Modeling the Influence of Data Structure on Learning in Neural Networks: The Hidden Manifold Model

Sebastian Goldt , Marc Mézard , Florent Krzakala , Lenka Zdeborová
Physical Review X 10 ( 4) 041044

104
2020
Learning algorithms in neural networks: recent results

Marc Mézard
NATO Neurocomputing 75 -79

1990
Correlation-based decimation in constraint satisfaction problems

Saburo Higuchi , Marc Mézard
Journal of Physics: Conference Series 233 ( 1) 012003

4
2010
The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium

Silvio Franz , Marc Mézard , Giorgio Parisi , Luca Peliti
Journal of Statistical Physics 97 ( 3) 459 -488

120
1999
Low-temperature phase of the Ising spin glass on a hypercubic lattice.

Antoine Georges , Marc Mézard , Jonathan S. Yedidia
Physical Review Letters 64 ( 24) 2937 -2940

44
1990
Random K -satisfiability problem: From an analytic solution to an efficient algorithm

Marc Mézard , Riccardo Zecchina
Physical Review E 66 ( 5) 056126

545
2002
Velocity fluctuations in forced Burgers turbulence.

Jean-Philippe Bouchaud , Marc Mézard
Physical Review E 54 ( 5) 5116 -5121

55
1996
Satisfiability

Marc Mézard , Andrea Montanari
Information, Physics, and Computation 197 -217

2009
The cavity method at zero temperature

Marc Mézard , Giorgio Parisi
Journal of Statistical Physics 111 ( 1) 1 -34

351
2003
Reconstruction on Trees and Spin Glass Transition

Marc Mézard , Andrea Montanari
Journal of Statistical Physics 124 ( 6) 1317 -1350

169
2006
Glasses and Replicas

Marc Mézard , Giorgio Parisi
Structural Glasses and Supercooled Liquids 151 -191

29
2012
Wigner-Dyson Statistics from the Replica Method

Alex Kamenev , Marc Mézard
Journal of Physics A 32 ( 24) 4373 -4388

77
1999
Proliferation assisted transport in a random environment

Marc Mézard , Irene Giardina , Jean-Philippe Bouchaud
Journal of Physics A: Mathematical and General 34 ( 16) L245 -L252

10
2001
On the glassy nature of random directed polymers in two dimensions

Marc Mézard
Journal De Physique 51 ( 17) 1831 -1846

144
1990
Storage capacity of memory networks with binary couplings

Werner Krauth , Marc Mézard
Journal De Physique 50 ( 20) 3057 -3066

212
1989
The Euclidean matching problem

Marc Mézard , Giorgio Parisi
Journal de Physique 49 ( 12) 2019 -2025

1988
Hierarchical random energy model of a spin glass

Michele Castellana , Aurélien Decelle , Silvio Franz , Marc Mézard
Physical Review Letters 104 ( 12) 127206 -127210

58
2010
Disorder-driven quantum phase transitions in superconductors and magnets.

L. B. Ioffe , Marc Mézard
Physical Review Letters 105 ( 3) 037001 -037001

76
2010
Emergence of Rigidity at the Structural Glass Transition: A First-Principles Computation

Hajime Yoshino , Marc Mézard
Physical Review Letters 105 ( 1) 015504

75
2010