École Normale Supérieure, Paris




The mathematical curse of big data



The world is flooded by digital information, which records complex phenomena involving a large number of variables. Analyzing data amounts to approximate functions from sample values in high dimension. It faces a curse of dimensionality, because the space volume grows exponentially with the dimension. Avoiding this curse will lead us into a mathematical trip, which begins with statistics and probability and goes through functional approximation, harmonic analysis, high dimensional geometry, and group theory.

Despite this mathematical curse, learning algorithms have been considerably improved over the last 10 years, sometimes reaching a remarkable precision. These results are raising challenging mathematical questions which are fully open. Image and audio applications will illustrate the mathematics.


The Catalan Mathematical Society invites participants to this first congress of a biannual series focusing on current research topics across several areas of Mathematics.

Plenary talks and thematic sessions have been selected by the Scientific Committee of the SCM. Special thanks are due to the organisers of the thematic sessions and to the local mathematical community as a whole for their support to this congress.



Societat Catalana de Matemàtiques
Institut d'Estudis Catalans
Carrer del Carme, 47
08001 Barcelona

Phone: +34 933 248 583

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