23 citations · 28 across the 2 of their papers we have counts for
5 papers
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…
A Dynamical Mean-Field Theory for Learning in Restricted Boltzmann Machines
Burak Çakmak, Manfred Opper
We define a message-passing algorithm for computing magnetizations in Restricted Boltzmann machines, which are Ising models on bipartite graphs introduced as neural network models…
Analysis of Bayesian Inference Algorithms by the Dynamical Functional Approach
Burak Çakmak, Manfred Opper
We analyze the dynamics of an algorithm for approximate inference with large Gaussian latent variable models in a student-teacher scenario. To model nontrivial dependencies between…
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…
Dynamical Functional Theory for Compressed Sensing
Burak Çakmak, Manfred Opper, Ole Winther +1
We introduce a theoretical approach for designing generalizations of the approximate message passing (AMP) algorithm for compressed sensing which are valid for large observation ma…