Corpus ID: 220968910

Computational Barriers to Estimation from Low-Degree Polynomials

@article{Schramm2020ComputationalBT,
  title={Computational Barriers to Estimation from Low-Degree Polynomials},
  author={Tselil Schramm and Alexander S. Wein},
  journal={ArXiv},
  year={2020},
  volume={abs/2008.02269}
}
One fundamental goal of high-dimensional statistics is to detect or recover structure from noisy data. In many cases, the data can be faithfully modeled by a planted structure (such as a low-rank matrix) perturbed by random noise. But even for these simple models, the computational complexity of estimation is sometimes poorly understood. A growing body of work studies low-degree polynomials as a proxy for computational complexity: it has been demonstrated in various settings that low-degree… Expand
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