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This document presents the material of two lectures on statistical physics and neural representations, delivered by one of us (R.M.) at the Fundamental Problems in Statistical Physics XIV summer school in July 2017.
John Wiley & Sons, 1949
D. O. Hebb, The organization of behavior; a neuropsychological theory · 1949
Earlier work this paper cites.
E. T. Jaynes, “Information theory and statistical mechanics,” Physical review
1957
Earlier work this paper cites.
J. L. Lebowitz and O. Penrose, “Rigorous treatment of the van der waals-maxwell theory of the liquid-vapor transition,” Journal of Mathematical Physics
1966
Earlier work this paper cites.
V. A. Mar 𝐜 \mathbf{c} enko and L. A. Pastur, “Distribution of eigenvalues for some sets of random matrices,” Mathematics of the USSR-Sbornik
1967
Earlier work this paper cites.
J. Langer, “Statistical theory of the decay of metastable states,” Annals of Physics
1969
Earlier work this paper cites.
J. O’Keefe and J. Dostrovsky, “The hippocampus as a spatial map. preliminary evidence from unit activity in the freely-moving rat.,” Brain Res
1971
Earlier work this paper cites.
J. O’Keefe and J. Dostrovsky, “The hippocampus as a spatial map. preliminary evidence from unit activity in the freely-moving rat,” Brain research
1971
Earlier work this paper cites.
S. F. Edwards and P. W. Anderson, “Theory of spin glasses,” Journal of Physics F: Metal Physics
1975
Earlier work this paper cites.
J. R. L. De Almeida and D. J. Thouless, “Stability of the sherrington-kirkpatrick solution of a spin glass model,” Journal of Physics A: Mathematical and General
1978
Earlier work this paper cites.
J. O’keefe and D. Conway, “Hippocampal place units in the freely moving rat: why they fire where they fire,” Experimental Brain Research
1978
Earlier work this paper cites.
J. J. Hopfield, “Neural networks and physical systems with emergent collective computational abilities,” Proceedings of the National Academy of Sciences
1982
Earlier work this paper cites.
S. Kirkpatrick, C. J. Gelatt, and M. Vecchi, “Optimization by simulated annealing,” Science
1983
Earlier work this paper cites.
B. L. McNaughton, J. O’Keefe, and C. A. Barnes, “The stereotrode: a new technique for simultaneous isolation of several single units in the central nervous system from multiple unit records,” Journal of neuroscience methods
1983
Earlier work this paper cites.
D. J. Amit, H. Gutfreund, and H. Sompolinsky, “Storing infinite numbers of patterns in a spin-glass model of neural networks,” Physical Review Letters
1985
Earlier work this paper cites.
D. H. Ackley, G. E. Hinton, and T. J. Sejnowski, “A learning algorithm for boltzmann machines,” Cognitive science
1985
Earlier work this paper cites.
P. Smolensky, “Information processing in dynamical systems: Foundations of harmony theory,” in Parallel Distributed Processing: Explorations in the Microstructure of Cognition, Vol. 1: Foundations, MIT Press
1986
Earlier work this paper cites.
D. J. Amit, H. Gutfreund, and H. Sompolinsky, “Statistical mechanics of neural networks near saturation,” Annals of Physics
1987
Earlier work this paper cites.
World Scientific, 1987
M. Mézard, G. Parisi, and M. A. Virasoro, Spin glass theory and beyond · 1987
Earlier work this paper cites.
World Scientific Publishing Co Inc, 1987
M. Mézard, G. Parisi, and M. Virasoro, Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications · 1987
Earlier work this paper cites.
Cambridge University Press, Cambridge, 1989
D. J. Amit, Modeling brain function. The world of attractor neural networks · 1989
Earlier work this paper cites.
M. A. Turk and A. P. Pentland, “Face recognition using eigenfaces,” in Computer Vision and Pattern Recognition, 1991. Proceedings CVPR’91., IEEE Computer Society Conference on
1991
Earlier work this paper cites.
A. Treves and E. T. Rolls, “Computational analysis of the role of the hippocampus in memory,” Hippocampus
1994
Earlier work this paper cites.
M. Meister, J. Pine, and D. A. Baylor, “Multi-neuronal signals from the retina: acquisition and analysis,” Journal of neuroscience methods
1994
Earlier work this paper cites.
T. Watkin and J.-P. Nadal, “Optimal unsupervised learning,” Journal of Physics A: Mathematical and General
1994
Earlier work this paper cites.
M. Tsodyks and T. Sejnowski, “Associative memory and hippocampal place cells,” International journal of neural systems
1995
Earlier work this paper cites.
B. A. Olshausen and D. J. Field, “Emergence of simple-cell receptive field properties by learning a sparse code for natural images,” Nature
1996
Earlier work this paper cites.
The MIT press, Cambridge, USA, 1997
F. Rieke, D. Warland, R. De Ruyter van Steveninck, and W. Bialek, Spikes: Exploring the neural code · 1997
Earlier work this paper cites.
A. Samsonovich and B. L. McNaughton, “Path integration and cognitive mapping in a continuous attractor neural network model,” The Journal of Neuroscience
1997
Earlier work this paper cites.
F. P. Battaglia and A. Treves, “Attractor neural networks storing multiple space representations: a model for hippocampal place fields,” Physical Review E
1998
Earlier work this paper cites.
Cambridge university press, 1998
R. Durbin, S. R. Eddy, A. Krogh, and G. Mitchison, Biological sequence analysis: probabilistic models of proteins and nucleic acids · 1998
Earlier work this paper cites.
M. Tsodyks, “Attractor neural network models of spatial maps in hippocampus,” Hippocampus
1999
Cited alongside, same era.
Theory and Practice, MIT Press, Feb. 2001
M. Opper and D. Saad, Advanced Mean Field Methods · 2001
Cited alongside, same era.
D. L. Ringach, R. M. Shapley, and M. J. Hawken, “Orientation selectivity in macaque v1: diversity and laminar dependence,” Journal of Neuroscience
2002
Cited alongside, same era.
Cambridge university press, 2003
D. J. MacKay, Information theory, inference and learning algorithms · 2003
Cited alongside, same era.
John Wiley & Sons, 2004
A. Hyvärinen, J. Karhunen, and E. Oja, Independent component analysis · 2004
Cited alongside, same era.
D. Hoyle and M. Rattray, “Principal-component-analysis eigenvalue spectra from data with symmetry breaking structure,” Physical Review E
A. Barra, A. Bernacchia, E. Santucci, and P. Contucci, “On the equivalence of hopfield networks and boltzmann machines,” Neural Networks
2012
Later among the works it cites.
E. Agliari, A. Barra, A. Galluzzi, F. Guerra, and F. Moauro, “Multitasking associative networks,” Physical review letters
2012
Later among the works it cites.
Y. Bengio, A. Courville, and P. Vincent, “Representation learning: A review and new perspectives,” IEEE Transactions on Pattern Analysis and Machine Intelligence
2013
Later among the works it cites.
R. Monasson and S. Rosay, “Crosstalk and transitions between multiple spatial maps in an attractor neural network model of the hippocampus: Phase diagram,” Phys. Rev. E
2013
Later among the works it cites.
D. De Juan, F. Pazos, and A. Valencia, “Emerging methods in protein co-evolution,” Nature Reviews Genetics
2013
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2004
Cited alongside, same era.
J. Baik, G. B. Arous, S. Péché, et al
2005
Cited alongside, same era.
L. Badea, D. Tilivea, L. Badea, and D. Tilivea, “Sparse factorizations of gene expression data guided by binding data,” in Pacific Symposium of Biocomputing
2005
Cited alongside, same era.
D. M. Smith and S. J. Mizumori, “Hippocampal place cells, context, and episodic memory,” Hippocampus
2006
Cited alongside, same era.
E. Schneidman, M. J. Berry, R. Segev, and W. Bialek, “Weak pairwise correlations imply strongly correlated network states in a neural population,” Nature
2006
Cited alongside, same era.
S. MuellerStein, A. Loccisano, S. Firestine, and J. Evanseck, “Principal components analysis: A review of its application on molecular dynamics data,” Annual Reports in Computational Chemistry
2006
Cited alongside, same era.
M. Fyhn, T. Hafting, A. Treves, M.-B. Moser, and E. I. Moser, “Hippocampal remapping and grid realignment in entorhinal cortex,” Nature
2007
Cited alongside, same era.
Later among the works it cites.
R. Monasson and S. Rosay, “Crosstalk and transitions between multiple spatial maps in an attractor neural network model of the hippocampus: Phase diagram,” Physical Review E
2013
Later among the works it cites.
S. Cocco, R. Monasson, and M. Weigt, “From principal component to direct coupling analysis of coevolution in proteins: Low-eigenvalue modes are needed for structure prediction,” PLoS computational biology
2013
Later among the works it cites.
2013
Later among the works it cites.
H. Sompolinsky, “Computational neuroscience: beyond the local circuit,” Current opinion in neurobiology
2014
Later among the works it cites.
S. Rosay, “A statistical mechanics approach to the modelling and analysis of place-cell activity,” PhD thesis
2014
Later among the works it cites.
R. Monasson and S. Rosay, “Crosstalk and transitions between multiple spatial maps in an attractor neural network model of the hippocampus: Collective motion of the activity,” Physical review. E, Statistical, nonlinear, and soft matter physics
2014
Later among the works it cites.
R. Monasson and S. Rosay, “Crosstalk and transitions between multiple spatial maps in an attractor neural network model of the hippocampus: Collective motion of the activity,” Physical Review E
2014
Later among the works it cites.
A. Fischer and C. Igel, “Training restricted boltzmann machines: An introduction,” Pattern Recognition
2014
Later among the works it cites.
Y. LeCun, Y. Bengio, and G. Hinton, “Deep learning,” Nature
2015
Later among the works it cites.
R. Monasson and S. Rosay, “Transitions between spatial attractors in place-cell models,” Physical review letters
2015
Later among the works it cites.
R. Monasson and D. Villamaina, “Estimating the principal components of correlation matrices from all their empirical eigenvectors,” EPL (Europhysics Letters)
2015
Later among the works it cites.
P. Coveney, E. Dougherty, and R. Highfield, “Big data need big theory too,” Phil. Trans. R. Soc. A
2016
Later among the works it cites.
MIT Press, Cambridge, 2016
T. Poggio and F. Anselmi, Visual cortex and deep networks: learning invariant representations · 2016
Later among the works it cites.
G. Tavoni, S. Cocco, and R. Monasson, “Neural assemblies revealed by inferred connectivity-based models of prefrontal cortex recordings,” Journal of Computational Neuroscience
2016
Later among the works it cites.
R. D. Finn, P. Coggill, R. Y. Eberhardt, S. R. Eddy, J. Mistry, A. L. Mitchell, S. C. Potter, M. Punta, M. Qureshi, A. Sangrador-Vegas, et al
2016
Later among the works it cites.
S. Mallat, “Understanding deep convolutional networks,” Phil. Trans. R. Soc. A
2016
Later among the works it cites.
Y. LeCun, “L’apprentissage profond.” Lectures at Collège de France, 2016
2016
Later among the works it cites.
E. Richard and A. Montanari, “Non-negative principal component analysis: Message passing algorithms and sharp asymptotics,” IEEE Transactions on Information Theory
2016
Later among the works it cites.
R. Monasson, “Inference of principal components of noisy correlation matrices with prior information,” in Signals, Systems and Computers, 2016 50th Asilomar Conference on
2016
Later among the works it cites.
S. Cocco, R. Monasson, L. Posani, and G. Tavoni, “Functional networks from inverse modeling of neural population activity,” Current Opinion in Systems Biology
2017
Closest in time.
L. Posani, S. Cocco, K. Je 𝐳 \mathbf{z} ek, and R. Monasson, “Functional connectivity models for decoding of spatial representations from hippocampal ca1 recordings,” Journal of Computational Neuroscience
2017
Closest in time.
G. Tavoni, U. Ferrari, F. P. Battaglia, S. Cocco, and R. Monasson, “Functional coupling networks inferred from prefrontal cortex activity show experience-related effective plasticity,” Network Neuroscience
2017
Closest in time.
L. Posani, S. Cocco, K. Je 𝐳 \mathbf{z} ek, and R. Monasson, “Position is coherently represented during flickering instabilities of hippocampal network,” Preprint
2017
Closest in time.
J. Tubiana and R. Monasson, “Emergence of compositional representations in restricted boltzmann machines,” Physical Review Letters
2017
Closest in time.