Adriano Barra
Last Update  18/05/2022
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Published papers

132. A. Alessandrelli, A. Bara, A. Ladiana, A. Lepre, F. Ricci-Tersenghi, 
Superviised and unsupervised protocols for heteroassociative neural networks"   
Submitted to Physica A arxiv (2025). 

131
. L. Albanese, A. Barra, E.N.M. Cirillo, 
Guerra interpolation for "inverse freezing"   
Submitted to J. Math. Phys.  arxiv (2025). 

130. E. Agliari, A. Barra,  
Cogito ergo \sum: il ruolo della Meccanica Statistica nelle reti neurali (divulgative paper) 
Asimmetrie, I.N.F.N.  (contributo divulgativo su invito) to appear  (2025)

129. E. Agliari, A. Barra,  
L'Intelligenza Artificiale nell'Ultimo Secolo     (divulgative paper) 
Nuova Lettera Matematica (contributo divulgativo su invito) link  (2025)

128.A. Alessandrelli, A. Barra, A. Ladiana, A. Lepre, F. Ricci-Tersenghi, 
Beyond disorder: unveiling cooperativeness in multidirectional associative memories   
ICLR 2025 proceedings  arxiv (2025). 

127. E. Agliari, A. Alessandrelli, A. Barra, M.S. Centonze, F. Ricci-Tersenghi, 
Networks of neural networks: the more is different   
submitted to Neural Networks  arxiv (2025). 

126. E. Agliari, A. Alessandrelli, A. Barra, M.S. Centonze, F. Ricci-Tersenghi, 
Generalized hetero-associative neural networks   
J. Stat. Mech.  013302 arxiv  webpage (2025). 

125. 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). 

124. M. S. Centonze, A. Treves, E. Agliari, A. Barra, 
Guerra interpolation for place cells   
J. Stat. Phys. 192, 67, arxiv  webpage (2025). 

123. 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). 

122
. L. Albanese, A. Barra, P. Bianco, F. Durante, D. Pallara, 
Hebbian Learning from first principles, 
J. Math. Phys. 65, 113302 arxiv webpage (2024). 

121. M. Aquaro, F. Alemanno, I. Kanter, F. Durante,  A. Barra, E. Agliari, 
Hebbian Dreaming for small datasets, 
Neural Networks 173, 106174, webpage SSRN (2024). 

120. 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). 

119
. E. Agliari, A. Alessandrelli, A. Barra, F. Ricci-Tersenghi,  
Parallel learning in multitasking neural networks, 
Journal of Statistical Mechanics  113402  arxiv webpage (2023).

118. M. S. Centonze, I. Kanter,  A. Barra,  
Statistical mechanics of learning via reverberation in bidirectional associative memories, 
Physica A  129512, arxiv  webpage (2023). 

117
. 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). 

116. L. Albanese, A. Alessandrelli, A. Annibale, A. Barra,  
On the Almeida-Thouless line in neural networks, 
Physica A  663, 129372,  arxiv webpage (2024). 

115. 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.) 


114. 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).

113. 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). 

112. A. Barra, G. Catania, A. Decelle, B. Seoane, 
Thermodynamics of bidirectional associative memories 
J. Phys. A: Math. & Theor.  arxiv webpage 56, 205005, (2023). 

111. 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). 

110. F. Alemanno,  M. Aquaro, I. Kanter,  A. Barra, E. Agliari, 
Supervised Hebbian learning
Europhys. Lett. (Perspective)   141, 11001 arxiv webpage (2022).  

109
. 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)


108. 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). 

107. 
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). 

106. 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).

105. L. Albanese, F. Alemanno, A. Alessandrelli, A. Barra,  
Replica symmetry breaking in dense neural networks, 
Journal of Statistical Physics arxiv webpage 189, 24 (2022).  

104. 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).

103. 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). 

102. E. Agliari, A. Barra, 
La meccanica statistica dei sistemi complessi     (divulgative paper)
Ithaca: viaggio nella scienza.  16,  209-221 link2paper (2020)​ 

101. E. Agliari, A. Barra, 
L'elaborazione d'informazione nelle reti neurali   (divulgative paper)
Ithaca: viaggio nella scienza.  16,  25-38 link2paper (2020)​

100. E. Agliari, A. Barra, 
Le reti del sistema immunitario da una prospettiva di meccanica statistica    (divulgative paper)
Scienza & Ricerca 34, 59-66  link2paper (2017)​ [Added later on]

99. E. Agliari, A. Barra, 
Elementi di processazione d'informazione nei sistemi biologici ed artificiali   (divulgative paper)
Scienza & Ricerca 50, 21-43  link2paper (2017) [Added later on]​

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  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 Scientica 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
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Works submitted and/or in progress

​WORKS IN FIERI
164. A. Barra, et al. TAM & cryptographic keys via entanglement and disentanglement
163. A. Barra, et al. da Wasserstein a Guerra via RSB-steps
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)
121. A. Barra, 2RSB P(q) ultrametrica by construction

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).
 

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