Multivariate approximation, discretization, and sampling recovery
DREW01
15 July 2024 to 19 July 2024
Workshop theme
The aim of the workshop is at least two-fold. On one hand, we will try to achieve a better understanding of ways of solving old problems from classical approximation theory, specifically, sampling problems.
On the other hand, we want to better understand how to handle problems in really high dimensions, where the classical multivariate approximation approach does not work. The reason why substantial progress may be achieved in this direction is based on the following two important conceptual steps, the role of which has been understood recently. We replace classical smoothness assumptions by structural assumptions. In particular, this step is a fundamental discovery of compressed sensing. Here, a structural assumption is the sparsity condition. Next, we replace classical approximation methods based on approximation from a linear subspace by nonlinear approximation, in particular, by $m$-term approximation, with respect to a dictionary. A number of very natural problems from discretization, which are important for applications not only in high dimensional approximation but also in the theory of orthogonal series, discrete mathematics and other areas, remain unsolved. It is planned to discuss within the workshop new approaches for solving these problems.
We expect that the participants of the workshop will represent the following actively developing areas of research: "Approximation in smooth function spaces", "Hyperbolic cross approximation", "Orthogonal series", "Banach spaces", and "Compressed sensing".
The visitors, representing these areas of research, will help to establish close fruitful connections between the areas. The core directions of the activities are closely related with a number of theoretical and applied areas such as nonparametric statistics, learning theory, harmonic analysis, numerical integration, discrepancy, linear algebra, tensor structures and others. We invite leading experts from these adjacent areas of research to participate in the workshop.
Application details
Deadline for applications: 17 Mar 2024
DRE programme participants DO NOT need to apply, programme participants with visit dates during DREW01 will automatically be added to the attendee list.
Please note members of Cambridge University are welcome to turn up and sign in as a non-registered attendee on the day(s) during the workshop and attend the lecture(s). Please note that we cannot provide you with any support including name badge, meals or accommodation.
In addition to visiting the INI, there are multiple ways in which you can participate remotely.
- Fees
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Registration Only
Registration Package: £219
Student Registration Package: £169
The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.Virtual Registration
Virtual Registration Package: £0
Virtual registration is free, and includes virtual admission to all seminars and does not include physical attendance, meals or accommodation.
Formal Dinner Only
Formal Dinner: £60
Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply. - Accommodation
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Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.
Limited funding support for accommodation may be available. To request this, please select the "accommodation package" in your application.The Institute accepts no responsibility for these services.
- Meals
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Lunch
Lunch will be served at Churchill College. Attendees will be provided with lunch vouchers for 2 courses and 1 drink. Timings will be confirmed with the timetable.
Evening Meal
Participants are free to make their own arrangements for dinner.
Formal Dinner
The Formal Dinner will be held at Christ's College on Wednesday 17th July at 19:30.
The event is a tradition for INI participants and gives you a chance to socialise with your colleagues on a more personal level. It is not one to miss!
Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.
Organisers
- Winfried Sickel Friedrich-Schiller-Universität Jena
- Vladimir Temlyakov University of South Carolina; Steklov Mathematical Institute, Russian Academy of Sciences
- Sergey Tikhonov ICREA and Universitat Autonoma de Barcelona; Centre de Recerca Matematica (CRM)
Supported By
