Scientific Reports,
Journal Year:
2022,
Volume and Issue:
12(1)
Published: Oct. 20, 2022
As
an
intuitive
description
of
complex
physical,
social,
or
brain
systems,
networks
have
fascinated
scientists
for
decades.
Recently,
to
abstract
a
network's
topological
and
dynamical
attributes,
network
representation
has
been
prevalent
technique,
which
can
map
substructures
(like
nodes)
into
low-dimensional
vector
space.
Since
its
mainstream
methods
are
mostly
based
on
machine
learning,
black
box
input-output
data
fitting
mechanism,
the
learned
vector's
dimension
is
indeterminable
elements
not
interpreted.
Although
massive
efforts
cope
with
this
issue
included,
say,
automated
learning
by
computer
theory
mathematicians,
root
causes
still
remain
unresolved.
Consequently,
enterprises
need
spend
enormous
computing
resources
work
out
set
model
hyperparameters
that
bring
good
performance,
business
personnel
finds
difficulties
in
explaining
practical
meaning.
Given
that,
from
physical
perspective,
article
proposes
two
determinable
interpretable
node
methods.
To
evaluate
their
effectiveness
generalization,
Adaptive
Interpretable
ProbS
(AIProbS),
network-based
utilize
representations
link
prediction.
Experimental
results
showed
AIProbS
reach
state-of-the-art
precision
beyond
baseline
models
some
small
whose
distribution
training
test
sets
usually
unified
enough
perform
well.
Besides,
it
make
trade-off
precision,
determinacy
(or
robustness),
interpretability.
In
practice,
contributes
industrial
companies
without
but
who
pursue
during
early
stage
development
require
high
interpretability
better
understand
carry
business.
Electronics,
Journal Year:
2024,
Volume and Issue:
13(10), P. 1990 - 1990
Published: May 20, 2024
The
scope
of
complex
dynamical
networks
(CDNs)
with
dynamic
edges
is
very
wide,
as
it
composed
a
class
realistic
including
web-winding
systems,
communication
networks,
neural
etc.
However,
classic
research
topic
in
CDNs,
the
synchronization
control
problem,
has
not
been
effectively
solved
for
CDNs
edges.
This
paper
will
investigate
emergence
mechanism
from
perspective
large-scale
systems.
Firstly,
CDN
conceptualized
an
interconnected
coupled
system
edge
subsystem
(ES)
and
node
(NS).
Then,
based
on
proposed
improved
directed
matrix
ES
model
expanded
inequality,
this
overcomes
limitations
coupling
term
design
models
strong
correlation
tracking
targets
between
nodes
Due
to
effect
synthesized
controller
auxiliary
ES,
state
can
be
realized
CDN.
Finally,
through
simulation
examples,
validity
advantages
our
work
compared
existing
methods
are
demonstrated.
Scientific Reports,
Journal Year:
2022,
Volume and Issue:
12(1)
Published: Oct. 20, 2022
As
an
intuitive
description
of
complex
physical,
social,
or
brain
systems,
networks
have
fascinated
scientists
for
decades.
Recently,
to
abstract
a
network's
topological
and
dynamical
attributes,
network
representation
has
been
prevalent
technique,
which
can
map
substructures
(like
nodes)
into
low-dimensional
vector
space.
Since
its
mainstream
methods
are
mostly
based
on
machine
learning,
black
box
input-output
data
fitting
mechanism,
the
learned
vector's
dimension
is
indeterminable
elements
not
interpreted.
Although
massive
efforts
cope
with
this
issue
included,
say,
automated
learning
by
computer
theory
mathematicians,
root
causes
still
remain
unresolved.
Consequently,
enterprises
need
spend
enormous
computing
resources
work
out
set
model
hyperparameters
that
bring
good
performance,
business
personnel
finds
difficulties
in
explaining
practical
meaning.
Given
that,
from
physical
perspective,
article
proposes
two
determinable
interpretable
node
methods.
To
evaluate
their
effectiveness
generalization,
Adaptive
Interpretable
ProbS
(AIProbS),
network-based
utilize
representations
link
prediction.
Experimental
results
showed
AIProbS
reach
state-of-the-art
precision
beyond
baseline
models
some
small
whose
distribution
training
test
sets
usually
unified
enough
perform
well.
Besides,
it
make
trade-off
precision,
determinacy
(or
robustness),
interpretability.
In
practice,
contributes
industrial
companies
without
but
who
pursue
during
early
stage
development
require
high
interpretability
better
understand
carry
business.