Universality of approximate message passing algorithms and tensor networks
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Publication:6616879
DOI10.1214/24-aap2056zbMath1547.9419MaRDI QIDQ6616879
Xinyi Zhong, Zhou Fan, Tianhao Wang
Publication date: 9 October 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Analysis of algorithms (68W40) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Information theory (general) (94A15)
Cites Work
- Unnamed Item
- High dimensional robust M-estimation: asymptotic variance via approximate message passing
- An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model
- Free probability and random matrices
- Rigidity of eigenvalues of generalized Wigner matrices
- Metrics on spaces of finite trees
- Sharp bounds for sums associated to graphs of matrices
- A CLT for a band matrix model
- Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
- Maxima of entries of Haar distributed matrices
- Bulk universality for generalized Wigner matrices
- Universality of approximate message passing algorithms
- Approximate message passing algorithms for rotationally invariant matrices
- Spectral radii of sparse random matrices
- Freeness over the diagonal for large random matrices
- The likelihood ratio test in high-dimensional logistic regression is asymptotically a rescaled Chi-square
- Universality in polytope phase transitions and message passing algorithms
- Asymptotically liberating sequences of random unitary matrices
- Multidimensional scaling of measures of distance between partitions
- Estimation of low-rank matrices via approximate message passing
- A theory of solving TAP equations for Ising models with general invariant random matrices
- Free Random Variables
- A Morita Type Proof of the Replica-Symmetric Formula for SK
- Lectures on the Combinatorics of Free Probability
- Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing
- Finite Sample Analysis of Approximate Message Passing Algorithms
- Asymptotic mutual information for the balanced binary stochastic block model
- Traffic Distributions and Independence: Permutation Invariant Random Matrices and the Three Notions of Independence
- Bayes-Optimal Convolutional AMP
- State evolution for approximate message passing with non-separable functions
- Algorithmic Analysis and Statistical Estimation of SLOPE via Approximate Message Passing
- Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices
- State evolution for general approximate message passing algorithms, with applications to spatial coupling
- Vector Approximate Message Passing
- Capacity lower bound for the Ising perceptron
- The Dynamics of Message Passing on Dense Graphs, with Applications to Compressed Sensing
- Information-Theoretically Optimal Compressed Sensing via Spatial Coupling and Approximate Message Passing
- Neighborliness of randomly projected simplices in high dimensions
- A CDMA multiuser detection algorithm on the basis of belief propagation
- A dynamical mean-field theory for learning in restricted Boltzmann machines
- A Unifying Tutorial on Approximate Message Passing
- Biwhitening Reveals the Rank of a Count Matrix
- Optimal Transport
- Universality of Linearized Message Passing for Phase Retrieval With Structured Sensing Matrices
- Graph-based Approximate Message Passing Iterations
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