manifold learning [BNP Seminar, 11/01/23]

An incoming BNP webinar on Zoom by Judith Rousseau and Paul Rosa (U of Oxford), on 11 January at 1700 Greenwich time:

Bayesian nonparametric manifold learning

In high dimensions it is common to assume that the data have a lower dimensional structure. We consider two types of low dimensional structure: in the first part the data is assumed to be concentrated near an unknown low dimensional manifold, in the second case it is assumed to be possibly concentrated on an unknown manifold. In both cases neither the manifold nor the density is known. Atypical example is for noisy observations on an unknown low dimensional manifold.

We first consider a family of Bayesian nonparametric density estimators based on location – scale Gaussian mixture priors and we study the asymptotic properties of the posterior distribution. Our work shows in particular that non conjuguate location-scale Gaussian mixture models can adapt to complex geometries and spatially varying regularity when the density is supported near a low dimensional manifold.

In the second part of the talk we will consider also the case where the distribution is supported on a low dimensional manifold. In this non dominated model,we study different types of posterior contraction rates: Wasserstein and where is the Haussdorff measure on the manifold supporting the density. Some more generic results on Wasserstein contraction rates are also discussed.

 

CANSSI HSC seminar series

thanks from CIRM

ISBA 2.1…0!

As the first fully virtual ISBA 2021 meeting is about to start, let me remind participants of the following:

On the Whova Agenda, you can see the Agenda in your local time, be sure to toggle the option. And the list of posters for each of the four poster sessions is available in the Agenda, as well as at the entrance of each poster “room” on gather.town

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ISBA 2021, one more week but already in the future!

The main section of the ISBA 2021 (formerly ISBA 2020) conference starts a week from today, with short courses this week, but it is now a futuristic conference in that… the number of registered participants already exceeds the year of the meeting! There are currently 2033 registrations, a quantic leap from the earlier editions (if helped with the virtual nature of the meeting and the absence of any registration fee). Here are the recommendations to be found on the Whova conference portal, just in case:

The ISBA conference will be a mixture of live talks, pre-recorded talks, and posters. All live-streaming will be via Zoom, with links integrated into the Whova platform.

1. 1. Plenary talks (i.e., Foundational Lectures, Keynote Lectures, and Named Lectures) and all invited talks will be live-streamed during the corresponding sessions.
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And be aware that the schedule page does not contain the links to the prerecorded videos and slides. Make sure to use the webapp link.