Statistical Mechanics of MAP Estimation: General Replica Ansatz

The large-system performance of maximum-a-poste-rior estimation is studied considering a general distortion function when the observation vector is received through a linear system with additive white Gaussian noise. The analysis considers the system matrix to be chosen from the large class of rotat...

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Veröffentlicht in:	IEEE transactions on information theory 2019-12, Vol.65 (12), p.7896-7934
Hauptverfasser:	Bereyhi, Ali, Muller, Ralf R., Schulz-Baldes, Hermann
Format:	Artikel
Sprache:	eng
Schlagworte:	Additives Broken symmetry compressive sensing Computer simulation Correlation analysis Decoupling decoupling principle Distortion equivalent single-user system Estimation Glass linear vector channel Mathematical analysis Matrix algebra Matrix methods Maximum-a-posterior estimation Random noise Random variables Recovery replica method replica simulator replica symmetry breaking Spin glasses Statistical mechanics statistical physics Symmetry Systems analysis Temperature distribution Thermodynamics zero norm
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