Talks

Quantum and Classical Tensor Networks, Department of Mathematics Colloquium, University of California, San Diego 12/4/2012.

Introduction to algebraic geometry for physicists and computer scientists, Tensor Network States and Algebraic Geometry Conference, ISI Foundation, Turin, Italy 11/6-7/2012.

Quantum and Classical Tensor Networks, Department of Mathematics Colloquium, University of Southern California, 10/10/2012.

Quantum and classical tensor networks, Tensors and their Geometry in High Dimensions Workshop, U.C. Berkeley, 9/29/2012.

Geometry of revolutionary information processing systems, DARPA, Arlington VA, 8/1/2012.

Mathematical explorations of deep learning, DARPA Deep Learning Meeting, Arlington, VA 7/25/2012.

Algebraic and geometric approaches to deep learning (3 talks). Graduate Summer School: Deep Learning, Feature Learning, IPAM, University of California Los Angeles, 7/19-20/2012.

Quantum and Classical Tensor Networks, Naval Research Laboratory, Washington, D.C. 6/21/2012.

Quantum and Classical Tensor Networks, ISI Foundation Colloquium, Turin, Italy 5/15/2012.

Tensor Networks in Algebraic Geometry and Statistics, Centro de Ciencias de Benasque Pedro Pascual, Benasque, Spain 5/10/2012.

Applied Algebraic Geometry, DARPA Mathematics Summit, Lake Tahoe 2/21-23/12.

Pfaffian circuits, SSC Seminar, Departments of Mathematics, Statistics, and Computer Science, University of Chicago, 1/6/12.

Graphical models as monoidal categories, MAA session on Algebraic Statistics at the Joint Mathematics Meeting, Boston, Massachusetts, 1/4/12.

Holographic algorithms without matchgates, Centre for Quantum Technologies, Singapore, 11/15/11.

Geometry of deep belief networks, Minisymposium on Graphical Statistical Models, SIAM Conference on Applied Algebraic Geometry, North Carolina State University, 10/6-9, 2011.

Geometry of Hierarchical Learning, Penn State Applied Algebra Seminar, 8/24/11.

Geometry of deep learning, Deep Learning Phase 2 Kickoff Meeting, San Jose, CA, 8/10/11.

Pfaffian circuits, ICERM (inaugural) Topical Workshop on Mathematical Aspects of P versus NP and its Variants . Providence, RI, 8/1-8/5, 2011.

Pfaffian circuits, Quantum Computation Seminar, Dept. Mathematics, UCSD, 5/10/11.

Modelling higher-order dependence with cumulants, Center for Computational Mathematics Seminar, Dept. Mathematics, UCSD, 5/10/11.

Graphical models as monoidal categories, Penn State Probability Seminar, 3/25/11.

Tools for higher-order portfolio optimization, Financial Mathematics Seminar, Penn State Dept. Mathematics, 3/22/2011.

Pfaffian circuits, University of Kentucky Combinatorics, Algebra, Topology and Statistics Seminar, Lexington, KY 3/7/10.

Kernel counting, Algebraic geometry in the sciences, kickoff workshop for the 2011 Mittag-Leffler Institute program Algebraic Geometry with a view towards applications. Oslo, Norway 1/14 2011.

Kernel counting, Rice Department of Computational and Applied Mathematics Colloquium, Houston, TX 11/29/10.

Kernel counting, DARPA YFA Kickoff meeting, Arlington, VA 9/21/20.

Geometry of restricted Boltzmann machines, SIAM Minisymposium on Convex algebraic geometry at the 2010 SIAM Annual Meeting, Pittsburgh, PA, 7/14/2010.

A geometric approach to partition functions, SIAM Minisymposium on Algebraic statistics at the 2010 SIAM Annual Meeting, Pittsburgh, PA, 7/13/2010.

Holographic algorithms without matchgates, University of Michigan CS Theory Seminar, 6/3/2010.

Geometry of restricted Boltzmann machines, Special Session on Advances in Algebraic Statistics, AMS Spring Southeastern Sectional Meeting, 3/27-28/2010.

Kernel counting, Princeton Discrete Math Seminar, 3/25/10.

Kernel counting and algebraic complexity theory, Penn State Slow Pitch Seminar, 3/16/10.

Holographic algorithms without matchgates, Symbolic Computation Seminar, North Carolina State University, 2/17/2010.

Holographic algorithms without matchgates, Penn State CS Theory Seminar, 2/8/2010.

Geometry of the restricted Boltzmann machine, Penn State Probability Seminar, 2/5/10.

Relations among conditional probabilities, Penn State Probability Seminar, 1/29/10.

Scalable implicit symmetric tensor approximation, Computational Methods for Tensors minisymposium, SIAM Conference on Applied Linear Algebra, 10/28/2009, Monterey Bay-Seaside, CA. Slides.

Geometry of restricted Boltzmann machines, AMS Fall Eastern Section Meeting, University Park, Pennsylvania, 10/25/2009.

Tools for higher-order portfolio optimization, Practitioner's Financial Mathematics Seminar, School of Mathematics, University of Minnesota, 10/9/2009.

Holographic algorithms without matchgates, Combinatorics seminar, School of Mathematics, University of Minnesota, 10/9/2009.

Algebraic models for multilinear dependence, IMS NRC, Johns Hopkins University 7/31/09.

Distributions representable by restricted Boltzmann machines (poster), ICML 2009 Workshop on Learning Feature Hierarchies, Montreal, Canada, 6/18/09.

A visualization is a hypothesis, San Francisco Data Visualization Salon, 5/5/09.

Holographic algorithms without matchgates, Stanford CS Theory Lunch, 4/23/09.

Holographic algorithms without matchgates, U.C. Berkeley Discrete Math Seminar, 4/20/09.

Algebraic models for multilinear dependence, Sandia National Laboratory, 4/16/09.

Algebraic models for multilinear dependence, Penn State Department of Mathematics, 4/8/09.

Tools for higher-order portfolio optimization, MSCI Barra, 3/31/09.

Tools for higher-order portfolio optimization, Berkeley IEOR Seminar, 2/23/09.

Algebraic models for multilinear dependence, NSF Workshop: Future Directions in Tensor-Based Computation and Modeling, Arlington, VA 2/21/09.

Mapping the geometry of heart rate data, DARPA Topological Data Analysis meeting, Santa Barbara, CA 1/23/09.

Algebraic models for multilinear dependence , Duke Statistical Science Seminar, 1/19/09.

Algebraic models for multilinear dependence, U.C. Berkeley Special Algebraic Statistics Seminar, 1/13/09.

Algebraic models for multilinear dependence, at the Algebraic Statistical Models Workshop, SAMSI, Research Triangle Park, North Carolina, 1/15-1/17, 2009.

Tools for higher-order portfolio optimization, QWAFAFEW, San Francisco, 1/12/09. Slides.

Algebraic models for multilinear dependence, at the Algebraic methods in machine learning minisymposium, part of NIPS, Vancouver and Whistler, 12/11/08.

Tensor geometry and cumulants. Texas A&M Geometry Seminar, 11/14/08.

Mapping the geometry of heart rate data, DARPA FunBio meeting, San Francisco, 8/21/08.

Tensors and statistics, AIM Geometry and representation theory of tensors for computer science, statistics and other areas Palo Alto, 7/23/08.

A series of video lectures given at the MSRI graduate workshop on the geometry of tensors.

Practitioner's Financial Mathematics Seminar, School of Mathematics, University of Minnesota, 4/11/08.

Conditional probability, bipartite graphs, and permutohedra, at the University of Minnesota Combinatorics Seminar, 4/11/08.

Relations among conditional probabilities at Geometric Aspects of Conditional Independence and Information, conference at the Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, 3/14/08.

Topological regularization of large graphical models, TMSCSCS Seminar, Stanford University 3/12/08

Relations among conditional probabilities, Computational Genomics and Algebraic Statistics Seminar, U.C. Berkeley, 11/13/07.

Relations among conditional probabilities, AMS Special Session on Combinatorial Enumeration, Optimization, Geometry, and Statistics at the Murfreesboro, Tennessee meeting, 11/03/07.

Schur modules in algebraic statistics, U.C. Berkeley Special Algebraic Statistics Seminar, 7/2/07.

How to Write Down Polynomials I and II (on using Schur-Weyl Duality to decompose ideals), Special Geometry Seminar at Texas A&M, 6/4/07 and 6/6/07.

Geometry of Rank Tests, poster at IMA session on Applications of Algebraic Geometry (Applications in Biology, Dynamics, and Statistics), 3/5/07.

The Toric Geometry of Conditional Probability, U. C. Berkeley Student Algebraic Statistics Seminar, 11/13/06.

Semigraphoids and the Permutohedron, MIT Combinatorics Seminar, 10/6/06

Geometry of Rank Tests, Texas A&M Algebra and Combinatorics Seminar, 9/29/06

Geometry of Rank Tests, Third European Workshop on Probabilistic Graphical Models, Prague 9/14/06

Rank Tests for Microarray Data, Duke Systems Biology Seminar, 8/31/06

Geometry of Rank Tests, MSRI Summer Graduate Workshop on Mathematical aspects of computational biology, 6/27/06