302 citations · 1k across the 48 of their papers we have counts for
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Exact solution to the random sequential dynamics of a message passing algorithm
Burak Çakmak, Manfred Opper
We analyze the random sequential dynamics of a message passing algorithm for Ising models with random interactions in the large system limit. We derive exact results for the two-ti…
Memory-free dynamics for the TAP equations of Ising models with arbitrary rotation invariant ensembles of random coupling matrices
Burak Çakmak, Manfred Opper
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 ther…
A statistical physics approach to learning curves for the Inverse Ising problem
Ludovica Bachschmid-Romano, Manfred Opper
Using methods of statistical physics, we analyse the error of learning couplings in large Ising models from independent data (the inverse Ising problem). We concentrate on learning…
Inferring hidden states in Langevin dynamics on large networks: Average case performance
Barbara Bravi, Manfred Opper, Peter Sollich
We present average performance results for dynamical inference problems in large networks, where a set of nodes is hidden while the time trajectories of the others are observed. Ex…
Extended Plefka Expansion for Stochastic Dynamics
Barbara Bravi, Peter Sollich, Manfred Opper
We propose an extension of the Plefka expansion, which is well known for the dynamics of discrete spins, to stochastic differential equations with continuous degrees of freedom and…
A Theory of Solving TAP Equations for Ising Models with General Invariant Random Matrices
Manfred Opper, Burak Çakmak, Ole Winther
We consider the problem of solving TAP mean field equations by iteration for Ising model with coupling matrices that are drawn at random from general invariant ensembles. We develo…