skip to content

Challenges in optimal recovery and hyperbolic cross approximation

18th February 2019 to 22nd February 2019
Tino Ullrich Universität Bonn
Feng Dai University of Alberta
Erich Novak Friedrich-Schiller-Universität Jena
Alexei Shadrin University of Cambridge
Vladimir Temlyakov University of South Carolina, Steklov Mathematical Institute, Russian Academy of Sciences

Workshop theme

Efficient approximation and integration of multivariate functions is a crucial task for the numerical treatment of many multi-parameter real-world problems. Typically, the computation time of algorithms
grows dramatically in the number of variables.  This has led to a deep and actively developing area of multivariate approximation known under the name “Hyperbolic Cross Approximation” and "Sparse Grids" which fits very well to function classes with a bounded mixed derivative. Those functions appear naturally in probability and discrepancy theory. They further serve as suitable framework for the treatment of the electronic Schroedinger equation. Recently, driven by applications in engineering, biology, medicine and other areas of science, new challenging problems have appeared. The theory of hyperbolic cross approximation and the related theory of functions with mixed smoothness are under detailed study for more than 50 years. It is understood that both theoretical analysis and construction of practical algorithms are rather difficult problems. This explains why many fundamental problems in this area are still unsolved which has been the main motivation for us to organize this workshop.

Deadline for applications: 26th October 2018

ASC programme participants DO NOT need to apply, programme participants with visit dates during ASCW01 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.

Apply now


Registration Only    
  • Registration Package: £210
  • Student Registration Package: £160

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.


Formal Dinner Only
  • Formal Dinner: £50

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.


Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.  Please see the Hotels Combined website for a list of local hotels and guesthouses.




Lunch timings and location will be confirmed with timetable.

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The Formal Dinner will take place TBC at TBC. Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons