About the Authors

Colin N Dewey

Affiliation Department of Electrical Engineering and Computer Sciences, University of California Berkeley, Berkeley, California, United States of America

Peter M Huggins

Affiliation Department of Mathematics, University of California Berkeley, Berkeley, California, United States of America

Kevin Woods

Affiliation Department of Mathematics, University of California Berkeley, Berkeley, California, United States of America

Bernd Sturmfels

Affiliation Department of Mathematics, University of California Berkeley, Berkeley, California, United States of America

Lior Pachter

To whom correspondence should be addressed. E-mail: lpachter@Math.Berkeley.edu

Affiliation Department of Mathematics, University of California Berkeley, Berkeley, California, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

CND, PMH, KW, BS, and LP conceived and designed the experiments. CND and PMH performed the experiments. CND, PMH, KW, BS, and LP analyzed the data. CND, PMH, KW, BS, and LP wrote the paper.