16 citations · 16 across the 2 of their papers we have counts for
5 papers
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…
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…