- Stephan Huckemann (Georg-August-Universität Göttingen)
- Ezra Miller (Duke University)
- Zhigang Yao (National University of Singapore)
The world is witnessing an explosion in abundance of “complicated data” with geometric structure and a growing need for its statistical analysis. In the last century, substantial progress had largely focused on suitably linearizing such data and subjecting it to classical statistical methods. With the advent of increased computational power, more involved novel intrinsic methodology has been developed. This has led on the one hand to design of highly sophisticated new statistical descriptors (e.g. in persistent homology), and on the other hand to discovery of non-Euclidean limiting behaviors of such descriptors. The latter has linked geometry and statistics in an unanticipated and quite unprecedented way. This currently evolving new field “Statistics of Data with Geometric Structure” requires intense collaboration across mathematical disciplines that have been traditionally rather remote: statistics, probability, optimization, and machine learning on one side, and combinatorics, topology and geometry, on the other side. To foster this development we will bring together specialists from the varying disciplines to discuss fundamental questions.
The one-week workshop will consist of plenary overview and highlight talks. The overview talks aim to introduce all workshop participants to the core themes of the workshop, while the highlight talks will point out recent cutting-edge research and identify open areas, including major perceived challenges. This is particularly important to enable all participants to join the discussions and share knowledge as well as ideas.
Overview talks will be planned on these areas
- Statistics on manifolds;
- Optimization on manifolds;
- Manifold learning;
- Persistent homology.
|Interactions of Statistics and Geometry (ISAG)||14 - 18 Feb 2022||N/A|
|Plenary Speakers Ingrid Daubechies, Duke University, USA & Ian Dryden, The University of Nottingham, UK||N/A|
Mode of conference:
To prepare the conference, we will commit to holding the conference in February 2022 and expect all invitees consider their invitation to be for an in-person event.
Do note that, under the current evolving COVID situation, should the need arise, the mode of the conference might need to change to hybrid (physically at IMS and online), which we will only know after several months from now.
In case we switch to hybrid, a speaker (if time zone allows) can present a talk via zoom to a physical audience and/or other virtual audience. Otherwise, the speaker can pre-record the talk, and the recorded talk can be played in the IMS auditorium at the scheduled time slot.
List of Speakers
|Ingrid Daubechies (Plenary speaker)||Duke University|
|Ian Dryden (Plenary speaker)||The University of Nottingham|
|Herbert Edelsbrunner||IST Austria|
|Benjamin Eltzner||University of Göttingen|
|John Kent||University of Leeds|
|Huiling Le||University of Nottingham|
|Kanti Mardia||University of Leeds|
|Steve Marron||The University of North Carolina at Chapel Hill|
|Sayan Mukherjee||Duke University|
|Hans-Georg Muller||University of California, Davis|
|Victor M. Panaretos||École polytechnique fédérale de Lausanne (EPFL)|
|Wolfgang Polonik||University of California, Davis|
|Richard Samworth||Cambridge University|
|Stefan Sommer||University of Copenhagen|
|Katharine Turner||Australian National University|
|Jane-Ling Wang||University of California, Davis|
|Andrew Wood||University of Nottingham|
|Ming Yuan||Columbia University|
List of Participants
|Ingrid Daubechies||Duke University, USA|
|Ian Dryden||The University of Nottingham, UK|
|Stephan Huckemann||Georg-August-Universitat Gottingen, Germany|
|Ezra Miller||Duke University, USA|
|Zhigang Yao||National University of Singapore, Singapore|