Analysis of sparse recovery algorithms via the replica method
From MaRDI portal
Publication:2106475
DOI10.1007/978-3-031-09745-4_5OpenAlexW4312350619MaRDI QIDQ2106475
Ralf R. Müller, Hermann Schulz-Baldes, Ali Bereyhi
Publication date: 14 December 2022
Full work available at URL: https://arxiv.org/abs/2212.09814
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)
Cites Work
- Unnamed Item
- A mathematical introduction to compressive sensing
- Atoms of all channels, unite! Average case analysis of multi-channel sparse recovery using greedy algorithms
- Large deviations asymptotics for spherical integrals
- The thermodynamic limit in mean field spin glass models
- The convex geometry of linear inverse problems
- Analysis of Regularized LS Reconstruction and Random Matrix Ensembles in Compressed Sensing
- Optimal Phase Transitions in Compressed Sensing
- Statistical Physics and Information Theory
- Counting faces of randomly projected polytopes when the projection radically lowers dimension
- Network Information Theory
- Differential Operators on a Semisimple Lie Algebra
- Randomly Spread CDMA: Asymptotics Via Statistical Physics
- On the Capacity Loss Due to Separation of Detection and Decoding
- The impact of frequency-flat fading on the spectral efficiency of CDMA
- On Sparse Vector Recovery Performance in Structurally Orthogonal Matrices via LASSO
- A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors
- The planar approximation. II
- Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation
- Statistical Mechanics of MAP Estimation: General Replica Ansatz
- Universality laws for randomized dimension reduction, with applications
- Vector Precoding for Gaussian MIMO Broadcast Channels: Impact of Replica Symmetry Breaking
- Asymptotic Analysis of MAP Estimation via the Replica Method and Applications to Compressed Sensing
- Rank Awareness in Joint Sparse Recovery
- Neighborliness of randomly projected simplices in high dimensions
- Random Matrix Theory and Wireless Communications
This page was built for publication: Analysis of sparse recovery algorithms via the replica method