# Samuel Hopkins

**PhD Candidate, Cornell University**

*(graduating May 2018)*

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

CV (pdf)

Supported by a Microsoft PhD Fellowship, an NSF Graduate Research Fellowship, and a Cornell University Fellowship.

### Events

- June 2017 – September 2017: Research internship at Microsoft Research New England
- May 2017: Stanford theory seminar
- May 2017: Toyota Technological Institute Young Researcher Seminar
- May 2017: KTH Stockholm theory seminar
- April 2017: Cornell theory seminar

### Publications

#### 2017+

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

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

#### 2016

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)

On the integrality gap of degree-4 sum of squares for planted clique *Samuel B. Hopkins, Pravesh K. Kothari, Aaron Potechin, Tselil Schramm, Prasad Raghavendra.* SODA 2016, invited to special issue. arxiv 1 (Hopkins-Kothari-Potechin version) and arxiv 2 (Raghavendra-Schramm version)

#### 2015

Tensor principal component analysis via sum-of-squares proofs. *Samuel B. Hopkins, Jonathan Shi, David Steurer.* COLT 2015, 20 minute presentation. arxiv

#### 2013

Kolmogorov Complexity, Circuits, and the Strength of Formal Theories of Arithmetic *Eric Allender, George Davie, Luke Friedman, Samuel B. Hopkins, Iddo Tzameret.* Chicago Journal of Theoretical Computer Science. eccc

324 Gates Hall

*samhop at cs dot cornell dot edu*