ISQGD Distinguished Lectures
This page presents upcoming Distinguished Lectures organized by the international society in Quantization, Geometry, and Dynamics. Each lecture record includes the speaker information, affiliation, event time in US Central Time, local-time access link, Zoom meeting link, and the lecture title and abstract when available.
Upcoming Distinguished Lectures
ISQGD Distinguished Lectures
Below are the upcoming ISQGD Distinguished Lectures, listed in chronological order. Each lecture entry includes the speaker, affiliation, date and time, local-time access link, Zoom meeting link, and the title and abstract whenever available.
Affiliation: School of Mathematics and Statistics, University of St Andrews, UK
🌍 Local Time: Click here to view the time in your local time zone
Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Webpage: Visit Webpage
Title: The Baire Hierarchy, multifractal decomposition sets and $\Pi_\gamma^0$-Completeness
Abstract:
This talk will discuss the position of the so-called "multifractal decomposition sets”
in the Baire Hierarchy. In particular, we will prove that ”multi-fractal decomposition sets” are the building blocks from which all other $\Pi_\gamma^0$-sets can be constructed;
more, precisely, ”multifractal decomposition sets” are $\Pi_\gamma^0$-complete.
As an application we find the position of the classical Eggleston-Besicovitch set
in the Baire Hierarchy.
Affiliation: Department of Mathematics, University of South Carolina, USA
🌍 Local Time: Click here to view the time in your local time zone
Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Webpage: Visit Webpage
Title: Transport alpha divergences
Abstract:
We derive a class of divergences measuring the difference between probability density functions
on a one-dimensional sample space. This divergence is a one-parameter variation of the
Itakura–Saito divergence between quantile density functions. We prove that the proposed
divergence is a one-parameter variation of transport Kullback–Leibler divergence and Hessian
distance of negative Boltzmann entropy with respect to the Wasserstein-2 metric. From Taylor
expansions, we also formulate the 3-symmetric tensor in Wasserstein space, which is given by an
iterative Gamma-three operator. The alpha-geodesic on Wasserstein space is also derived. From
these properties, we name the proposed information measures transport alpha divergences. We
provide several examples of transport alpha divergences for generative models in machine
learning applications.
Affiliation: Department of Mathematics, Uppsala University, Sweden
🌍 Local Time: Click here to view the time in your local time zone
Zoom Meeting Link: 🔗 Join the Meeting (Zoom)
Webpage: Visit Webpage
Title: TBA
Abstract:
TBA