Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Burak Çakmak"'
We analyze the dynamics of a random sequential message passing algorithm for approximate inference with large Gaussian latent variable models in a student–teacher scenario. To model nontrivial dependencies between the latent variables, we assume ra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54d836e0a49ad630d3ca7b46c860bd3d
Autor:
Manfred Opper, Burak Çakmak
Publikováno v:
Physical Review E. 103
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-time correlation functions and the speed of convergence. The {\em de Alm
Autor:
Manfred Opper, Burak Çakmak
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 for probability distributions over spin configurations. To model nontr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b41d084252066783524d3dbf6496d9d6
http://arxiv.org/abs/2005.01560
http://arxiv.org/abs/2005.01560
Autor:
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 the latent variables, we assume random covariance matrices drawn from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3b02e8005ca364bdae5e72593c8deba
Autor:
Manfred Opper, Burak Çakmak
Publikováno v:
ISIT
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 of large-systems, we prove by means of the dynamical
Autor:
Manfred Opper, Burak Çakmak
Publikováno v:
Physical Review E. 99
We propose an iterative algorithm for solving the Thouless-Anderson-Palmer 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 t
Autor:
Burak Çakmak, Manfred Opper
Publikováno v:
Acta Physica Polonica B. 51:1673
We use freeness assumptions of random matrix theory to analyze the dynamical behavior of inference algorithms for probabilistic models with dense coupling matrices in the limit of large systems. For a toy Ising model, we are able to recover previous
Autor:
Manfred Opper, Burak Çakmak
Publikováno v:
ISIT
We study asymptotic properties of expectation propagation (EP) -- a method for approximate inference originally developed in the field of machine learning. Applied to generalized linear models, EP iteratively computes a multivariate Gaussian approxim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::453fe95c3b087bd84c7f6666dc395038
Publikováno v:
ISIT
Cakmak, B, Opper, M, Winther, O & Fleury, B H 2017, Dynamical Functional Theory for Compressed Sensing . in 2017 IEEE International Symposium on Information Theory (ISIT) . IEEE, I E E E International Symposium on Information Theory. Proceedings, pp. 2143-2147, 2017 IEEE International Symposium on Information Theory, Achen, Germany, 25/06/2017 . https://doi.org/10.1109/ISIT.2017.8006908
Cakmak, B, Opper, M, Winther, O & Fleury, B H 2017, Dynamical Functional Theory for Compressed Sensing . in 2017 IEEE International Symposium on Information Theory (ISIT) . IEEE, pp. 2143-2147, 2017 IEEE International Symposium on Information Theory, Aachen, North Rhine-Westphalia, Germany, 25/06/2017 . https://doi.org/10.1109/ISIT.2017.8006908
Cakmak, B, Opper, M, Winther, O & Fleury, B H 2017, Dynamical Functional Theory for Compressed Sensing . in 2017 IEEE International Symposium on Information Theory (ISIT) . IEEE, I E E E International Symposium on Information Theory. Proceedings, pp. 2143-2147, 2017 IEEE International Symposium on Information Theory, Achen, Germany, 25/06/2017 . https://doi.org/10.1109/ISIT.2017.8006908
Cakmak, B, Opper, M, Winther, O & Fleury, B H 2017, Dynamical Functional Theory for Compressed Sensing . in 2017 IEEE International Symposium on Information Theory (ISIT) . IEEE, pp. 2143-2147, 2017 IEEE International Symposium on Information Theory, Aachen, North Rhine-Westphalia, Germany, 25/06/2017 . https://doi.org/10.1109/ISIT.2017.8006908
We introduce a theoretical approach for designing generalizations of the approximate message passing (AMP) algorithm for compressed sensing which are valid for large observation matrices that are drawn from an invariant random matrix ensemble. By des
Publikováno v:
Opper, M, Cakmak, B & Winther, O 2016, ' A Theory of Solving TAP Equations for Ising Models with General Invariant Random Matrices ', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 11, 114002 . https://doi.org/10.1088/1751-8113/49/11/114002
Opper, M, Çakmak, B & Winther, O 2016, ' A theory of solving TAP equations for Ising models with general invariant random matrices ', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 11, 114002 . https://doi.org/10.1088/1751-8113/49/11/114002
Opper, M, Çakmak, B & Winther, O 2016, ' A theory of solving TAP equations for Ising models with general invariant random matrices ', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 11, 114002 . https://doi.org/10.1088/1751-8113/49/11/114002
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 develop an analysis of iterative algorithms using a dynamical functional app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5def0976bcb45971fba43004aa90c0c1
https://vbn.aau.dk/ws/files/230912277/Dynamical_TAP.pdf
https://vbn.aau.dk/ws/files/230912277/Dynamical_TAP.pdf