- W1942012113 hasOpenAccess W1942012113 @default.
- W1942012113 hasPrimaryLocation W19420121131 @default.
- W1942012113 hasRelatedWork W126753514 @default.
- W1942012113 hasRelatedWork W1536930200 @default.
- W1942012113 hasRelatedWork W1671384462 @default.
- W1942012113 hasRelatedWork W1707327817 @default.
- W1942012113 hasRelatedWork W1991528082 @default.
- W1942012113 hasRelatedWork W2058957447 @default.
- W1942012113 hasRelatedWork W2076859597 @default.
- W1942012113 hasRelatedWork W2123119950 @default.
- W1942012113 hasRelatedWork W2161188242 @default.
- W1942012113 hasRelatedWork W2767089775 @default.
- W1942012113 hasRelatedWork W2950275456 @default.
- W1942012113 hasRelatedWork W2962770701 @default.
- W1942012113 hasRelatedWork W2963278042 @default.
- W1942012113 hasRelatedWork W2963578263 @default.
- W1942012113 hasRelatedWork W3081119769 @default.
- W1942012113 hasRelatedWork W3100706365 @default.
- W1942012113 hasRelatedWork W3112568121 @default.
- W1942012113 hasRelatedWork W3113172140 @default.
- W1942012113 hasRelatedWork W3125530803 @default.
- W1942012113 hasRelatedWork W3205061038 @default.
- W1942012113 isParatext "false" @default.
- W1942012113 isRetracted "false" @default.
- W1942012113 magId "1942012113" @default.
- W1942012113 workType "article" @default.