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Privacy-Preserving Low-Rank Instruction Tuning for Large Language Models via DP-LoRA

Author: Yao, Guanzi
Publisher: Zenodo
DOI: 10.5281/zenodo.17537124
Source: https://zenodo.org/records/17537124/files/Privacy-Preserving+Low-Rank+Instruction+Tuning+for+Large+Language+Models+via+DP-LoRA.pdf
Jou nal o Compu e Technology and So wa e
ISSN: 2998-2383
Vol. 3, No. 5, 2024
P i acy-P ese ing Low-Rank Ins uc ion Tuning o La ge
Language Models ia DP-LoRA
Guanzi Yao
No hwes e n Uni e si y, E ans on, USA
[email p o ec ed]
Abs ac : This pape p oposes DP-LoRA, an ins uc ion uning algo i hm ha combines di e en ial p i acy wi h low- ank
adap a ion o add ess he challenges o p i acy isks and pe o mance e en ion in la ge-scale language models o ins uc ion-
ollowing asks. The me hod embeds low- ank adap a ion modules on op o a ozen p e ained backbone and in eg a es
di e en ial p i acy h ough g adien clipping and noise injec ion o s ic ly con ol he p i acy budge while ensu ing e ec i e
model upda es. A sys ema ic analysis is conduc ed om h ee pe spec i es: hype pa ame e sensi i i y, en i onmen al sensi i i y,
and da a sensi i i y. The s udy examines he impac o p i acy budge s on a ious aspec s, including pe plexi y, membe ship
in e ence a ack success a es, and ins uc ion adhe ence. I also in es iga es he pe o mance changes du ing communica ion
ounds and bandwid h cons ain s. Addi ionally, he s udy explo es he e ec s o ins uc ion di e si y and ask mix u e on p i acy
consump ion and pe o mance. Expe imen al esul s show ha DP-LoRA educes pe plexi y, imp o es ins uc ion adhe ence, and
mi iga es p i acy isks while main aining obus ness unde dis ibu ed and mul i- ask condi ions. This esea ch no only achie es
a uni ied balance be ween p i acy p o ec ion and pe o mance bu also demons a es s ong adap abili y in mul idimensional
sensi i i y expe imen s, p o iding sys ema ic alida ion and empi ical e idence o he applica ion o di e en ial p i acy in
ins uc ion uning o la ge models.
Keywo ds: Di e en ial p i acy; low- ank adap a ion; ins uc ion ine- uning; sensi i i y analysis
1. In oduc ion
In he apid de elopmen o a i icial in elligence, la ge-
scale language models ha e g adually become he co e d i ing
o ce o p og ess in na u al language p ocessing. Wi h he
exponen ial g ow h o model pa ame e s, hey ha e shown
unp eceden ed pe o mance in ex gene a ion, knowledge
ques ion answe ing, and ask planning. Howe e , he
con inuous imp o emen o model capaci y b ings no only
highe compu a ion and s o age cos s bu also s ic e
equi emen s o da a secu i y and p i acy p o ec ion. In he
con ex o c oss-domain applica ions and mul i-sou ce da a
collabo a ion, achie ing e icien adap a ion and ine- uning o
la ge models wi hou exposing sensi i e in o ma ion has
become a c i ical challenge. This issue is especially se e e in
high- isk domains such as heal hca e, inance, educa ion, and
go e nmen , whe e da a is highly sensi i e and subjec o s ic
compliance equi emen s. Wi hou p ope p i acy-p ese ing
mechanisms, he deploymen o la ge models will ace se ious
limi a ions[1,2].
Agains his backg ound, p i acy-p ese ing ins uc ion
uning has eme ged as a esea ch ocus. Ins uc ion uning
s eng hens he abili y o models o unde s and and ollow
ins uc ions, allowing hem o adap o speci ic ask
equi emen s on op o gene al p e aining. Ye adi ional
ins uc ion uning o en elies on la ge-scale da ase s,
some imes wi h sensi i e labels, and is ypically pe o med
unde cen alized aining pa adigms. This p ocess poses a high
isk o p i acy leakage. A he same ime, wi h he g owing
emphasis on da a p o ec ion egula ions and compliance
amewo ks, app oaches ha depend only on cen alized da a
p ocessing and pa ame e upda es can no longe mee p ac ical
demands. Balancing p i acy secu i y wi h he need o p ese e
ins uc ion- ollowing and seman ic gene aliza ion has become
a p ominen ension a bo h heo e ical and p ac ical le els[3].
On he o he hand, ull-pa ame e ine- uning can p o ide
signi ican imp o emen s in ask adap a ion bu comes wi h
high compu a ion and s o age cos s. This makes i s deploymen
in p i acy-sensi i e en i onmen s di icul . Pa ame e -e icien
ine- uning me hods p o ide a p omising al e na i e. By
injec ing low- ank s uc u ed upda es in o model weigh s, hey
achie e e icien ask adap a ion while keeping mos
pa ame e s ozen[4]. This g ea ly educes aining cos s and
s o age equi emen s. Howe e , combining pa ame e -e icien
ine- uning wi h p i acy-p ese ing mechanisms is no
s aigh o wa d. Pa ame e upda es hemsel es may ca y
sensi i e in o ma ion, and wi hou di e en ial p o ec ion,
ad e sa ies could ex ac hidden da a ea u es om g adien s.
In addi ion, low- ank s uc u es in ol e a delica e balance
be ween comp ession and gene aliza ion. How o achie e
accu acy, e iciency, and secu i y a he same ime emains an
open p oblem.
In his con ex , di e en ial p i acy o e s a solid heo e ical
ounda ion o ins uc ion uning unde p i acy cons ain s. By
injec ing andom noise in o pa ame e upda es o g adien
p opaga ion, di e en ial p i acy educes he in luence o
indi idual samples on he inal model. This e ec i ely lowe s
he isk o p i acy leakage. Ye di ec ly applying di e en ial
p i acy o la ge-scale language models is challenging. G adien
pe u ba ion can weaken model ep esen a ion, p i acy budge
alloca ion may become unbalanced, and con lic s be ween
p i acy and pe o mance o en a ise ac oss asks. Designing
op imiza ion s a egies ha main ain ask e ec i eness while
en o cing di e en ial p i acy cons ain s is, he e o e a key o
ad ancing his ield[5].
The in eg a ion o p i acy p o ec ion wi h pa ame e -
e icien ins uc ion uning has bo h heo e ical and p ac ical
signi icance. I p o ides a easible pa h o deploying la ge-
scale language models secu ely in sensi i e domains,
esponding o eal-wo ld demands o compliance and p i acy.
A he same ime, i enables e icien , sa e, and scalable
ins uc ion adap a ion unde esou ce cons ain s h ough
s uc u ed pa ame e upda es and p i acy budge egula ion.
Mo e impo an ly, his di ec ion os e s deepe in eg a ion
be ween p i acy-p ese ing me hods and la ge model aining
echniques. I also lays he echnical ounda ion o building
us wo hy and gene alizable a i icial in elligence sys ems in
he u u e[6].
2. Rela ed wo k
The apid expansion o la ge-scale language models has
d i en he de elopmen o na u al language p ocessing, bu i
has also inc eased he complexi y o ask adap a ion. A e
gene al p e aining, enabling models o e ec i ely unde s and
and execu e di e se na u al language ins uc ions has become a
key challenge. Ins uc ion uning eme ged as a solu ion by
using s uc u ed ask ins uc ion da a, which allows models o
gene alize mo e e ec i ely unde ze o-sho and ew-sho
condi ions. Compa ed wi h adi ional ull-pa ame e upda es,
ins uc ion uning emphasizes he ans e abili y and
consis ency o language asks, helping la ge models main ain
s able pe o mance ac oss scena ios. Howe e , as applica ion
domains expand, cen alized collec ion and p ocessing o
ins uc ion da a ha e e ealed se ious p i acy and compliance
isks. Achie ing high-quali y ins uc ion adap a ion while
ensu ing da a secu i y has he e o e become an u gen
challenge[7].
The impo ance o p i acy p o ec ion in la ge model
aining and ine- uning is inc easing. This is pa icula ly
c i ical in sensi i e domains such as pe sonal in o ma ion,
medical eco ds, inancial ansac ions, and educa ional
a chi es, whe e da a leakage can cause se e e consequences.
Di e en ial p i acy, wi h i s clea heo e ical de ini ion and
measu able gua an ees, has become one o he mos
ep esen a i e p o ec ion me hods in model aining. By
injec ing noise in o g adien s o pa ame e upda es, di e en ial
p i acy educes he iden i iabili y o indi idual da a in he inal
model, hus p o iding ins i u ional and echnical sa egua ds o
secu e applica ions o la ge models[8]. Howe e , applying
di e en ial p i acy di ec ly o la ge-scale language models is
no simple. Excessi e noise can weaken he model's abili y o
cap u e seman ic in o ma ion. A he same ime, p i acy budge
alloca ion and managemen emain di icul o balance. This
makes i necessa y o combine di e en ial p i acy wi h
e icien op imiza ion me hods in ins uc ion uning o ensu e
bo h p i acy and pe o mance[9].
Meanwhile, pa ame e -e icien ine- uning has become a
majo esea ch ocus in ecen yea s. Fo language models wi h
ens o billions o pa ame e s, ull-pa ame e ine- uning
consumes eno mous compu a ional esou ces and c ea es hea y
s o age and ans e bu dens. Pa ame e -e icien me hods
in oduce ligh weigh s uc u ed modules while keeping he
main weigh s ozen. This enables apid ask-speci ic
adap a ion a much lowe aining and deploymen cos s. Such
me hods imp o e esponsi eness o new asks unde limi ed
esou ces and show good scalabili y in c oss- ask ans e ,
model comp ession, and downs eam applica ions. Howe e ,
mos exis ing pa ame e -e icien ine- uning me hods mainly
add ess he ade-o be ween pe o mance and e iciency.
They pay limi ed a en ion o p i acy conce ns, which is
inadequa e o compliance and sensi i e da a scena ios[10].
The in eg a ion o di e en ial p i acy wi h pa ame e -
e icien ine- uning is eme ging as a key di ec ion o
ad ancing p i acy-p ese ing la ge models. Di e en ial
p i acy p o ides a s ong secu i y bounda y, while pa ame e -
e icien ine- uning ensu es e iciency and scalabili y[11].
Thei combina ion allows be e pe o mance p ese a ion
unde limi ed p i acy budge s and makes model adap a ion
mo e lexible and cos -e ec i e. This in eg a ion is aluable
o eal-wo ld applica ions. In c oss-ins i u ional collabo a ion,
c oss-domain da a sha ing, and mul i- ask pa allel se ings, i
ensu es ha sensi i e da a emains p o ec ed while main aining
he abili y o models o unde s and and execu e di e se
ins uc ions. The e o e, combining p i acy p o ec ion wi h
pa ame e -e icien me hods no only add esses he demand o
compliance and us wo hiness in la ge models bu also
p o ides a echnical pa hway o he sus ainable de elopmen
o in elligen sys ems[12].
3. Me hod
This s udy in oduces an ins uc ion uning me hod ha
in eg a es di e en ial p i acy wi h low- ank adap a ion o
add ess he challenges o ask adap a ion and p i acy p o ec ion
o la ge-scale language models in sensi i e da a scena ios. The
co e idea is o keep he main model pa ame e s ozen while
upda ing only speci ic low- ank ma ices, and o injec
di e en ial p i acy noise du ing pa ame e op imiza ion. This
mechanism enables e icien , secu e, and scalable model uning.
I es ablishes a con ollable balance be ween ins uc ion-
ollowing capabili y and p i acy p o ec ion, allowing he model
o demons a e g ea e obus ness and us wo hiness in
complex applica ion en i onmen s. The model a chi ec u e is
shown in Figu e 1.
In ma hema ical modeling, we i s assume ha he weigh
ma ix o he p e- ained language model is:
kd
RW 

Whe e
d
is he inpu dimension and
k
is he ou pu
dimension. In e icien pa ame e ine- uning, we in oduce
low- ank decomposi ion o app oxima e he upda e ma ix:
T
ABW 
Whe e
d
RA 

,
k
RB 

, ank
),min( kd 
.
The e o e, he ine- uned pa ame e s can be exp essed as:
T
ABWWWW '
Du ing he aining p ocess, le he inpu ins uc ion
sequence be
x
and he a ge ou pu be
y
. The condi ional
p obabili y dis ibu ion o he model ou pu is:
))';(max()';|( Wx So WxyP 
Whe e
)(
ep esen s he o wa d p opaga ion unc ion
o he neu al ne wo k. The op imiza ion goal is o minimize he
c oss-en opy loss:



Dyx
WxyPL
),(
)';|(log
To ensu e p i acy du ing aining, his s udy in oduces a
di e en ial p i acy mechanism du ing he g adien upda e
phase. Fo each pa ame e upda e, he g adien
g
is i s
clipped:
),1min(
~
2
g
C
gg 
Whe e
C
is he clipping h eshold. Gaussian noise is
hen added o achie e di e en ial p i acy:
),0(
~
ˆ22 ICNgg


Whe e

con ols he noise ampli ude and
I
is he
iden i y ma ix. Finally, he pa ame e upda e ule is:
A
gAA ˆ


,
B
gBB ˆ


Whe e

is he lea ning a e,
A
g
ˆ
and
B
g
ˆ
ep esen
he p i a ized g adien s o he co esponding sub-ma ices.
To measu e he s eng h o di e en ial p i acy p o ec ion,
his s udy ollows he de ini ion o di e en ial p i acy
),(

.
Unde
T
consecu i e i e a ions, he o e all p i acy budge
sa is ies:












,
2
),( 2
2
TC
Whe e

ep esen s he uppe bound o p i acy leakage,
and

ep esen s he p obabilis ic elaxa ion e m. By
p ope ly con olling he clipping h eshold
C
and he noise
coe icien

, we can achie e s ic p i acy p o ec ion o
use da a while main aining model pe o mance.
In summa y, his me hod es ablishes a uni ied
op imiza ion amewo k be ween low- ank pa ame e upda es
and di e en ial p i acy cons ain s, which no only ensu es he
ask adap abili y o la ge-scale language models bu also
signi ican ly educes he isk o p i acy leakage, p o iding a
easible pa h o model ine- uning in p i acy-sensi i e
scena ios.
Figu e 1. F amewo k o Di e en ially P i a e LoRA o
Ins uc ion-Tuned La ge Language Models
4. Expe imen al Resul s
4.1 Da ase
This s udy uses he No Robo s SFT da ase as he basis
o me hod alida ion. The da ase con ains a collec ion o
high-quali y ins uc ion –example pai s designed o suppo
supe ised ine- uning o language models in ins uc ion-
ollowing scena ios. Each en y consis s o a na u al language
ins uc ion and i s co esponding demons a ion, p o iding a
solid aining ounda ion o unde s anding ins uc ions and
gene a ing esponses.
Wi hin he p oposed amewo k, No Robo s SFT
p o ides sensi i e ins uc ion – esponse pai s o p i a ized
ine- uning unde di e en ial p i acy cons ain s. The
ins uc ion pa de ines he a ge ask o model adap a ion,
while he demons a ion pa p o ides ich seman ic con ex .
This helps he model achie e p ecise alignmen wi h
ins uc ion seman ics unde limi ed pa ame e upda es. Such a
s uc u ed design no only suppo s he model's ins uc ion-
ollowing abili y bu also ensu es p i acy p o ec ion unde he
DP-LoRA op imiza ion mechanism.
In addi ion, No Robo s SFT plays an impo an ole in
e alua ing he gene aliza ion abili y o he model. The da ase
co e s di e se ins uc ion ypes and esponse s uc u es,
c ea ing es condi ions o di e en ask scena ios. This
allows assessmen o he model's adap abili y unde he dual
cons ain s o low- ank adap a ion and p i acy p o ec ion.
Valida ion on his da ase ensu es ha he p oposed me hod
can main ain obus ins uc ion- ollowing pe o mance in
complex ins uc ion en i onmen s.
4.2 Expe imen al Resul s
This pape i s conduc s a compa a i e expe imen , and he
expe imen al esul s a e shown in Table 1.
Table1: Compa a i e expe imen al esul s
Model
Pe plexi y
↓
MIA-
AUC ↓
Ins uc ion
Adhe ence
(%) ↑
P i acy
Budge
(ε)↓
LoRA[13]
18.5
0.80
74.2
1.00
DoRA[14]
17.3
0.77
75.6
0.90
LoRA-Leak[15]
17.6
0.76
75.0
0.80
DP-
DyLoRA[16]
17.1
0.72
76.3
0.70
Ou s (DP-
LoRA)
16.2
0.65
78.1
0.50
These expe imen al esul s clea ly demons a e he
pe o mance di e ences in p i acy-p ese ing ins uc ion
uning asks. Fi s , in e ms o he Pe plexi y me ic, adi ional
LoRA al eady shows good modeling abili y in gene a ion
quali y. Howe e , wi h he in oduc ion o weigh
decomposi ion in DoRA and dynamic low- ank adap a ion in
DP-DyLoRA, pe plexi y u he dec eases. This indica es ha
pa ame e s uc u e op imiza ion can indeed imp o e e iciency
and accu acy in language modeling. In con as , he p oposed
DP-LoRA achie es he bes pe plexi y alue while main aining
low- ank upda es wi h di e en ial p i acy. This p o es ha he
me hod ensu es p i acy cons ain s while enhancing s abili y in
ins uc ion- ollowing scena ios.
Second, he MIA-AUC me ic highligh s he e ec i eness
o p i acy p o ec ion. LoRA and i s a ian s pe o m well in
e iciency and exp essi eness, bu s ill show a high success a e
o a acks in p i acy isk e alua ion. The esul s o LoRA-Leak
especially e eal he ulne abili y o low- ank adap a ion
me hods when acing membe ship in e ence a acks. DP-
DyLoRA educes MIA-AUC signi ican ly by applying
di e en ial p i acy, showing he necessi y o p i a iza ion. The
p oposed DP-LoRA u he lowe s his me ic o he minimum,
demons a ing i s ad an age in mi iga ing leakage isks e en
unde s ic di e en ial p i acy cons ain s.
Fo Ins uc ion Adhe ence, all me hods main ain ela i ely
high le els, bu di e ences emain in ins uc ion unde s anding
and execu ion abili y. LoRA shows some limi a ions in his
me ic. DoRA and LoRA-Leak imp o e pe o mance wi h he
help o local op imiza ion s a egies. DP-DyLoRA bene i s
om di e en ial p i acy, achie ing s onge ins uc ion-
ollowing abili y while p ese ing p i acy. Finally, he
p oposed DP-LoRA achie es he highes sco e, p o ing ha i s
design ensu es p i acy while main aining and e en
s eng hening p ecise ins uc ion adhe ence. This e lec s he
balance be ween p i acy p o ec ion and ask adap abili y.
Las ly, om he pe spec i e o he P i acy Budge (

), he
esul s show he ade-o be ween di e en ial p i acy and
model e ec i eness. T adi ional LoRA and DoRA do no ocus
on p i acy, leading o high

alues and insu icien
p o ec ion. In con as , DP-DyLoRA achie es con e gence in

, indica ing a balance be ween p o ec ion and pe o mance
unde di e en ial p i acy. The p oposed DP-LoRA u he
op imizes

, eaching he lowes alue and p o iding he
s onges p i acy gua an ee unde heo e ical de ini ions.
O e all, he esul s demons a e ha DP-LoRA achie es he
bes balance ac oss gene a ion quali y, p i acy secu i y, and
ask adap abili y. This e i ies i s p ac ical alue and heo e ical
signi icance in p i acy-p ese ing ins uc ion uning.
This pape also conduc s compa a i e expe imen s on he
hype pa ame e sensi i i y o he p i acy budge

o he DP-
LoRA ins uc ion ine- uning pe o mance and leakage isk.
The expe imen al esul s a e shown in Figu e 2.
Figu e 2. Hype pa ame e Sensi i i y E alua ion o P i acy Budge

on DP-LoRA Ins uc ion Fine- uning Pe o mance and
Leakage Risk
F om he a ia ion o Pe plexi y, i can be obse ed ha
unde di e en p i acy budge s, he gene a ion quali y o he
model emains wi hin a ela i ely s able ange. As he p i acy
budge inc eases, he Pe plexi y alue shows a sligh downwa d
end. This indica es ha when he di e en ial p i acy
cons ain is g adually elaxed, he pe o mance o DP-LoRA
in language modeling can be sligh ly op imized. The end
shows ha he in e e ence o di e en ial p i acy on gene a ion
abili y is con ollable. I also demons a es ha DP-LoRA
main ains s ong ins uc ion modeling capaci y while ensu ing
p i acy p o ec ion.
Fo he MIA-AUC me ic, i is clea ha he alue
g adually inc eases as ε g ows. This means ha wi h a la ge
p i acy budge , he success a e o a acke s e ie ing sensi i e
in o ma ion h ough membe ship in e ence a acks becomes
highe , which inc eases p i acy isks. Closely ela ed o he
heme o his wo k, DP-LoRA signi ican ly supp esses MIA-
AUC unde small

. This shows ha he di e en ial p i acy
mechanism plays a cen al ole in p i acy p o ec ion in small
budge se ings. The esul emphasizes he key in luence o
p i acy budge as a hype pa ame e on model secu i y.
The end o Ins uc ion Adhe ence shows ha as

inc eases, he abili y o he model o ollow ins uc ions
s eadily imp o es. When p i acy cons ain s a e oo s ic , he
model is limi ed in cap u ing seman ics and execu ing
ins uc ions. Wi h a mode a ely elaxed p i acy budge , DP-
LoRA achie es a be e balance be ween p i acy and
e ec i eness, esul ing in highe ins uc ion adhe ence. This
clea ly e eals he ade-o be ween p i acy s eng h and ask
adap abili y.
The p i acy budge i sel , in oduced as a me ic, di ec ly
e lec s he le el o cons ain imposed by he di e en ial
p i acy mechanism du ing aining. Di e en

alues
ep esen di e en ade-o poin s be ween p i acy and
pe o mance. The esul s show ha wi h a smalle

, he
model sac i ices some pe o mance bu gains s onge p i acy
p o ec ion. La ge

p o ides ad an ages in ins uc ion
adhe ence and modeling quali y bu inc eases p i acy isks.
The expe imen al indings con i m he sensi i i y o he
p oposed me hod ac oss mul iple me ics and highligh he
abili y o DP-LoRA o lexibly adjus he balance be ween
p i acy and pe o mance in p ac ical applica ions.
This pape also analyzes he sensi i i y o he p i a iza ion
sampling a e o cumula i e p i acy loss in aining ounds.
The expe imen al esul s a e shown in Figu e 3.
Figu e 3. S udy on he sensi i i y o p i a iza ion sampling a e and cumula i e p i acy loss o aining ounds
Fo he Pe plexi y me ic, he alues show a con inuous
downwa d end as aining epochs inc ease. This indica es ha
unde di e en ial p i acy cons ain s, he language modeling
abili y o DP-LoRA is no se e ely weakened. On he con a y,
wi h mo e aining epochs and highe sampling a es, he model
adap s be e o he dis ibu ion o ins uc ion da a. This esul s
in lowe pe plexi y and demons a es ha he me hod e ains
obus ins uc ion modeling abili y unde p i acy p o ec ion.
Fo he MIA-AUC me ic, he alues g adually ise wi h
mo e aining epochs, which means ha he success a e o
membe ship in e ence a acks inc eases. This phenomenon
shows ha as cumula i e p i acy consump ion g ows, he
p i acy isk o he model also ises. This aligns wi h he
in ui ion o di e en ial p i acy heo y, whe e a highe p i acy
budge can imp o e pe o mance bu a he cos o g ea e
leakage isk. The esul s o DP-LoRA con i m ha unde
di e en epochs and sampling a es, he ension be ween
p i acy and pe o mance pe sis s.
Fo he Ins uc ion Adhe ence me ic, he alues s eadily
inc ease, showing ha he abili y o he model o ollow
ins uc ions imp o es as aining p og esses and ε is elaxed.
This means ha DP-LoRA can g adually enhance ins uc ion-
ollowing abili y while main aining p i acy cons ain s. The
imp o emen is especially no able in la e epochs, indica ing
ha di e en ial p i acy does no supp ess he abili y o he
model o cap u e seman ic meaning. Ins ead, wi h mode a e
budge adjus men , i inds a balance be ween p i acy
p o ec ion and model e ec i eness.
Fo he P i acy Budge (

) me ic, he alues inc ease
s eadily wi h he accumula ion o aining epochs and sampling
a es. This means ha as he aining scale expands, p i acy
consump ion also accumula es. This e i ies he basic p inciple
ha di e en ial p i acy budge s a e g adually consumed du ing
aining. Combined wi h he o he me ics, his esul shows
ha he p i acy–pe o mance cu e o DP-LoRA has a clea
dynamic pa e n. As budge consump ion inc eases,
pe o mance me ics also imp o e, bu p i acy isks g ow a
he same ime. This highligh s he co e ade-o ha p i acy-
p ese ing ins uc ion uning mus add ess in eal applica ions.

This pape also e alua es he en i onmen al sensi i i y o
dis ibu ed/ ede a ed communica ion ounds and bandwid h
limi a ions o di e en ial p i acy accoun ing and model
pe o mance. The expe imen al esul s a e shown in Figu e 4.
Figu e 4. Analysis o he en i onmen al sensi i i y o
dis ibu ed/ ede a ed communica ion ounds and bandwid h
limi a ions o di e en ial p i acy accoun ing and model
pe o mance
Fo he ela ionship be ween communica ion ounds and
Pe plexi y, i can be seen ha as he numbe o ounds
inc eases, pe plexi y dec eases om a highe le el o a lowe
alue. This shows ha in dis ibu ed en i onmen s, DP-LoRA
educes he unce ain y o language modeling h ough mo e
i e a i e communica ions. The decline is signi ican , indica ing
ha unde di e en ial p i acy cons ain s, addi ional
communica ion ounds help he model adap be e o
dis ibu ed da a dis ibu ions, he eby imp o ing o e all
gene a ion quali y.
Fo he ela ionship be ween communica ion ounds and
p i acy budge , he cumula i e ε con inues o ise as he
numbe o i e a ions inc eases, and he g ow h a e accele a es
signi ican ly. This e eals ha in dis ibu ed and ede a ed
lea ning se ings, p i acy budge s a e consumed apidly when
communica ion equency inc eases. Fo DP-LoRA, his esul
highligh s ha imp o ing pe o mance comes a he cos o
highe p i acy consump ion. I also s esses he need o
easonably cons ain communica ion equency in p ac ice.
Fo he ela ionship be ween bandwid h and MIA-AUC, i
is obse ed ha as bandwid h inc eases, he success a e o
membe ship in e ence a acks dec eases signi ican ly. This
indica es ha highe bandwid h allows he model o ansmi
mo e comple e p i acy-p ese ing upda es in each ound,
which imp o es esis ance o a acks. This end has impo an
implica ions o di e en ial p i acy accoun ing, as sys em
esou ces no only enhance aining e iciency bu also di ec ly
s eng hen p i acy p o ec ion.
Fo he ela ionship be ween bandwid h and Ins uc ion
Adhe ence, as bandwid h inc eases om a low le el, he
adhe ence a e ises ma kedly, and unde high bandwid h, i
app oaches an ideal le el. This shows ha DP-LoRA is mo e
cons ained unde limi ed communica ion, while unde highe
bandwid h, i can be e le e age he ad an ages o di e en ial
p i acy ine- uning. This achie es a balance be ween p i acy
p o ec ion and pe o mance. The esul highligh s he
sensi i i y o di e en ial p i acy me hods o en i onmen al
condi ions and con i ms he p ac ical impac o bandwid h
limi a ions on ins uc ion modeling abili y.
Finally, his s udy e alua ed he da a sensi i i y o DP-
LoRA o he di e si y o ins uc ion ypes and he a io o ask
mix. The expe imen al esul s a e shown in Figu e 5.
Figu e 5.E alua ion o DP-LoRA's Da a Sensi i i y Based
on Ins uc ion Type Di e si y and Task Mix Ra io
As ins uc ion ype di e si y inc eases, Pe plexi y shows a
con inuous downwa d end. This indica es ha DP-LoRA can
be e lea n ins uc ion execu ion pa e ns when he da a
dis ibu ion becomes iche , he eby educing gene a ion
unce ain y. The imp o emen is especially clea when
ins uc ion ypes shi om low o high di e si y. The esul s
demons a e he posi i e e ec o di e se ins uc ions on
enhancing he gene aliza ion abili y o he model.
In e ms o p i acy a ack isks, MIA-AUC dec eases as
ins uc ion ypes and ask p opo ions a e op imized. This end
shows ha DP-LoRA has s onge esis ance in mo e complex
da a en i onmen s. Ins uc ion di e si y e ec i ely alle ia es
he p i acy leakage caused by o e i ing. I also allows he
di e en ial p i acy mechanism o play a s onge ole unde
hese condi ions, ensu ing he secu i y o p i a e da a du ing
ine- uning.
Ins uc ion Adhe ence imp o es signi ican ly wi h he
inc ease o ins uc ion di e si y, and he imp o emen is mo e
ob ious when ask p opo ions a e balanced. This demons a es
ha DP-LoRA can be e ollow inpu ins uc ions when he
da a is iche and he ask dis ibu ion is mo e easonable,
leading o s onge ins uc ion esponse abili y. The end
highligh s he impo ance o ins uc ion di e si y and ask
mix u e o lea ning seman ic consis ency. I also shows ha
hese ac o s a e key o main aining high pe o mance unde
p i acy p o ec ion.
Fo p i acy budge consump ion,

inc eases sligh ly
wi h highe ins uc ion di e si y and mo e balanced ask
p opo ions. This indica es ha mo e complex da a condi ions
equi e highe p i acy budge s o suppo lea ning. Howe e ,
he o e all g ow h emains con ollable. The esul emphasizes
ha DP-LoRA can balance e ec i eness and p i acy p o ec ion
unde complex ask condi ions. I imp o es pe o mance while
keeping p i acy cos s a a easonable le el.
5. Conclusion
This s udy p o ides a sys ema ic in es iga ion o he DP-
LoRA algo i hm o p i acy-p ese ing ins uc ion uning. The
goal is o add ess he challenges o p i acy leakage and
pe o mance e en ion in la ge models o ins uc ion- ollowing
asks. By in oducing di e en ial p i acy in o he model
s uc u e and combining i wi h pa ame e -e icien low- ank
adap a ion, he p oposed me hod es ablishes a heo e ical
balance be ween p i acy budge s and pe o mance. I also
demons a es easibili y in main aining s ong p i acy
p o ec ion and high e ec i eness ac oss mul iple dimensions.
The esul s show ha he me hod can educe pe plexi y and
imp o e ins uc ion adhe ence while signi ican ly mi iga ing
p i acy h ea s such as membe ship in e ence a acks. This
p o ides solid suppo o applying la ge models in secu i y-
sensi i e domains.
In expe imen al design and sensi i i y analysis, his s udy
e eals he obus ness o DP-LoRA o hype pa ame e s,
en i onmen al ac o s, and da a cha ac e is ics. Resul s unde
di e en communica ion ounds and bandwid h condi ions
show ha he me hod adap s well o he esou ce cons ain s o
dis ibu ed and ede a ed en i onmen s, while main aining
s ong pe o mance unde complex asks. Da a sensi i i y
expe imen s u he con i m he signi ican impac o
ins uc ion di e si y and ask mix u e on p i acy and
pe o mance. They also show ha p ope da a cons uc ion and
alloca ion can elie e he p essu e o p i acy consump ion.
These analyses no only demons a e he scalabili y o he
me hod bu also p o ide ac ionable guidance o deploying
di e en ial p i acy ine- uning in di e se applica ion scena ios.
F om an applica ion pe spec i e, DP-LoRA has po en ial
alue ac oss mul iple indus ies and asks. In ields such as
inancial isk con ol, heal hca e, and in elligen cus ome
se ice, whe e da a secu i y is c i ical, he me hod add esses
legal and e hical isks o p i acy leakage while ensu ing s able
ins uc ion- ollowing and gene a ion pe o mance. In addi ion,
in c oss-ins i u ion o mul i-pa y collabo a ion se ings, i can
se e as a s anda dized solu ion ha enables knowledge
ans e and model enhancemen wi hou sha ing aw da a. This
ex ends he applica ion bounda ies o la ge models in p i acy-
sensi i e en i onmen s.
Fu u e esea ch can p oceed in se e al di ec ions. One
impo an ques ion is how o u he imp o e model
pe o mance unde s ic e p i acy budge cons ain s. Ano he
di ec ion is o explo e mo e e icien pa ame e adap a ion
s a egies and p i acy-p ese ing mechanisms combined wi h
ede a ed lea ning, which will suppo he b oade deploymen
o la ge models. Mo eo e , applying DP-LoRA o c oss-modal
ins uc ions, pe sonalized ins uc ion ecommenda ion, and
au onomous agen sys ems will u he alida e i s gene ali y
and adap abili y in di e se scena ios. Wi h con inued
explo a ion and op imiza ion, he p oposed me hod has he
po en ial o p o ide a s onge echnical ounda ion o secu e
and us wo hy applica ions o la ge models and o d i e
p og ess in ela ed ields.
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