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20102026
most citedSparse PCA: Optimal rates and adaptive estimation

307 citations · 907 across the 65 of their papers we have counts for

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Showing 2013Show all

6 papers · 1 filter

cs.IT2013

Near Optimal Compressed Sensing of a Class of Sparse Low-Rank Matrices via Sparse Power Factorization

Kiryung Lee, Yihong Wu, Yoram Bresler

Compressed sensing of simultaneously sparse and low-rank matrices enables recovery of sparse signals from a few linear measurements of their bilinear form. One important question i…

math.ST2013★ 130 cited

Computational barriers in minimax submatrix detection

Zongming Ma, Yihong Wu

This paper studies the minimax detection of a small submatrix of elevated mean in a large matrix contaminated by additive Gaussian noise. To investigate the tradeoff between statis…

cs.DS2013★ 2 cited

Tight Lower Bound for Linear Sketches of Moments

Alexandr Andoni, Huy L. Nguyen, Yury Polyanskiy +1

The problem of estimating frequency moments of a data stream has attracted a lot of attention since the onset of streaming algorithms [AMS99]. While the space complexity for approx…

math.ST2013★ 7 cited

Volume Ratio, Sparsity, and Minimaxity under Unitarily Invariant Norms

Zongming Ma, Yihong Wu

The current paper presents a novel machinery for studying non-asymptotic minimax estimation of high-dimensional matrices, which yields tight minimax rates for a large collection of…

math.ST2013★ 7 cited

Optimal Estimation and Rank Detection for Sparse Spiked Covariance Matrices

Tony Cai, Zongming Ma, Yihong Wu

This paper considers sparse spiked covariance matrix models in the high-dimensional setting and studies the minimax estimation of the covariance matrix and the principal subspace a…

cs.IT2013★ 1 cited

Peak-to-average power ratio of good codes for Gaussian channel

Yury Polyanskiy, Yihong Wu

Consider a problem of forward error-correction for the additive white Gaussian noise (AWGN) channel. For finite blocklength codes the backoff from the channel capacity is inversely…