MSRI- Geometry and Representation Theory of Tensors for Computer Science, Statistics, and other areas

  1. Title:
    Induction for the rank of tensors
    Speaker:
    Giorgio Ottaviani

    Link:
    https://www.msri.org/summer_schools/451/schedules/3478

  2. Title:
    (e) the UDM case: some selected statistical blind identification approaches, all involving tensors. Local identifiability and numerical algorithms (including BIOME and FOOBI).

    Speaker:
    Pierre Comon

    Link:
    https://www.msri.org/summer_schools/451/schedules/3477

  3. Title:
    Ch 9: Spaces of tensors admitting normal forms
    Speaker:
    Joseph Landsberg

    Link:
    https://www.msri.org/summer_schools/451/schedules/3476

  4. Title:
    Introduction to the study of G-varieties via desingularizations by homogeneous vector bundles

    Speaker:
    Jerzy Weyman

    Link:
    https://www.msri.org/summer_schools/451/schedules/3475

  5. Title:
    (d) the invertible case: Independent Component Analysis - optimization criteria and some numerical algorithms
    Speaker:
    Pierre Comon

    Link:
    https://www.msri.org/summer_schools/451/schedules/3474

  6. Title:
    Nonnegative hypermatrices, symmetric tensors
    Speaker:
    Lek-Heng Lim

    Link:
    https://www.msri.org/summer_schools/451/schedules/3473

  7. Title:
    What do the words "ACM", "Gorenstein", and " rational singularites" mean and why are these properties useful?

    Speaker:
    Jerzy Weyman

    Link:
    https://www.msri.org/summer_schools/451/schedules/3472

  8. Title:
    (a) general statements on linear mixtures of random variables, (b)cumulants, (c) tensors
    Speaker:
    Pierre Comon

    Link:
    https://www.msri.org/summer_schools/451/schedules/3471

  9. Title:
    The variety of principal minors of symmetric matrices
    Speaker:
    Luke Oeding

    Link:
    https://www.msri.org/summer_schools/451/schedules/3470

  10. Title:
    Ch 8: Rank vs border rank of tensors and symmetric tensors
    Speaker:
    Joseph Landsberg

    Link:
    https://www.msri.org/summer_schools/451/schedules/3469

  11. Title:
    Ch 7. An algorithm for explicitly writing down polynomials in a given submodule of the space of polynomials. Further combinatorics of Young tableaux. Working with tensors in factored vs. expanded form.

    Speaker:
    Jason Morton

    Link:
    https://www.msri.org/summer_schools/451/schedules/3468

  12. Title:
    § 6.1,6.2,6.6,6.7 The Alexander-Hirshowitz theorem and dimensions of secant varieties of Segre varieties
    Speaker:
    Joseph Landsberg

    Link:
    https://www.msri.org/summer_schools/451/schedules/3467

  13. Title:
    Non-commutative harmonic analysis in machine learning
    Speaker:
    Risi Kondor

    Link:
    https://www.msri.org/summer_schools/451/schedules/3466

  14. Title:
    Uniqueness of tensor decomposition, direct sum conjecture
    Speaker:
    Vin de Silva

    Link:
    https://www.msri.org/summer_schools/451/schedules/3465

  15. Title:
    § 5.6 Equations III: Strassen's equations and variants
    Speaker:
    Joseph Landsberg

    Link:
    https://www.msri.org/summer_schools/451/schedules/3464

  16. Title:
    § 5.4, 5.5 Equations II: inheritance, and prolongation
    Speaker:
    Jason Morton

    Link:
    https://www.msri.org/summer_schools/451/schedules/3463

  17. Title:
    What are graph states?
    Speaker:
    David Gross

    Link:
    https://www.msri.org/summer_schools/451/schedules/3462

  18. Title:
    Hyperdeterminants and optimal approximability
    Speaker:
    Vin de Silva

    Link:
    https://www.msri.org/summer_schools/451/schedules/3461

  19. Title:
    § 5.1-5.3 Equations for secant varieties I: special Segre varieties, subspace varieties, flattenings
    Speaker:
    Joseph Landsberg

    Link:
    https://www.msri.org/summer_schools/451/schedules/3460

  20. Title:
    finish Ch 4 (Littlewood-Richardson rule and other handy formulas, more decompositions of spaces of tensors)
    Speaker:
    Jason Morton

    Link:
    https://www.msri.org/summer_schools/451/schedules/3459