Memory-free dynamics for the TAP equations of Ising models with arbitrary rotation invariant ensembles of random coupling matrices
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Abstract (arXiv)
We propose an iterative algorithm for solving the Thouless-Anderson-Palmer (TAP) equations of Ising models with arbitrary rotation invariant (random) coupling matrices. In the thermodynamic limit, we prove by means of the dynamical functional method that the proposed algorithm converges when the so-called de Almeida Thouless (AT) criterion is fulfilled. Moreover, we give exact analytical expressions for the rate of the convergence.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). First posted on arXiv 24 Jan 2019.
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Citing papers per year: 2021: 3; 2022: 1.
4 papers.
- 2021A unifying tutorial on Approximate Message Passingcited by 49
- 2021Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passingcited by 18
- 2021PCA Initialization for Approximate Message Passing in Rotationally Invariant Modelscited by 14
- 2022Analysis of Random Sequential Message Passing Algorithms for Approximate Inferencecited by 1
- 2022Analysis of Random Sequential Message Passing Algorithms for Approximate Inference16 Feb 2022
- 2021Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passing8 Dec 2021
- 2021PCA Initialization for Approximate Message Passing in Rotationally Invariant Models4 Jun 2021
- 2021A unifying tutorial on Approximate Message Passing5 May 2021