Fetching the paper…
Reading the bibliography…
We consider the problem of detecting a deformation from a symmetric Gaussian random $p$-tensor $(p\geq 3)$ with a rank-one spike sampled from the Rademacher prior.
Convex analysis
R. T. Rockafellar · 1970
Earlier work this paper cites.
Some rigorous results on the Sherrington-Kirkpatrick spin glass model
M. Aizenman, J. L. Lebowitz, and D. Ruelle · 1987
Earlier work this paper cites.
Spin glass theory and beyond
M. Mézard, G. Parisi, and M. A. Virasoro · 1987
Earlier work this paper cites.
Fluctuations of the free energy in the REM and the p p -spin SK models
A. Bovier, I. Kurkova, and M. Löwe · 2002
Earlier work this paper cites.
The p p -spin interaction model with external field
X. Bardina, D. Márquez-Carreras, C. Rovira, and S. Tindel · 2004
Earlier work this paper cites.
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
J. Baik, G. Ben Arous, and S. Péché · 2005
Earlier work this paper cites.
The largest eigenvalue of small rank perturbations of Hermitian random matrices
S. Péché · 2006
Earlier work this paper cites.
The Parisi formula
M. Talagrand · 2006
Earlier work this paper cites.
The largest eigenvalues of finite rank deformation of large Wigner matrices: convergence and nonuniversality of the fluctuations
M. Capitaine, C. Donati-Martin, and D. Féral · 2009
Earlier work this paper cites.
Message-passing algorithms for compressed sensing
D. L. Donnoho, A. Maleki, and A. Montanari · 2009
Earlier work this paper cites.
Exact solution of the gauge symmetric p p -spin glass model on a complete graph
S. B. Korada and N. Macris · 2009
Earlier work this paper cites.
Message-passing algorithms for compressed sensing: I. motivation and construction
D. L. Donnoho, A. Maleki, and A. Montanari · 2010
Earlier work this paper cites.
The dynamics of message passing on dense graphs, with applications to compressed sensing
M. Bayati and A. Montanari · 2011
Earlier work this paper cites.
The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
F. Benaych-Georges and R. R. Nadakuditi · 2011
Earlier work this paper cites.
Mean field models for spin glasses. Volume I
M. Talagrand · 2011
Earlier work this paper cites.
Mean field models for spin glasses. Volume II
M. Talagrand · 2011
Earlier work this paper cites.
State evolution for general approximate message passing algorithms, with applications to spatial coupling
A. Javanmard and A. Montanari · 2013
Earlier work this paper cites.
Asymptotic power of sphericity tests for high-dimensional data
A. Onatski, M. J. Moreira, and M. Hallin · 2013
Cited alongside, same era.
The Parisi ultrametricity conjecture
D. Panchenko · 2013
Cited alongside, same era.
The Sherrington-Kirkpatrick model
D. Panchenko · 2013
Cited alongside, same era.
Chaos in the mixed even-spin models
W.-K. Chen · 2014
Cited alongside, same era.
On the mixed even-spin Sherrington-Kirkpatrick model with ferromagnetic interaction
Wei-Kuo Chen · 2014
Cited alongside, same era.
Information-theoretically optimal sparse pca
Y. Deshpande and A. Montanari · 2014
Cited alongside, same era.
A statistical model for tensor pca
Non-negative principal component analysis: message passing algorithms and sharp asymptotics
A. Montanari and E. Richard · 2016
Later among the works it cites.
Optimality and sub-optimality of PCA
A. Perry, A. S. Wein, A. Bandeira, and A. Moitra · 2016
Later among the works it cites.
The replica-symmetric prediction for compressed sensing with gaussian matrices is exact
G. Reeves and H. D. Pfister · 2016
Later among the works it cites.
On concentration properties of disordered hamiltonians
A. Auffinger and W.-K. Chen · 2017
Closest in time.
Phase transitions, optimal errors and optimality of message-passing in generalized linear models
J. Barbier, F. Krzakala, N. Macris, L. Miolane, and L. Zdeborová · 2017
Closest in time.
The stochastic interpolation method: A simple scheme to prove replica formulas in bayesian inference
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A. Montanari and E. Richard · 2014
Cited alongside, same era.
The Parisi formula for mixed p p -spin models
D. Panchenko · 2014
Cited alongside, same era.
The Parisi formula has a unique minimizer
A. Auffinger and W.-K. Chen · 2015
Cited alongside, same era.
Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound
W.-K. Chen · 2015
Cited alongside, same era.
The free energy in a multi-species Sherrington-Kirkpatrick model
D. Panchenko · 2015
Cited alongside, same era.
Free energy in the mixed p-spin models with vector spins
D. Panchenko · 2015
Cited alongside, same era.
J. Barbier and N. Macris · 2017
Closest in time.
Mutual information and optimality of approximate message-passing in random linear estimation
J. Barbier, N. Macris, M. Dia, and F. Krzakala · 2017
Closest in time.
The layered structure of tensor estimation and its mutual information
J. Barbier, N. Macris, and L. Miolane · 2017
Closest in time.
The landscape of the spiked tensor model
G. Ben Arous, S. Mei, A. Montanari, and M. Nica · 2017
Closest in time.
Asymptotic mutual information for the balanced binary stochastic block model
Y. Deshpande, E. Abbe, and A. Montanari · 2017
Closest in time.
Finite-size corrections and likelihood ratio fluctuations in the spiked wigner model
A. El Alaoui, F. Krzakala, and M. I. Jordan · 2017
Closest in time.
Statistical and computational phase transitions in spiked tensor estimation
T. Lesieur, L. Miolane, M. Lelarge, F. Krzakala, and L. Zdeborová · 2017
Closest in time.
Fundamental limits of symmetric low-rank matrix estimation
Lelarge. M. and L. Miolane · 2017
Closest in time.
Fundamental limits of symmetric low-rank matrix estimation: the non-symmetric case
L. Miolane · 2017
Closest in time.
On the limitation of spectral methods: from the Gaussian hidden clique problem to rank one perturbations of Gaussian tensors
A. Montanari, D. Reichman, and O. Zeitouni · 2017
Closest in time.
Statistical limits of spiked tensor models
A. Perry, A. S. Wein, and A. Bandeira · 2017
Closest in time.