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References from A Unifying Tutorial on Approximate Message Passing. Local targets link to admitted publications; unresolved targets remain external evidence.
High-dimensional dynamics of generalization error in neural networks
10.1016/j.neunet.2020.08.022 · 2020 · External reference
Unresolved reference
2015 · External reference
On the existence of maximum likelihood estimates in logistic regression models
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Unresolved reference
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Finding a large hidden clique in a random graph
10.1002/(sici)1098-2418(199810/12)13:3/4<457::aid-rsa14>3.0.co;2-w · 1998 · External reference
Unresolved reference
2010 · External reference
The spiked matrix model with generative priors
10.1109/tit.2020.3033985 · 2020 · External reference
The committee machine: Computational to statistical gaps in learning a two-layers neural network
2019 · External reference
10.1007/978-1-4419-0661-8
10.1007/978-1-4419-0661-8 · 2010 · External reference
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
10.1214/009117905000000233 · 2005 · External reference
Eigenvalues of large sample covariance matrices of spiked population models
10.1016/j.jmva.2005.08.003 · 2006 · External reference
Unresolved reference
External reference
The Moore-Penrose pseudoinverse: A tutorial review of the theory
10.1007/s13538-011-0052-z · 2012 · External reference
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula
2016 · External reference
Approximate message-passing decoder and capacity achieving sparse superposition codes
10.1109/tit.2017.2713833 · 2017 · External reference
Optimal errors and phase transitions in high-dimensional generalized linear models
10.1073/pnas.1802705116 · 2019 · External reference
Unresolved reference
External reference
Benign overfitting in linear regression
10.1073/pnas.1907378117 · 2020 · External reference
Universality in polytope phase transitions and message passing algorithms
10.1214/14-aap1010 · 2015 · 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
A fast iterative shrinkage-thresholding algorithm for linear inverse problems
10.1137/080716542 · 2009 · External reference
Reconciling modern machine-learning practice and the classical bias-variance trade-off
10.1073/pnas.1903070116 · 2019 · External reference
Two models of double descent for weak features
10.1137/20m1336072 · 2020 · External reference
SLOPE meets LASSO: Improved oracle bounds and optimality
10.1214/17-aos1670 · 2018 · External reference
The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
10.1016/j.aim.2011.02.007 · 2011 · External reference
State evolution for approximate message passing with non-separable functions
2020 · External reference
Latent Dirichlet allocation
2003 · External reference
SLOPE-Adaptive variable selection via convex optimization
10.1214/15-aoas842 · 2015 · 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
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10.1561/2200000016 · 2011 · Admitted local publication
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Algorithmic analysis and statistical estimation of SLOPE via approximate message passing
10.1109/tit.2020.3025272 · 2021 · External reference
10.1007/978-3-642-20192-9
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Memory-free dynamics for the Thouless-Anderson-Palmer equations of Ising models with arbitrary rotation-invariant ensembles of random coupling matrices
10.1103/physreve.99.062140 · 2019 · External reference
Exact matrix completion via convex optimization
10.1007/s10208-009-9045-5 · 2009 · External reference
The phase transition for the existence of the maximum likelihood estimate in high-dimensional logistic regression
10.1214/18-aos1789 · 2020 · External reference
The largest eigenvalues of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations
10.1214/08-aop394 · 2009 · External reference
Fundamental barriers to high-dimensional regression with convex penalties
10.1214/21-aos2100 · 2022 · External reference
The estimation error of general first order methods
2020 · External reference
Universality of approximate message passing algorithms
10.1214/21-ejp604 · 2021 · External reference
Unresolved reference
External reference
Double trouble in double descent: Bias and variance(s) in the lazy regime
2020 · External reference
Unresolved reference
External reference
Asymptotic mutual information for the balanced binary stochastic block model
2016 · External reference
Unresolved reference
2014 · External reference
Finding hidden cliques of size <inl/> in nearly linear time
10.1007/s10208-014-9215-y · 2015 · External reference
Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing
10.1109/tit.2013.2274513 · 2013 · External reference
Minimax risk over lp balls for lq error
10.1007/bf01199026 · 1994 · External reference
Minimax estimation via wavelet shrinkage
10.1214/aos/1024691081 · 1998 · External reference
Message-passing algorithms for compressed sensing
10.1073/pnas.0909892106 · 2009 · External reference
Unresolved reference
External reference
High dimensional robust M-estimation: Asymptotic variance via approximate message passing
10.1007/s00440-015-0675-z · 2016 · External reference
10.1017/cbo9780511755347
10.1017/cbo9780511755347 · 2002 · External reference
Bounding distributional errors via density ratios
10.3150/20-bej1256 · 2021 · External reference
Approximation by log-concave distributions, with applications to regression
10.1214/10-aos853 · 2011 · External reference
Tweedie’s formula and selection bias
10.1198/jasa.2011.tm11181 · 2011 · External reference
Decoding from pooled data: Phase transitions of message passing
10.1109/tit.2018.2855698 · 2018 · External reference
Generalization error of generalized linear models in high dimensions
2020 · External reference
Approximate message passing algorithms for rotation-ally invariant matrices
10.1214/21-aos2101 · 2022 · External reference
10.1007/978-3-642-62010-2
10.1007/978-3-642-62010-2 · 1996 · External reference
The largest eigenvalue of rank one deformation of large Wigner matrices
10.1007/s00220-007-0209-3 · 2007 · External reference
Scalable inference for neuronal connectivity from calcium imaging
2014 · External reference
Unresolved reference
2018 · External reference
10.1007/978-3-030-02185-6
10.1007/978-3-030-02185-6 · 2018 · External reference
Sparse principal component analysis via axis-aligned random projections
10.1111/rssb.12360 · 2020 · External reference
10.1088/1742-5468/ab633c
10.1088/1742-5468/ab633c · External reference
Asymptotic errors for convex penalized linear regression beyond Gaussian matrices
2020 · External reference
Unresolved reference
External reference
A stochastic approach to the gamma function
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Randomly spread CDMA: Asymptotics via statistical physics
10.1109/tit.2005.847700 · 2005 · External reference
10.1214/23-aos2301
10.1214/23-aos2301 · External reference
Surprises in high-dimensional ridgeless least squares interpolation
10.1214/21-aos2133 · 2022 · External reference
Tensor principal component analysis via sum-of-square proofs
2015 · External reference
Complete convergence and the law of large numbers
10.1073/pnas.33.2.25 · 1947 · External reference
Robust estimation of a location parameter
10.1214/aoms/1177703732 · 1964 · External reference
Robust regression: Asymptotics, conjectures and Monte Carlo
10.1214/aos/1176342503 · 1973 · External reference
10.1002/9780470434697
10.1002/9780470434697 · 2009 · External reference
State evolution for general approximate message passing algorithms, with applications to spatial coupling
2013 · External reference
Unresolved reference
2015 · External reference
Unresolved reference
2006 · External reference
On consistency and sparsity for principal components analysis in high dimensions
10.1198/jasa.2009.0121 · 2009 · External reference
PCA in high dimensions: An orientation
10.1109/jproc.2018.2846730 · 2018 · External reference
A modified principal component technique based on the LASSO
10.1198/1061860032148 · 2003 · External reference
Phase transitions and sample complexity in Bayes optimal matrix factorization
10.1109/tit.2016.2556702 · 2016 · External reference
Unresolved reference
2014 · External reference
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1997 · External reference
Unresolved reference
2020 · External reference
The isotropic semicircle law and deformation of Wigner matrices
10.1002/cpa.21450 · 2013 · External reference
Unresolved reference
2009 · External reference
Probabilistic reconstruction in compressed sensing: Algorithms, phase diagrams, and threshold achieving matrices
2012 · External reference
Unresolved reference
External reference
Fundamental limits of symmetric low-rank matrix estimation
10.1007/s00440-018-0845-x · 2019 · External reference
Constrained low-rank matrix estimation: Phase transitions, approximate message passing and applications
2017 · External reference
Unresolved reference
External reference
Just interpolate: Kernel ‘ridgeless’ regression can generalize
10.1214/19-aos1849 · 2020 · External reference
A precise high-dimensional asymptotic theory for boosting and minimum-t1-norm interpolated classifiers
2022 · External reference
Unresolved reference
2021 · External reference
Orthogonal AMP
10.1109/access.2017.2653119 · 2017 · External reference
Optimization-based AMP for phase retrieval: The impact of initialization and 𝓁2 regularization
10.1109/tit.2019.2893254 · 2019 · External reference
Unresolved reference
External reference
Analysis of approximate message passing with non-separable denoisers and Markov random field priors
10.1109/tit.2019.2934152 · 2019 · External reference
Computational barriers in minimax submatrix detection
10.1214/14-aos1300 · 2015 · External reference
Unresolved reference
2017 · External reference
Low-rank matrix reconstruction and clustering via approximate message passing
2013 · External reference
10.1007/978-1-4899-3242-6
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2004 · External reference
The generalization error of random features regression: Precise asymptotics and double descent curve
10.1002/cpa.22008 · 2020 · External reference
Learned D-AMP: Principled neural network based compressive image recovery
2017 · External reference
10.1093/acprof:oso/9780198570837.001.0001
10.1093/acprof:oso/9780198570837.001.0001 · 2009 · External reference
Unresolved reference
1987 · External reference
The distribution of the Lasso: Uniform control over sparse balls and adaptive parameter tuning
10.1214/20-aos2038 · 2021 · External reference
Optimal combination of linear and spectral estimators for generalized linear models
2021 · External reference
Approximate message passing with spectral initialization for generalized linear models
2020 · External reference
Unresolved reference
External reference
10.1017/cbo9780511794308.010
10.1017/cbo9780511794308.010 · 2012 · External reference
A statistical model for tensor PCA
2014 · External reference
Non-negative principal component analysis: Message passing algorithms and sharp asymptotics
10.1109/tit.2015.2457942 · 2016 · External reference
Estimation of low-rank matrices via approximate message passing
10.1214/20-aos1958 · 2021 · External reference
Consistent parameter estimation for LASSO and approximate message passing
10.1214/17-aos1544 · 2018 · External reference
Deep double descent: Where bigger models and more data hurt
2021 · External reference
A theory of solving TAP equations for Ising models with general invariant random matrices
10.1088/1751-8113/49/11/114002 · 2016 · External reference
Expectation consistent approximate inference
2005 · External reference
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Inference with deep generative priors in high dimensions
10.1109/jsait.2020.2986321 · 2020 · External reference
Proximal algorithms
2013 · External reference
Bilinear generalized approximate message passing-Part I: Derivation
10.1109/tsp.2014.2357776 · 2014 · External reference
Bilinear generalized approximate message passing-Part II: Applications
10.1109/tsp.2014.2357773 · 2014 · External reference
Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
2007 · External reference
Unresolved reference
External reference
Optimality and sub-optimality of PCA I: Spiked random matrix models
10.1214/17-aos1625 · 2018 · External reference
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10.1214/aos/1176346793 · 1984 · External reference
Asymptotic behavior of M-estimators of p regression parameters when p2/n is large; II. Normal approximation
10.1214/aos/1176349744 · 1985 · External reference
Asymptotic behavior of likelihood methods for exponential families when the number of parameters tends to infinity
10.1214/aos/1176350710 · 1988 · External reference
Unresolved reference
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2011 · External reference
Unresolved reference
2012 · External reference
Iterative reconstruction of rank-one matrices in noise
2018 · External reference
Asymptotic analysis of MAP estimation via the replica method and applications to compressed sensing
2009 · External reference
Vector approximate message passing
10.1109/tit.2019.2916359 · 2019 · External reference
On the convergence of approximate message passing with arbitrary matrices
10.1109/tit.2019.2913109 · 2019 · External reference
Fixed points of generalized approximate message passing with arbitrary matrices
10.1109/tit.2016.2619365 · 2016 · External reference
The replica-symmetric prediction for random linear estimation with Gaussian matrices is exact
10.1109/tit.2019.2891664 · 2019 · External reference
Unresolved reference
1956 · External reference
Unresolved reference
1997 · External reference
Capacity-achieving sparse superposition codes via approximate message passing decoding
10.1109/tit.2017.2649460 · 2017 · External reference
Finite sample analysis of approximate message passing algorithms
10.1109/tit.2018.2816681 · 2018 · External reference
A message-passing receiver for BICM-OFDM over unknown clustered-sparse channels
10.1109/jstsp.2011.2169232 · 2011 · External reference
A simple derivation of AMP and its state evolution via first-order cancellation
10.1109/tsp.2020.3005545 · 2020 · External reference
Compressive phase retrieval via generalized approximate message passing
10.1109/tsp.2014.2386294 · 2014 · External reference
Unresolved reference
2016 · External reference
10.1002/9780470316481
10.1002/9780470316481 · 1980 · External reference
False discoveries occur early on the LASSO path
10.1214/16-aos1521 · 2017 · External reference
SLOPE is adaptive to unknown sparsity and asymptotically minimax
10.1214/15-aos1397 · 2016 · External reference
A survey of collaborative filtering techniques
10.1155/2009/421425 · 2009 · External reference
A modern maximum-likelihood theory for high-dimensional logistic regression
10.1073/pnas.1810420116 · 2019 · External reference
Unresolved reference
External reference
The likelihood ratio test in high-dimensional logistic regression is asymptotically a rescaled chi-square
10.1007/s00440-018-00896-9 · 2017 · External reference
Bayes-optimal convolutional AMP
10.1109/tit.2021.3077471 · 2021 · External reference
Unresolved reference
External reference
Rigorous dynamics of expectation-propagation-based signal recovery from unitarily invariant measurements
10.1109/tit.2019.2947058 · 2020 · External reference
Unresolved reference
2011 · External reference
A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors
10.1109/tit.2002.804053 · 2002 · External reference
Precise error analysis of regularized M-estimators in high dimensions
10.1109/tit.2018.2840720 · 2018 · External reference
Regularized linear regression: A precise analysis of the estimation error
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External reference
Regression shrinkage and selection via the Lasso
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External reference
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Unresolved reference
External reference
Hyperspectral unmixing via turbo bilinear approximate message passing
10.1109/tci.2015.2465161 · 2015 · External reference
10.1090/gsm/058
10.1090/gsm/058 · 2003 · External reference
10.1007/978-3-540-71050-9
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Minimax sparse principal subspace estimation in high dimensions
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Statistical and computational trade-offs in estimation of sparse principal components
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External reference
Statistical physics of inference: Thresholds and algorithms
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External reference
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