i mean value engineering or not
zero
the task and complex then it explain emergent macroscopic properties from the interactions of microscopic
constituents
considered by calibrating it would be most fascinating to understand how our ability to process
story information images from the interaction of individual neurons
moreover it's kind of knowledge might enable us one day to design a technologies with
similar image and capacity
when it comes to explain why engineering units
one method of choice is to describe the complex system a dynamical network
the network to the relation between emergent behaviour and exactly unit translate to the relation
between collected dynamics structure
in many cases explain the dynamics of phonetic required to consider the global structure however
some of the greatest clusters in which finds have reviewed that already local structural properties
such as the nodes degree may have to think implications for the local dynamics
recently that the scale probably come and focus of network signs
coding questions are can considering a multiscale structure such as a single row already and
all emotions are properties of the network as a whole
can we extract implications independent of embedding wing and which has a structure should be
considered
in our paper we present an analytical framework which indicates that the answers i
and in any case this metric
our approach you don't and structure we can be studied in terms of matrix vector
okay so that i mean relevant matrix that we matrix was actually contains information about
the system's going to behavior
okay so the structure the relevant matrix the adjacency matrix spectrum contains information about topological
properties
recently discovered i think are encoded
spectral adjacency matrices have an interesting property
not contain several databases symmetry i just adjacency matrix well localised on the top graph
sense that all entries corresponding nodes of type of crowd the danish
in our paper we shall estimator makes no i'm of the adjacency matrix to look
like i was trickling matrix
the localized modes i sensitive to the apology on hyperspectral
assumption that local authorities at green and contains some matrix of can be analyzed without
considering the quality of the embedding that way
in practice this means that given a dynamical model number of symmetric topological building blocks
we can calculate locations used by each of the building blocks separately adjusting that the
low computational cost
the results can then be used to approximate or explain about location diagram anymore realisation
that contains the symmetric building blocks
you know people we illustrate the idea but not exactly like delay is
for start compare this morning something like that contains only once in the tree building
block the triangle
first we calculate and identically the local that is associated to the balloon got about
the result to run the location however
exactly the location that from a larger network plot of the number of positive eigenvalues
of your cooking change colours indicate location
the agreement between both not contain that the characteristic somebody used by the semantics of
raw indeed explain part of the behaviour of the network
okay now with several subjective goals
and that's what containing that triangle directed hexagon standard multi is expected to display the
egg got their characteristic into the t
in the comparison with indirectly contain patient confidence at the characteristic at and used by
the difference in the trees are superimposed without interfering
right
logical way at the nodes we don't a symmetric rows
the ability to underline economical application what is our understanding of the robot okay and
the functioning of the respective complex systems
we see the ability to handle combine topological being well defined dynamically implications they constitute
a design future technical systems that exploit intelligence context