Caroline Uhler

 

 

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Research Interests

  • Algebraic statistics

  • Theoretical statistics (i.e. graphical models, multivariate statistics, maximum likelihood estimation, parameter identifiability, Markov chain Monte Carlo, hidden Markov models)

  • Applied algebraic geometry
  •    
  • Convex optimization
  • Computational biology

 

My research statement can be found here.

   

Publications

Geometry of maximum likelihood estimation in Gaussian graphical models, to appear in Annals of Statistics.

Privacy preserving GWAS data sharing, (with Stephen E. Fienberg and Aleksandra Slavkovic), to appear in Proceedings of the 11th IEEE International Conference on Data Mining.

Detecting epistasis via Markov bases (with A. Malaspinas), Journal of Algebraic Statistics 2 (2011), 36-53.

Multivariate Gaussians, semidefinite matrix completion and convex algebraic geometry (with B. Sturmfels), Annals of the Institute of Statistical Mathematics 62 (2010), 603-638.

Commuting birth-and-death processes (with S. N. Evans and B. Sturmfels), Annals of Applied Probability 20 (2010), 238-266.

Mastitis in Dairy Production: Estimation of Sensitivity, Specificity and Disease Prevalence in the Absence of a Gold Standard, Journal of Agricaltural, Biological, and Environmental Statistics 14 (2009), 79-98.

A complete Neandertal mitochondrial genome sequence determined by high-throughput sequencing (with R.E. Green, A. Malaspinas, J. Krause, A.W. Briggs, P.L. Johnson, M. Meyer, J.M. Good, T. Maricic, U. Stenzel, K. Prüfer, M. Siebauer, H.A. Burbano, M. Ronan, J.M. Rothberg, M. Egholm, P. Rudan, D, Brajkov, Z. Kućan, I. Gus, M. Wikström, L. Laakkonen, J. Kelso, M. Slatkin, S. Pääbo), Cell 134 (2008), 416-426.

  

Thesis

My thesis can be found here: thesis

 

Software

Detecting epistasis via Markov bases [website]

 

Invited Talks

Oct 11, 2011: IMA Postdoc Seminar, University of Minnesota in Minneapolis: The geometry of maximum likelihood estimation in Gaussian graphical models [slides]

Oct 9, 2011: SIAM Conference on Applied Algebraic Geometry, University of North Carolina: Chromosome packing in cell nuclei [slides]

Oct 8, 2011: SIAM Conference on Applied Algebraic Geometry, University of North Carolina: The geometry of maximum likelihood estimation in Gaussian graphical models [slides].

Oct 8, 2011: CDI Meeting: Integrating Statistics and Computational Approaches to Data Privacy: Privacy with genetic data [slides].

Apr 22, 2011: Seminar on Computational Topology in Stanford: Chromosome packing in cell nuclei [slides].

Dec 17, 2010: Research Seminar in Statistics at ETH Zurich (CH): The geometry of maximum likelihood estimation in Gaussian graphical models [slides].

Sep 10, 2010: Statistics and Genomics Seminar at UC Berkeley: Detecting epistasis via Markov bases [slides].

Jun 28, 2010: The Second CREST--SBM International Conference Harmony of Groebner bases and the modern industrial society in Osaka, Japan: ML estimation in Gaussian graphical models [slidesvideo].

Mar 27, 2010: AMS Sectional Meeting on Advances in Algebraic Statistics in Lexington: ML estimation in Gaussian graphical models [slides].

Mar 17, 2010: Seminar on convex algebraic geometry at UC Berkeley: ML estimation in 
Gaussian graphical models
[slides].

Jul 1, 2009:  Second de Brun Workshop on Computational Algebra at Galway (IR): 
Multivariate Gaussians, semidefinite matrix completion and convex algebraic geometry
[slides].

Jun 26, 2009:  Group meeting of Monique Laurent at CWI in Amsterdam (NL): Multivariate Gaussians, semidefinite matrix completion and convex algebraic geometry [slides].

Jun 24, 2009: EIDMA Seminar Combinatorial Thoery at Technische Universiteit Eindhoven (NL): Semidefinite matrix completion and Gaussian graphical models [slides].

May 9, 2009: FRG Meeting: Semidefinite Optimization and Convex Algebraic Geometry at MIT, Cambridge: Semidefinite matrix completion and Gaussian graphical models [slides].

Apr 8, 2009: Seminar on discrete mathematics at UC Berkeley: Semidefinite matrix completion and Gaussian graphical models [slides].

Dec 16, 2008: Workshop on Algebraic Statistics at the MSRI in Berkeley: Commuting birth-and-death processes [slides].

Oct 15, 2008: Seminar on discrete mathematics at UC Berkeley: Commuting birth-and-death processes [abstract].

Aug 11, 2008: Department of Biosystems, Sience and Engineering at ETH: A strategy for detecting multiple trait loci in disease association studies [slides].

Jul 23, 2008: Seminar on model selection at the Technische Universität in Berlin: Markov bases in statistical genetics [slides].

 

Additional Conference Attendance

Oct 4 - Oct 8, 2010: AIM Workshop on Parameter Identification in Graphical Models in Palo Alto, CA.

Sep 14 - Sep 17, 2008: Opening Workshop on Algebraic Methods in Systems Biology and Statistics at SAMSI [poster].

Jul 12 - Jul 17, 2008: XX International Congress of Genetics in Berlin.

Jun 30 - Jul 10, 2008: LMS Durham Symposium on Mathematical Aspects of Graphical Models in England [poster].

Mar 5 - Mar 9, 2007: IMA Workshop on Applications in Biology, Dynamics and Statistics at the University of Minnesota.

Jun 17 - Jun 21, 2006: Summer School on Algebraic Statistics, Tropical Geometry and Computational Biology in Norway.