# 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)

Google Scholar

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

### Recent and Upcoming Events

- November 2017: Theory seminar, University of Washington
- November 2017: Banff workshop on approximation algorithms
- October 2017: FOCS 2017
- August 2017: Oberwolfach workshop on sum of squares and proof complexity
- June 2017: Sum of Squares workshop, STOC 2017
- June 2017 – September 2017: Research internship at Microsoft Research New England
- May 2017: Stanford theory seminar
- May 2017: Toyota Technological Institute Young Researcher Seminar

### Publications

#### 2017+

**Mixture Models, Robustness, and Sum of Squares Proofs.** *Samuel B. Hopkins, Jerry Li.* In submission. arxiv talk (video)

**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

#### 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

### Other Talks

#### 2017

**Introduction to Pseudocalibration.** Joint talk with Aaron Potechin. youtube

324 Gates Hall

*samhop at cs dot cornell dot edu*