Research graph
References from A Friendly Tutorial on Mean-Field Spin Glass Techniques for Non-Physicists. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2007 · External reference
Extended variational principle for the Sherrington-Kirkpatrick spin-glass model
10.1103/physrevb.68.214403 · 2003 · External reference
Spin glass I: A scaling law rescued
10.1063/1.2811268 · 1988 · External reference
Spin glass VII: Spin glass as a paradigm
10.1063/1.2810479 · 1990 · External reference
Unresolved reference
2005 · External reference
Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy
10.1007/s004400050119 · 1997 · External reference
Random matrices and complexity of spin glasses
10.1002/cpa.21422 · 2013 · External reference
On properties of Parisi measures
10.1007/s00440-014-0563-y · 2015 · External reference
The Parisi formula has a unique minimizer
10.1007/s00220-014-2254-z · 2015 · External reference
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
10.1214/009117905000000233 · 2005 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2018 · External reference
The adaptive interpolation method: A simple scheme to prove replica formulas in Bayesian inference
10.1007/s00440-018-0879-0 · 2019 · External reference
Multispecies mean field spin glasses. Rigorous results
10.1007/s00023-014-0341-5 · 2015 · External reference
10.1214/22-ejp780
10.1214/22-ejp780 · 2021 · External reference
The dynamics of message passing on dense graphs, with applications to compressed sensing
10.1109/tit.2010.2094817 · 2011 · External reference
The LASSO risk for Gaussian matrices
10.1109/tit.2011.2174612 · 2012 · External reference
State evolution for approximate message passing with non-separable functions
10.1093/imaiai/iay021 · 2020 · External reference
An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model
10.1007/s00220-013-1862-3 · 2014 · External reference
10.1093/acprof:oso/9780199535255.001.0001
10.1093/acprof:oso/9780199535255.001.0001 · 2013 · External reference
Universality in Sherrington-Kirkpatrick’s spin glass model
10.1016/j.anihpb.2005.04.001 · 2006 · External reference
Unresolved reference
2020 · External reference
10.34847/nkl.a941vym8
10.34847/nkl.a941vym8 · 2021 · External reference
Unresolved reference
2005 · External reference
The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models
10.1214/ejp.v18-2580 · 2013 · External reference
Phase transition in the spiked random tensor with Rademacher prior
10.1214/18-aos1763 · 2019 · External reference
Universality of approximate message passing algorithms
10.1214/21-ejp604 · 2021 · External reference
Unresolved reference
1991 · External reference
The spherical p-spin interaction spin-glass model
10.1007/bf01312184 · 1993 · External reference
Analysis of the ∞-replica symmetry breaking solution of the Sherrington-Kirkpatrick model
10.1103/physreve.65.046137 · 2002 · External reference
The spherical p-spin interaction spin glass model: The statics
10.1007/bf01309287 · 1992 · External reference
Thouless-Anderson-Palmer approach to the spherical p-spin spin glass model
10.1051/jp1:1995164 · 1995 · External reference
10.1007/978-1-4757-2001-3_7
10.1007/978-1-4757-2001-3_7 · 1998 · External reference
Internal field distribution in the infinite-range Ising spin glass
10.1088/0022-3719/16/5/020 · 1983 · External reference
Extremal cuts of sparse random graphs
10.1214/15-aop1084 · 2017 · External reference
Asymptotic mutual information for the balanced binary stochastic block model
10.1093/imaiai/iaw017 · 2016 · External reference
Asymptotic mutual information for the balanced binary stochastic block model
10.1093/imaiai/iaw017 · 2017 · External reference
10.1073/pnas.0909892106
10.1073/pnas.0909892106 · 2009 · External reference
High dimensional robust m- estimation: Asymptotic variance via approximate message passing
10.1007/s00440-015-0675-z · 2016 · External reference
Theory of spin glasses
10.1088/0305-4608/5/5/017 · 1975 · External reference
10.1109/isit.2018.8437810
10.1109/isit.2018.8437810 · 2018 · External reference
Fundamental limits of detection in the spiked wigner model
10.1214/19-aos1826 · 2020 · External reference
Approximate message passing algorithms for rotationally invariant matrices
10.1214/21-aos2101 · 2022 · External reference
Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten
10.1007/bf01504345 · 1923 · External reference
10.1561/2200000092 · 2022 · Admitted local publication
Low-density parity-check codes
10.1109/tit.1962.1057683 · 1962 · External reference
p > 2 spin glasses with first-order ferromagnetic transitions
10.1088/0305-4470/33/16/302 · 2000 · External reference
Broken replica symmetry bounds in the mean field spin glass model
10.1007/s00220-002-0773-5 · 2003 · External reference
The thermodynamic limit in mean field spin glass models
10.1007/s00220-002-0699-y · 2002 · External reference
PCA learning for sparse highdimensional data
10.1209/epl/i2003-00370-1 · 2003 · External reference
Principal-component-analysis eigenvalue spectra from data with symmetry-breaking structure
10.1103/physreve.69.026124 · 2004 · External reference
A spectral algorithm for learning hidden Markov models
10.1016/j.jcss.2011.12.025 · 2012 · External reference
On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model
10.4171/aihpd/97 · 2020 · External reference
10.1090/proc/12968
10.1090/proc/12968 · 2016 · External reference
State evolution for general approximate message passing algorithms, with applications to spatial coupling
10.1093/imaiai/iat004 · 2013 · External reference
10.1073/pnas.1523097113
10.1073/pnas.1523097113 · 2016 · External reference
Exact solution of the gauge symmetric p-spin glass model on a complete graph
10.1007/s10955-009-9781-6 · 2009 · External reference
Spherical model of a spin-glass
10.1103/physrevlett.36.1217 · 1976 · External reference
Tensor completion based on nuclear norm minimization for 5D seismic data reconstruction
10.1190/geo2013-0022.1 · 2013 · External reference
Unresolved reference
2006 · External reference
Fundamental limits of symmetric low-rank matrix estimation
10.1007/s00440-018-0845-x · 2019 · External reference
10.1109/isit.2017.8006580
10.1109/isit.2017.8006580 · 2017 · External reference
10.1109/icip.2010.5651225
10.1109/icip.2010.5651225 · 2010 · External reference
Random invariant measures for Markov chains, and independent particle systems
10.1007/bf00537539 · 1978 · External reference
Tensor completion for estimating missing values in visual data
10.1109/tpami.2012.39 · 2013 · External reference
10.1093/acprof:oso/9780198570837.001.0001
10.1093/acprof:oso/9780198570837.001.0001 · 2009 · External reference
Sk model: The replica solution without replicas
10.1209/0295-5075/1/2/006 · 1986 · External reference
10.1142/0271
10.1142/0271 · 1987 · External reference
On the limitation of spectral methods: From the Gaussian hidden clique problem to rank one perturbations of Gaussian tensors
10.1109/tit.2016.2637959 · 2016 · External reference
Unresolved reference
2014 · External reference
Estimation of low-rank matrices via approximate message passing
10.1214/20-aos1958 · 2021 · External reference
Applications of tensor (multiway array) factorizations and decompositions in data mining
10.1002/widm.1 · 2011 · External reference
A survey of structure from motion
10.1017/s096249291700006x · 2017 · External reference
10.1007/978-1-4614-6289-7
10.1007/978-1-4614-6289-7 · 2013 · External reference
The Parisi formula for mixed p-spin models
10.1214/12-aop800 · 2014 · External reference
The free energy in a multi-species Sherrington- Kirkpatrick model
10.1214/14-aop967 · 2015 · External reference
Free energy in the mixed p-spin models with vector spins
10.1214/17-aop1194 · 2018 · External reference
Free energy in the Potts spin glass
10.1214/17-aop1193 · 2018 · External reference
On the K-sat model with large number of clauses
10.1002/rsa.20748 · 2018 · External reference
Optimization, approximation, and complexity classes
10.1016/0022-0000(91)90023-x · 1991 · External reference
Infinite number of order parameters for spin-glasses
10.1103/physrevlett.43.1754 · 1979 · External reference
Toward a mean field theory for spin glasses
10.1016/0375-9601(79)90708-4 · 1979 · External reference
Statistical limits of spiked tensor models
10.1214/19-aihp960 · 2020 · External reference
10.1109/isit.2011.6033942
10.1109/isit.2011.6033942 · 2011 · External reference
Vector approximate message passing
10.1109/tit.2019.2916359 · 2019 · External reference
10.1017/cbo9780511791338
10.1017/cbo9780511791338 · 2008 · External reference
Characterization of invariant measures at the leading edge for competing particle systems
10.1214/009117904000000865 · 2005 · External reference
Unresolved reference
External reference
Optimization on sparse random hypergraphs and spin glasses
10.1002/rsa.20774 · 2018 · External reference
Solvable model of a spinglass
10.1103/physrevlett.35.1792 · 1975 · External reference
Tensor versus matrix completion: A comparison with application to spectral data
10.1109/lsp.2011.2151856 · 2011 · External reference
The complexity of spherical p-spin models? A second moment approach
10.1214/16-aop1139 · 2017 · External reference
10.1073/pnas.1810420116
10.1073/pnas.1810420116 · 2019 · External reference
Free energy of the spherical mean field model
10.1007/s00440-005-0433-8 · 2006 · External reference
The Parisi formula
10.4007/annals.2006.163.221 · 2006 · External reference
10.1007/978-3-642-15202-3
10.1007/978-3-642-15202-3 · 2010 · External reference
10.1007/978-3-642-22253-5
10.1007/978-3-642-22253-5 · 2011 · External reference
10.1017/cbo9780511794308.006
10.1017/cbo9780511794308.006 · 2012 · External reference
10.1561/2200000001 · 2008 · Admitted local publication
A conjecture on the maximum cut and bisection width in random regular graphs
10.1088/1742-5468/2010/02/p02020 · 2010 · External reference
