Optimization Under Symmetry

Program

Geometric Methods in Optimization and Sampling

Date

Monday, Nov. 29 – Friday, Dec. 3, 2021

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All talks are in Pacific Time.

9 – 9:20 a.m.

Coffee and Check-In

9:20 – 9:30 a.m.

Opening Remarks

9:30 – 10:30 a.m.

Norm Minimization, Invariant Theory, And Quantum Tomography

Cole Franks (MIT)

10:30 – 11 a.m.

Break

11 a.m. – 12 p.m.

Computing The Nc-Rank Via Discrete Convex Optimization On Cat(0) Spaces

Hiroshi Hirai (University of Tokyo)

12 – 2 p.m.

Lunch

2 – 2:30 p.m.

Near Optimal Sample Complexity For Matrix And Tensor Normal Models Via Geodesic Convexity

Akshay Ramachandran (University of Amsterdam)

2:30 – 3 p.m.

Break

3 – 4 p.m.

Constrained Optimization On Riemannian Manifolds

Melanie Weber (Oxford, Mathematical Institute)

4 – 5 p.m.

Reception

9 – 9:30 a.m.

Coffee and Check-In

9:30 – 10:30 a.m.

Continuous Maximum Entropy Distributions

Jonathan Leake (Weierstrass Institute Berlin)

10:30 – 11 a.m.

Break

11 a.m. – 12 p.m.

Sampling Matrices From Harish-Chandra-Itzykson-Zuber Densities

Colin McSwiggen (Courant Institute, New York University)

12 – 2 p.m.

Lunch

2 – 3 p.m.

A Productization Property/Trick For H-Stable(And Hopefully Strongly Log-Concave) Polynomials

Leonid Gurvits (City College of New York)

3 – 3:30 p.m.

Break

3:30 – 4:30 p.m.

Groups And Symmetries In Statistical Models

Anna Seigal (Harvard University)

9 – 9:30 a.m.

Coffee and Check-In

9:30 – 10:30 a.m.

Complexity Of Computing Complex Zeros Of Structured Polynomial Systems

Peter Buergisser (TU Berlin)

10:30 – 11 a.m.

Break

11 a.m. – 12 p.m.

Two Tensor Optimization Problems From Quantum Information

Matthias Christandl (University of Copenhagen)

12 – 2 p.m.

Lunch

2 – 3 p.m.

The Kronecker Coefficients Of The Symmetric Group In Complexity And Combinatorics

Greta Panova (University of Southern California)

3 – 3:30 p.m.

Break

3:30 – 4:30 p.m.

Matrix Multiplication, And The Asymptotic Spectrum Of Tensors

Avi Wigderson (Institute for Advanced Study, Princeton)

9 – 9:30 a.m.

Coffee and Check-In

9:30 – 10:30 a.m.

On The Polyhedral Geometry Of Pivot Rules

Raman Sanyal (Goethe University Frankfurt)

10:30 – 11 a.m.

Break

11 a.m. – 12 p.m.

Optimization On Tensor Network Varieties

Fulvio Gesmundo (Max Planck Institute for Mathematics in the Sciences)

12 – 2 p.m.

Lunch

2 – 2:30 p.m.

Symmetry Adapted Gram Spectrahedra

Serkan Hosten (San Francisco State University)

9 – 9:30 a.m.

Coffee and Check-In

9:30 – 10:30 a.m.

Equivariant RL

Max Welling (University of Amsterdam)

10:30 – 11 a.m.

Break

11 a.m. – 12 p.m.

Equivariant Machine Learning Structured Like Classical Physics

Soledad Villar (Johns Hopkins)