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Method△h functional forminsertion formmodified representationcomposition function
Existing Methods
Prefix Tuning softmax(xWqPT)Puparallelhead attnh←(1-λ)h+λ△h
AdapterReLU(hWdown)Wupsequentialffn/attnh←h+△h
LoRAxWdownWupparallelattn key/valh←h+s·△h
Proposed Variants
Parallel adapterReLU(hWdown)Wupparallelffn/attnh←h+△h
Muti-head parallel adapterReLU(hWdown)Wupparallelhead attnh←h+△h
Scaled parallel adapterReLU(hWdown)Wupparallelffn/attnh←h+s·△h
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Method# paramsXSum (R-1/2/L)MT (BLEU)
Prefix,l=2003.6%43.40/20.46/35.5135.6
SA (attn), r=2003.6%42.01/19.30/34.4035.3
SA (ffn),r=2002.4%43.21/19.98/35.0835.6
PA (attn), r=2003.6%43.58/20.31/35.3435.6
PA (ffn),r=2002.4%43.93/20.66/35.6336.4
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Method# params MT (BLEU)
PA (attn),r=200 Prefix,l=2003.6% 35.6 3.6% 35.6
MH PA (attn),r=2003.6% 35.8
Prefix,l=300.1% 35.2
-gating,l=300.1% 34.9
PA (ffn),r=300.1% 33.0
PA (attn),r=30 MH PA (attn),r=300.1% 33.7 0.1% 35.3
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Method (# params)MNLISST2
Full-FT (100%)87.6±.494.6±.4 93.7
Bitfit (0.1 %) Prefix (0.5%) LoRA (0.5%) Adapter (0.5%)84.7 86.3±.4 87.2±.4 87.2±.294.0±.1 94.2±.2 94.2±.1
MAM Adapter (0.5%) 87.4±.3 94.2±.3
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Method# paramsXSum (R-1/2/L)MT (BLEU)
Full fine-tuning+100%45.14/22.27/37.2537.7
Full fine-tuning (our run)100%44.81/21.94/36.8337.3
Bitfit (Ben Zaken et al., 2021)0.1%40.64/17.32/32.1926.4
Prompt tuning (Lester et al., 2021)0.1%38.91/15.98/30.8321.0
Prefix tuning (Li& Liang,2021),l=2003.6%43.40/20.46/35.5135.6
Pfeiffer adapter (Pfeiffer et al.,2021),r=6007.2%44.03/20.89/35.89±.13/.10/.0836.9±.1
LoRA (ffn),r=1027.2%44.53/21.29/36.28±.14/.07/.1036.8±.3
Parallel adapter (PA,ffn),r=102412.3%44.71/21.41/36.41±.16/.17/.1637.2±.1
PA (attn,r=30) + PA (ffn,r=512)6.7%44.29/21.06/36.12±.31/.19/.1837.2±.1
Prefix tuning (attn,l=3O) + LoRA (ffn,r=102)6.7%44.84/21.71/36.77±.07/.05/.0337.0±.1
MAM Adapter (our variant, l=30,r=512)6.7%45.06/21.90/36.87±.08/01/.0437.5±.1
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Method (# params)XSum (R-1/2/LSum)
LoRA (6.1%), s=444.59/21.31/36.25
LoRA (6.1%), s=144.17/20.83/35.74
PA (6.1%)44.35/20.98/35.98
Scaled PA (6.1%), s=444.85/21.54/36.58
Scaled PA(6.1%),trainable s44.56/21.31/36.29
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Methodnumber of parameters
Prompt Tuninglxd
Prefix Tuning (attn)2ld×3×12
Adapter variants (attn)2rd×3×12
Adapter variants (ffn)2rd ×2×12
LoRA (attn)4rd×3×12
LoRA (ffn)10rd ×2×12
MAM Adapter (our proposed model)）2ld×3×12+2rd×2×12
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Taskslrbatch sizels max grad norm weight decay train steps
XSum5e-564 sents0.10.10.01100K
enro MT5e-516384 tokens0.11.00.0150K
MNLI/SST21e-432 sents01.00.110 epochs
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NattnN
Prefix Tuning2ld一
Adapter variants2rd2rd
LoRA2 × 2rd=4rd 2×(rd+4dr)=10rd
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BART/mBARTLARGE RoBERTaBASE
Nattn
Nfn1
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Method# params (%) XSum (R-1/2/L)MTBLEU
Modified Representation: : attention
Prefix Tuning,r = 2003.6 43.40/20.46/35.51 9.235.6
Prefix Tuning,r = 51243.29/20.40/35.3735.1
LoRA,r= 20043.09/20.29/35.3736.2
Sequential Adapter,r = 20042.01/19.30/34.4035.3
Sequential Adapter,r = 51241.05/18.87/33.7134.7
Parallel Adapter,r = 20043.58/20.31/35.3435.6
Parallel Adapter,r = 51243.99/20.83/35.7736.2
Modified Representation: FFN
LoRA,r = 10244.59/21.31/36.2536.5
Sequential Adapter,r = 2002.4 43.21/19.98/35.0835.6
Sequential Adapter,r = 5126.1 43.72/20.75/35.6436.3
Sequential Adapter,r = 102412.3 43.95/21.00/35.9036.7
Parallel Adapter,r = 2002.4 43.93/20.66/35.6336.4
Parallel Adapter,r = 5126.1 44.35/20.98/35.9837.1
Parallel Adapter,r = 102412.3 44.53/21.24/36.2337.3
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