QLS Seminar- Wed. 28 February at 10:00am - "Fast renormalizing the structures and dynamics of ultra-large systems via random renormalization group" by Yizhou Xu

[Quantitative Life Sciences]

Dear All,

On Wednesday, 28 February at 10:00 CET, Yizhou Xu (Tsinghua University, 
China.) will give a seminar titled:

*Fast renormalizing the structures and dynamics of ultra-large systems 
via random renormalization group
*

_Abstract:_

Criticality and symmetry, studied by the renormalization groups, lie at 
the heart of modern physics theories of matters and complex systems. 
However, surveying these properties with massive experimental data is 
bottlenecked by the intolerable costs of computing renormalization 
groups on real systems. Here, we develop a time- and memory-efficient 
framework, termed as the random renormalization group, for renormalizing 
ultra-large systems (e.g., with millions of units) within minutes. This 
framework is based on random projections, hashing techniques, and kernel 
representations, which support the renormalization governed by linear 
and non-linear correlations. For system structures, it exploits the 
correlations among local topology in kernel spaces to unfold the 
connectivity of units, identify intrinsic system scales, and verify the 
existences of symmetries under scale transformation. For system 
dynamics, it renormalizes units into correlated clusters to analyze 
scaling behaviours, validate scaling relations, and investigate 
potential criticality. Benefiting from hashing-function-based designs, 
our framework significantly reduces computational complexity compared 
with classic renormalization groups, realizing a single-step 
acceleration of two orders of magnitude. Meanwhile, the efficient 
representation of different kinds of correlations in kernel spaces 
realized by random projections ensures the capacity of our framework to 
capture diverse unit relations. As shown by our experiments, the random 
renormalization group helps identify non-equilibrium phase transitions, 
criticality, and symmetry in diverse large-scale genetic, neural, 
material, social, and cosmological systems.
_
_
_The seminar will take place in the *Common area*, Ex SISSA building, 
Second floor, via Beirut 2
_ _
_Indico webpage: https://indico.ictp.it/event/10661/
__
You are all most welcome to attend!

Best regards,
Erica

-- 
Erica Sarnataro
Group Secretary
Quantitative Life Sciences
The Abdus Salam International Centre for Theoretical Physics (ICTP)
Trieste,  Italy
Tel. +39-040-2240623
www.ictp.it/research/qls.aspx
e-mail:qls at ictp.it