Organizations: Beijing University of Posts and Telecommunications · Institute of Computing Technology, Chinese Academy of Sciences · University of Science and Technology of China · University of Shanghai for Science and Technology
Is human readability necessary for effective fine-tuning of large language models? We investigate whether model-conditioned training representations can preserve or improve adaptation utility without requiring a human-readable textual form. We propose Desired-Update-Aligned Synthetic Data (DASA), which uses activation-gradient feedback from a frozen reference model to guide the optimization of continuous synthetic input embeddings. Inspired by the role of activation gradients in local risk reduction, DASA targets useful adaptation updates rather than source-text reconstruction or linguistic fluency. The resulting embeddings are used directly for downstream fine-tuning; discrete token projections are employed only for qualitative inspection. Experiments on six models from the Llama and Qwen families, ranging from 1B to 32B parameters, cover six benchmarks spanning knowledge, mathematical reasoning, code generation, and commonsense reasoning. Under matched LoRA adaptation settings, DASA achieves performance comparable to the source natural-language data and surpasses it in multiple configurations, while outperforming GRADMM in most comparisons. Further experiments cover general-domain and task-specialized source data. Under the evaluated synthesis settings, DASA provides a 3.6--4.9× speedup over GRADMM with comparable peak GPU memory.
Figures & tables
Token Budget: 50 × 2048
Llama-3.2-1B
Llama-3.2-3B
Llama-3.1-8B
Method
MMLU
G8K
MATH
MBPP
ARC
CSQA
MMLU
G8K
MATH
MBPP
ARC
CSQA
MMLU
G8K
MATH
MBPP
ARC
CSQA
Base
45.79
46.32
32.70
49.6
54.61
59.13
58.62
82.03
51.40
68.4
73.72
73.87
65.41
85.90
50.70
75.4
82.08
75.92
Real-text
45.91
46.55
32.96
50.0
54.86
59.30
58.76
82.18
51.60
68.8
73.81
74.20
65.45
86.20
50.88
75.6
82.34
76.00
GRADMM
46.10
47.08
33.40
50.4
54.35
59.54
58.98
82.56
51.20
69.0
74.06
74.20
65.72
86.15
51.16
76.0
82.42
76.17
Ours
46.46
46.63
34.20
50.8
54.69
59.95
59.22
82.87
51.66
69.6
74.32
74.04
65.56
86.05
51.56
76.4
82.68
76.41
Table 1: Main results across models and tasks. Base, Real-text, GRADMM, and DASA under three C4 calibration budgets; all adaptation methods use identical LoRA and optimization settings.
Qwen3-8B
Qwen3-14B
Method
MMLU ↑
GSM8K ↑
MBPP ↑
MMLU ↑
GSM8K ↑
MBPP ↑
Random
71.8±0.35
87.9±0.48
55.2±0.8
77.9±0.31
90.1±0.41
62.6±0.6
Real-text
76.97±0.13
93.93±0.21
61.8±0.6
80.89±0.17
95.91±0.22
66.8±0.4
GRADMM
77.41±0.15
93.63±0.24
62.2±0.6
80.51±0.16
96.29±0.22
66.4±0.4
Ours
78.09±0.16
93.78±0.33
63.0±0.6
81.15±0.29
97.12±0.23
66.6±0.6
Table 2: Robustness across random seeds. Mean ± standard deviation over three independent runs under the 200×2048 data budget. Random uses Gaussian inputs matched to the mean and standard deviation of DASA’s initialization embeddings.
Specialized Data
Method
Qwen3-8B
Qwen3-14B
MMLU
GSM8K
MATH
MBPP
ARC-C
CSQA
MMLU
GSM8K
MATH
MBPP
ARC-C
CSQA
Base
74.90
91.89
83.98
59.6
64.33
81.98
78.85
93.86
84.76
64.6
66.98
81.00
Real-text
78.02
94.62
87.18
64.0
67.49
85.01
81.82
96.36
88.00
69.0
70.39
84.03
GRADMM
78.41
94.39
87.54
62.6
67.83
84.77
82.17
96.13
88.38
68.6
70.73
83.78
Ours
79.26
94.54
88.36
62.8
68.77
85.42
82.91
96.29
89.18
68.8
71.59
84.52
Table 3: Results with task-specialized calibration data. Calibration data are drawn from the corresponding training split for each benchmark: MMLU auxiliary train, GSM8K train, MATH train, MBPP train, ARC-Challenge train, and CommonsenseQA train. All adaptation methods use identical LoRA and optimization settings.
Generation Time (min) ↓
Peak Memory (GB) ↓
Method
50×2048
100×2048
200×2048
50×2048
100×2048
200×2048
GRADMM
28.3
57.4
84.2
17.3
17.7
17.9
DASA
5.8
11.6
23.3
17.3
17.4
17.9
Table 4: Computational efficiency. Generation time and peak GPU memory under three calibration budgets, measured on a single NVIDIA A800 GPU using FP16. GRADMM and DASA use matched sequence counts, sequence lengths, and synthetic-data optimization steps.
Figure 1: Sensitivity to LoRA rank and downstream optimization steps. Validation accuracy (%) under different LoRA ranks and numbers of downstream LoRA optimization steps for synthetic and real-text adaptation.
Figure 2: Qualitative example of DASA synthetic data. A human-readable solution is shown alongside a decoded visualization of an optimized continuous synthetic sample.