Applied Matrix Positivity II

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Applied Matrix Positivity II

 04 - 08 Nov 2024

ICMS, Bayes Centre, Edinburgh

Scientific Organisers

  • Alexander Belton, University of Plymouth
  • Emilio Porcu, Khalifa University
  • Mihai Putinar, Newcastle University and University of California, Santa Barbara

About:

This workshop was a sequel to the ICMS workshop entitled  Applied Matrix Positivity, which was held online in July 2021. Its participants will explore connections between three themes: positivity transforms, total positivity & time-frequency analysis, and spatial statistics & machine learning. These have the overarching concept of a positive-definite kernel as a common golden thread. Our aim was to foster new exchanges and collaborations between theoretical and applied groups working on these topics of great current interest. The week-long workshop consisted of a preliminary day of talks devoted to foundational aspects of each theme, followed by three thematic days and concluding with the final day devoted to open discussion and the formulation of problems and plans for future research.

The organisers wish this workshop to be welcoming and inclusive for all of its participants. We subscribe to the Welcoming and Inclusiveness Statement of the International Linear Algebra Society.

Resources

Programme:

MONDAY 4 NOVEMBER 2024
Registration and Refreshments
Welcome and Housekeeping
Markus Faulhuber, University of Vienna Gabor analysis - Introduction and frame sets
Refreshments
Karlheinz Gröchenig, University of Vienna Gabor frames with totally positive windows
Lunch
Franz Luef, NTNU Trondheim Duality theorems for shift-invariant systems and Green's imprimitivity theorem
Refreshments
Joachim Stöckler, TU Dortmund University Gabor Frames of Totally Positive Functions and Estimates for their Frame Bounds
Welcome Reception, Hosted at ICMS
TUESDAY 5 NOVEMBER 2024
Bala Rajaratnam, University of California, Davis Preserving Positivity and dimension reduction without sparsity
Refreshment
René Schilling, TU Dresden Around the unique continuation property for functions of the Laplacian
Lunch
Anna Vishnyakova, Holon Institute of Technology An analog of multiplier sequences for the set of totally positive sequences
Refreshments
Projesh Nath Choudhury, Indian Institute of Technology Gandhinagar The history of variation diminution
Apoorva Khare, Indian Institute of Science Pólya frequency sequences and functions
WEDNESDAY 6 NOVEMBER 2024
Paul Ressel, Kath. Universität Eichstätt-Ingolstadt Multivariate Higher Order Monotonicity – and its Preservation
Refreshments
Olga Katkova (online), University of Massachusetts Boston
Lunch and Free Afternoon
THURSDAY 7 NOVEMBER 2024
Prateek Kumar Vishwakarma, Indian Institute of Science Plücker inequalities for weakly separated coordinates in the TNN Grassmannian
Refreshments
Sujit Sakharam Damase, Indian Institute of Science Total-positivity transforms in one and several variables
Lunch
Alex Belton, University of Plymouth Entrywise preservers beyond Schoenberg
Refreshments
Alexander Guterman, Bar-Ilan University Combinatorial Indices And Matrix Positivity
Dominique Guillot, University of Delaware Positivity preservers over finite fields
Workshop Dinner
FRIDAY 8 NOVEMBER 2024
Shahla Nasserasr, Rochester Institute of Technology Completion Problem for Totally Positive Matrices
Refreshments
Open problems session, chaired by Mihai Putinar
Lunch and End of Workshop