Homepage Caroline Uhler

 

 

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Research Interests

  • Algebraic statistics (i.e toric ideals, Markov bases, Graver bases)

  • Theoretical statistics (i.e. maximum likelihood estimation in Gaussian graphical models, Markov chain Monte Carlo, hidden Markov models)

  • Convex optimization
  • Computational biology

 

Publications

Detecting epistasis via Markov bases (with A. Malaspinas), submitted to Statistical Applications in Genetics and Molecular Biology.

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.

Software

Detecting epistasis via Markov bases [website]

 

Talks

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, MA: 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].

 

Conference Attendance

Jun 28 - Jul 2, 2010: The Second CREST--SBM International Conference Harmony of Groebner bases and the modern industrial society in Osaka, Japan [talk]

Mar 27 - Mar 28, 2010: AMS Sectional Meeting on Advances in Algebraic Statistics in Lexington [talk].

Jun 29 - Jul 10, 2009:  Second de Brun Workshop on Computational Algebra at Galway (IR)   [talk].

May 9 - May 11, 2009: FRG Meeting: Semidefinite Optimization and Convex Algebraic Geometry at MIT, Cambridge, MA [talk].

Dec 15 - Dec 18, 2008: Workshop on Algebraic Statistics at the MSRI [talk].

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.