Research graph
References from Spectral Methods for Data Science: A Statistical Perspective. Local targets link to admitted publications; unresolved targets remain external evidence.
Community detection and stochastic block models: recent developments
2017 · External reference
Exact recovery in the stochastic block model
10.1109/tit.2015.2490670 · 2016 · External reference
Unresolved reference
2020 · External reference
Entrywise eigenvector analysis of random matrices with low expected rank
10.1214/19-aos1854 · 2020 · External reference
Fast computation of low-rank matrix approximations
10.1145/1219092.1219097 · 2007 · External reference
Unresolved reference
2020 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2021 · External reference
Blind deconvolution using convex programming
10.1109/tit.2013.2294644 · 2013 · External reference
Hypergraph spectral clustering in the weighted stochastic block model
10.1109/jstsp.2018.2837638 · 2018 · External reference
Eigenvalue ratio test for the number of factors
10.3982/ecta8968 · 2013 · External reference
NP-hardness of Euclidean sum-of-squares clustering
10.1007/s10994-009-5103-0 · 2009 · External reference
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
2008 · External reference
Pseudo-likelihood methods for community detection in large sparse networks
10.1214/13-aos1138 · 2013 · External reference
Robust synthetic control
2018 · External reference
Tensor decompositions for learning latent variable models
2014 · External reference
Unresolved reference
1962 · External reference
Unresolved reference
2015 · External reference
10.1007/978-3-642-32512-0_4
10.1007/978-3-642-32512-0_4 · 2012 · External reference
Community detection in large-scale social networks: state-of-the-art and future directions
10.1007/s13278-019-0566-x · 2019 · External reference
Phase retrieval meets statistical learning theory: A flexible convex relaxation
2017 · External reference
Inferential theory for factor models of large dimensions
10.1111/1468-0262.00392 · 2003 · External reference
Panel data models with interactive fixed effects
10.3982/ecta6135 · 2009 · External reference
Determining the number of factors in approximate factor models
10.1111/1468-0262.00273 · 2002 · External reference
Forecasting economic time series using targeted predictors
10.1016/j.jeconom.2008.08.010 · 2008 · External reference
Econometric analysis of large factor models
10.1146/annurev-economics-080315-015356 · 2016 · External reference
Prediction by supervised principal components
10.1198/016214505000000628 · 2006 · External reference
Unresolved reference
2018 · External reference
Statistical guarantees for the EM algorithm: From population to sample-based analysis
10.1214/16-aos1435 · 2017 · External reference
Noise thresholds for spectral clustering
2011 · External reference
Streaming PCA and subspace tracking: The missing data case
2018 · External reference
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization
10.1007/s10107-016-1059-6 · 2017 · External reference
Sharp nonasymptotic bounds on the norm of random matrices with independent entries
10.1214/15-aop1025 · 2016 · External reference
Unresolved reference
2020 · External reference
Singular vector and singular subspace distribution for the matrix denoising model
10.1214/20-aos1960 · 2021 · External reference
Unresolved reference
2016 · External reference
Laplacian eigenmaps for dimensionality reduction and data representation
10.1162/089976603321780317 · 2003 · External reference
Unresolved reference
2013 · External reference
Covariate-assisted spectral clustering
10.1093/biomet/asx008 · 2017 · External reference
10.1093/acprof:oso/9780199535255.001.0001
10.1093/acprof:oso/9780199535255.001.0001 · 2013 · External reference
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold
10.1016/j.laa.2015.02.027 · 2015 · External reference
Rank analysis of incomplete block designs: I. The method of paired comparisons
10.2307/2334029 · 1952 · External reference
Unresolved reference
2013 · External reference
Unresolved reference
2011 · External reference
Subspace estimation from unbalanced and incomplete data matrices: ℓ2,∞ statistical guarantees
10.1214/20-aos1986 · 2021 · External reference
Nonconvex low-rank symmetric tensor completion from noisy data
2019 · External reference
Nonconvex low-rank tensor completion from noisy data
2021 · External reference
Unresolved reference
2020 · External reference
Fast rank-one alternating minimization algorithm for phase retrieval
10.1007/s10915-018-0857-9 · 2019 · External reference
Robust and computationally feasible community detection in the presence of arbitrary outlier nodes
10.1214/14-aos1290 · 2015 · External reference
Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow
10.1214/16-aos1443 · 2016 · External reference
Sparse PCA: Optimal rates and adaptive estimation
10.1214/13-aos1178 · 2013 · External reference
ROP: Matrix recovery via rank-one projections
10.1214/14-aos1267 · 2015 · External reference
Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics
10.1214/17-aos1541 · 2018 · External reference
Unresolved reference
2016 · External reference
Phase retrieval via Wirtinger flow: Theory and algorithms
10.1109/tit.2015.2399924 · 2015 · External reference
Unresolved reference
2014 · External reference
Robust principal component analysis?
10.1145/1970392.1970395 · 2011 · External reference
Phase retrieval from coded diffraction patterns
10.1016/j.acha.2014.09.004 · 2015 · External reference
Matrix completion with noise
2010 · External reference
Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming
10.1002/cpa.21432 · 2013 · External reference
Exact matrix completion via convex optimization
10.1007/s10208-009-9045-5 · 2009 · External reference
The power of convex relaxation: Near-optimal matrix completion
10.1109/tit.2010.2044061 · 2010 · External reference
Poisson matrix recovery and completion
10.1109/tsp.2015.2500192 · 2015 · External reference
The two-to-infinity norm and singular subspace geometry with applications to high-dimensional statistics
10.1214/18-aos1752 · 2019 · External reference
Aggregation and social choice: A mean voter theorem
1991 · External reference
Unresolved reference
2019 · External reference
Unresolved reference
2010 · External reference
Rank-sparsity incoherence for matrix decomposition
10.1137/090761793 · 2011 · External reference
Low-rank matrix recovery with composite optimization: good conditioning and rapid convergence
2021 · External reference
Unresolved reference
2019 · External reference
Matrix estimation by universal singular value thresholding
2014 · External reference
Unresolved reference
2012 · External reference
A reduced-dimension fMRI shared response model
2015 · External reference
Nonconvex rectangular matrix completion via gradient descent without ℓ2,∞ regularization
10.1109/tit.2020.2992234 · 2020 · External reference
Unresolved reference
2010 · External reference
Phase retrieval by linear algebra
10.1137/16m1107747 · 2017 · External reference
Phase transitions in spectral community detection
10.1109/tsp.2015.2442958 · 2015 · External reference
Unresolved reference
2020 · External reference
Unresolved reference
2020 · External reference
Unresolved reference
2013 · External reference
Unresolved reference
2020 · External reference
Exact and stable covari-ance estimation from quadratic sampling via convex programming
10.1109/tit.2015.2429594 · 2015 · External reference
Learning mixtures of low-rank models
10.1109/tit.2021.3065700 · 2021 · External reference
Harnessing structures in big data via guaranteed low-rank matrix estimation: Recent theory and fast algorithms via convex and nonconvex optimization
10.1109/msp.2018.2821706 · 2018 · External reference
Unresolved reference
2015 · External reference
Solving random quadratic systems of equations is nearly as easy as solving linear systems
10.1002/cpa.21638 · 2017 · External reference
The projected power method: An efficient algorithm for joint alignment from pairwise differences
10.1002/cpa.21760 · 2018 · External reference
Asymmetry helps: Eigenvalue and eigenvector analyses of asymmetrically perturbed low-rank matrices
10.1214/20-aos1963 · 2021 · External reference
Robust spectral compressed sensing via structured matrix completion
10.1109/tit.2014.2343623 · 2014 · External reference
Gradient descent with random initialization: Fast global convergence for nonconvex phase retrieval
10.1007/s10107-019-01363-6 · 2019 · External reference
Noisy matrix completion: Understanding statistical guarantees for convex relaxation via nonconvex optimization
10.1137/19m1290000 · 2020 · External reference
Spectral method and regularized MLE are both optimal for top-Κ ranking
10.1214/18-aos1745 · 2019 · External reference
Inference and uncertainty quantification for noisy matrix completion
2019 · External reference
Bridging convex and nonconvex optimization in robust PCA: Noise, outliers, and missing data
10.1214/21-aos2066 · 2021 · External reference
Convex and nonconvex optimization are both minimax-optimal for noisy blind deconvolu-tion
2021 · External reference
Unresolved reference
2014 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2015 · External reference
Information recovery from pairwise measurements
10.1109/tit.2016.2600566 · 2016 · External reference
Tackling small eigen-gaps: Fine-grained eigenvector estimation and inference under heteroscedastic noise
10.1109/tit.2021.3111828 · 2021 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2021 · External reference
Subspace learning from bits
10.1109/tsp.2017.2712127 · 2017 · External reference
Nonconvex optimization meets low-rank matrix factorization: An overview
10.1109/tsp.2019.2937282 · 2019 · External reference
Unresolved reference
2015 · External reference
Graph partitioning via adaptive spectral techniques
10.1017/s0963548309990514 · 2010 · External reference
Exact recovery in the hypergraph stochastic block model: A spectral algorithm
10.1016/j.laa.2020.01.039 · 2020 · External reference
Fisher lecture: Dimension reduction in regression
2007 · External reference
Unresolved reference
2021 · External reference
Unresolved reference
2013 · External reference
Unresolved reference
2020 · External reference
Unresolved reference
1999 · External reference
1-bit matrix completion
10.1093/imaiai/iau006 · 2014 · External reference
An overview of low-rank matrix recovery from incomplete observations
10.1109/jstsp.2016.2539100 · 2016 · External reference
The rotation of eigenvectors by a perturbation. III
10.1137/0707001 · 1970 · External reference
Unresolved reference
2017 · External reference
Comparison theorems for reversible Markov chains
1993 · External reference
Leave-one-out approach for matrix completion: Primal and dual analysis
10.1109/tit.2020.2992769 · 2020 · External reference
High dimensional deformed rectangular matrices with applications in matrix denoising
10.3150/19-bej1129 · 2020 · External reference
Nonconvex demixing from bilinear measurements
10.1109/tsp.2018.2864660 · 2018 · External reference
A note on sin Θ theorems for singular subspace variations
10.1023/a:1022303426500 · 2000 · External reference
Unresolved reference
2020 · External reference
Slicing regression: a link-free regression method
1991 · External reference
State aggregation learning from Markov transition data
2019 · External reference
Solving (most) of a set of quadratic equalities: Composite optimization for robust phase retrieval
10.1093/imaiai/iay015 · 2019 · External reference
Analysis of spectral methods for phase retrieval with random orthogonal matrices
10.1109/tit.2020.2981910 · 2020 · External reference
Unresolved reference
2007 · External reference
Unresolved reference
2001 · External reference
On the impact of predictor geometry on the performance on high-dimensional ridge-regularized generalized robust regression estimators
10.1007/s00440-016-0754-9 · 2018 · External reference
On robust regression with high-dimensional predictors
2013 · External reference
Phase retrieval: Stability and recovery guarantees
10.1016/j.acha.2013.08.003 · 2014 · External reference
Unperturbed: Spectral analysis beyond Davis-Kahan
2018 · External reference
High-rank matrix completion
2012 · External reference
High dimensional classification using features annealed independence rules
10.1214/07-aos504 · 2008 · External reference
Unresolved reference
2019 · External reference
Asymptotic theory of eigenvectors for random matrices with diverging spikes
2020 · External reference
10.1093/nsr/nwt032 · 2014 · Admitted local publication
Recent developments on factor models and applications in econometric learning
10.1146/annurev-financial-091420-011735 · 2021 · External reference
10.1201/9780429096280
10.1201/9780429096280 · 2020 · External reference
Large covariance estimation by thresholding principal orthogonal complements
10.1111/rssb.12016 · 2013 · External reference
Projected principal component analysis in factor models
10.1214/15-aos1364 · 2016 · External reference
Power enhancement in high-dimensional cross-sectional tests
10.3982/ecta12749 · 2015 · External reference
Sure independence screening for ultrahigh dimensional feature space
10.1111/j.1467-9868.2008.00674.x · 2008 · External reference
Unresolved reference
2018 · External reference
Distributed estimation of principal eigenspaces
10.1214/18-aos1713 · 2019 · External reference
Robust high-dimensional factor models with applications to statistical machine learning
10.1214/20-sts785 · 2021 · External reference
An ℓ∞ eigenvector perturbation bound and its application to robust covariance estimation
2018 · External reference
Unresolved reference
2018 · External reference
The numerics of phase retrieval
10.1017/s0962492920000069 · 2020 · External reference
Exponential error rates of SDP for block models: Beyond Grothendieck’s inequality
10.1109/tit.2018.2839677 · 2018 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2019 · External reference
10.1007/978-1-4899-4549-5
10.1007/978-1-4899-4549-5 · 1996 · External reference
Phase retrieval algorithms: A comparison
10.1364/ao.21.002758 · 1982 · External reference
Consistent adjacency-spectral partitioning for the stochastic block model when the model parameters are unknown
10.1137/120875600 · 2013 · External reference
Unresolved reference
2016 · External reference
Solution of a ranking problem from binary comparisons
10.1080/00029890.1957.11989117 · 1957 · External reference
The generalized dynamic-factor model: Identification and estimation
10.1162/003465300559037 · 2000 · External reference
Community detection in networks: A user guide
10.1016/j.physrep.2016.09.002 · 2016 · External reference
Weighted matrix completion from non-random, non-uniform sampling patterns
10.1109/tit.2020.3039308 · 2020 · External reference
Guaranteed recovery of one-hidden-layer neural networks via cross entropy
10.1109/tsp.2020.2993153 · 2020 · External reference
Achieving optimal misclassification proportion in stochastic block models
2017 · External reference
Unresolved reference
2016 · External reference
From few to many: Illumination cone models for face recognition under variable lighting and pose
10.1109/34.927464 · 2001 · External reference
Unresolved reference
2011 · External reference
Unresolved reference
2020 · External reference
Partial recovery bounds for clustering with the relaxed K-means
10.4171/msl/8 · 2019 · External reference
Phasemax: Convex phase retrieval via basis pursuit
10.1109/tit.2018.2800768 · 2018 · External reference
Recovering low-rank matrices from few coefficients in any basis
10.1109/tit.2011.2104999 · 2011 · External reference
Improved recovery guarantees for phase retrieval from coded diffraction patterns
10.1016/j.acha.2015.05.004 · 2017 · External reference
Minimax-optimal inference from partial rankings
2014 · External reference
Achieving exact cluster recovery threshold via semidefinite programming
10.1109/tit.2016.2546280 · 2016 · External reference
Unresolved reference
2020 · External reference
Eigen selection in spectral clustering: a theory guided practice
2021 · External reference
Unresolved reference
2019 · External reference
Phaselift is robust to a constant fraction of arbitrary errors
10.1016/j.acha.2016.01.001 · 2017 · External reference
Unresolved reference
2016 · External reference
Large sample properties of generalized method of moments estimators
1982 · External reference
Unresolved reference
2014 · External reference
Most tensor problems are NP-hard
10.1145/2512329 · 2013 · External reference
Stochastic blockmodels: First steps
10.1016/0378-8733(83)90021-7 · 1983 · External reference
Unresolved reference
2016 · External reference
10.1017/cbo9781139020411
10.1017/cbo9781139020411 · 2012 · External reference
Time-uniform Chernoff bounds via nonnegative supermartingales
10.1214/18-ps321 · 2020 · External reference
COMS 4772: advanced machine learning
2016 · External reference
Unresolved reference
2013 · External reference
Tensor maps for synchronizing heterogeneous shape collections
2019 · External reference
Blind deconvolution by a steepest descent algorithm on a quotient manifold
10.1137/17m1151390 · 2018 · External reference
Unresolved reference
2019 · External reference
Consistent shape maps via semidefinite programming
10.1111/cgf.12184 · 2013 · External reference
Unresolved reference
2004 · External reference
MM algorithms for generalized Bradley-Terry models
10.1214/aos/1079120141 · 2004 · External reference
Probably certifiably correct k-means clustering
10.1007/s10107-016-1097-0 · 2017 · External reference
Phase retrieval: An overview of recent developments
2016 · External reference
Sample-efficient algorithms for recovering structured signals from magnitude-only measurements
10.1109/tit.2019.2902924 · 2019 · External reference
10.1561/2200000058 · 2017 · Admitted local publication
Unresolved reference
2013 · External reference
Unresolved reference
2011 · External reference
Unresolved reference
2016 · External reference
10.1561/2200000057 · 2019 · Admitted local publication
Localization from incomplete noisy distance measurements
10.1007/s10208-012-9129-5 · 2013 · External reference
Debiasing the Lasso: Optimal sample size for Gaussian designs
10.1214/17-aos1630 · 2018 · External reference
Unresolved reference
2017 · External reference
A unified perturbation analysis framework for countable Markov chains
10.1016/j.laa.2017.05.002 · 2017 · External reference
Provable efficient online matrix completion via non-convex stochastic gradient descent
2016 · External reference
Local maxima in the likelihood of Gaussian mixture models: Structural results and algorithmic consequences
2016 · External reference
Fast community detection by SCORE
10.1214/14-aos1265 · 2015 · External reference
Phase transitions for high dimensional clustering and related problems
10.1214/16-aos1522 · 2017 · External reference
On the distribution of the largest eigenvalue in principal components analysis
10.1214/aos/1009210544 · 2001 · 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
2018 · External reference
10.1007/978-1-4757-1904-8_8
10.1007/978-1-4757-1904-8_8 · 1986 · External reference
Unresolved reference
2010 · External reference
The spectral method for general mixture models
10.1137/s0097539704445925 · 2008 · External reference
Unresolved reference
2009 · External reference
Unresolved reference
2013 · External reference
Budget-optimal task allocation for reliable crowdsourcing systems
10.1287/opre.2013.1235 · 2014 · External reference
Unresolved reference
2013 · External reference
Unresolved reference
2017 · External reference
Matrix completion from noisy entries
2009 · External reference
Matrix completion from a few entries
10.1109/tit.2010.2046205 · 2010 · External reference
Noisy low-rank matrix completion with general sampling distribution
10.3150/12-bej486 · 2014 · External reference
Tensor decompositions and applications
10.1137/07070111x · 2009 · External reference
Efficient estimation of linear functionals of principal components
10.1214/19-aos1816 · 2020 · External reference
Asymptotics and concentration bounds for bilinear forms of spectral projectors of sample covariance
10.1214/15-aihp705 · 2016 · External reference
Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion
10.1214/11-aos894 · 2011 · External reference
10.1007/978-3-319-40519-3_18
10.1007/978-3-319-40519-3_18 · 2016 · External reference
Unresolved reference
2020 · External reference
On the convex geometry of blind deconvolution and matrix completion
10.1002/cpa.21957 · 2021 · External reference
Tensor completion based on nuclear norm minimization for 5D seismic data reconstruction
10.1190/geo2013-0022.1 · 2013 · External reference
Unresolved reference
2010 · External reference
Unresolved reference
2021 · External reference
Factor analysis as a statistical method
1962 · External reference
Unresolved reference
2015 · External reference
Concentration and regularization of random graphs
10.1002/rsa.20713 · 2017 · External reference
Unresolved reference
2018 · External reference
Spectral methods for passive imaging: Nonasymptotic performance and robustness
10.1137/17m1143599 · 2018 · External reference
Near-optimal compressed sensing of a class of sparse low-rank matrices via sparse power factorization
10.1109/tit.2017.2784479 · 2017 · External reference
Consistency of spectral clustering in stochastic block models
10.1214/14-aos1274 · 2015 · External reference
Unresolved reference
2014 · External reference
Unresolved reference
2019 · External reference
Asymptotics for high dimensional regression M-estimates: Fixed design results
10.1007/s00440-017-0824-7 · 2018 · External reference
10.1201/9781315119427
10.1201/9781315119427 · 2018 · External reference
Unresolved reference
2021 · External reference
Unresolved reference
2021 · External reference
Breaking the sample size barrier in model-based reinforcement learning with a generative model
2020 · External reference
A fast spectral method for active 3D shape reconstruction
10.1023/b:jmiv.0000011324.14508.fb · 2004 · External reference
On principal Hessian directions for data visualization and dimension reduction: Another application of Stein’s lemma
10.1080/01621459.1992.10476258 · 1992 · External reference
Relative perturbation theory: II. Eigenspace and singular subspace variations
10.1137/s0895479896298506 · 1998 · External reference
Sparse signal recovery from quadratic measurements via convex programming
10.1137/120893707 · 2013 · External reference
Convex relaxation methods for community detection
10.1214/19-sts715 · 2021 · External reference
When do birds of a feather flock together? k-means, proximity, and conic programming
10.1007/s10107-018-1333-x · 2020 · External reference
Rapid, robust, and reliable blind deconvolution via nonconvex optimization
10.1016/j.acha.2018.01.001 · 2019 · External reference
Blind gain and phase calibration via sparse spectral methods
10.1109/tit.2018.2883623 · 2018 · External reference
Non-convex low-rank matrix recovery with arbitrary outliers via median-truncated gradient descent
10.1093/imaiai/iaz009 · 2020 · External reference
Nonconvex matrix factorization from rank-one measurements
10.1109/tit.2021.3050427 · 2021 · External reference
A statistical investigation of the dependence of tropical cyclone intensity change on the surrounding environment
10.1175/mwr-d-16-0368.1 · 2017 · External reference
Unresolved reference
2020 · External reference
Regularized gradient descent: A non-convex recipe for fast joint blind deconvolution and demixing
10.1093/imaiai/iax022 · 2019 · External reference
Tensor Completion Made Practical
2020 · External reference
Tensor completion for estimating missing values in visual data
10.1109/tpami.2012.39 · 2012 · External reference
e PCA: High dimensional exponential family PCA
10.1214/18-aoas1146 · 2018 · External reference
Perturbation bounds for the stationary distributions of Markov chains
10.1137/110838753 · 2012 · External reference
Least squares quantization in PCM
10.1109/tit.1982.1056489 · 1982 · External reference
Optimality of spectral clustering for Gaussian mixture model
10.1214/20-aos2044 · 2021 · External reference
High-dimensional regression with noisy and missing data: provable guarantees with nonconvexity
10.1214/12-aos1018 · 2012 · External reference
High-dimensional covariance matrix estimation with missing observations
10.3150/12-bej487 · 2014 · External reference
Unresolved reference
2016 · External reference
Phase transitions of spectral initialization for high-dimensional non-convex estimation
10.1093/imaiai/iaz020 · 2020 · External reference
Unresolved reference
2012 · External reference
Optimal spectral initialization for signal recovery with applications to phase retrieval
10.1109/tsp.2019.2904918 · 2019 · External reference
The bottlenose dolphin community of Doubtful Sound features a large proportion of long-lasting associations
10.1007/s00265-003-0651-y · 2003 · External reference
Beyond Procrustes: Balancing-free gradient descent for asymmetric low-rank matrix sensing
10.1109/tsp.2021.3051425 · 2021 · External reference
Implicit regularization in nonconvex statistical estimation: Gradient descent converges linearly for phase retrieval, matrix completion, and blind deconvo-lution
10.1007/s10208-019-09429-9 · 2020 · External reference
Spectral method for phase retrieval: an expectation propagation perspective
10.1109/tit.2021.3049172 · 2021 · External reference
Optimization-based AMP for Phase Retrieval: The Impact of Initialization and ℓ2-regularization
10.1109/tit.2019.2893254 · 2019 · External reference
Sparse principal component analysis and iterative thresholding
10.1214/13-aos1097 · 2013 · External reference
Unresolved reference
1967 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2014 · External reference
A well-tempered landscape for non-convex robust subspace recovery
2019 · External reference
An introduction to the five-factor model and its applications
10.1111/j.1467-6494.1992.tb00970.x · 1992 · External reference
Low-rank matrix completion and denoising under Poisson noise
10.1093/imaiai/iaaa020 · 2021 · External reference
Unresolved reference
2001 · External reference
10.1093/acprof:oso/9780198570837.001.0001
10.1093/acprof:oso/9780198570837.001.0001 · 2009 · External reference
Alignment and integration of complex networks by hypergraph-based spectral clustering
10.1103/physreve.86.056111 · 2012 · External reference
Sensitivity and convergence of uniformly ergodic Markov chains
10.1239/jap/1134587812 · 2005 · External reference
Clustering subgaussian mixtures by semidefinite programming
10.1093/imaiai/iax001 · 2017 · External reference
Unresolved reference
2019 · External reference
Unresolved reference
2019 · External reference
Fundamental limits of weak recovery with applications to phase retrieval
10.1007/s10208-018-9395-y · 2019 · External reference
EE 378B: Statistical Signal Processing
2011 · External reference
Spectral algorithms for tensor completion
10.1002/cpa.21748 · 2018 · External reference
Unresolved reference
2015 · External reference
Finite sample approximation results for principal component analysis: A matrix perturbation approach
10.1214/08-aos618 · 2008 · External reference
Unresolved reference
2019 · External reference
Unresolved reference
2018 · External reference
Estimation of (near) low-rank matrices with noise and high-dimensional scaling
10.1214/10-aos850 · 2011 · External reference
Rank centrality: Ranking from pairwise comparisons
10.1287/opre.2016.1534 · 2016 · External reference
Restricted strong convexity and weighted matrix completion: Optimal bounds with noise
2012 · External reference
Phase retrieval using alternating minimization
10.1109/tsp.2015.2448516 · 2015 · External reference
Non-convex robust PCA
2014 · External reference
Finding community structure in networks using the eigenvectors of matrices
10.1103/physreve.74.036104 · 2006 · External reference
Spectral methods for community detection and graph partitioning
10.1103/physreve.88.042822 · 2013 · External reference
On spectral clustering: Analysis and an algorithm
2002 · External reference
Learning mixed multinomial logit model from ordinal data
2014 · External reference
Unresolved reference
2009 · External reference
Unresolved reference
2006 · External reference
Simultaneously structured models with application to sparse and low-rank matrices
10.1109/tit.2015.2401574 · 2015 · External reference
Solving the multi-way matching problem by permutation synchronization
2013 · External reference
Unresolved reference
1999 · External reference
Instance-dependent ℓ∞-bounds for policy evaluation in tabular reinforcement learning
10.1109/tit.2020.3027316 · 2020 · External reference
Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
2007 · External reference
Contributions to the mathematical theory of evolution
10.1098/rsta.1894.0003 · 1894 · External reference
Approximating k-means-type clustering via semidefinite programming
10.1137/050641983 · 2007 · External reference
Optimality and sub-optimality of PCA I: Spiked random matrix models
10.1214/17-aos1625 · 2018 · External reference
Convolutional phase retrieval via gradient descent
10.1109/tit.2019.2950717 · 2019 · External reference
Concentration of measure inequalities in information theory, communications, and coding
10.1561/0100000064 · 2013 · External reference
Unresolved reference
2014 · External reference
Robust text-independent speaker identification using Gaussian mixture speaker models
10.1109/89.365379 · 1995 · External reference
A statistical model for tensor PCA
2014 · External reference
Spectral clustering and the high-dimensional stochastic blockmodel
10.1214/11-aos887 · 2011 · External reference
Perturbation theory for Markov chains via Wasserstein distance
10.3150/17-bej938 · 2018 · External reference
Unresolved reference
2018 · External reference
Learning without the phase: Regularized phasemax achieves optimal sample complexity
2018 · External reference
The local convexity of solving systems of quadratic equations
10.1007/s00025-016-0564-5 · 2017 · External reference
Role of normalization in spectral clustering for stochastic blockmodels
10.1214/14-aos1285 · 2015 · External reference
The SVD and reduced rank signal processing
10.1016/0165-1684(91)90058-q · 1991 · External reference
A generalized solution of the orthogonal procrustes problem
10.1007/bf02289451 · 1966 · External reference
The net of reciprocal influence. a problem in treating sociometric data
10.1037/h0084096 · 1949 · External reference
Unresolved reference
2016 · External reference
Feeling the Bern: Adaptive estimators for Bernoulli probabilities of pairwise comparisons
10.1109/tit.2019.2903249 · 2019 · External reference
Unresolved reference
2013 · External reference
Matrix completion with deterministic pattern: A geometric perspective
10.1109/tsp.2018.2885494 · 2018 · External reference
GESPAR: Efficient phase retrieval of sparse signals
10.1109/tsp.2013.2297687 · 2014 · External reference
Phase retrieval with application to optical imaging: a contemporary overview
10.1109/msp.2014.2352673 · 2015 · External reference
Normalized spectral map synchronization
2016 · External reference
Normalized cuts and image segmentation
10.1109/34.868688 · 2000 · External reference
Tensor decomposition for signal processing and machine learning
10.1109/tsp.2017.2690524 · 2017 · External reference
Angular synchronization by eigenvectors and semidef-inite programming
10.1016/j.acha.2010.02.001 · 2011 · External reference
Three-dimensional structure determination from common lines in cryo-EM by eigenvectors and semidefinite programming
10.1137/090767777 · 2011 · External reference
Structured signal recovery from quadratic measurements: Breaking sample complexity barriers via nonconvex optimization
10.1109/tit.2019.2891653 · 2019 · External reference
Unresolved reference
2019 · External reference
10.1525/9780520423671-036
10.1525/9780520423671-036 · 1972 · External reference
Unresolved reference
1990 · External reference
Forecasting using principal components from a large number of predictors
10.1198/016214502388618960 · 2002 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
1987 · External reference
Guaranteed matrix completion via non-convex factorization
10.1109/tit.2016.2598574 · 2016 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2019 · External reference
A modern maximum-likelihood theory for high-dimensional logistic regression
2019 · External reference
The likelihood ratio test in high-dimensional logistic regression is asymptotically a rescaled chi-square
10.1007/s00440-018-00896-9 · 2019 · External reference
Phase retrieval via randomized Kaczmarz: Theoretical guarantees
10.1093/imaiai/iay005 · 2019 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
1985 · External reference
Shape and motion from image streams under orthography: a factorization method
10.1007/bf00129684 · 1992 · External reference
Accelerating ill-conditioned low-rank matrix estimation via scaled gradient descent
2021 · External reference
Low-rank matrix recovery with scaled subgradient methods: Fast and robust convergence without the condition number
10.1109/tsp.2021.3071560 · 2021 · External reference
Unresolved reference
2021 · External reference
Unresolved reference
2021 · External reference
Freedman’s inequality for matrix martingales
10.1214/ecp.v16-1624 · 2011 · External reference
User-friendly tail bounds for sums of random matrices
10.1007/s10208-011-9099-z · 2012 · External reference
10.1561/2200000048 · 2015 · Admitted local publication
Unresolved reference
2009 · External reference
Unresolved reference
2016 · External reference
Face recognition using eigen-faces
1991 · External reference
Unresolved reference
2000 · External reference
Nonconvex structured phase retrieval: A focus on provably correct approaches
10.1109/msp.2020.3003541 · 2020 · External reference
Rethinking PCA for modern data sets: Theory, algorithms, and applications
2018 · External reference
Low-rank phase retrieval
10.1109/tsp.2017.2684758 · 2017 · External reference
A spectral algorithm for learning mixture models
10.1016/j.jcss.2003.11.008 · 2004 · External reference
Unresolved reference
2017 · External reference
10.1007/978-0-387-87811-9
10.1007/978-0-387-87811-9 · 2016 · External reference
Spectral ranking
10.1017/nws.2016.21 · 2016 · External reference
A tutorial on spectral clustering
10.1007/s11222-007-9033-z · 2007 · External reference
Minimax rates of estimation for sparse PCA in high dimensions
2012 · External reference
Minimax sparse principal subspace estimation in high dimensions
10.1214/13-aos1151 · 2013 · External reference
10.1017/9781108627771
10.1017/9781108627771 · 2019 · External reference
Unresolved reference
2021 · External reference
Solving systems of random quadratic equations via truncated amplitude flow
10.1109/tit.2017.2756858 · 2018 · External reference
Sparse phase retrieval via truncated amplitude flow
10.1109/tsp.2017.2771733 · 2018 · External reference
Unresolved reference
2021 · External reference
Asymptotics of empirical eigenstructure for high dimensional spiked covariance
10.1214/16-aos1487 · 2017 · External reference
Spectral algorithms for community detection in directed networks
2020 · External reference
Perturbation bounds in connection with singular value decomposition
10.1007/bf01932678 · 1972 · External reference
Guarantees of Riemannian optimization for low rank matrix recovery
10.1137/15m1050525 · 2016 · External reference
Unresolved reference
2020 · External reference
Optimal estimation of Gaussian mixtures via denoised method of moments
10.1214/19-aos1873 · 2020 · External reference
Normal approximation and confidence region of singular subspaces
10.1214/21-ejs1876 · 2021 · External reference
On polynomial time methods for exact low-rank tensor completion
10.1007/s10208-018-09408-6 · 2019 · External reference
Statistical inferences of linear forms for noisy matrix completion
10.1111/rssb.12400 · 2021 · External reference
Statistically optimal and computationally efficient low rank tensor completion from noisy entries
10.1214/20-aos1942 · 2021 · External reference
Unresolved reference
2020 · External reference
An adaptive estimation of dimension reduction space
10.1111/1467-9868.03411 · 2002 · External reference
Sequential subspace change point detection
10.1080/07474946.2020.1823191 · 2020 · External reference
Global analysis of expectation maximization for mixtures of two Gaussians
2016 · External reference
Unresolved reference
2019 · External reference
On convergence properties of the EM algorithm for Gaussian mixtures
10.1162/neco.1996.8.1.129 · 1996 · External reference
Unresolved reference
2021 · External reference
Unresolved reference
2016 · External reference
Misspecified nonconvex statistical optimization for sparse phase retrieval
10.1007/s10107-019-01364-5 · 2019 · External reference
Unresolved reference
2014 · External reference
Fast algorithms for robust PCA via gradient descent
2016 · External reference
A useful variant of the Davis-Kahan theorem for statisticians
10.1093/biomet/asv008 · 2015 · External reference
Unresolved reference
2018 · External reference
Phase retrieval via sparse Wirtinger flow
10.1016/j.cam.2019.01.009 · 2019 · External reference
Theoretical and computational guarantees of mean field variational inference for community detection
10.1214/19-aos1898 · 2020 · External reference
Heteroskedastic PCA: Algorithm, optimality, and applications
2021 · External reference
Spectral state compression of Markov processes
10.1109/tit.2019.2956737 · 2020 · External reference
Tensor SVD: Statistical and computational limits
10.1109/tit.2018.2841377 · 2018 · External reference
ISLET: Fast and optimal low-rank tensor regression via importance sketching
10.1137/19m126476x · 2020 · External reference
Unresolved reference
2016 · External reference
Median-truncated nonconvex approach for phase retrieval with outliers
10.1109/tit.2018.2847695 · 2018 · External reference
A nonconvex approach for phase retrieval: Reshaped Wirtinger flow and incremental algorithms
2017 · External reference
Model-based multi-agent RL in zero-sum Markov games with near-optimal sample complexity
2020 · External reference
Compres-sive phase retrieval via reweighted amplitude flow
10.1109/tsp.2018.2862395 · 2018 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2018 · External reference
Detecting overlapping communities in networks using spectral methods
10.1137/19m1272238 · 2020 · External reference
Spectral methods meet EM: A provably optimal algorithm for crowdsourcing
2014 · External reference
Unresolved reference
2020 · External reference
Consistency of community detection in networks under degree-corrected stochastic block models
10.1214/12-aos1036 · 2012 · External reference
A convergent gradient descent algorithm for rank minimization and semidefinite programming from random linear measurements
2015 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2017 · External reference
Near-optimal bounds for phase synchronization
10.1137/17m1122025 · 2018 · External reference
Dual principal component pursuit: Improved analysis and efficient algorithms
2018 · External reference
Unresolved reference
2019 · External reference
Sparse principal component analysis
10.1198/106186006x113430 · 2006 · External reference
