66 citations · 404 across the 39 of their papers we have counts for
22 papers · 1 filter
From Chaos to Synchrony in Recurrent Excitatory-Inhibitory Networks with Target-Specific Inhibition
Carles Martorell, Rubén Calvo, Alessia Annibale +1
Biological neural networks can operate in qualitatively distinct dynamical regimes, and transitions between these regimes are thought to underlie changes in computation and behavio…
Ergodicity Breaking and High-Dimensional Chaos in Random Recurrent Networks
Carles Martorell, Rubén Calvo, Adrián Roig +2
The neural model introduced by Sompolinsky, Crisanti, and Sommers (SCS) nearly four decades ago has become a paradigmatic framework for studying complex dynamics in random recurren…
Dynamically selected steady states and criticality in non-reciprocal networks
Carles Martorell, Rubén Calvo, Alessia Annibale +1
Diverse equilibrium systems with heterogeneous interactions lie at the edge of stability. Such marginally stable states are dynamically selected as the most abundant ones or as tho…
Unsupervised and Supervised learning by Dense Associative Memory under replica symmetry breaking
Linda Albanese, Andrea Alessandrelli, Alessia Annibale +1
Statistical mechanics of spin glasses is one of the main strands toward a comprehension of information processing by neural networks and learning machines. Tackling this approach,…
About the de Almeida-Thouless line in neural networks
Linda Albanese, Andrea Alessandrelli, Adriano Barra +1
In this work we present a rigorous and straightforward method to detect the onset of the instability of replica-symmetric theories in information processing systems, which does not…
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…
Uncovering the non-equilibrium stationary properties in sparse Boolean networks
Giuseppe Torrisi, Reimer Kühn, Alessia Annibale
Dynamic processes of interacting units on a network are out of equilibrium in general. In the case of a directed tree, the dynamic cavity method provides an efficient tool that cha…
Overcoming the complexity barrier of the dynamic message-passing method in networks with fat-tailed degree distributions
Giuseppe Torrisi, Alessia Annibale, Reimer Kühn
The dynamic cavity method provides the most efficient way to evaluate probabilities of dynamic trajectories in systems of stochastic units with unidirectional sparse interactions.…
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…
The two-star model: exact solution in the sparse regime and condensation transition
Alessia Annibale, Owen T Courtney
The -star model is the simplest exponential random graph model that displays complex behavior, such as degeneracy and phase transition. Despite its importance, this model has be…
Protein interaction networks and biology: towards the connection
Alessia Annibale, Anthony C. C. Coolen, Nuria Planell-Morell
Protein interaction networks (PIN) are popular means to visualize the proteome. However, PIN datasets are known to be noisy, incomplete and biased by the experimental protocols use…
Associative networks with diluted patterns: dynamical analysis at low and medium load
Silvia Bartolucci, Alessia Annibale
In this work we solve the dynamics of pattern diluted associative networks, evolving via sequential Glauber update. We derive dynamical equations for the order parameters, that qua…
Extensive load in multitasking associative networks
Peter Sollich, Daniele Tantari, Alessia Annibale +1
We use belief-propagation techniques to study the equilibrium behavior of a bipartite spin-glass, with interactions between two sets of and spins. Each spin has a fini…
Immune networks: multi-tasking capabilities near saturation
Elena Agliari, Alessia Annibale, Adriano Barra +2
Pattern-diluted associative networks were introduced recently as models for the immune system, with nodes representing T-lymphocytes and stored patterns representing signalling pro…
Retrieving Infinite Numbers of Patterns in a Spin-Glass Model of Immune Networks
Elena Agliari, Alessia Annibale, Adriano Barra +2
The similarity between neural and immune networks has been known for decades, but so far we did not understand the mechanism that allows the immune system, unlike associative neura…
Immune networks: multi-tasking capabilities at medium load
Elena Agliari, Alessia Annibale, Adriano Barra +2
Associative network models featuring multi-tasking properties have been introduced recently and studied in the low load regime, where the number of simultaneously retrievable p…
Controlled Markovian dynamics of graphs: unbiased generation of random graphs with prescribed topological properties
E. S. Roberts, A. Annibale, A. C. C. Coolen
We analyze the properties of degree-preserving Markov chains based on elementary edge switchings in undirected and directed graphs. We give exact yet simple formulas for the mobili…
Dynamic heterogeneities in critical coarsening: Exact results for correlation and response fluctuations in finite-sized spherical models (Version 2)
Alessia Annibale, Peter Sollich
This manuscript, a revised version of arXiv:0811.3168v1, was inadvertently submitted as a separate paper. It can now be accessed, including some final corrections for the published…
Dynamic heterogeneities in critical coarsening: Exact results for correlation and response fluctuations in finite-sized spherical models
Alessia Annibale, Peter Sollich
We study dynamic heterogeneities in the out-of-equilibrium coarsening dynamics of the spherical ferromagnet after a quench from infinite temperature to its critical point. A standa…
Fluctuation-dissipation relations in critical coarsening: crossover from unmagnetized to magnetized initial states
Alessia Annibale, Peter Sollich
We study the non-equilibrium dynamics of the spherical ferromagnet quenched to its critical temperature, as a function of the magnetization of the initial state. The two limits of…
Spin, bond and global fluctuation-dissipation relations in the non-equilibrium spherical ferromagnet
A. Annibale, P. Sollich
We study the out-of-equilibrium dynamics of the spherical ferromagnet after a quench to its critical temperature. We calculate correlation and response functions for spin observabl…
Coexistence of supersymmetric and supersymmetry-breaking states in spherical spin-glasses
Alessia Annibale, Giulia Gualdi, Andrea Cavagna
The structure of states of the perturbed p-spin spherical spin-glass is analyzed. At low enough free energy metastable states have a supersymmetric structure, while at higher free…