Notes on computational hardness of hypothesis testing: predictions using the low-degree likelihood ratio
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Publication:2103494
DOI10.1007/978-3-030-97127-4_1OpenAlexW2964738308MaRDI QIDQ2103494
Dmitriy Kunisky, Afonso S. Bandeira, Alexander S. Wein
Publication date: 13 December 2022
Full work available at URL: https://arxiv.org/abs/1907.11636
Factor analysis and principal components; correspondence analysis (62H25) Hypothesis testing in multivariate analysis (62H15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Statistical and computational trade-offs in estimation of sparse principal components
- Optimal detection of sparse principal components in high dimension
- Reconstruction and estimation in the planted partition model
- The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
- Algorithmic thresholds for tensor PCA
- Finding hidden cliques of size \(\sqrt{N/e}\) in nearly linear time
- Unconditional lower bounds for learning intersections of halfspaces
- Factoring polynomials with rational coefficients
- Expected complexity of graph partitioning problems
- Heuristics for semirandom graph problems
- A proof of the block model threshold conjecture
- Notes on computational-to-statistical gaps: predictions using statistical physics
- Fundamental limits of symmetric low-rank matrix estimation
- Optimality and sub-optimality of PCA. I: Spiked random matrix models
- Sparse high-dimensional linear regression. Estimating squared error and a phase transition
- Statistical limits of spiked tensor models
- Fundamental limits of detection in the spiked Wigner model
- Do semidefinite relaxations solve sparse PCA up to the information limit?
- Suboptimality of local algorithms for a class of max-cut problems
- The largest eigenvalue of rank one deformation of large Wigner matrices
- Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
- Statistical thresholds for tensor PCA
- Global Optimization with Polynomials and the Problem of Moments
- Sparse PCA via Covariance Thresholding
- Sum-of-squares Lower Bounds for Planted Clique
- Spectral redemption in clustering sparse networks
- On Counting Independent Sets in Sparse Graphs
- Efficient noise-tolerant learning from statistical queries
- Information, Physics, and Computation
- Almost all cubic graphs are Hamiltonian
- Large Cliques Elude the Metropolis Process
- Almost all regular graphs are hamiltonian
- Gaussian Hilbert Spaces
- Color-coding
- On the Complexity of Random Satisfiability Problems with Planted Solutions
- Sum-of-squares proofs and the quest toward optimal algorithms
- Asymptotic mutual information for the balanced binary stochastic block model
- A Nearly Tight Sum-of-Squares Lower Bound for the Planted Clique Problem
- Robust Estimators in High-Dimensions Without the Computational Intractability
- Statistical Algorithms and a Lower Bound for Detecting Planted Cliques
- Information-Theoretic Bounds and Phase Transitions in Clustering, Sparse PCA, and Submatrix Localization
- IX. On the problem of the most efficient tests of statistical hypotheses
- Random Matrices and Complexity of Spin Glasses
- Strongly refuting random CSPs below the spectral threshold
- Sum of squares lower bounds for refuting any CSP
- HIGH DIMENSIONAL ESTIMATION VIA SUM-OF-SQUARES PROOFS
- Analysis of Boolean Functions
- On Consistency and Sparsity for Principal Components Analysis in High Dimensions
- Community detection thresholds and the weak Ramanujan property
- On the Limitation of Spectral Methods: From the Gaussian Hidden Clique Problem to Rank One Perturbations of Gaussian Tensors
- Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors
- Gibbs states and the set of solutions of random constraint satisfaction problems
- Testing Statistical Hypotheses
- Limits of local algorithms over sparse random graphs
- Noise-tolerant learning, the parity problem, and the statistical query model
- Linear lower bound on degrees of Positivstellensatz calculus proofs for the parity
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