26 citations · 139 across the 22 of their papers we have counts for
17 papers · 1 filter
Dynamics of sparse Boolean networks with multi-node and self-interactions
Christian John Hurry, Alexander Mozeika, Alessia Annibale
We analyse the equilibrium behaviour and non-equilibrium dynamics of sparse Boolean networks with self-interactions that evolve according to synchronous Glauber dynamics. Equilibri…
Replica analysis of overfitting in generalized linear models
ACC Coolen, M Sheikh, A Mozeika +2
Nearly all statistical inference methods were developed for the regime where the number of data samples is much larger than the data dimension . Inference protocols such as…
Replica analysis of Bayesian data clustering
Alexander Mozeika, Anthony CC Coolen
We use statistical mechanics to study model-based Bayesian data clustering. In this approach, each partition of the data into clusters is regarded as a microscopic system state, th…
Mean-field theory of Bayesian clustering
Alexander Mozeika, Anthony CC Coolen
We show that model-based Bayesian clustering, the probabilistically most systematic approach to the partitioning of data, can be mapped into a statistical physics problem for a gas…
The role of idiotypic interactions in the adaptive immune system: a belief-propagation approach
Silvia Bartolucci, Alexander Mozeika, Alessia Annibale
In this work we use belief-propagation techniques to study the equilibrium behaviour of a minimal model for the immune system comprising interacting T and B clones. We investigate…
Statistical mechanics of clonal expansion in lymphocyte networks modelled with slow and fast variables
Alexander Mozeika, Anthony CC Coolen
We study the Langevin dynamics of the adaptive immune system, modelled by a lymphocyte network in which the B cells are interacting with the T cells and antigen. We assume that B c…
Spin systems on hypercubic Bethe lattices: A Bethe-Peierls approach
Alexander Mozeika, Anthony CC Coolen
We study spin systems on Bethe lattices constructed from d-dimensional hypercubes. Although these lattices are not tree-like, and therefore closer to real cubic lattices than Bethe…
Consistent inference of a general model using the pseudo-likelihood method
Alexander Mozeika, Onur Dikmen, Joonas Piili
Recently maximum pseudo-likelihood (MPL) inference method has been successfully applied to statistical physics models with intractable likelihoods. We use information theory to der…
Projected generalized free energies for non-equilibrium states
Alexander Mozeika
We develop a systematic procedure to approximate generalized free energy in out of equilibrium stochastic systems. The procedure only requires knowledge of the averages of macrosco…
On reliable computation by noisy random Boolean formulas
Alexander Mozeika, David Saad
We study noisy computation in randomly generated k-ary Boolean formulas. We establish bounds on the noise level above which the results of computation by random formulas are not re…
Islands of equilibrium in a dynamical world
David Saad, Alexander Mozeika
Many natural, technological and social systems are inherently not in equilibrium. We show, by detailed analysis of exemplar models, the emergence of equilibrium-like behavior in lo…
Phase transitions and memory effects in the dynamics of Boolean networks
Alexander Mozeika, David Saad
The generating functional method is employed to investigate the synchronous dynamics of Boolean networks, providing an exact result for the system dynamics via a set of macroscopic…
Dynamics of Boolean networks - an exact solution
Alexander Mozeika, David Saad
The dynamics of Boolean networks (BN) with quenched disorder and thermal noise is studied via the generating functional method. A general formulation, suitable for BN with any dist…
Noisy Random Boolean Formulae - a Statistical Physics Perspective
Alexander Mozeika, David Saad, Jack Raymond
Typical properties of computing circuits composed of noisy logical gates are studied using the statistical physics methodology. A growth model that gives rise to typical random Boo…
Computing with Noise - Phase Transitions in Boolean Formulas
Alexander Mozeika, David Saad, Jack Raymond
Computing circuits composed of noisy logical gates and their ability to represent arbitrary Boolean functions with a given level of error are investigated within a statistical mech…
Dynamical replica analysis of processes on finitely connected random graphs II: Dynamics in the Griffiths phase of the diluted Ising ferromagnet
A. Mozeika, A. C. C. Coolen
We study the Glauber dynamics of Ising spin models with random bonds, on finitely connected random graphs. We generalize a recent dynamical replica theory with which to predict the…
Dynamical replica analysis of processes on finitely connected random graphs I: vertex covering
A. Mozeika, A. C. C. Coolen
We study the stochastic dynamics of Ising spin models with random bonds, interacting on finitely connected Poissonnian random graphs. We use the dynamical replica method to derive…