26 citations · 139 across the 22 of their papers we have counts for
25 papers
Replica analysis of overfitting in regression models for time to event data: the impact of censoring
Emanuele Massa, Alexander Mozeika, Anthony Coolen
We use statistical mechanics techniques, viz. the replica method, to model the effect of censoring on overfitting in Cox's proportional hazards model, the dominant regression metho…
Carnot: A highly Scalable and Responsive BFT Consensus protocol
Mohammad M. Jalalzai, Alexander Mozeika, Marcin P. Pawlowski +1
We present Carnot, a leader-based Byzantine Fault Tolerant (BFT) consensus protocol that is responsive and operates under the partially synchronous model. Responsive BFT consensus…
How to generate a fault-resilient network at a lower cost
Alexander Mozeika, Mohammad M. Jalalzai, Marcin P. Pawlowski
Blockchains facilitate decentralization, security, identity, and data management in cyber-physical systems. However, consensus protocols used in blockchains are prone to high messa…
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…
Vaccination with partial transmission and social distancing on contact networks
Christian John Hurry, Alexander Mozeika, Alessia Annibale
We study the impact of vaccination on the risk of epidemics spreading through structured networks using the cavity method of statistical physics. We relax the assumption that vacci…
Exact results on high-dimensional linear regression via statistical physics
Alexander Mozeika, Mansoor Sheikh, Fabian Aguirre-Lopez +2
It is clear that conventional statistical inference protocols need to be revised to deal correctly with the high-dimensional data that are now common. Most recent studies aimed at…
Space of Functions Computed by Deep-Layered Machines
Alexander Mozeika, Bo Li, David Saad
We study the space of functions computed by random-layered machines, including deep neural networks and Boolean circuits. Investigating the distribution of Boolean functions comput…
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…
Roles of repertoire diversity in robustness of humoral immune response
Alexander Mozeika, Franca Fraternali, Deborah Dunn-Walters +1
The adaptive immune system relies on diversity of its repertoire of receptors to protect the organism from a great variety of pathogens. Since the initial repertoire is the result…
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…
Transfer matrix analysis of one-dimensional majority cellular automata with thermal noise
Rémi Lemoy, Alexander Mozeika, Shinnosuke Seki
Thermal noise in a cellular automaton refers to a random perturbation to its function which eventually leads this automaton to an equilibrium state controlled by a temperature para…
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…