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Approximation, sampling, and compression in high dimensional problems


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17th June 2019 to 21st June 2019
Dmitriy Bilyk
Eugenio Hernandez
Alexei Shadrin
Sergey Tikhonov

Workshop Theme 

In a number of problems, both in theory and applications, one faces a situation when the ambient dimension is extremely high. Such problems often include approximating, sampling, or compressing functions on high-dimensional domains. Classical methods fail to be effective in this case due to the effect known as `curse of dimensionality'; hence new tools and algorithms need to be devised. Compressed sensing, which has gained great popularity in this century,  is one example of a circle of ideas which make high-dimensional problems feasible. Methods which allow one to overcome the curse of dimensionality come from a mixture of mathematical fields: approximation, probability, functional and harmonic analysis, linear algebra, combinatorics, geometry, etc. In addition to pure mathematical interest, this field has great importance in numerous applications, in particular in data science and signal processing.  Despite decades of research, many important questions in this area are  still open. This workshop will bring together researchers in pure and applied mathematics, who attack high-dimensional problems. 

Deadline for applications: 22nd April 2019

ASC programme participants DO NOT need to apply, programme participants with visit dates during ASCW03 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.

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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.

Registration and Accommodation
  • Accommodation Package: £560

The Accommodation Package includes a registration fee, bed and breakfast accommodation at Churchill College from the evening of Sunday 16th June 2019 to breakfast on Saturday 22nd June2019, together with lunches and refreshments during the days that lectures take place (Monday - Friday). The formal dinner is also included, but no other evening meals.

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.


Accommodation in single study bedrooms with shared facilities and breakfast are provided at Churchill College,



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 on Wednesday 19th June at Christ's College. 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