# Samuel Hopkins

*algorithms, theoretical machine learning, semidefinite programming, sum of squares optimization, convex hierarchies, and hardness of approximation.*

I am a Miller fellow in the theory group at UC Berkeley, where I am hosted by Prasad Raghavendra and Luca Trevisan. Before that, I got my PhD at Cornell under David Steurer's watchful eyes.

CV (pdf)

### Selected Publications

For more, see all publications

**Mean Estimation with Sub-Gaussian Rates in Polynomial Time.** *Samuel B. Hopkins.* Annals of Statistics, to appear. arxiv talk (Simons Institute)

**Statistical Inference and the Sum of Squares Method.** *Samuel B. Hopkins.* *Dissertation.* pdf

**Mixture Models, Robustness, and Sum of Squares Proofs.** *Samuel B. Hopkins, Jerry Li.* STOC 2018. arxiv talk 1 (BIRS) talk 2 (STOC)

**The power of SoS for detecting hidden structures.** *Samuel B. Hopkins, Pravesh K. Kothari, Aaron Potechin, Prasad Raghavendra, Tselil Schramm, David Steurer.* FOCS 2017. arxiv

**Efficient Bayesian estimation from few samples: community detection and related problems.** *Samuel B. Hopkins, David Steurer.* FOCS 2017. arxiv

**A nearly tight sum-of-squares lower bound for the planted clique problem.** *Boaz Barak, Samuel B. Hopkins, Jonathan Kelner, Pravesh K. Kothari, Ankur Moitra, Aaron Potechin.* FOCS 2016, inivted to special issue. arxiv video slides (pdf)

**Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors.** *Samuel B. Hopkins, Tselil Schramm, Jonathan Shi, David Steurer.* STOC 2016. arxiv slides (pptx)

### Other Writing

Blog posts I wrote on clustering and learning high-dimensional mixture models using the SoS method (originally appeared on Windows on Theory. pdf

Notes on tensor decomposition using the SoS method (originally notes for a guest lecture at Stanford). pdf

### Notes

Currently I am supported by the Miller Fellowship at UC Berkeley. In the past, I have received support from by Microsoft PhD Fellowship, an NSF Graduate Research Fellowship, and a Cornell University Fellowship.

I am Samuel B. Hopkins. Maybe you are looking for Samuel Francis Hopkins?

6th Floor, Soda Hall

*hopkins at berkeley.edu*