Indonesian
J
our
nal
of
Electrical
Engineering
and
Computer
Science
V
ol.
43,
No.
1,
July
2026,
pp.
314
∼
324
ISSN:
2502-4752,
DOI:
10.11591/ijeecs.v43.i1.pp314-324
❒
314
Lay
er
-wise
adapti
v
e
structur
ed
pruning
via
genetic
algorithms
with
taylor
-based
pr
oxy
tness
Anh-T
ruong
V
o
1,2
,
Hoang-Loc
T
ran
1,2
,
Dinh-Duy
Phan
1,2
,
Duc-Lung
V
u
1,2
1
F
aculty
of
Computer
Engineering,
Uni
v
ersity
of
Information
T
echnology
,
Ho
Chi
Minh
City
,
V
ietnam
2
V
ietnam
National
Uni
v
ersity
,
Ho
Chi
Minh
City
,
V
ietnam
Article
Inf
o
Article
history:
Recei
v
ed
Feb
7,
2026
Re
vised
Jun
6,
2026
Accepted
Jun
27,
2026
K
eyw
ords:
Layer
collapse
Model
compression
Multi-objecti
v
e
optimization
Neural
architecture
search
NSGA-II
Structured
pruning
T
aylor
e
xpansion
ABSTRA
CT
Deplo
ying
deep
con
v
olutional
neural
netw
orks
(CNNs)
on
edge
de
vices
requires
balancing
model
accurac
y
and
computational
ef
cienc
y
.
While
structured
prun-
ing
limits
inference
costs
by
remo
ving
re
dundant
lters,
most
methods
apply
a
rigid,
global
criterion,
ignoring
t
he
distinct
representational
roles
of
indi
vidual
layers.
This
yields
suboptimal
results,
especially
under
aggressi
v
e
compres-
sion
where
o
v
er
-pruning
de
grades
performance
.
T
o
address
this
limitation,
we
propose
an
adapti
v
e
structured
pruning
frame
w
ork
based
on
genetic
algorithms
(GAs)
that
jointly
optimizes
layer
-wise
pruning
ratios
and
strate
gies.
Each
layer
independently
selects
between
min-importance
and
median-rank
pruning,
en-
abling
the
e
xploration
of
tail
ored
strate
gy
combinations.
A
training-free
taylor
-
based
proxy
tness
function
ensures
ef
ci
ent
candidate
e
v
aluation
without
re-
peated
ne-tuning.
Aft
er
ne-tuning
the
selected
architecture,
e
xperiments
on
V
GG16
demonstrate
that
our
method
achie
v
es
92.78
±
0.28%
accurac
y
(o
v
er
50
independent
runs)
with
a
70.0
±
3.2%
MA
Cs
reduction
on
CIF
AR-10,
and
main-
tains
71.82%
accurac
y
on
CIF
AR-100.
These
results
demonstrate
competiti
v
e
performance
compared
to
e
xisting
pruning
methods
while
achie
ving
substantial
computational
cost
reduction.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
Duc-Lung
V
u
F
aculty
of
Computer
Engineering,
Uni
v
ersity
of
Information
T
echnology
Ho
Chi
Minh
City
,
V
ietnam
Email:
lungvd@uit.edu.vn
1.
INTR
ODUCTION
In
the
era
of
ubiquitous
articial
intelligence,
deep
con
v
olutional
neural
netw
orks
(CNNs)
dri
v
e
s
tate-
of-the-art
computer
vision
systems.
Ho
we
v
er
,
popular
architectures
lik
e
V
GG16
[1]
and
ResNet
[2]
demand
billions
of
oating-point
operations
(FLOPs)
and
millions
of
parameters
per
inference.
This
mismatch
between
modern
deep
model
comple
xity
and
the
limited
resources
of
edge
de
vice
constitutes
a
critical
deplo
yment
bottleneck
[3]-[5].
T
o
address
these
constraints,
structured
pruning
(lter
or
channel
pruning)
has
emer
ged
as
a
prominent
model
compression
technique.
By
ph
ysically
eliminating
redundant
lters,
it
directly
reduces
memory
footprint
and
inference
latenc
y
on
general-purpose
hardw
are
without
specialized
sparse
computation
support
[6].
Despite
its
potential,
current
structured
pruning
f
aces
tw
o
primary
limitations.
First,
most
methods
utilize
rigid
heuristic
strate
gies
(e.g.,
L1-norm
[7])
or
uniform
pruning
ratios
globally
.
This
ignores
di
v
erse
layer
roles—shallo
w
layers
capture
lo
w-le
v
el
te
xtures,
while
deeper
layers
encode
semantic
abstractions—causing
suboptimal
feature
preserv
ation.
Second,
e
v
aluation
inef
ci
enc
y
plagues
automated
frame
w
orks
lik
e
AMC
[8],
J
ournal
homepage:
http://ijeecs.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
315
which
require
computationally
prohibiti
v
e
ne-tuning
to
e
v
aluate
candidates.
Furthermore,
aggressi
v
e
global
compression
can
completely
eliminate
lters
in
certain
layers,
causing
layer
collapse
and
emphasizing
the
need
for
adapti
v
e
pruning
decisions.
T
o
o
v
ercome
the
constraints
of
x
ed
global
criteria,
we
address
adapti
v
e
layer
-wise
strate
gy
selec
tion
as
a
lar
gely
undere
xplored
area.
W
e
propose
an
adapti
v
e
structured
pruning
frame
w
ork
based
on
genetic
algo-
rithms
(GAs)
[9].
Our
method
introduces
a
layer
-wise
h
ybrid
strate
gy
space,
e
n
a
bling
each
layer
to
indepen-
dently
select
between
min-importance
pruning
and
median-rank
pruning.
The
pruning
process
is
for
mulated
as
single-objecti
v
e
and
multi-objecti
v
e
optimization
problems,
e
xplicitly
balancing
accurac
y
,
MA
Cs,
and
model
size.
T
o
bypass
costly
ne-tuning,
candidate
architectures
are
e
v
aluated
using
a
training-free
taylor
-based
proxy
tness
function
deri
v
ed
from
pre-computed
rst-order
importance
scores.
The
main
contrib
utions
are:
−
A
no
v
el
layer
-wise
h
ybrid
search
space:
we
introduce
a
dual-v
ariable
space
that
jointly
optimizes
pruning
ratios
and
strat
e
gi
es
(min-importance
vs.
median-rank)
per
l
ayer
,
unlik
e
con
v
entional
methods
conned
to
optimizing
ratios
under
a
x
ed
criterion.
−
T
opology-preserving
constrained
optimization:
we
frame
pruning
as
a
constrained
multi-objecti
v
e
problem,
enforcing
structural
constraints
ac
ross
the
decoding
and
tness
e
v
aluation
phases
to
maintain
topological
connecti
vity
and
pre
v
ent
layer
collapse
under
aggressi
v
e
compression.
−
Adapti
v
e
strate
gy
disco
v
ery:
our
frame
w
ork
autonomously
identies
h
ybrid
strate
gies
balancing
ef
cienc
y
and
feature
preserv
ation.
Ov
er
50
independent
runs,
the
multi-objecti
v
e
v
ariant
achie
v
ed
92.78
±
0.28%
accurac
y
while
reducing
MA
Cs
by
70.0
±
3.2%.
T
o
our
kno
wledge,
this
w
ork
is
among
the
rst
pruning
frame
w
orks
that
jointly
optimize
layer
-wise
pruning
ratios
and
pruning
strate
gies
using
e
v
olutionary
multi-objecti
v
e
optimization.
2.
RELA
TED
W
ORK
2.1.
Structur
ed
pruning
f
or
efcient
deep
netw
orks
Among
v
arious
model
compression
techniques,
structured
pruning
has
g
ained
particular
attention
for
edge
deplo
yment
[6],
[10]
because
it
ph
ysically
remo
v
es
redundant
lters
or
channels,
achie
ving
direct
re-
ductions
in
memory
footprint
and
inference
latenc
y
on
general-purpose
hardw
are
without
requiring
sparse
computation
support.
A
central
challenge
in
structured
pruning
is
identifying
redundant
or
unimportant
lters.
Early
ap-
proaches
relied
on
heuristic
metrics
such
as
weight
magnitude,
with
L1-norm
pruning
[7]
assuming
that
lters
with
small
weights
contrib
ute
less
to
model
performance.
Subsequent
w
orks
proposed
data-dri
v
en
criteria
to
better
capture
fe
ature
redundanc
y
.
ThiNet
[11]
prunes
lters
bas
ed
on
statistics
from
the
ne
xt
layer
,
while
net-
w
ork
slimming
[12]
le
v
erages
channel-wise
scaling
f
actors
from
batch
normalization.
FPGM
[13]
introduces
a
geometric
median-based
criterion
for
lter
selection.
F
or
e
xample,
HRank
[14]
measures
the
rank
of
feature
maps
to
estimate
l
ter
importance,
while
Molchano
v
et
al.
[15],
[16]
introduced
a
theoretically
grounded
cri-
terion
based
on
the
rs
t-order
taylor
e
xpansion
of
the
loss
function,
approximated
by
the
product
of
acti
v
ation
and
gradient
magnitude.
Despite
theoretical
adv
ances
such
as
the
Lottery
T
ick
et
Hypothesis
[17]
and
pruning
at
initiali
zation
[18],
and
the
observ
ation
by
Liu
et
al.
[19]
that
pruned
architectures
can
be
retrained
from
scratch
with
compet-
iti
v
e
performance,
most
e
xisting
pruning
methods
still
apply
importance
criteria
in
a
greedy
or
globally
uniform
manner
,
ignoring
that
dif
ferent
layers
require
distinct
preserv
ation
strate
gies.
2.2.
A
utomated
pruning
via
sear
ch
T
o
a
v
oid
manual
tuning
of
per
-layer
pruning
ratios,
recent
studi
es
ha
v
e
e
xplored
automated
pruning
frame
w
orks
based
on
search
or
optimization.
AMC
[8]
formulates
s
tructured
pruning
as
a
reinforce-
ment
learning
problem,
where
an
agent
learns
layer
-wise
compression
ratios.
While
ef
fecti
v
e,
AMC
relies
on
ne-tuning-based
re
w
ard
e
v
aluation,
resulting
in
substantial
computational
cost.
ABCPruner
[20]
further
models
channel
pruning
as
an
optimization-based
structure
search
problem,
enabling
e
xible
e
xploration
of
the
pruning
space.
Similarly
,
Feng
et
al.
[21]
propose
a
task-dri
v
en
sparsity
approach
that
automatically
learns
layer
-wise
pruning
rules
via
a
dif
ferentiable
search
mechanism,
reducing
the
reliance
on
manually
designed
criteria.
Layer
-wise
adaptive
structur
ed
pruning
via
g
enetic
algorithms
with
taylor
...
(Anh-T
ruong
V
o)
Evaluation Warning : The document was created with Spire.PDF for Python.
316
❒
ISSN:
2502-4752
T
o
reduce
e
v
aluation
cost,
proxy-based
methods
ha
v
e
been
proposed.
EagleEye
[22]
estimates
sub-
netw
ork
accurac
y
without
full
training
by
le
v
eraging
adapti
v
e
batch
normalization
statistics,
signicantly
accel-
erating
the
search
process.
MetaPruning
[23]
uses
meta-learning
to
generate
pruned
netw
ork
weights
directly
,
while
once-for
-all
(OF
A)
[24]
trains
a
single
super
-netw
ork
that
can
be
specialized
for
di
v
erse
deplo
yment
scenarios.
Ef
cient
netw
ork
design
has
also
been
adv
anced
by
architectures
such
as
MobileNetV2
[25]
and
Ef
cientNet
[26],
which
incorporate
ef
cient
b
uilding
blocks.
Despite
these
adv
ances,
most
automated
prun-
ing
methods
primarily
focus
on
optimizing
ho
w
much
to
prune
per
layer
,
while
implicitly
assuming
a
x
ed
pruning
criterion
(e.g.,
L1-norm)
throughout
the
netw
ork.
Moreo
v
er
,
prior
e
v
olutionary
approaches
typically
formulate
pruning
as
a
single-objecti
v
e
problem
(e.g.,
maximizing
accurac
y
under
a
FLOPs
constraint).
While
recent
w
orks
ha
v
e
be
gun
e
xploring
multi-
objecti
v
e
e
v
olutionary
pruning
[27],
[28],
these
methods
primarily
search
for
pruning
ratios
under
a
x
ed,
globally
uniform
criterion.
In
contrast,
our
w
ork
emplo
ys
multi-obj
ecti
v
e
optimization
(MOO)
to
jointly
e
xplore
both
pruning
ratios
and
per
-layer
pruning
strate
gies,
e
xplicitly
trading
of
f
accurac
y
,
ef
cienc
y
,
and
model
size.
2.3.
Gap
analysis
and
moti
v
ation
Despite
recent
adv
ances
in
automated
pruning,
e
xisting
methods
still
f
ace
limitations
in
both
the
design
of
the
pruning
search
space
and
the
ef
cienc
y
of
candidate
e
v
aluation
during
the
search
process.
−
Rigidity
of
global
pruning
criteria:
while
automated
frame
w
orks
lik
e
AMC
[8]
and
ABCPruner
[20]
can
search
for
distinct
layer
-wise
ratios,
the
y
typically
rely
on
a
globally
uniform
pruning
criterion
across
all
layers.
Such
a
uniform
pruning
criterion
may
not
fully
account
for
the
heterogeneous
representational
roles
of
shallo
w
and
deep
layers.
Consequently
,
the
search
process
often
focuses
primari
ly
on
optimizing
ho
w
much
to
prune,
while
the
choice
of
ho
w
to
prune
is
usually
predened.
−
High
search
latenc
y
and
e
v
aluation
challenges:
e
v
olutionary
and
re
inforcement
learning-based
pruning
methods
often
incur
high
computational
costs
due
to
repeated
ne-tuning
or
v
alidation
c
ycles.
Proxy-based
strate
gies,
such
as
EagleEye
[22],
mitig
ate
this
b
urden
by
estimating
sub-netw
ork
performance
without
full
retraining.
Ho
we
v
er
,
these
approaches
typically
require
a
calibration
phase
to
recompute
batch
normaliza-
tion
statist
ics
through
se
v
eral
forw
ard
passes
on
a
calibration
set
for
each
candidate
sub-netw
ork.
While
relati
v
ely
lightweight,
this
additional
s
tep
can
introduce
non-ne
gligible
cumulati
v
e
latenc
y
when
e
v
aluating
a
lar
ge
population
of
candidates
in
e
xtensi
v
e
search
spaces.
Our
moti
v
ation.
These
li
mitations
moti
v
ate
the
de
v
elopment
of
a
frame
w
ork
that
jointly
optimizes
ho
w
much
to
prune
and
ho
w
to
prune
at
each
layer
.
By
inte
grating
a
h
ybrid
strate
gy
space
with
a
training-
free
T
aylor
-based
proxy
,
we
aim
to
pro
vide
an
ef
cient,
adapti
v
e,
and
topology-preserving
solution
for
model
compression.
3.
METHOD
T
o
address
CNN
resource
optimization,
this
study
rst
in
v
estig
ates
global
pruning
strate
gies
to
identify
structural
limitations,
then
proposes
a
GA
frame
w
ork
[9]
that
jointly
searches
layer
-wise
pruning
ratios
and
pruning
strate
gies.
3.1.
Pr
eliminary
study
on
global
strategies
W
e
empirically
e
v
aluate
global
structured
pruning
to
analyze
the
impact
of
lter
selection
c
riteria.
The
importance
score
I
(
f
i
)
for
each
lter
f
i
in
V
GG16
relies
on
the
rst-order
taylor
e
xpansion
[15],
[16].
W
e
e
v
aluated
three
selection
strate
gies:
min-importance
prunes
lo
west-score
lters
to
preserv
e
sensi-
ti
v
e
features;
max-importance
prunes
highest-score
lters
(h
ypothesizing
the
y
cause
o
v
ertting);
and
median-
rank
preserv
es
lters
representing
the
central
tendenc
y
⌊
N
−
k
2
⌋
,
⌊
N
+
k
2
⌋
.
Our
proposed
h
ybrid
strate
gy
balances
immediate
accurac
y
with
global
netw
ork
inte
grity
.
While
min-
importance
maintains
accurac
y
in
high-v
ariance
layers,
its
rigid
application
in
deep,
attenuated
layers
causes
layer
collapse
.
Consequently
,
median-rank
serv
es
as
a
distrib
utional
re
gularizer
,
maintaining
feature
di
v
ersity
and
topological
connecti
vity
.
This
dual
space
lets
the
GA
adapti
v
ely
determine
optimal
layer
-wise
trade-of
fs.
Quantitati
v
e
analysis
of
layer
-wise
score
imbalance:
T
o
understand
the
f
ailure
of
global
thresholds
in
deep
layers,
we
analyzed
the
statistical
distrib
ution
of
taylor
importance
scores
across
all
13
con
v
olutional
layers
of
V
GG16
(T
able
1).
Indonesian
J
Elec
Eng
&
Comp
Sci,
V
ol.
43,
No.
1,
July
2026:
314–324
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
317
T
able
1.
Distrib
ution
of
taylor
scores
across
all
V
GG16
con
v
olutional
layers
(calculated
via
a
representati
v
e
pre-computation
pass
on
a
CIF
AR-10
data
batch)
Layer
M
ax
score
Min
score
Mean
score
Std.
De
v
Attenuation
(vs.
L00
Peak)
Layer
00
(Con
v1
1)
0.5680
0.0001
0.0768
0.0986
1.000
(100.0%)
Layer
01
(Con
v1
2)
0.4023
0.0005
0.0956
0.0805
0.708
(70.8%)
Layer
02
(Con
v2
1)
0.3023
0.0003
0.0692
0.0550
0.532
(53.2%)
Layer
03
(Con
v2
2)
0.3049
0.0006
0.0680
0.0564
0.537
(53.7%)
Layer
04
(Con
v3
1)
0.3067
0.0001
0.0474
0.0408
0.540
(54.0%)
Layer
05
(Con
v3
2)
0.2568
0.0003
0.0487
0.0392
0.452
(45.2%)
Layer
06
(Con
v3
3)
0.2325
0.0001
0.0487
0.0392
0.409
(40.9%)
Layer
07
(Con
v4
1)
0.1899
0.0000
0.0334
0.0290
0.334
(33.4%)
Layer
08
(Con
v4
2)
0.1840
0.0001
0.0334
0.0289
0.324
(32.4%)
Layer
09
(Con
v4
3)
0.1737
0.0000
0.0346
0.0275
0.306
(30.6%)
Layer
10
(Con
v5
1)
0.5022
0.0000
0.0291
0.0332
0.884
(88.4%)
Layer
11
(Con
v5
2)
0.1570
0.0001
0.0354
0.0265
0.276
(27.6%)
Layer
12
(Con
v5
3)
0.0703
0.0256
0.0437
0.0066
0.124
(12.4%)
Empirical
data
re
v
eals
stark
v
ariance
in
feature
importance
distrib
ution.
High-v
ariance
layers:
earl
y
layers
(e.g.,
Layer
00)
and
specic
intermediate
layers
e
xhibit
high
max-to-mean
v
ariance,
containing
a
fe
w
dominating
lters
with
e
xceptionally
high
scores
(
∼
0.50–0.57).
Signal
attenuation:
the
deepest
layer
(layer
12)
suf
fers
from
e
xtreme
score
attenuation.
Its
maximum
taylor
score
(
0
.
0703
)
is
nearly
8
×
lo
wer
than
that
of
Layer
00,
representing
a
relati
v
e
attenuation
of
just
12
.
4
%.
Its
v
ariance
is
e
xtremely
tight
(std
=
0
.
0066
),
meaning
the
scores
are
uniformly
distrib
uted
near
zero.
This
se
v
ere
disparity
creates
a
conict
for
global
criteria.
A
modest
global
re
tention
threshold
of
0
.
10
w
ould
catastrophically
eliminate
e
v
ery
lter
in
layer
12
(max
score
=
0
.
0703
),
despite
its
critical
high-le
v
el
semantic
features.
This
phenomenon,
termed
layer
collapse,
e
xposes
the
limits
of
rigid
global
heuristics
and
moti
v
ates
our
adapti
v
e,
multi-objecti
v
e
search.
T
o
address
this
limitation,
Figure
1
illustrates
the
o
v
erall
w
orko
w
of
the
proposed
adapti
v
e
GA-based
pruning
frame
w
ork.
Figure
2
sho
ws
the
NSGA-II
P
areto
front,
illustrating
the
trade-of
f
between
compression
and
accurac
y
used
to
select
the
optimal
pruning
solution.
Figure
1.
Ov
ervie
w
of
the
proposed
multi-objecti
v
e
e
v
olutionary
pruning
frame
w
ork.
The
pipeline
consists
of
three
stages:
(1)
Pre-computation:
lter
importance
scores
are
estimated
once
via
T
aylor
e
xpansion
and
cached
as
a
lookup
table
for
training-free
proxy
e
v
aluation.
(2)
NSGA-II
Search:
candidate
pruning
policies—each
encoding
layer
-wise
pruning
ratios
and
strate
gies
(min-importance
or
median-rank)—are
e
v
olv
ed
and
e
v
aluated
ag
ainst
three
objecti
v
es:
proxy
tness,
MA
Cs,
and
con
v
olutional
parameters.
(3)
Decision
and
deplo
yment:
a
knee-point
solution
is
selected
from
the
resulting
P
areto
front
and
ne-tuned
with
kno
wledge
distillation
to
produce
the
compact
model.
Layer
-wise
adaptive
structur
ed
pruning
via
g
enetic
algorithms
with
taylor
...
(Anh-T
ruong
V
o)
Evaluation Warning : The document was created with Spire.PDF for Python.
318
❒
ISSN:
2502-4752
Figure
2.
NSGA-II
P
areto
front
on
CIF
AR-10
(representati
v
e
run).
Each
point
is
a
non-dominated
pruning
conguration.
The
front
re
v
eals
a
clear
compression–accurac
y
trade-of
f:
solutions
to
w
ard
the
lo
wer
-left
achie
v
e
aggressi
v
e
compression
at
reduced
proxy
tness,
while
those
to
w
ard
the
upper
-right
preserv
e
higher
tness
at
greater
parameter
cost.
The
knee
point
identies
the
architecture
of
fering
the
best
balance
between
ef
cienc
y
and
accurac
y
preserv
ation,
selected
for
subsequent
ne-tuning.
3.2.
Sear
ch
space
and
lay
er
-wise
adapti
v
e
pruning
policy
Unlik
e
most
e
xisting
automated
pruning
methods
that
primarily
search
for
pruning
ratios,
our
frame-
w
ork
introduces
a
dual
search
space
that
jointly
optimizes
pruning
ratios
(ho
w
much
t
o
prune)
and
pruning
strate
gies
(ho
w
to
prune).
Gi
v
en
a
CNN
with
L
con
v
olutional
layers,
each
chromosome
z
represents,
z
=
[(
r
1
,
s
1
)
,
(
r
2
,
s
2
)
,
.
.
.
,
(
r
L
,
s
L
)]
,
(1)
where
r
l
∈
(0
,
1]
denotes
the
retention
ratio
of
layer
l
,
and
s
l
denotes
the
selected
pruning
strate
gy
(min-
importance
or
median-rank).
W
e
e
xclude
max-importance
since
remo
ving
highly
important
lters
typically
leads
to
se
v
ere
accurac
y
de
gradation
and
contradicts
standard
pruning
objecti
v
es.
3.3.
T
aylor
-based
pr
oxy
tness
Ev
aluating
candidate
pruning
congurations
via
ne-tuning
is
computationally
e
xpensi
v
e
during
e
v
o-
lutionary
search.
T
o
enable
ef
cient
e
v
aluation,
we
emplo
y
a
taylor
-based
proxy
tness
deri
v
ed
from
the
rst-order
taylor
importance
criterion
[15],
[16].
Gi
v
en
a
pruning
conguration
z
retaining
lters
S
l
(
z
)
in
each
layer
,
the
global
taylor
preserv
ation
ratio
is
dened
as,
P
T
(
z
)
=
P
L
l
=1
P
i
∈
S
l
(
z
)
T
l
,i
P
L
l
=1
P
C
l
i
=1
T
l
,i
(2)
where
C
l
is
the
number
of
lters
in
layer
l
.
This
ratio
measures
the
proportion
of
taylor
importance
preserv
ed
after
pruning
and
serv
es
as
an
ef
cient
proxy
for
ranking
candidate
congurations
during
the
e
v
olutionary
search.
F
or
the
multi-objecti
v
e
formulation,
we
use
a
layer
-wise
normalized
v
ariant
to
mitig
ate
dominance
from
high-importance
layers:
P
nor
m
T
(
z
)
=
1
L
L
X
l
=1
P
i
∈
S
l
(
z
)
T
l
,i
P
C
l
i
=1
T
l
,i
(3)
Indonesian
J
Elec
Eng
&
Comp
Sci,
V
ol.
43,
No.
1,
July
2026:
314–324
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
319
3.4.
Single-objecti
v
e
tness
f
ormulation
T
o
establish
a
baseline,
we
designed
a
single-objecti
v
e
genetic
algorithm
(GA-SO)
aggre
g
ating
objecti
v
es
into
a
scalar
tness
function:
F
(
z
)
=
P
T
(
z
)
−
λ
1
·
ϕ
(
z
)
−
λ
2
·
ψ
(
z
)
−
λ
3
·
r
par
am
(
z
)
(4)
where
P
T
(
z
)
denotes
the
taylor
-based
proxy
tness
dened
in
section
3.3.
The
MA
Cs
penalty
is
dened
as:
ϕ
(
z
)
=
max(0
,
r
mac
−
τ
)
+
β
·
max(0
,
r
mac
−
τ
)
2
(5)
The
structural
vulnerability
penalty
is
dened
as:
ψ
(
z
)
=
X
l
∈L
v
uln
max(0
,
ρ
−
r
l
)
2
(6)
In
addition
to
this
soft
penalty
,
the
full
structural
safe
guard
mechanism
enforces
a
hard
oor
of
10%
retention
per
layer
(with
lter
counts
rounded
to
multiples
of
8
for
hardw
are
alignment)
during
chromosome
decoding.
An
y
solution
violating
this
hard
boundary
is
rejected
(
F
=
−∞
).
3.5.
Multi-objecti
v
e
f
ormulation
and
taylor
-based
pr
oxy
Rather
than
coalescing
constraints
into
scalar
tnesses,
we
formulate
pruning
as
a
multi-obj
ecti
v
e
optimization
problem
(MOP):
min
z
F
(
z
)
=
[
f
acc
(
z
)
,
f
mac
(
z
)
,
f
param
(
z
)]
(7)
where
f
acc
(
z
)
=
−P
T
(
z
)
and
P
T
(
z
)
is
the
T
aylor
-based
proxy
tness
dened
in
Section
3.3..
T
o
solv
e
(7),
we
emplo
y
the
non-dominated
sorting
genetic
algorithm
II
(NSGA-II)
[29].
Indi
viduals
are
rank
ed
via
non-dominated
sorting
based
on
P
areto
dominance,
where
a
solution
z
1
dominates
z
2
(
z
1
≺
z
2
)
if
it
is
no
w
orse
in
all
objecti
v
es
and
strictly
better
in
at
least
one.
Di
v
ersity
within
each
front
is
maintained
using
cro
wding
distance.
During
e
v
olution,
we
apply
single-point
crosso
v
er
to
e
xchange
genes
between
parent
solutions.
Mutation
reinitializes
ratio
genes
uniformly
within
[
min
ratio
,
1
.
0]
and
randomly
reassigns
strate
gy
genes.
The
o
v
erall
optimization
procedure
is
summarized
in
Algorithm
1.
Algorithm
1
NSGA-II
based
h
ybrid
structured
pruning
1:
Input:
Pre-computed
taylor
scores,
population
size
N
,
generations
G
.
2:
Initialize
population
P
0
with
random
pruning
ratios
and
strate
gies.
3:
Ev
aluate
objecti
v
es
F
(
z
)
for
all
z
∈
P
0
.
4:
f
or
t
=
0
to
G
−
1
do
5:
Generate
of
fspring
Q
t
via
selection,
crosso
v
er
,
and
mutation.
6:
Ev
aluate
objecti
v
es
for
all
z
∈
Q
t
.
7:
Mer
ge
populations
R
t
=
P
t
∪
Q
t
.
8:
Perform
non-dominated
sorting
on
R
t
to
obtain
fronts
F
1
,
F
2
,
.
.
.
.
9:
Construct
P
t
+1
using
fronts
and
cro
wding
distance.
10:
end
f
or
11:
Output:
P
areto
front
F
1
.
Knee
point
selection.
The
NSGA-II
algorithm
produces
a
P
areto
front
F
1
containing
multiple
non-
dominated
solutions.
T
o
obtain
a
single
deplo
yable
model,
we
select
the
knee
point
z
∗
,
dened
as
the
solution
minimizing
the
Euclidean
distance
to
the
ideal
point
in
the
normalized
object
i
v
e
space.
This
strate
gy
pro
vides
a
balanced
trade-of
f
between
accurac
y
preserv
ation
and
resource
reduction.
z
∗
=
arg
min
z
∈F
1
q
ˆ
f
2
acc
(
z
)
+
ˆ
f
2
mac
(
z
)
+
ˆ
f
2
par
am
(
z
)
(8)
Layer
-wise
adaptive
structur
ed
pruning
via
g
enetic
algorithms
with
taylor
...
(Anh-T
ruong
V
o)
Evaluation Warning : The document was created with Spire.PDF for Python.
320
❒
ISSN:
2502-4752
4.
RESUL
TS
AND
DISCUSSION
4.1.
Experimental
setup
W
e
e
v
aluate
our
frame
w
ork
on
the
V
GG16
architecture
[1]
us
ing
tw
o
benchmark
datasets:
CIF
AR-10
and
CIF
AR-100
[30].
Baseline
accurac
y
,
parameters,
and
MA
Cs
for
these
datasets
are
detailed
in
subsequent
result
tables.
The
e
v
olutionary
search
operates
with
a
population
size
of
50
o
v
er
30
generations
on
a
single
NVIDIA
R
TX
4090
GPU.
The
entire
search
process
completes
in
under
15
seconds
because
taylor
importance
scores
are
pre-computed
e
xactly
once.
The
1,500
genetic
e
v
aluations
are
performed
using
these
cached
ranking
tables
via
v
ectorized
summation,
eliminating
iterati
v
e
ne-tuning
during
search.
Final
architectures
are
ne-tuned
for
150
epochs
usi
ng
SGD
with
kno
wledge
distillation
(KD)
[31]
(
T
=
4
.
0
,
α
=
0
.
9
).
Full
implementation
details
are
publicly
a
v
ailable
(see
data
a
v
ailability).
4.2.
Stability
analysis:
global
vs.
adapti
v
e
pruning
W
e
rst
in
v
estig
ate
the
rob
ustness
of
dif
ferent
pruning
strate
gies
under
an
e
xtreme
compression
re
gime
(tar
geting
<
0
.
1
G
MA
Cs).
T
able
2
compares
our
adapti
v
e
frame
w
ork
with
standard
global
pruning
heuristics.
As
sho
wn
in
T
able
2,
rigid
global
ranking
strate
gies
such
as
median
and
max
f
ail
under
e
xtreme
compression,
leading
to
layer
collapse.
In
contrast,
our
adapti
v
e
GA
frame
w
orks
consistently
identify
stable
architectures
that
remain
operable
at
similar
compression
le
v
els.
T
able
2.
Stability
comparison
at
e
xtreme
compression
(CIF
AR-10)
Strate
gy
MA
Cs
(G)
P
arams
(M)
Acc
(%)
Status
Baseline
0.33
33.65
93.62
-
Global
Min
0.07
18.15
92.53
Stable
Global
Median
-
-
CRASH
Layer
collapse
Global
Max
-
-
CRASH
Layer
collapse
Adapti
v
e
GA-SO
0.087
23.21
92.33
Stable
Adapti
v
e
GA-MO
0.099
±
0.010
21.77
±
0.81
92.78
±
0.28
Stable
4.3.
Comparison
with
structur
ed
pruning
methods
T
able
3
compares
our
method
with
representati
v
e
structured
pruning
methods
that
report
results
on
V
GG16/CIF
AR-10.
As
s
ho
wn
in
T
able
3,
L1-Norm
and
HRank
achie
v
e
slightly
higher
absolute
accurac
y
b
ut
operate
at
substantially
lo
wer
compression
le
v
els
(34–54%
MA
Cs
reduction).
ABCPruner
[20]
reaches
a
comparable
MA
Cs
reduction
(73.68%)
while
retaining
higher
accurac
y
(93.08%),
as
it
performs
optimization-
based
ratio
search.
Ho
we
v
er
,
ABCPruner
searches
only
for
per
-layer
pruning
ratios
under
a
x
ed
criterion.
T
able
3.
Comparison
with
representati
v
e
structured
pruning
methods
on
V
GG16
(CIF
AR-10)
Method
Acc
(%)
P
arams
(%)
MA
Cs
(%)
Baseline
93.62
0
0
L1-Norm
[7]
93.40
64.0
34.2
HRank
[14]
93.43
82.9
53.5
ABCPruner
[20]
93.08
88.68
73.68
Ours
(GA-SO)
92.33
31.0
73.6
Ours
(GA-MO)
92.78
±
0.28
35.3
±
2.4
70.0
±
3.2
By
jointly
optimizing
pruning
ratios
and
strate
gies,
our
GA-MO
v
ariant
achie
v
es
70.0
±
3.2%
MA
Cs
reduction
with
92.78
±
0.28%
accurac
y
across
50
runs;
the
absolute
comparisons
should
be
interpreted
cau-
tiously
due
to
dif
fering
training
protocols.
AMC
[8],
EagleEye
[22],
and
MetaPruning
[23]
search
for
per
-layer
ratios
b
ut
do
not
report
V
GG16/CIF
AR-10
results
and
require
substantially
more
computation
(e.g.,
EagleEye
∼
25
GPU
hours
vs.
our
<
15
seconds),
while
our
method
additionally
e
xplores
how
to
prune
at
each
layer
.
Under
aggressi
v
e
compression
on
CIF
AR-100
(T
able
4),
Adapti
v
e
GA-MO
achie
v
es
71.82%
accu-
rac
y
with
only
a
0.96%
drop,
outperforming
all
global
baselines
Since
L1-Norm,
HRank,
and
ABCPruner
do
not
report
results
on
the
V
GG16/CIF
AR-100
dataset
in
their
original
publications,
direct
comparison
with
these
methods
is
not
included
in
T
able
4.
Indonesian
J
Elec
Eng
&
Comp
Sci,
V
ol.
43,
No.
1,
July
2026:
314–324
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
321
T
able
4.
Performance
comparison
on
CIF
AR-100
(V
GG16)
Method
MA
Cs
(G)
Reduct.
Acc
(%)
Drop
(%)
P
arams
(M)
Drop
(%)
Baseline
0.33
0.0%
72.78
-
34.02
-
Global
Min
0.12
63.6%
69.91
-2.87
22.30
34.5%
Global
Median
0.14
57.6%
71.02
-1.76
21.45
37.0%
Global
Max
0.10
69.7%
68.57
-4.21
22.11
35.0%
Ours
(GA-MO)
0.116
64.8%
71.82
-0.96
22.52
33.8%
Ours
(GA-SO)
0.086
73.9%
70.68
-2.10
23.26
31.6%
4.4.
Discussion
Our
analysis
in
section
3
sho
ws
that
layer
-wise
score
imbalance
causes
global
median
and
max
strat
e-
gies
to
suf
fer
from
layer
collapse.
Our
frame
w
ork
a
v
oids
this
through
layer
-wise
decision
making,
learning
local
ratios
and
strate
gies
simultaneously
instead
of
relying
on
a
single
global
threshold.
Our
e
xperiments
re
v
eal
distinct
beha
vioral
dif
ferences
between
the
GA
v
aria
nts.
The
single-obje
cti
v
e
formulation
(GA-SO),
dri
v
en
by
a
weighted-sum
tness,
con
v
er
ges
to
a
100%
min-importance
strate
gy
across
all
layers.
This
greedy
beha
vior
ma
x
i
mizes
the
proxy
tness
b
ut
limi
ts
e
xploration.
In
contrast,
the
multi-
objecti
v
e
formulation
(GA-MO)
maintains
strate
gy
di
v
ersity
throughout
the
search,
as
illustrated
in
the
P
areto
front
(Figure
2).
Rather
than
forcing
a
single
threshold,
this
spread
enables
selection
of
architectures
tailored
to
dif
ferent
hardw
are
constraints.
What
is
ne
w
and
wh
y
it
matters.
By
introducing
a
dual-v
ariable
search
space
that
simult
aneously
optimizes
ho
w
much
and
ho
w
to
prune,
our
method
e
xtends
prior
automated
pruning
approaches
that
search
only
for
pruning
ratios
under
x
ed
criteria.
This
broader
search
space
allo
ws
the
e
v
olutionary
process
to
disco
v
er
pruning
congurations
that
remain
stable
and
a
v
oid
layer
collapse
e
v
en
under
aggressi
v
e
compression
re
gimes.
Role
of
the
structural
safe
guard.
An
ablation
e
xperiment
conrms
that
disabling
the
safe
guard
(s
oft
penalty
+
hard
constraints)
does
not
de
grade
accurac
y
,
acting
as
a
cost-free
safety
mechanism.
Operationally
,
the
8-lter
alignment
ensures
hardw
are-friendly
channel
counts,
impro
ving
MA
Cs
estimation
consistenc
y
,
while
the
minimum
retention
oor
pre
v
ents
search
re
gions
prone
to
collapse.
4.5.
Pr
oxy
delity
and
statistical
r
ob
ustness
T
o
v
alidate
proxy
reliability
,
we
correlate
proxy
tness
with
post
-ne-tuning
accurac
y
across
32
non-
dominated
sub-netw
orks
from
a
single
NSGA-II
P
areto
front
(each
pruned
and
ne-tuned
for
150
epochs
with
identical
KD
settings).
The
Spearman
correlation
is
ρ
=
0
.
8035
(
p
=
3
.
08
×
10
−
8
)
and
pears
on
r
=
0
.
8272
(
p
=
5
.
32
×
10
−
9
),
conrming
that
the
proxy
reliably
ranks
candidates
across
dif
ferent
compression
re
gimes,
consistent
with
EagleEye
[22].
Ov
er
50
independent
runs
with
dif
ferent
random
seeds,
the
full
GA-MO
pipeline
achie
v
es
mean
=
92.78%,
std
=
0.28%,
mi
n
=
92.01%,
max
=
93.33%,
indicating
stable
con
v
er
gence
to
high-quality
solutions
independent
of
random
initialization.
4.6.
Limitations
This
w
ork
introduces
limitations
w
arranting
future
in
v
estig
ation:
(i)
Architecture
scope:
a
prelim
inary
e
v
aluation
on
ResNet-56
(CIF
AR-10)
yields
90.07
±
0.88%
accurac
y
at
83.7
±
1.7%
MA
Cs
reduction
o
v
er
88
runs
(baseline:
93.44%),
suggesting
transferability
to
residual
architectures.
(ii)
Dataset
scale:
v
alidation
is
limited
to
CIF
AR.
Lar
ger
datasets
(e.g.,
ImageNet)
may
e
xhibit
distinct
pruning
dynamics.
(iii)
Proxy
approx-
imation:
the
taylor
proxy
relies
on
a
rst-order
approximation
and
may
miss
second-order
lter
interactions.
(i
v)
Strate
gy
space:
e
xpanding
be
yond
the
tw
o
current
strate
gies
(e.g.,
geometric-median)
may
yield
impro
v
ements.
5.
CONCLUSION
In
this
paper
,
we
present
an
adapti
v
e
structured
pruning
frame
w
ork
using
a
multi-objecti
v
e
e
v
ol
ution-
ary
algorithm
(NSGA-II)
with
a
layer
-wise
h
ybrid
strate
gy
.
By
jointly
optimizing
pruning
ratios
and
pruning
strate
gies
at
each
layer
,
the
proposed
frame
w
ork
mo
v
es
be
yond
rigid
global
heuristics
that
apply
a
single
cri-
terion
uniformly
.
The
multi-
ob
j
ecti
v
e
formulation
enables
e
xplicit
e
xploration
of
trade-of
fs
between
accurac
y
,
computational
cost,
and
model
size.
Layer
-wise
adaptive
structur
ed
pruning
via
g
enetic
algorithms
with
taylor
...
(Anh-T
ruong
V
o)
Evaluation Warning : The document was created with Spire.PDF for Python.
322
❒
ISSN:
2502-4752
Experimental
results
on
V
GG16
sho
w
that
our
method
achie
v
es
92.78
±
0.28%
accurac
y
with
70.0
±
3.2%
MA
Cs
reduction
on
CIF
AR-10
while
maintaining
stable
architectures
under
aggressi
v
e
compression.
On
CIF
AR-100,
the
frame
w
ork
retains
71.82%
accurac
y
with
a
64.8%
MA
Cs
reduction,
indicating
good
general-
ization
to
more
challenging
classication
tasks.
Proxy
delity
analysis
conrms
that
the
T
aylor
-based
proxy
reliably
ranks
candidate
archit
ectures
(strong
rank
correlation),
and
statistical
v
alidation
o
v
er
50
independent
runs
demonstrates
consistent
repro-
ducibility
(std
=
0
.
28%
).
Ultimately
,
these
empirical
adv
antages
suggest
that
the
proposed
frame
w
ork
holds
signicant
potential
to
f
acilitate
rob
ust
compression
for
mobile
AI
and
edge
de
vices,
reducing
theoretical
in-
ference
costs
while
preserving
accurac
y
.
While
the
frame
w
ork
demonstrates
strong
empirical
adv
antages
on
V
GG16,
a
preliminary
e
v
aluation
on
ResNet-56
suggests
trans
ferability
to
residual
architectures.
Full
v
alidation
on
lar
ger
arc
h
i
tectures
and
datasets
remains
as
future
w
ork.
Future
w
ork
will
focus
on:
(i)
full
statistical
v
alidation
on
residual
architectures
(ResNet-50/ImageNet)
and
T
ransformer
-based
models;
(ii)
e
xpanding
the
strate
gy
search
space
with
geometric
or
acti
v
ation-based
cri-
teria;
and
(ii
i)
deplo
ying
compressed
models
on
real-w
orld
edge
de
vices
to
measure
ph
ysical
inference
latenc
y
and
ener
gy
ef
cienc
y
.
A
CKNO
WLEDGMENTS
The
authors
w
ould
lik
e
to
thank
the
MMLab,
Uni
v
ersity
of
Information
T
echnology
,
V
ietnam
National
Uni
v
ersity
Ho
Chi
Minh
City
,
for
pro
viding
the
computational
resources
used
in
this
research.
FUNDING
INFORMA
TION
This
research
w
as
funded
by
Uni
v
ersity
of
Information
T
echnology
,
V
ietnam
National
Uni
v
ersity
Ho
Chi
Minh
City
under
grant
number
D1-2026-06.
A
UTHOR
CONTRIB
UTIONS
ST
A
TEMENT
This
journal
uses
the
Contrib
utor
Roles
T
axonomy
(CRediT)
to
recognize
indi
vidual
author
contrib
utions,
reduce
authorship
disputes,
and
f
acilitate
collaboration.
Name
of
A
uthor
C
M
So
V
a
F
o
I
R
D
O
E
V
i
Su
P
Fu
Anh-T
ruong
V
o
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
Hoang-Loc
T
ran
✓
✓
✓
✓
✓
✓
Dinh-Duy
Phan
✓
✓
✓
✓
✓
✓
Duc-Lung
V
u
✓
✓
✓
✓
✓
✓
✓
✓
✓
C
:
C
onceptualization
I
:
I
n
v
estig
ation
V
i
:
V
i
sualization
M
:
M
ethodology
R
:
R
esources
Su
:
Su
pervision
So
:
So
ftw
are
D
:
D
ata
Curation
P
:
P
roject
Administrati
on
V
a
:
V
a
lidation
O
:
Writing
-
O
riginal
Draft
Fu
:
Fu
nding
Acquisition
F
o
:
F
o
rmal
Analysis
E
:
Writing
-
Re
vie
w
&
E
diting
CONFLICT
OF
INTEREST
ST
A
TEMENT
The
authors
declare
that
the
y
ha
v
e
no
kno
wn
competing
nancial
interests
or
personal
relat
ionships
that
could
ha
v
e
appeared
to
inuence
the
w
ork
reported
in
this
paper
.
D
A
T
A
A
V
AILABILITY
The
e
xperiments
in
this
study
were
conducted
using
publicly
a
v
ailable
datasets
(CIF
AR-10
and
CIF
AR-
100).
The
source
code
implementing
the
proposed
frame
w
ork
is
publicly
a
v
ailable
at:
https://github.
com/truongva1111/adaptive-
ga-
pruning
.
Indonesian
J
Elec
Eng
&
Comp
Sci,
V
ol.
43,
No.
1,
July
2026:
314–324
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
323
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Layer
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adaptive
structur
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pruning
via
g
enetic
algorithms
with
taylor
...
(Anh-T
ruong
V
o)
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