Published papers
123. E. Agliari, A. Alessandrelli, A. Barra, M.S. Centonze, F. Ricci-Tersenghi,
Networks of neural networks: the more is different
submitted to Neural Networks. (2024).
122. E. Agliari, A. Alessandrelli, A. Barra, M.S. Centonze, F. Ricci-Tersenghi,
Generalized hetero-associative neural networks
submitted to J. Stat. Mech. arxiv (2024).
121. E. Agliari, A. Barra, P. Bianco, A. Fachechi, D. Pallara
The thermodynamic limit of mean field neural networks
submitted to Comm. Math. Phys. arxiv (2024).
120. M. S. Centonze, A. Treves, E. Agliari, A. Barra,
Guerra interpolation for place cells
submitted to J. Stat. Phys. arxiv (2024).
119. L. Albanese, A. Alessandrelli, A. Annibale, A. Barra,
Replica Symmetry Breaking is supervised and unsupervised Hebbian networks
J. Phys. A: Math. & Theor. 57(16):165003 arxiv webpage (2024).
118. L. Albanese, A. Barra, P. Bianco, F. Durante, D. Pallara,
Hebbian Learning from first principles,
submitted to J. Math. Phys. arxiv (2024).
117. M. Aquaro, F. Alemanno, I. Kanter, F. Durante, A. Barra, E. Agliari,
Hebbian Dreaming for small datasets,
Neural Networks 173, 106174, webpage SSRN (2024).
116. E. Agliari, F. Alemanno, A. Barra, M. Castellana, D. Lotito, M. Piel
Inverse modeling of time-delayed interactions via the dynamic-entropy formalism,
Phys. Rev. E 110, 024301, arxiv webpage (2024).
115. E. Agliari, A. Alessandrelli, A. Barra, F. Ricci-Tersenghi,
Parallel learning in multitasking neural networks,
Journal of Statistical Mechanics 113402 arxiv webpage (2023).
114. M. S. Centonze, I. Kanter, A. Barra,
Statistical mechanics of learning via reverberation in bidirectional associative memories,
Physica A 129512, arxiv webpage (2023).
113. E. Agliari, F. Alemanno, M. Aquaro, A. Barra,
Ultrametric identities in glassy models of Natural Evolution,
J. Phys. A: Math. & Theor. 56, 385001 webpage arxiv (2023).
112. L. Albanese, A. Alessandrelli, A. Annibale, A. Barra,
On the Almeida-Thouless line in neural networks,
Physica A 663, 129372, arxiv webpage (2024).
111. F. Alemanno, M. Cavo, D. Delle Cave, E. D'amone, G. Gigli, E. Lonardo, A. Barra, L. Del Mercato,
Quantifyingin heterogeneity to drug response in cancer-stroma kinetics
PNAS 120(11) e2122352120 webpage (2023).
This article has a CNR press release (webpage, file).
This article has been featured in several divulgative Italian newspapers (e.g. LeScienze, Salute, etc.)
110. L. Albanese, F. Alemanno, A. Alessandrelli, A. Barra, F. Giannotti, D. Lotito, D. Pedreschi,
Dense neural networks: a replica symmetric picture of Unsupervised Learning,
Physica A combo paper with n.109. 627, 129143, arxiv webpage (2023).
109. L. Albanese, F. Alemanno, A. Alessandrelli, A. Barra, F. Giannotti, D. Lotito, D. Pedreschi,
Dense neural networks: a replica symmetric picture of Supervised Learning,
Physica A combo paper with n.110. 626, 129076, arxiv webpage (2023).
108. A. Barra, G. Catania, A. Decelle, B. Seoane,
Thermodynamics of bidirectional associative memories
J. Phys. A: Math. & Theor. arxiv webpage 56, 205005, (2023).
107. E. Agliari, M. Aquaro, A. Barra, A. Fachechi, C. Marullo,
From Pavlov Conditioning to Hebb Learning,
Neural Computation MIT Press a1, 28 arXiv webpage (2023).
106. F. Alemanno, M. Aquaro, I. Kanter, A. Barra, E. Agliari,
Supervised Hebbian learning
Europhys. Lett. (Perspective) 141, 11001 arxiv webpage (2022).
105. V. Onesto, S. Forniciti, F. Alemanno, K. Narajanankutty, A. Chandra, S. Prasad, A. Azzariti, G. Gigli, A. Barra, A. De Martino, D. De Martino, L. del Mercato,
Probing single cell fermentation flux and intercellular exchange networks via pH-microenvironment sensing and inverse modeling,
ACS Nano webpage bioRxiv (2022).
This article has a CNR press release (webpage, file).
This artichel has been selected for the cover of the Journal volume (link or file)
104. M. Aquaro, F. Alemanno, I. Kanter, F. Durante, E. Agliari, A. Barra,
Recurrent neural networks that generalize from examples and optimize by dreaming,
IEEE Trans. on Neural Nets and Learn Machines arXiv in press (2022).
103. A. Fachechi, E. Agliari, F. Alemanno, A. Barra,
Outperforming RBM feature-extraction capabilities by "dreaming" mechanisms,
IEEE Trans. on Neural Nets and Learn Machines 35(1), 1172 webpage (2024).
102. A. Chandra, S. Pandija, F. Alemanno, R. Rizzo, R. Romano, G. Gigli, C. Bucci, A. Barra, L. Del Mercato,
A fully automatic computational approach for precisely measuring organelle acidification,
ACS Appl. Mat. & Interf. 14, 16, 18133 webpage (2022).
This article has a CNR press release (webpage, file) and a "Le Scienze" press release (webpage, file).
101. L. Albanese, F. Alemanno, A. Alessandrelli, A. Barra,
Replica symmetry breaking in dense neural networks,
Journal of Statistical Physics arxiv webpage 189, 24 (2022).
100. E. Agliari, F. Alemanno, A. Barra, G. Di Marzio,
The emergence of a concept in shallow neural networks,
Neural Networks, 148, 232, arxiv webpage (2022).
99. E. Agliari, L. Albanese, A. Barra, F. Leonelli
On the effective initialization for Restricted Boltzmann machines via duality with Hopfield models,
Neural Networks 143, 314, webpage (2021).
98. E. Agliari, A. Barra, P. Sollich, L. Zdeborovà (editors),
Machine Learning & Statistical Physics: preface of the special issue
J. Phys. A: Math. & Theor. webpage (2020)
97. A. Chandra, S. Prasad, F. Alemanno, A. Barra, E. Lonardo, E. Paradiso, C. Albanese, L. del Mercato,
Microgel-based in vitro tumoroid platform for real time assessment of drug sensivity and resistance
Cancer Research: exp. and mol. ther. AACR Proc. (2020)
96. E. Agliari, L. Albanese, A. Barra, G. Ottaviani,
Replica symmetry breaking in associative neural networks: a few steps toward rigorous results,
J. Phys. A: Math. & Theor. 53, 41 webpage arxiv (2020).
95. E. Agliari, F. Alemanno, A. Barra, O.A. Barra, A. Fachechi, L. Franceschi Vento, L. Moretti,
Analysis of temporal correlation in heart rate variability through maximum entropy principle in a minimal pairwise glassy model,
Nature Scientific Reports 10, 15353, webpage (2020).
94. E. Agliari, A. Barra, O.A. Barra, A. Fachechi, L. Franceschi Vento, L. Moretti.
Detecting cardiac pathologies via machine learning on heart-rate variability time series and related markers,
Nature Scientific Reports 10, 8845, webpage (2020).
93. E. Agliari, F. Alemanno, A. Barra, A. Fachechi,
Generalized Guerra's interpolation scheme for dense associative neural networks,
Neural Networks 128, 254, arxiv webpage (2020).
92. D. Alberigi, A. Barra, P. Contucci, E. Mingione,
Annealing and replica symmetric bounds in Deep Boltzmann machines,
Journal of Statistical Physics webpage arxiv (2020). .
91. E. Agliari, F. Alemanno, A. Barra, M. Centonze, A. Fachechi,
Neural networks with redundant representations: detecting the undetectable
Physical Review Letters 124, 028301 webpage arxiv (2020).
90. E. Agliari, A. Barra, M. Castellana, M. Piel, P. Saez, P. Vergas
A statitical-inference approach to reconstruct intercellular interactions in cell migration experiments,
Science Advances 6, 11 webpage arxiv (2020).
89. E. Agliari, F. Alemanno, A. Barra, A. Fachechi,
Dreaming neural networks: rigorous results,
Journal of Statistical Mechanics 083503 arxiv webpage (2019).
88. E. Agliari, F. Alemanno, A. Barra, A. Fachechi,
On the Marchenko-Pastur law in analog bipartite spin-glasses,
J. Phys. A: Math. & Theor. (Parisi-70) 52, 254002 arxiv webpage (2019).
87. E. Agliari, A. Barra, M. Notarnicola,
The relativistic Hopfield network: rigorous results,
Journal of Mathematical Physics 60, 03336, webpage arxiv (2019).
86. E. Agliari, A. Barra, B. Tirozzi,
Boltzmann machines: self-averaging properties and thermodynamic limits,
Journal of Statistical Mechanics 033301 webpage arxiv (2019).
85. A. Fachechi, E. Agliari, A. Barra,
Dreaming Neural Networks: forgetting spuirous memories and reinforcing pure ones.
Neural Networks 112, 24-40, arxiv website (2019).
This article has been featured in ScienceTrends (link here)
This article has been featured in all the main Italian newspapers (e.g. Repubblica, ANSA, etc.)
84. A. Pollini, L. Del Mercato, A. Barra, Y. S. Zhang, F. Calabi, G. Gigli,
Towards the development of human Immune System-on-a-chip platform,
Drug discovery today 24(2), 517, website paper (2019).
83. A. Barra, M. Beccaria, A. Fachechi,
A new mechanical approach to handle generalized Hopfield neural networks,
Neural Networks 106, 205, arxiv webpage (2018),
This article has been featured in ScienceTrends (link here)
82. E. Agliari, A. Barra, P. Contucci, A. Pizzoferrato, C. Vernia
Interactions and fluctuations: a case study from Social Sciences,
Nature Palgrave Communications 4, 55, webpage (2018)
81. E. Alfinito, A. Barra, M. Beccaria, A. Fachechi, G. Macorini,
Global awarness and risk-aversion, an evolutionary game model for behavioral gambit of loyalist,
EuroPhysics Letters 121, 38001,arxiv paper (2018).
80. E. Agliari, A. Barra, G. Landolfi, S. Murciano, S. Perrone,
Complex reaction kinetics in chemistry,
Complexity 7423297, arxiv webpage (2018).
79. A. Barra, G. Genovese. P. Sollich, D. Tantari
Phase Diagram of Restricted Boltzmann Machines & Generalized Hopfield Models,
Physical Review E. 97, 022310, arxiv webpage (2018).
The article has been selected in the highlights (Editor's choice) of the APS 2018
78. A. Barra, G. Genovese, P. Sollich, D. Tantari
Phase transitions in Restricted Boltzmann Machines with generic priors
Physical Review E 96, 042156, arXiv webpage (2017).
77. A. Barra, & al.
A novel protocol to evaluate the efficacy of chemotherapy induced human anticancer immunity in a microfluidic environment,
Nature Scientific Reports 7, 12737, webpage, (2017)
76. E. Agliari, A. Barra, C. Longo, D. Tantari
Neural Networks retrieving binary patterns in a sea of real ones,
Journal of Statistical Physics 168, 1085, paper arxiv webpage (2017).
75. E. Agliari, A. Annibale, A. Barra, A.C.C. Coolen, D. Tantari,
Retrieving infinite numbers of patterns in a spin glass model of immune networks,
Europhysics Letters 117, 28003, paper arXiv webpage (2017).
The article has been selected in the highlights (Editor's choice) of the IOP 2017
74. E. Agliari, A. Barra, L. Dello Schiavo, A. Moro,
Complete integrability of information processing by biochemical ractions,
Nature Scientific Reports 6, 36314 webpage arxiv (2016).
73. E. Agliari, A. Barra, A. Galluzzi, F. Requera-Silvente, D. Tantari,
Insights in Economical Complexity: boost of migrants small worlds
Nature Palgrave Communications 2, 16021 arxiv webpage paper (2016)
72. E. Agliari, A. Barra, A. Galluzzi, M. Javarone, D. Tantari, A. Pizzoferrato,
Emerging heterogeneities in Italian customs
PLoS One 10(12):e0144643 paper arxiv (2015)
71. E. Agliari, A. Barra, G. Del Ferraro, F. Guerra, D. Tantari,
Anergy in self-directed B-cells from a statistical mechanics perspective,
Journal of Theoretical Biology 375, 21–31 (2015). paper webpage
70. E. Agliari, A. Barra, F. Tavani, B. Tirozzi,
Motifs stability in hierarchical modular networks,
Mathematical Physics: from Theory to Applications (book), World Scientific Press paper preprint book (2015).
69. A. Barra, A. Moro,
Exact solution of the van der Waals model in the critical region,
Annals of Physics 359, 290-299 arxiv paper (2015).
68. E. Agliari, M. Altavilla, A. Barra, L. Dello Schiavo, E. Katz,
Notes on stochastic (bio)-logical gates: computing with allosteric cooperativity,
Nature Scientific Reports 5, 9415 paper arXiv webpage. (2015).
67. E. Agliari, A. Barra, A. Galluzzi, F. Guerra, F. Tavani, D. Tantari,
Topological properties of hierarchical networks,
Physical Review E 91, 062807, arxiv webpage (2015).
66. E. Agliari, A. Barra, A. Galluzzi, F. Guerra, F. Tavani, D. Tantari,
Hierarchical neural networks perform both serial and parallel processing,
Neural Networks 66, 22-35 arxiv webpage (2015).
65. E. Agliari, A. Barra, A. Galluzzi, F. Guerra, D. Tantari, F. Tavani,
Retrieval capabilities of hierarchical networks: From Dyson to Hopfield,
Physical Review Letters 114, 028103, paper arXiv paper webpage (2015).
64. E. Agliari, A. Barra, A. Galluzzi, F. Guerra, D. Tantari, F. Tavani,
Metastable states in the hierarchical Dyson model drive parallel processing in the hierarchical Hopfield network,
Journal of Physics A: Mathematical & Theoretical 48, 015001 arXiv webpage (2015).
The article has been selected in the highlights (best papers of the year) of the IOP 2015
63. A. Barra, P. Contucci. E. Mingione, D. Tantari,
Multi-Species mean-field spin-glasses: Rigorous results,
Annales Henrì Poincarè 16(3), 691-708 (2015). paper webpage
62. A. Annibale, A. Barra, P. Sollich, D. Tantari,
Extensive parallel processing on scale free networks,
Physical Review Letters 113, 238106 arXiv paper webpage. (2014).
61. A. Barra, A. Di Lorenzo, F. Guerra, A. Moro,
On quantum and relativistic mechanical analogues in mean field spin models,
Proceedings of the Royal Society A (London), 470, 20140589 webpage paper (2014).
60. E. Agliari, E. Biselli, A. De Ninno, G. Schiavoni, L. Gabriele, A. Gerardino, F. Mattei, A. Barra, L. Businaro,
Cancer driven dynamics of immune cells in a microfluidic enviroment,
Nature Scientific Reports 4, 6639, paper, arXiv. (2014).
59. E. Agliari, A. Barra, P. Contucci, R. Sandell, C. Vernia,
A stochastic approach for quantifying immigrant's interactions,
New Journal of Physics 16, 103034, paper, arXiv. (2014).
58. E. Agliari, A. Barra, A. Galluzzi, D. Tantari, F. Tavani,
A walk in the statistical mechanical formulation of neural networks,
NCTA2014: Neural computation theory & application (Proc.s), paper arXiv scipress. (2014).
57. E. Agliari, A. Annibale, A. Barra, A. Galluzzi, D. Tantari, F. Tavani,
Ferromagnetic models for cooperative behaviors: Revisiting "Universality" in complex phenomena,
Mathematical models and methods for Planet Heart (Proc.s), Springer-INdAM series 6, 73-86, (2014). paper webpage
56. M. Castellana, A. Barra, F. Guerra,
Free energy bounds for hierarchical spin models,
Journal of Statistical Physics 155, 211 (2013). paper webpage
55. A. Barra, P. Contucci, R. Sandell, C. Vernia,
An analysis of a large dataset on immigration integration in Spain: The statistical mechanics perspective of Social Action,
Nature Scientific Reports 4, 4174, (2014). paper webpage
54. E. Agliari, A. Barra, S. Franz, T. Thiago,
Some thoughts on the ontogenesis in B-cell immune networks,
Modeling Biological Systems (Proc.s) 67, Managing complexity, reducing perpexity, 71-79 Springer (2014). paper webpage
53. A. Barra, A. Galluzzi, F. Guerra, A. Pizzoferrato, D. Tantari,
Mean Field bipartite spin models treated with mechanical techniques,
European Physics Journal: B 87:74 (2014). paper webpage
52. E. Agliari, A. Barra, R. Burioni, A. Di Biasio, G. Uguzzoni,
Collective Behaviours: from biochemical kinetics to electronic circuits,
Nature Scientific Reports 3, 3458, (2013). paper webpage
51. A. Barra, G. Genovese, F. Guerra, D. Tantari,
A solvable mean field model of a gaussian spin glass,
Journal of Physics A: Mathematical & Theoretical 47, 155002, (2014). paper webpage
The article has been selected in the highlights (best papers of the year) of the IOP 2014
50. A. Barra, G. Del Ferraro, D. Tantari,
Mean-field spin-glasses treated with PDE techniques,
European Physics Journal: B 86, 332 (2013). paper webpage
49. E. Agliari, A. Annibale, A. Barra, A.C.C. Coolen, D. Tantari,
Immune networks: Multitasking capabilities close to saturation,
Journal of Physics A: Mathematical & Theoretical 46, 415003 (2013). paper webpage
The article has been selected in the highlights (best papers of the year) of the IOP 2013 (see here)
48. E. Agliari, A. Annibale, A. Barra, A.C.C. Coolen, D. Tantari,
Immune networks: Multitasking capabilities at medium load,
Journal of Physics A: Mathematical & Theoretical 46, 335 (2013). paper webpage
To this article (our first work on Immune Networks @IOP), IOP dedicated an "Insights" page providing further details (2013) (see here)
47. E. Agliari, A. Barra, A. Galluzzi, M. Isopi,
Multitasking attractor networks with neuronal threshold noises,
Neural Networks 49, 19-29(2013). paper webpage
46. E. Agliari, A. Barra, S. Bartolucci, A. Galluzzi, F. Moauro, F. Guerra,
Parallel processing in immune networks,
Physical Review E 870, 042701, (2013). paper webpage
45. E. Agliari, A. Barra, A. D'Antoni, A. Galluzzi,
Parallel retrieval of correlated patterns,
Neural Networks 38, 52-63, (2013).. paper webpage
44. E. Agliari, L. Asti, A. Barra, R. Scrivo, G. Valesini, R. Wallis,
Application of a stochastic modeling to assess the evolution of tuberculous and non-tuberculous mycobacterial infections in patients treated with tumor-necrosis-factor inhibitors,
PLoS-One 0055017, (2013). paper webpage
43. E. Agliari, A. Barra, A. Galluzzi, F. Moauro, F. Guerra,
Multitasking associative networks,
Physical Review Letters 109, 268101, (2012) . paper webpage
42. P. Sollich, A. Barra,
Spin glass polynomial identities from entropic contraints,
Journal of Physics A: Mathematical & Theoretical 45, 485001, (2012) . paper webpage
The article has been selected in the highlights (best papers of the year) of the IOP 2012 (see here).
41. E. Agliari, L. Asti, A. Barra, R. Burioni, G. Uguzzoni,
Analog neural networks on correlated random graphs,
Journal of Physics A: Mathematical & Theoretical 45, 365001, paper webpage (2012)
40. A. Barra, F. Guerra, G. Genovese, D.Tantari,
How glassy are neural networks?,
Journal of Statistical Mechanics P07009, (2012). paper webpage
39. A. Barra, P. Sollich,
Notes on the polynomial identities in random overlap structures,
Journal of Statistical Physics 147, 2, 351, paper webpage (2012).
38. E. Agliari, A. Barra, K. Gervasi-Vidal, F. Guerra,
Can persistent Epstein–Barr virus infection induce chronic fatigue syndrome as a Pavlov reflex of the immune response?,
Journal of Biological Dynamics 6, 2, 740, (2012). paper webpage
37. E. Agliari, A. Barra, R. Burioni, A. DiBiasio,
Notes on P-spin-glass studied via Hamilton-Jacobi and Smooth-Cavity techniques,
Journal of Mathematical Physics 53, 063304, (2012). paper webpage
36. E. Agliari, L. Asti, A. Barra, L. Ferrucci,
Organization and evolution of synthetic idiotypic network,
Physical Review E 85, 051989 (2012). paper webpage
35. A. Barra, A. Bernacchia, E. Santucci, P. Contucci,
On the equivalence among Hopfield neural networks and restricted Boltzman machines,
Neural Networks 34, 1-9, (2012). paper webpage
Selected also by the Advances in Engineering highlights.
34. E. Agliari, A. Barra, R. Burioni, F. Camboni, P. Contucci,
Effective interactions in group competition with strategic diffusive dynamics,
Intectual Archive Bullettin (Proc.s) 09/12 ISSN 1929-1329, (2012). paper webpage
33. A. Barra, F. Guerra, E. Mingione,
Interpolating the Sherrington-Kirkpatrick replica trick,
Philosophical Magazine 92 [David Sherrington 70 birthday] (2011). paper webpage
32. E. Agliari, A. Barra, R. Burioni, A. Di Biasio,
Mean field cooperativity in chemical kinetics,
Theoretical Chemistry Accounts (2012). paper webpage
31. A. Barra, E. Agliari,
A statistical mechanics approach to Granovetter theory,
Physica A (2011). paper webpage
30. A. Barra, G. Genovese, F. Guerra,
Equilibrium statistical mechanics of bipartite spin systems,
Journal of Physics A: Mathematical & Theoretical 44, 245002, (2011). paper webpage
29. E. Agliari, A. Barra, F. Moauro, F. Guerra,
A thermodynamical perspective of immune capabilities,
Journal of Theoretical Biology 267, 48, (2011). paper webpage
28. E. Agliari, A. Barra,
A Hebbian approach to complex network generation,
Europhysics Letters 94, 10002, (2011). paper webpage
27. E. Agliari, A. Barra, F. Camboni,
Notes on ferromagnetic diluted p-spin models,
Reports on Mathematical Physics 68, 1, (2011). paper webpage
26. A. Barra, E. Agliari,
Equilibrium statistical mechanics on correlated random graphs,
Journal of Statistical Mechanics P02027, (2011). paper webpage
25. A. Barra, A. Di Biasio, F. Guerra,
Replica symmetry breaking in mean field spin glasses trough Hamilton-Jacobi technique,
Journal of Statistical Mechanics P09006, (2010). paper webpage
24. A. Barra, E. Agliari,
Stochastic dynamics for idiotypic immune networks,
Physica A 389, 5093, (2010). paper webpage
23. E. Agliari, A. Barra, R. Burioni, P. Contucci,
New perspective in the equilibrium statistical mechanics approach to social and economic sciences,
Math. mod. of collective behavior in socio-economic and life-sciences (Proc.s), Birkhauser Editor, (2010). paper webpage
22. E. Agliari, A. Barra,
A statistical mechanics approach to autopoietic immune networks,
Journal of Statistical Mechanics P07004, (2010). paper webpage
21. A. Barra, P. Contucci,
Toward a quantitative approach to migrants integration,
Europhysics Letters 89, 68001-68007, (2010). paper webpage
20. A. Barra, G. Genovese, F. Guerra,
The replica symmetric approximation of the analogical neural network,
Journal of Statistical Physics 140, N.4, 784-796, (2010). paper webpage
19. A. Barra,
Driven transitions at the onset of ergodicity breaking in complex networks,
International Journal of Modern Physics B Vol 24 1-17 (2010). paper webpage
18. A. Barra, F. Guerra,
Locking of order parameters in analogical associative neural networks,
"Percorsi Incrociati" (book), Antonio Vitolo et al., eds. Collana Scienti ca di Ateneo, (2009). paper webpage
17. A. Barra, F. Camboni, P. Contucci,
Dilution robustness of mean field models,
Journal of Statistical Mechanics P03028, (2009). paper webpage
16. I. Gallo, A. Barra, P. Contucci,
Parameter Evaluation of a Simple Mean-Field Model of Social Interaction,
Mathematical Models and Methods in Applied Science 19, 1427-1439, (2009). paper webpage
15. G. Genovese, A. Barra,
A mechanical approach to mean field spin models,
Journal of Mathematical Physics 50, 053303, (2009). paper webpage
14. E. Agliari, A. Barra, R. Burioni, P. Contucci,
Acquaintance role for decision making and exchanges in social networks,
Evolution and Complexity Conference (Proc.s), JDyses, 2, N. 2, pgs 1-9, ISSN 1852-379X (2009). paper webpage
13. A. Barra, F. Guerra,
About the ergodic regime of the analogical Hopfield neural network,
Journal of Mathematical Physics 49, 125217, (2008) paper webpage
Selected by the American Physical Society for publication even in the annals "Virtual Journal of Biological Physics Research"
12. G. Achler, A. Barra,
A numerical investigation of jammed transition in traffic flow on random planar graphs,
International Journal of Modern Physics B 24,32, (2008). paper webpage
11. A. Barra,
Fluctuations induce transitions in frustrated sparse networks,
Fluctuations and noise letters 8, 3/4, L341-L348 (2008). paper webpage
10. A. Barra,
Notes on ferromagnetic p-spin and REM,
Mathematical Methods in Applied Sciences 32, 783-797, (2008). paper webpage
9. A. Barra, L. DeSanctis,
On the mean field spin glass transition,
European Physics Journal B 64, 119-124, (2008). paper webpage
8. L. DeSanctis, A. Barra, V. Folli,
Critical behavior of mean field spin glasses on a dilute random graph,
Journal of Physics A: Mathematical & Theoretical 41, 215005, (2008). paper webpage
7. A. Barra,
The Mean Field Ising Model trough Interpolating Techniques,
Journal of Statistical Physics 132, 5, 787-809, (2008). paper webpage
6. E. Agliari, A. Barra, F. Camboni,
Criticality in diluted ferromagnets,
Journal of Statistical Mechanics P10003, (2008). paper webpage
5. A. Barra, L. DeSanctis,
Free Energy Expansion in Quasi Stationary ROSt,
Advanced Studies in Theoretical Physics 1, 1-4, 29-37, (2007). paper
4. A. Barra, L. DeSanctis,
Stability properties and probability distribution of multi-overlaps in dilute spin glasses,
Journal of Statistical Mechanics P08025, (2007).paper webpage
3. A. Agostini, A. Barra, L. DeSanctis,
Positive-Overlap Transition and Critical Exponents for Mean Field Spin Glasses,
Journal of Statistical Mechanics P11015, (2006).paper webpage
2. A. Barra, L. DeSanctis,
Overlap fluctuations from Random Overlap Structures,
Journal of Mathematical Physics 47, 10, 103305, (2006). paper webpage
1. A. Barra,
Irreducible Free energy expansion and overlaps locking in mean field spin glasses,
Journal of Statistical Physics 123, 3, 601-614, (2006). paper webpage
Networks of neural networks: the more is different
submitted to Neural Networks. (2024).
122. E. Agliari, A. Alessandrelli, A. Barra, M.S. Centonze, F. Ricci-Tersenghi,
Generalized hetero-associative neural networks
submitted to J. Stat. Mech. arxiv (2024).
121. E. Agliari, A. Barra, P. Bianco, A. Fachechi, D. Pallara
The thermodynamic limit of mean field neural networks
submitted to Comm. Math. Phys. arxiv (2024).
120. M. S. Centonze, A. Treves, E. Agliari, A. Barra,
Guerra interpolation for place cells
submitted to J. Stat. Phys. arxiv (2024).
119. L. Albanese, A. Alessandrelli, A. Annibale, A. Barra,
Replica Symmetry Breaking is supervised and unsupervised Hebbian networks
J. Phys. A: Math. & Theor. 57(16):165003 arxiv webpage (2024).
118. L. Albanese, A. Barra, P. Bianco, F. Durante, D. Pallara,
Hebbian Learning from first principles,
submitted to J. Math. Phys. arxiv (2024).
117. M. Aquaro, F. Alemanno, I. Kanter, F. Durante, A. Barra, E. Agliari,
Hebbian Dreaming for small datasets,
Neural Networks 173, 106174, webpage SSRN (2024).
116. E. Agliari, F. Alemanno, A. Barra, M. Castellana, D. Lotito, M. Piel
Inverse modeling of time-delayed interactions via the dynamic-entropy formalism,
Phys. Rev. E 110, 024301, arxiv webpage (2024).
115. E. Agliari, A. Alessandrelli, A. Barra, F. Ricci-Tersenghi,
Parallel learning in multitasking neural networks,
Journal of Statistical Mechanics 113402 arxiv webpage (2023).
114. M. S. Centonze, I. Kanter, A. Barra,
Statistical mechanics of learning via reverberation in bidirectional associative memories,
Physica A 129512, arxiv webpage (2023).
113. E. Agliari, F. Alemanno, M. Aquaro, A. Barra,
Ultrametric identities in glassy models of Natural Evolution,
J. Phys. A: Math. & Theor. 56, 385001 webpage arxiv (2023).
112. L. Albanese, A. Alessandrelli, A. Annibale, A. Barra,
On the Almeida-Thouless line in neural networks,
Physica A 663, 129372, arxiv webpage (2024).
111. F. Alemanno, M. Cavo, D. Delle Cave, E. D'amone, G. Gigli, E. Lonardo, A. Barra, L. Del Mercato,
Quantifyingin heterogeneity to drug response in cancer-stroma kinetics
PNAS 120(11) e2122352120 webpage (2023).
This article has a CNR press release (webpage, file).
This article has been featured in several divulgative Italian newspapers (e.g. LeScienze, Salute, etc.)
110. L. Albanese, F. Alemanno, A. Alessandrelli, A. Barra, F. Giannotti, D. Lotito, D. Pedreschi,
Dense neural networks: a replica symmetric picture of Unsupervised Learning,
Physica A combo paper with n.109. 627, 129143, arxiv webpage (2023).
109. L. Albanese, F. Alemanno, A. Alessandrelli, A. Barra, F. Giannotti, D. Lotito, D. Pedreschi,
Dense neural networks: a replica symmetric picture of Supervised Learning,
Physica A combo paper with n.110. 626, 129076, arxiv webpage (2023).
108. A. Barra, G. Catania, A. Decelle, B. Seoane,
Thermodynamics of bidirectional associative memories
J. Phys. A: Math. & Theor. arxiv webpage 56, 205005, (2023).
107. E. Agliari, M. Aquaro, A. Barra, A. Fachechi, C. Marullo,
From Pavlov Conditioning to Hebb Learning,
Neural Computation MIT Press a1, 28 arXiv webpage (2023).
106. F. Alemanno, M. Aquaro, I. Kanter, A. Barra, E. Agliari,
Supervised Hebbian learning
Europhys. Lett. (Perspective) 141, 11001 arxiv webpage (2022).
105. V. Onesto, S. Forniciti, F. Alemanno, K. Narajanankutty, A. Chandra, S. Prasad, A. Azzariti, G. Gigli, A. Barra, A. De Martino, D. De Martino, L. del Mercato,
Probing single cell fermentation flux and intercellular exchange networks via pH-microenvironment sensing and inverse modeling,
ACS Nano webpage bioRxiv (2022).
This article has a CNR press release (webpage, file).
This artichel has been selected for the cover of the Journal volume (link or file)
104. M. Aquaro, F. Alemanno, I. Kanter, F. Durante, E. Agliari, A. Barra,
Recurrent neural networks that generalize from examples and optimize by dreaming,
IEEE Trans. on Neural Nets and Learn Machines arXiv in press (2022).
103. A. Fachechi, E. Agliari, F. Alemanno, A. Barra,
Outperforming RBM feature-extraction capabilities by "dreaming" mechanisms,
IEEE Trans. on Neural Nets and Learn Machines 35(1), 1172 webpage (2024).
102. A. Chandra, S. Pandija, F. Alemanno, R. Rizzo, R. Romano, G. Gigli, C. Bucci, A. Barra, L. Del Mercato,
A fully automatic computational approach for precisely measuring organelle acidification,
ACS Appl. Mat. & Interf. 14, 16, 18133 webpage (2022).
This article has a CNR press release (webpage, file) and a "Le Scienze" press release (webpage, file).
101. L. Albanese, F. Alemanno, A. Alessandrelli, A. Barra,
Replica symmetry breaking in dense neural networks,
Journal of Statistical Physics arxiv webpage 189, 24 (2022).
100. E. Agliari, F. Alemanno, A. Barra, G. Di Marzio,
The emergence of a concept in shallow neural networks,
Neural Networks, 148, 232, arxiv webpage (2022).
99. E. Agliari, L. Albanese, A. Barra, F. Leonelli
On the effective initialization for Restricted Boltzmann machines via duality with Hopfield models,
Neural Networks 143, 314, webpage (2021).
98. E. Agliari, A. Barra, P. Sollich, L. Zdeborovà (editors),
Machine Learning & Statistical Physics: preface of the special issue
J. Phys. A: Math. & Theor. webpage (2020)
97. A. Chandra, S. Prasad, F. Alemanno, A. Barra, E. Lonardo, E. Paradiso, C. Albanese, L. del Mercato,
Microgel-based in vitro tumoroid platform for real time assessment of drug sensivity and resistance
Cancer Research: exp. and mol. ther. AACR Proc. (2020)
96. E. Agliari, L. Albanese, A. Barra, G. Ottaviani,
Replica symmetry breaking in associative neural networks: a few steps toward rigorous results,
J. Phys. A: Math. & Theor. 53, 41 webpage arxiv (2020).
95. E. Agliari, F. Alemanno, A. Barra, O.A. Barra, A. Fachechi, L. Franceschi Vento, L. Moretti,
Analysis of temporal correlation in heart rate variability through maximum entropy principle in a minimal pairwise glassy model,
Nature Scientific Reports 10, 15353, webpage (2020).
94. E. Agliari, A. Barra, O.A. Barra, A. Fachechi, L. Franceschi Vento, L. Moretti.
Detecting cardiac pathologies via machine learning on heart-rate variability time series and related markers,
Nature Scientific Reports 10, 8845, webpage (2020).
93. E. Agliari, F. Alemanno, A. Barra, A. Fachechi,
Generalized Guerra's interpolation scheme for dense associative neural networks,
Neural Networks 128, 254, arxiv webpage (2020).
92. D. Alberigi, A. Barra, P. Contucci, E. Mingione,
Annealing and replica symmetric bounds in Deep Boltzmann machines,
Journal of Statistical Physics webpage arxiv (2020). .
91. E. Agliari, F. Alemanno, A. Barra, M. Centonze, A. Fachechi,
Neural networks with redundant representations: detecting the undetectable
Physical Review Letters 124, 028301 webpage arxiv (2020).
90. E. Agliari, A. Barra, M. Castellana, M. Piel, P. Saez, P. Vergas
A statitical-inference approach to reconstruct intercellular interactions in cell migration experiments,
Science Advances 6, 11 webpage arxiv (2020).
89. E. Agliari, F. Alemanno, A. Barra, A. Fachechi,
Dreaming neural networks: rigorous results,
Journal of Statistical Mechanics 083503 arxiv webpage (2019).
88. E. Agliari, F. Alemanno, A. Barra, A. Fachechi,
On the Marchenko-Pastur law in analog bipartite spin-glasses,
J. Phys. A: Math. & Theor. (Parisi-70) 52, 254002 arxiv webpage (2019).
87. E. Agliari, A. Barra, M. Notarnicola,
The relativistic Hopfield network: rigorous results,
Journal of Mathematical Physics 60, 03336, webpage arxiv (2019).
86. E. Agliari, A. Barra, B. Tirozzi,
Boltzmann machines: self-averaging properties and thermodynamic limits,
Journal of Statistical Mechanics 033301 webpage arxiv (2019).
85. A. Fachechi, E. Agliari, A. Barra,
Dreaming Neural Networks: forgetting spuirous memories and reinforcing pure ones.
Neural Networks 112, 24-40, arxiv website (2019).
This article has been featured in ScienceTrends (link here)
This article has been featured in all the main Italian newspapers (e.g. Repubblica, ANSA, etc.)
84. A. Pollini, L. Del Mercato, A. Barra, Y. S. Zhang, F. Calabi, G. Gigli,
Towards the development of human Immune System-on-a-chip platform,
Drug discovery today 24(2), 517, website paper (2019).
83. A. Barra, M. Beccaria, A. Fachechi,
A new mechanical approach to handle generalized Hopfield neural networks,
Neural Networks 106, 205, arxiv webpage (2018),
This article has been featured in ScienceTrends (link here)
82. E. Agliari, A. Barra, P. Contucci, A. Pizzoferrato, C. Vernia
Interactions and fluctuations: a case study from Social Sciences,
Nature Palgrave Communications 4, 55, webpage (2018)
81. E. Alfinito, A. Barra, M. Beccaria, A. Fachechi, G. Macorini,
Global awarness and risk-aversion, an evolutionary game model for behavioral gambit of loyalist,
EuroPhysics Letters 121, 38001,arxiv paper (2018).
80. E. Agliari, A. Barra, G. Landolfi, S. Murciano, S. Perrone,
Complex reaction kinetics in chemistry,
Complexity 7423297, arxiv webpage (2018).
79. A. Barra, G. Genovese. P. Sollich, D. Tantari
Phase Diagram of Restricted Boltzmann Machines & Generalized Hopfield Models,
Physical Review E. 97, 022310, arxiv webpage (2018).
The article has been selected in the highlights (Editor's choice) of the APS 2018
78. A. Barra, G. Genovese, P. Sollich, D. Tantari
Phase transitions in Restricted Boltzmann Machines with generic priors
Physical Review E 96, 042156, arXiv webpage (2017).
77. A. Barra, & al.
A novel protocol to evaluate the efficacy of chemotherapy induced human anticancer immunity in a microfluidic environment,
Nature Scientific Reports 7, 12737, webpage, (2017)
76. E. Agliari, A. Barra, C. Longo, D. Tantari
Neural Networks retrieving binary patterns in a sea of real ones,
Journal of Statistical Physics 168, 1085, paper arxiv webpage (2017).
75. E. Agliari, A. Annibale, A. Barra, A.C.C. Coolen, D. Tantari,
Retrieving infinite numbers of patterns in a spin glass model of immune networks,
Europhysics Letters 117, 28003, paper arXiv webpage (2017).
The article has been selected in the highlights (Editor's choice) of the IOP 2017
74. E. Agliari, A. Barra, L. Dello Schiavo, A. Moro,
Complete integrability of information processing by biochemical ractions,
Nature Scientific Reports 6, 36314 webpage arxiv (2016).
73. E. Agliari, A. Barra, A. Galluzzi, F. Requera-Silvente, D. Tantari,
Insights in Economical Complexity: boost of migrants small worlds
Nature Palgrave Communications 2, 16021 arxiv webpage paper (2016)
72. E. Agliari, A. Barra, A. Galluzzi, M. Javarone, D. Tantari, A. Pizzoferrato,
Emerging heterogeneities in Italian customs
PLoS One 10(12):e0144643 paper arxiv (2015)
71. E. Agliari, A. Barra, G. Del Ferraro, F. Guerra, D. Tantari,
Anergy in self-directed B-cells from a statistical mechanics perspective,
Journal of Theoretical Biology 375, 21–31 (2015). paper webpage
70. E. Agliari, A. Barra, F. Tavani, B. Tirozzi,
Motifs stability in hierarchical modular networks,
Mathematical Physics: from Theory to Applications (book), World Scientific Press paper preprint book (2015).
69. A. Barra, A. Moro,
Exact solution of the van der Waals model in the critical region,
Annals of Physics 359, 290-299 arxiv paper (2015).
68. E. Agliari, M. Altavilla, A. Barra, L. Dello Schiavo, E. Katz,
Notes on stochastic (bio)-logical gates: computing with allosteric cooperativity,
Nature Scientific Reports 5, 9415 paper arXiv webpage. (2015).
67. E. Agliari, A. Barra, A. Galluzzi, F. Guerra, F. Tavani, D. Tantari,
Topological properties of hierarchical networks,
Physical Review E 91, 062807, arxiv webpage (2015).
66. E. Agliari, A. Barra, A. Galluzzi, F. Guerra, F. Tavani, D. Tantari,
Hierarchical neural networks perform both serial and parallel processing,
Neural Networks 66, 22-35 arxiv webpage (2015).
65. E. Agliari, A. Barra, A. Galluzzi, F. Guerra, D. Tantari, F. Tavani,
Retrieval capabilities of hierarchical networks: From Dyson to Hopfield,
Physical Review Letters 114, 028103, paper arXiv paper webpage (2015).
64. E. Agliari, A. Barra, A. Galluzzi, F. Guerra, D. Tantari, F. Tavani,
Metastable states in the hierarchical Dyson model drive parallel processing in the hierarchical Hopfield network,
Journal of Physics A: Mathematical & Theoretical 48, 015001 arXiv webpage (2015).
The article has been selected in the highlights (best papers of the year) of the IOP 2015
63. A. Barra, P. Contucci. E. Mingione, D. Tantari,
Multi-Species mean-field spin-glasses: Rigorous results,
Annales Henrì Poincarè 16(3), 691-708 (2015). paper webpage
62. A. Annibale, A. Barra, P. Sollich, D. Tantari,
Extensive parallel processing on scale free networks,
Physical Review Letters 113, 238106 arXiv paper webpage. (2014).
61. A. Barra, A. Di Lorenzo, F. Guerra, A. Moro,
On quantum and relativistic mechanical analogues in mean field spin models,
Proceedings of the Royal Society A (London), 470, 20140589 webpage paper (2014).
60. E. Agliari, E. Biselli, A. De Ninno, G. Schiavoni, L. Gabriele, A. Gerardino, F. Mattei, A. Barra, L. Businaro,
Cancer driven dynamics of immune cells in a microfluidic enviroment,
Nature Scientific Reports 4, 6639, paper, arXiv. (2014).
59. E. Agliari, A. Barra, P. Contucci, R. Sandell, C. Vernia,
A stochastic approach for quantifying immigrant's interactions,
New Journal of Physics 16, 103034, paper, arXiv. (2014).
58. E. Agliari, A. Barra, A. Galluzzi, D. Tantari, F. Tavani,
A walk in the statistical mechanical formulation of neural networks,
NCTA2014: Neural computation theory & application (Proc.s), paper arXiv scipress. (2014).
57. E. Agliari, A. Annibale, A. Barra, A. Galluzzi, D. Tantari, F. Tavani,
Ferromagnetic models for cooperative behaviors: Revisiting "Universality" in complex phenomena,
Mathematical models and methods for Planet Heart (Proc.s), Springer-INdAM series 6, 73-86, (2014). paper webpage
56. M. Castellana, A. Barra, F. Guerra,
Free energy bounds for hierarchical spin models,
Journal of Statistical Physics 155, 211 (2013). paper webpage
55. A. Barra, P. Contucci, R. Sandell, C. Vernia,
An analysis of a large dataset on immigration integration in Spain: The statistical mechanics perspective of Social Action,
Nature Scientific Reports 4, 4174, (2014). paper webpage
54. E. Agliari, A. Barra, S. Franz, T. Thiago,
Some thoughts on the ontogenesis in B-cell immune networks,
Modeling Biological Systems (Proc.s) 67, Managing complexity, reducing perpexity, 71-79 Springer (2014). paper webpage
53. A. Barra, A. Galluzzi, F. Guerra, A. Pizzoferrato, D. Tantari,
Mean Field bipartite spin models treated with mechanical techniques,
European Physics Journal: B 87:74 (2014). paper webpage
52. E. Agliari, A. Barra, R. Burioni, A. Di Biasio, G. Uguzzoni,
Collective Behaviours: from biochemical kinetics to electronic circuits,
Nature Scientific Reports 3, 3458, (2013). paper webpage
51. A. Barra, G. Genovese, F. Guerra, D. Tantari,
A solvable mean field model of a gaussian spin glass,
Journal of Physics A: Mathematical & Theoretical 47, 155002, (2014). paper webpage
The article has been selected in the highlights (best papers of the year) of the IOP 2014
50. A. Barra, G. Del Ferraro, D. Tantari,
Mean-field spin-glasses treated with PDE techniques,
European Physics Journal: B 86, 332 (2013). paper webpage
49. E. Agliari, A. Annibale, A. Barra, A.C.C. Coolen, D. Tantari,
Immune networks: Multitasking capabilities close to saturation,
Journal of Physics A: Mathematical & Theoretical 46, 415003 (2013). paper webpage
The article has been selected in the highlights (best papers of the year) of the IOP 2013 (see here)
48. E. Agliari, A. Annibale, A. Barra, A.C.C. Coolen, D. Tantari,
Immune networks: Multitasking capabilities at medium load,
Journal of Physics A: Mathematical & Theoretical 46, 335 (2013). paper webpage
To this article (our first work on Immune Networks @IOP), IOP dedicated an "Insights" page providing further details (2013) (see here)
47. E. Agliari, A. Barra, A. Galluzzi, M. Isopi,
Multitasking attractor networks with neuronal threshold noises,
Neural Networks 49, 19-29(2013). paper webpage
46. E. Agliari, A. Barra, S. Bartolucci, A. Galluzzi, F. Moauro, F. Guerra,
Parallel processing in immune networks,
Physical Review E 870, 042701, (2013). paper webpage
45. E. Agliari, A. Barra, A. D'Antoni, A. Galluzzi,
Parallel retrieval of correlated patterns,
Neural Networks 38, 52-63, (2013).. paper webpage
44. E. Agliari, L. Asti, A. Barra, R. Scrivo, G. Valesini, R. Wallis,
Application of a stochastic modeling to assess the evolution of tuberculous and non-tuberculous mycobacterial infections in patients treated with tumor-necrosis-factor inhibitors,
PLoS-One 0055017, (2013). paper webpage
43. E. Agliari, A. Barra, A. Galluzzi, F. Moauro, F. Guerra,
Multitasking associative networks,
Physical Review Letters 109, 268101, (2012) . paper webpage
42. P. Sollich, A. Barra,
Spin glass polynomial identities from entropic contraints,
Journal of Physics A: Mathematical & Theoretical 45, 485001, (2012) . paper webpage
The article has been selected in the highlights (best papers of the year) of the IOP 2012 (see here).
41. E. Agliari, L. Asti, A. Barra, R. Burioni, G. Uguzzoni,
Analog neural networks on correlated random graphs,
Journal of Physics A: Mathematical & Theoretical 45, 365001, paper webpage (2012)
40. A. Barra, F. Guerra, G. Genovese, D.Tantari,
How glassy are neural networks?,
Journal of Statistical Mechanics P07009, (2012). paper webpage
39. A. Barra, P. Sollich,
Notes on the polynomial identities in random overlap structures,
Journal of Statistical Physics 147, 2, 351, paper webpage (2012).
38. E. Agliari, A. Barra, K. Gervasi-Vidal, F. Guerra,
Can persistent Epstein–Barr virus infection induce chronic fatigue syndrome as a Pavlov reflex of the immune response?,
Journal of Biological Dynamics 6, 2, 740, (2012). paper webpage
37. E. Agliari, A. Barra, R. Burioni, A. DiBiasio,
Notes on P-spin-glass studied via Hamilton-Jacobi and Smooth-Cavity techniques,
Journal of Mathematical Physics 53, 063304, (2012). paper webpage
36. E. Agliari, L. Asti, A. Barra, L. Ferrucci,
Organization and evolution of synthetic idiotypic network,
Physical Review E 85, 051989 (2012). paper webpage
35. A. Barra, A. Bernacchia, E. Santucci, P. Contucci,
On the equivalence among Hopfield neural networks and restricted Boltzman machines,
Neural Networks 34, 1-9, (2012). paper webpage
Selected also by the Advances in Engineering highlights.
34. E. Agliari, A. Barra, R. Burioni, F. Camboni, P. Contucci,
Effective interactions in group competition with strategic diffusive dynamics,
Intectual Archive Bullettin (Proc.s) 09/12 ISSN 1929-1329, (2012). paper webpage
33. A. Barra, F. Guerra, E. Mingione,
Interpolating the Sherrington-Kirkpatrick replica trick,
Philosophical Magazine 92 [David Sherrington 70 birthday] (2011). paper webpage
32. E. Agliari, A. Barra, R. Burioni, A. Di Biasio,
Mean field cooperativity in chemical kinetics,
Theoretical Chemistry Accounts (2012). paper webpage
31. A. Barra, E. Agliari,
A statistical mechanics approach to Granovetter theory,
Physica A (2011). paper webpage
30. A. Barra, G. Genovese, F. Guerra,
Equilibrium statistical mechanics of bipartite spin systems,
Journal of Physics A: Mathematical & Theoretical 44, 245002, (2011). paper webpage
29. E. Agliari, A. Barra, F. Moauro, F. Guerra,
A thermodynamical perspective of immune capabilities,
Journal of Theoretical Biology 267, 48, (2011). paper webpage
28. E. Agliari, A. Barra,
A Hebbian approach to complex network generation,
Europhysics Letters 94, 10002, (2011). paper webpage
27. E. Agliari, A. Barra, F. Camboni,
Notes on ferromagnetic diluted p-spin models,
Reports on Mathematical Physics 68, 1, (2011). paper webpage
26. A. Barra, E. Agliari,
Equilibrium statistical mechanics on correlated random graphs,
Journal of Statistical Mechanics P02027, (2011). paper webpage
25. A. Barra, A. Di Biasio, F. Guerra,
Replica symmetry breaking in mean field spin glasses trough Hamilton-Jacobi technique,
Journal of Statistical Mechanics P09006, (2010). paper webpage
24. A. Barra, E. Agliari,
Stochastic dynamics for idiotypic immune networks,
Physica A 389, 5093, (2010). paper webpage
23. E. Agliari, A. Barra, R. Burioni, P. Contucci,
New perspective in the equilibrium statistical mechanics approach to social and economic sciences,
Math. mod. of collective behavior in socio-economic and life-sciences (Proc.s), Birkhauser Editor, (2010). paper webpage
22. E. Agliari, A. Barra,
A statistical mechanics approach to autopoietic immune networks,
Journal of Statistical Mechanics P07004, (2010). paper webpage
21. A. Barra, P. Contucci,
Toward a quantitative approach to migrants integration,
Europhysics Letters 89, 68001-68007, (2010). paper webpage
20. A. Barra, G. Genovese, F. Guerra,
The replica symmetric approximation of the analogical neural network,
Journal of Statistical Physics 140, N.4, 784-796, (2010). paper webpage
19. A. Barra,
Driven transitions at the onset of ergodicity breaking in complex networks,
International Journal of Modern Physics B Vol 24 1-17 (2010). paper webpage
18. A. Barra, F. Guerra,
Locking of order parameters in analogical associative neural networks,
"Percorsi Incrociati" (book), Antonio Vitolo et al., eds. Collana Scienti ca di Ateneo, (2009). paper webpage
17. A. Barra, F. Camboni, P. Contucci,
Dilution robustness of mean field models,
Journal of Statistical Mechanics P03028, (2009). paper webpage
16. I. Gallo, A. Barra, P. Contucci,
Parameter Evaluation of a Simple Mean-Field Model of Social Interaction,
Mathematical Models and Methods in Applied Science 19, 1427-1439, (2009). paper webpage
15. G. Genovese, A. Barra,
A mechanical approach to mean field spin models,
Journal of Mathematical Physics 50, 053303, (2009). paper webpage
14. E. Agliari, A. Barra, R. Burioni, P. Contucci,
Acquaintance role for decision making and exchanges in social networks,
Evolution and Complexity Conference (Proc.s), JDyses, 2, N. 2, pgs 1-9, ISSN 1852-379X (2009). paper webpage
13. A. Barra, F. Guerra,
About the ergodic regime of the analogical Hopfield neural network,
Journal of Mathematical Physics 49, 125217, (2008) paper webpage
Selected by the American Physical Society for publication even in the annals "Virtual Journal of Biological Physics Research"
12. G. Achler, A. Barra,
A numerical investigation of jammed transition in traffic flow on random planar graphs,
International Journal of Modern Physics B 24,32, (2008). paper webpage
11. A. Barra,
Fluctuations induce transitions in frustrated sparse networks,
Fluctuations and noise letters 8, 3/4, L341-L348 (2008). paper webpage
10. A. Barra,
Notes on ferromagnetic p-spin and REM,
Mathematical Methods in Applied Sciences 32, 783-797, (2008). paper webpage
9. A. Barra, L. DeSanctis,
On the mean field spin glass transition,
European Physics Journal B 64, 119-124, (2008). paper webpage
8. L. DeSanctis, A. Barra, V. Folli,
Critical behavior of mean field spin glasses on a dilute random graph,
Journal of Physics A: Mathematical & Theoretical 41, 215005, (2008). paper webpage
7. A. Barra,
The Mean Field Ising Model trough Interpolating Techniques,
Journal of Statistical Physics 132, 5, 787-809, (2008). paper webpage
6. E. Agliari, A. Barra, F. Camboni,
Criticality in diluted ferromagnets,
Journal of Statistical Mechanics P10003, (2008). paper webpage
5. A. Barra, L. DeSanctis,
Free Energy Expansion in Quasi Stationary ROSt,
Advanced Studies in Theoretical Physics 1, 1-4, 29-37, (2007). paper
4. A. Barra, L. DeSanctis,
Stability properties and probability distribution of multi-overlaps in dilute spin glasses,
Journal of Statistical Mechanics P08025, (2007).paper webpage
3. A. Agostini, A. Barra, L. DeSanctis,
Positive-Overlap Transition and Critical Exponents for Mean Field Spin Glasses,
Journal of Statistical Mechanics P11015, (2006).paper webpage
2. A. Barra, L. DeSanctis,
Overlap fluctuations from Random Overlap Structures,
Journal of Mathematical Physics 47, 10, 103305, (2006). paper webpage
1. A. Barra,
Irreducible Free energy expansion and overlaps locking in mean field spin glasses,
Journal of Statistical Physics 123, 3, 601-614, (2006). paper webpage
Works submitted and/or in progress
WORKS IN FIERI
162. A. Barra, et al. Fibonacci and Parisi
161. A. Barra, et al. Pavlov learning via examples
160. A. Barra, et al., Palvov learning by dense networks
159. A. Barra, et al., Pavlov Classical Conditioning among RBMs
158. A. Barra et al. Dilute place cells for multiple environment recognition
157. A. Barra et al. Bayes [P(A|B)P(B)=P(B|A)P(A)] tra Hopfield e RBM (andata e ritorno, non solo andata!)
156. A. Barra et al. A gaussian prior on beta (centrata in beta0) in one-body model (RSB in T e Fourier)
155. A. Barra et al. A time for REM and a time for SWS: two parameters is better than one
154. A. Barra et al. Reaction kinetics and gene regulatory networks via BAM and TAM dualities
153. A. Barra et al. Generalizing Max-S by extending to moduli of vectors and not only directions
152. A. Barra et al. Inferring melodies and writing partiture: DeepPurle
151. A. Barra et al. The maxS for both angles & moduli
150. A. Barra et al. A society of Hopfield neural networks
149. A. Barra et al. Asymmetric neural networks à la Kanter-Sompolinsky in the high storage
148. A. Barra et al. Binaural Processing and Information Redundancy: costs and benefits.
147. A. Barra et al. The mixed Hebbian neural networks: a supervised + (1-a) unsupervised
146. A. Barra et al. The generalized dense BAM: retrieving sequences of patterns.
145. A. Barra et al. The thermodynamic limit of the BAM
144. A. Barra et al., The natural Loss Function for RBMs
143. A. Barra et al., Understanding arXiv via ChatGPT
142. A. Barra et al., Fitting and approximating Taylor-expanded functions via Hebb kernels
141. A. Barra et al., The Pietro Lio's fever mechanism. Connectivity and information processing in dynamical networks
140. A. Barra et al., Domain walls and history of EU: plan spin glasses et interfaces
139. A. Barra et al., Threshold for detecting undetectability by means of random examples
138. A. Barra et al., Lack of convergence of supervised vs unsupervised learning at 1RSB level of description: Sophism reloaded
137. A. Barra et al., Counting chimes with examples (coupled to 146)
136. A. Barra et al., GG & FDT-violation in 1RSB
135. A. Barra et al., Heavy tailed spin glasses and Guerra's interpolation
134. A. Barra et al., The emergence of a concept as a percolation in the dataset size M (ML & Graph Theory)
133. A. Barra et al., On the duality "Statistica Mech" vs "Analytical Mech": include the Legendre transforms for (F,S) and (L,H)
132. A. Barra et al. Self-organized criticality: d_S = d_E (as self-const in CW)
131. A. Barra et al, Scaling of Rosenblatt's perceptron theorem in infinite networks
130. A. Barra, il lim TD di Hopfield post GenoveseSollichTantari e Fekete2D
129. A. Barra, making inference with dot-S rather than max-S
128. A. Barra, Kalmann Filtering Theory
127. A. Barra, et al., the Hopfield model at medium storage: against the "low and/or high load" perspective.
126. A Barra et al., Learning in Immunology: hierarchical cytokines, high-dose tolerance and anergy trought threshold' shifts
125. A. Barra et al., The traveling salesman with examples
124. E. Agliari, A. Barra, The biological Ghirlanda-Guerra identities
123. A. Barra, L. Dello Schiavo, Looking at theoretical physics with formal logic glasses
122. A. Barra, Interpolation methods for Hopfield CAM (as H= \sum_mu^retrieved m_mu^2 + (1-q_{non-retrieved})^2)
xyz. A. Barra et chi vuole: fare BAM/TAM (hetero-associative neural nets) per cinetica di reazione con coefficiente di Hill positivo. Qui i patterns sono, per esempio in un contesto immunitaro, epitopi a cui legarsi e la rete e' un anticorpo che si lega a piu' epitopi in simultanea, con coefficiente di Hill positivo, cioe' il fatto che si lega ad uno dei tre aumenta la probabilita' che anche gli altri due layers riconoscano i loro rispettivi patterns, che nel linguaggio degli enzimi è allosteria. Nota: nel linguaggio della cinetica di reazione serve come input la concentrazione di cio' che i layers vedono (concentrazione del substrato) e nel linguaggio nostro questa e' banalmente M, cioe' il numero di esempi (cioe' il numero di molecole di quel tipo).
162. A. Barra, et al. Fibonacci and Parisi
161. A. Barra, et al. Pavlov learning via examples
160. A. Barra, et al., Palvov learning by dense networks
159. A. Barra, et al., Pavlov Classical Conditioning among RBMs
158. A. Barra et al. Dilute place cells for multiple environment recognition
157. A. Barra et al. Bayes [P(A|B)P(B)=P(B|A)P(A)] tra Hopfield e RBM (andata e ritorno, non solo andata!)
156. A. Barra et al. A gaussian prior on beta (centrata in beta0) in one-body model (RSB in T e Fourier)
155. A. Barra et al. A time for REM and a time for SWS: two parameters is better than one
154. A. Barra et al. Reaction kinetics and gene regulatory networks via BAM and TAM dualities
153. A. Barra et al. Generalizing Max-S by extending to moduli of vectors and not only directions
152. A. Barra et al. Inferring melodies and writing partiture: DeepPurle
151. A. Barra et al. The maxS for both angles & moduli
150. A. Barra et al. A society of Hopfield neural networks
149. A. Barra et al. Asymmetric neural networks à la Kanter-Sompolinsky in the high storage
148. A. Barra et al. Binaural Processing and Information Redundancy: costs and benefits.
147. A. Barra et al. The mixed Hebbian neural networks: a supervised + (1-a) unsupervised
146. A. Barra et al. The generalized dense BAM: retrieving sequences of patterns.
145. A. Barra et al. The thermodynamic limit of the BAM
144. A. Barra et al., The natural Loss Function for RBMs
143. A. Barra et al., Understanding arXiv via ChatGPT
142. A. Barra et al., Fitting and approximating Taylor-expanded functions via Hebb kernels
141. A. Barra et al., The Pietro Lio's fever mechanism. Connectivity and information processing in dynamical networks
140. A. Barra et al., Domain walls and history of EU: plan spin glasses et interfaces
139. A. Barra et al., Threshold for detecting undetectability by means of random examples
138. A. Barra et al., Lack of convergence of supervised vs unsupervised learning at 1RSB level of description: Sophism reloaded
137. A. Barra et al., Counting chimes with examples (coupled to 146)
136. A. Barra et al., GG & FDT-violation in 1RSB
135. A. Barra et al., Heavy tailed spin glasses and Guerra's interpolation
134. A. Barra et al., The emergence of a concept as a percolation in the dataset size M (ML & Graph Theory)
133. A. Barra et al., On the duality "Statistica Mech" vs "Analytical Mech": include the Legendre transforms for (F,S) and (L,H)
132. A. Barra et al. Self-organized criticality: d_S = d_E (as self-const in CW)
131. A. Barra et al, Scaling of Rosenblatt's perceptron theorem in infinite networks
130. A. Barra, il lim TD di Hopfield post GenoveseSollichTantari e Fekete2D
129. A. Barra, making inference with dot-S rather than max-S
128. A. Barra, Kalmann Filtering Theory
127. A. Barra, et al., the Hopfield model at medium storage: against the "low and/or high load" perspective.
126. A Barra et al., Learning in Immunology: hierarchical cytokines, high-dose tolerance and anergy trought threshold' shifts
125. A. Barra et al., The traveling salesman with examples
124. E. Agliari, A. Barra, The biological Ghirlanda-Guerra identities
123. A. Barra, L. Dello Schiavo, Looking at theoretical physics with formal logic glasses
122. A. Barra, Interpolation methods for Hopfield CAM (as H= \sum_mu^retrieved m_mu^2 + (1-q_{non-retrieved})^2)
xyz. A. Barra et chi vuole: fare BAM/TAM (hetero-associative neural nets) per cinetica di reazione con coefficiente di Hill positivo. Qui i patterns sono, per esempio in un contesto immunitaro, epitopi a cui legarsi e la rete e' un anticorpo che si lega a piu' epitopi in simultanea, con coefficiente di Hill positivo, cioe' il fatto che si lega ad uno dei tre aumenta la probabilita' che anche gli altri due layers riconoscano i loro rispettivi patterns, che nel linguaggio degli enzimi è allosteria. Nota: nel linguaggio della cinetica di reazione serve come input la concentrazione di cio' che i layers vedono (concentrazione del substrato) e nel linguaggio nostro questa e' banalmente M, cioe' il numero di esempi (cioe' il numero di molecole di quel tipo).