Dynamic behavior of multi-dimensional chaotic systems based on state variables and unknown parameters with applications in image encryption
Physica Scripta,
Год журнала:
2025,
Номер
100(2), С. 025222 - 025222
Опубликована: Янв. 14, 2025
Abstract
To
explore
the
impact
of
unknown
terms
and
parameters
on
chaotic
characteristics
in
systems,
this
paper
examines
effects
state
variables
parameters.
The
study
focuses
different
combinations
linear,
nonlinear,
constant
It
primarily
investigates
role
multi-order
their
application
to
system
models
varying
dimensions.
Firstly,
by
simulating
a
three-dimensional
system,
analyzes
how
nonlinear
initial
conditions
affect
system's
behavior.
Secondly,
it
evaluates
four-dimensional
combining
with
parameters,
using
tools
such
as
Lyapunov
index
diagrams,
sample
entropy,
dynamic
trajectory
plots.
Finally,
integrates
constructed
mapping
develop
two-level
key
image
encryption
thoroughly
assessing
its
security
resistance
interference.
Язык: Английский
A comparative analysis of LSTM, GRU, and Transformer models for construction cost prediction with multidimensional feature integration
Journal of Asian Architecture and Building Engineering,
Год журнала:
2025,
Номер
unknown, С. 1 - 16
Опубликована: Янв. 18, 2025
Construction
cost
prediction
remains
a
complex
challenge
due
to
the
multidimensional
nature
of
construction
data
and
external
factors.
The
objective
this
study
is
identify
most
effective
deep
learning
model
for
accurately
predicting
costs
by
comparing
performance
LSTM,
GRU,
Transformer
models.
Long
Short-Term
Memory
(LSTM),
Gated
Recurrent
Unit
(GRU),
are
advanced
machine
regression
models
widely
utilized
tasks.
This
investigates
these
models'
using
feature
framework.
Through
comprehensive
evaluation
comparison,
demonstrated
superior
performance,
particularly
excelling
in
handling
interactions
long-sequence
data.
LSTM
model,
while
capturing
temporal
dependencies,
shows
reliable
but
lags
behind
accuracy.
GRU
although
faster
training,
proved
less
accurate
outliers.
Key
features
such
as
Total
Area
(TA),
Site
(SA),
Number
Floors
(NF)
were
identified
significant
predictors
across
all
models,
with
proving
adept
at
interactions.
By
integrating
features,
contributes
improved
management,
thereby
enhancing
accuracy
reliability.
Язык: Английский
GHENet: Attention-based Hurst exponents for the forecasting of stock market indexes
Physica A Statistical Mechanics and its Applications,
Год журнала:
2025,
Номер
unknown, С. 130540 - 130540
Опубликована: Март 1, 2025
Язык: Английский
Machine Learning Models Informed by Connected Mixture Components for Short- and Medium-Term Time Series Forecasting
AI,
Год журнала:
2024,
Номер
5(4), С. 1955 - 1976
Опубликована: Окт. 22, 2024
This
paper
presents
a
new
approach
in
the
field
of
probability-informed
machine
learning
(ML).
It
implies
improving
results
ML
algorithms
and
neural
networks
(NNs)
by
using
probability
models
as
source
additional
features
situations
where
it
is
impossible
to
increase
training
datasets
for
various
reasons.
We
introduce
connected
mixture
components
information
that
can
be
extracted
from
mathematical
model.
These
are
formed
special
algorithm
merging
parameters
sliding
window
mode.
has
been
proven
effective
when
applied
real-world
time
series
data
short-
medium-term
forecasting.
In
all
cases,
informed
showed
better
than
those
did
not
use
them,
although
different
may
datasets.
The
fundamental
novelty
research
lies
both
informing
demonstrated
forecasting
accuracy
applications.
For
geophysical
spatiotemporal
data,
decrease
Root
Mean
Square
Error
(RMSE)
was
up
27.7%,
reduction
Absolute
Percentage
(MAPE)
45.7%
compared
with
without
informing.
best
metrics
values
were
obtained
an
ensemble
architecture
fuses
Long
Short-Term
Memory
(LSTM)
network
transformer.
Squared
(MSE)
electricity
transformer
oil
temperature
ETDataset
had
improved
10.0%
vanilla
methods.
MSE
value
random
forest.
introduced
allows
us
outperform
NN
architectures
classical
statistical
Язык: Английский
The Time Series Classification of Discrete-Time Chaotic Systems Using Deep Learning Approaches
Mathematics,
Год журнала:
2024,
Номер
12(19), С. 3052 - 3052
Опубликована: Сен. 29, 2024
Discrete-time
chaotic
systems
exhibit
nonlinear
and
unpredictable
dynamic
behavior,
making
them
very
difficult
to
classify.
They
have
properties
such
as
the
stability
of
equilibrium
points,
symmetric
behaviors,
a
transition
chaos.
This
study
aims
classify
time
series
images
discrete-time
by
integrating
deep
learning
methods
classification
algorithms.
The
most
important
innovation
this
is
use
unique
dataset
created
using
systems.
In
context,
large
representing
various
behaviors
was
for
nine
different
initial
conditions,
control
parameters,
iteration
numbers.
based
on
existing
system
solutions
in
literature,
but
structures
these
much
more
complex
than
ordinary
image
datasets
due
their
nature.
Although
there
are
studies
literature
continuous-time
systems,
no
been
found
obtained
were
classified
with
models
DenseNet121,
VGG16,
VGG19,
InceptionV3,
MobileNetV2,
Xception.
addition,
integrated
algorithms
XGBOOST,
k-NN,
SVM,
RF,
providing
methodological
innovation.
As
best
result,
95.76%
accuracy
rate
DenseNet121
model
XGBOOST
algorithm.
takes
graphical
representations
an
advanced
level
provides
powerful
tool
respect,
classifying
offers
adapting
datasets.
findings
thought
provide
new
perspectives
future
research
further
advance
studies.
Язык: Английский
KRC-APM: Key region cutting and artificial prior model for breast cancer recognition in ultrasound images
Expert Systems with Applications,
Год журнала:
2024,
Номер
257, С. 125092 - 125092
Опубликована: Авг. 13, 2024
Язык: Английский
Uncertainty Quantification Method for Trend Prediction of Oil Well Time Series Data Based on SDMI Loss Function
Processes,
Год журнала:
2024,
Номер
12(12), С. 2642 - 2642
Опубликована: Ноя. 23, 2024
IoT
sensors
in
oilfields
gather
real-time
data
sequences
from
oil
wells.
Accurate
trend
predictions
of
these
are
crucial
for
production
optimization
and
failure
forecasting.
However,
well
time
series
exhibit
strong
nonlinearity,
requiring
not
only
precise
prediction
but
also
the
estimation
uncertainty
intervals.
This
paper
first
proposed
a
denoising
method
based
on
Variational
Mode
Decomposition
(VMD)
Long
Short-Term
Memory
(LSTM)
to
reduce
noise
present
data.
Subsequently,
an
SDMI
loss
function
was
introduced,
combining
respective
advantages
Soft
Dynamic
Time
Warping
Mean
Squared
Error
(MSE).
The
additionally
accepts
upper
lower
bounds
interval
as
input
is
optimized
with
sequence.
By
predicting
next
48
points,
results
using
existing
three
common
functions
compared
multiple
sets.
before
after
shown.
experimental
demonstrate
that
average
coverage
rate
predicted
intervals
across
seven
wells
81.4%,
accurately
reflect
trends
real
Язык: Английский