activity
20162024
most citedOptimality and Sub-optimality of PCA for Spiked Random Matrices and Synchronization

47 citations · 51 across the 6 of their papers we have counts for

collaborators

6 papers

math.ST20241 cited

Tensor cumulants for statistical inference on invariant distributions

Dmitriy Kunisky, Cristopher Moore, Alexander S. Wein

Many problems in high-dimensional statistics appear to have a statistical-computational gap: a range of values of the signal-to-noise ratio where inference is information-theoretic…

cs.DS2024

Low-degree phase transitions for detecting a planted clique in sublinear time

Jay Mardia, Kabir Aladin Verchand, Alexander S. Wein

We consider the problem of detecting a planted clique of size in a random graph on vertices. When the size of the clique exceeds , polynomial-time algorithms f…

math.ST20241 cited

Information-Theoretic Thresholds for Planted Dense Cycles

Cheng Mao, Alexander S. Wein, Shenduo Zhang

We study a random graph model for small-world networks which are ubiquitous in social and biological sciences. In this model, a dense cycle of expected bandwidth , representin…

cs.DS20231 cited

Detection of Dense Subhypergraphs by Low-Degree Polynomials

Abhishek Dhawan, Cheng Mao, Alexander S. Wein

Detection of a planted dense subgraph in a random graph is a fundamental statistical and computational problem that has been extensively studied in recent years. We study a hypergr…

cs.CC20231 cited

Is Planted Coloring Easier than Planted Clique?

Pravesh K. Kothari, Santosh S. Vempala, Alexander S. Wein +1

We study the computational complexity of two related problems: recovering a planted -coloring in , and finding efficiently verifiable witnesses of non--colorability…

math.ST201647 cited

Optimality and Sub-optimality of PCA for Spiked Random Matrices and Synchronization

Amelia Perry, Alexander S. Wein, Afonso S. Bandeira +1

A central problem of random matrix theory is to understand the eigenvalues of spiked random matrix models, in which a prominent eigenvector is planted into a random matrix. These d…