0:00:04 | i mean value engineering or not |
---|
0:00:14 | zero |
---|
0:00:16 | the task and complex then it explain emergent macroscopic properties from the interactions of microscopic |
---|
0:00:22 | constituents |
---|
0:00:24 | considered by calibrating it would be most fascinating to understand how our ability to process |
---|
0:00:29 | story information images from the interaction of individual neurons |
---|
0:00:33 | moreover it's kind of knowledge might enable us one day to design a technologies with |
---|
0:00:38 | similar image and capacity |
---|
0:00:41 | when it comes to explain why engineering units |
---|
0:00:43 | one method of choice is to describe the complex system a dynamical network |
---|
0:00:48 | the network to the relation between emergent behaviour and exactly unit translate to the relation |
---|
0:00:54 | between collected dynamics structure |
---|
0:00:57 | in many cases explain the dynamics of phonetic required to consider the global structure however |
---|
0:01:03 | some of the greatest clusters in which finds have reviewed that already local structural properties |
---|
0:01:08 | such as the nodes degree may have to think implications for the local dynamics |
---|
0:01:13 | recently that the scale probably come and focus of network signs |
---|
0:01:17 | coding questions are can considering a multiscale structure such as a single row already and |
---|
0:01:22 | all emotions are properties of the network as a whole |
---|
0:01:25 | can we extract implications independent of embedding wing and which has a structure should be |
---|
0:01:31 | considered |
---|
0:01:32 | in our paper we present an analytical framework which indicates that the answers i |
---|
0:01:39 | and in any case this metric |
---|
0:01:42 | our approach you don't and structure we can be studied in terms of matrix vector |
---|
0:01:47 | okay so that i mean relevant matrix that we matrix was actually contains information about |
---|
0:01:52 | the system's going to behavior |
---|
0:01:54 | okay so the structure the relevant matrix the adjacency matrix spectrum contains information about topological |
---|
0:02:00 | properties |
---|
0:02:02 | recently discovered i think are encoded |
---|
0:02:04 | spectral adjacency matrices have an interesting property |
---|
0:02:08 | not contain several databases symmetry i just adjacency matrix well localised on the top graph |
---|
0:02:14 | sense that all entries corresponding nodes of type of crowd the danish |
---|
0:02:20 | in our paper we shall estimator makes no i'm of the adjacency matrix to look |
---|
0:02:26 | like i was trickling matrix |
---|
0:02:28 | the localized modes i sensitive to the apology on hyperspectral |
---|
0:02:32 | assumption that local authorities at green and contains some matrix of can be analyzed without |
---|
0:02:40 | considering the quality of the embedding that way |
---|
0:02:43 | in practice this means that given a dynamical model number of symmetric topological building blocks |
---|
0:02:50 | we can calculate locations used by each of the building blocks separately adjusting that the |
---|
0:02:55 | low computational cost |
---|
0:02:57 | the results can then be used to approximate or explain about location diagram anymore realisation |
---|
0:03:03 | that contains the symmetric building blocks |
---|
0:03:08 | you know people we illustrate the idea but not exactly like delay is |
---|
0:03:12 | for start compare this morning something like that contains only once in the tree building |
---|
0:03:16 | block the triangle |
---|
0:03:19 | first we calculate and identically the local that is associated to the balloon got about |
---|
0:03:24 | the result to run the location however |
---|
0:03:28 | exactly the location that from a larger network plot of the number of positive eigenvalues |
---|
0:03:33 | of your cooking change colours indicate location |
---|
0:03:39 | the agreement between both not contain that the characteristic somebody used by the semantics of |
---|
0:03:44 | raw indeed explain part of the behaviour of the network |
---|
0:03:48 | okay now with several subjective goals |
---|
0:03:52 | and that's what containing that triangle directed hexagon standard multi is expected to display the |
---|
0:03:58 | egg got their characteristic into the t |
---|
0:04:01 | in the comparison with indirectly contain patient confidence at the characteristic at and used by |
---|
0:04:07 | the difference in the trees are superimposed without interfering |
---|
0:04:12 | right |
---|
0:04:14 | logical way at the nodes we don't a symmetric rows |
---|
0:04:18 | the ability to underline economical application what is our understanding of the robot okay and |
---|
0:04:23 | the functioning of the respective complex systems |
---|
0:04:26 | we see the ability to handle combine topological being well defined dynamically implications they constitute |
---|
0:04:32 | a design future technical systems that exploit intelligence context |
---|