Journal of Computer Applications ›› 2026, Vol. 46 ›› Issue (9): 2838-2846.DOI: 10.11772/j.issn.1001-9081.2025080969
• Data science and technology • Previous Articles
Zhenhui GONG1,2, Xiaoyu SHI1,2(
), Yun LU1,2, Yangcheng LIU3, Mingsheng SHANG1,2
Received:2025-08-26
Revised:2025-11-03
Accepted:2025-11-07
Online:2025-11-17
Published:2026-09-10
Contact:
Xiaoyu SHI
About author:GONG Zhenhui, born in 2000, M. S. candidate. His researchinterests include deep learning, reinforcement learning, recommender systems, group fairness.
龚镇辉1,2, 史晓雨1,2(
), 鲁云1,2, 刘阳成3, 尚明生1,2
通讯作者:
史晓雨
作者简介:龚镇辉(2000—),男,福建漳州人,硕士研究生,主要研究方向:深度学习、强化学习、推荐系统、群体公平性基金资助:CLC Number:
Zhenhui GONG, Xiaoyu SHI, Yun LU, Yangcheng LIU, Mingsheng SHANG. Fair recommendation framework for large language models with sensitive attribute absence[J]. Journal of Computer Applications, 2026, 46(9): 2838-2846.
龚镇辉, 史晓雨, 鲁云, 刘阳成, 尚明生. 面向敏感属性缺失的大语言模型公平推荐框架[J]. 《计算机应用》唯一官方网站, 2026, 46(9): 2838-2846.
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URL: https://www.joca.cn/EN/10.11772/j.issn.1001-9081.2025080969
| 数据集 | 指标 | 男性用户 | 女性用户 |
|---|---|---|---|
| MovieLens-1M | NDCG@5 | 0.019 5 | 0.014 4 |
| Loss | 0.430 2 | 0.570 0 | |
| Max Grad | 0.644 5 | 0.822 2 | |
| LastFM-360K | NDCG@5 | 0.013 5 | 0.013 1 |
| Loss | 0.961 0 | 0.977 8 | |
| Max Grad | 0.771 2 | 0.807 8 |
Tab. 1 Comparison of BIGRec indicators on different datasets
| 数据集 | 指标 | 男性用户 | 女性用户 |
|---|---|---|---|
| MovieLens-1M | NDCG@5 | 0.019 5 | 0.014 4 |
| Loss | 0.430 2 | 0.570 0 | |
| Max Grad | 0.644 5 | 0.822 2 | |
| LastFM-360K | NDCG@5 | 0.013 5 | 0.013 1 |
| Loss | 0.961 0 | 0.977 8 | |
| Max Grad | 0.771 2 | 0.807 8 |
| 模型 | 基准 | k | ML-1M | ML-100K | LastFM-360K | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 性别 | 年龄 | 性别 | 年龄 | 性别 | 年龄 | |||||||||
| BIGRec | Naive | 3 | 0.004 2 | 0.006 3 | 0.003 0 | 0.005 4 | 0.006 6 | 0.004 3 | 0.002 5 | 0.002 8 | 0.000 4 | 0.000 2 | 0.014 4 | 0.013 9 |
| 10 | 0.005 8 | 0.010 5 | 0.003 9 | 0.007 3 | 0.008 0 | 0.007 7 | 0.001 8 | 0.001 2 | 0.000 4 | 0.002 1 | 0.014 0 | 0.012 1 | ||
| FAIR-SAA | 3 | 0.002 3 | 0.003 4 | 0.002 9 | 0.004 7 | 0.000 1 | 0.002 2 | 0.000 9 | 0.000 5 | 0.000 4 | 0.000 1 | 0.010 9 | 0.010 3 | |
| 10 | 0.002 6 | 0.004 0 | 0.005 7 | 0.011 7 | 0.000 3 | 0.001 6 | 0.001 7 | 0.002 4 | 0.000 6 | 0.002 1 | 0.009 2 | 0.005 4 | ||
| FACTER | 3 | 0.001 2 | 0.001 1 | 0.008 8 | 0.010 8 | 0.001 8 | 0.001 9 | 0.015 6 | 0.018 2 | 0.000 4 | 0.000 4 | 0.004 4 | 0.004 4 | |
| 10 | 0.000 1 | 0.003 1 | 0.005 3 | 0.000 1 | 0.004 0 | 0.008 4 | 0.016 1 | 0.019 4 | 0.003 0 | 0.007 6 | 0.001 3 | 0.010 1 | ||
| TALLRec | Naive | 3 | 0.001 1 | 0.001 9 | 0.006 1 | 0.007 8 | 0.002 2 | 0.004 0 | 0.012 2 | 0.014 5 | 0.004 1 | 0.003 3 | 0.019 4 | 0.018 4 |
| 10 | 0.004 0 | 0.009 4 | 0.008 4 | 0.014 6 | 0.000 9 | 0.004 9 | 0.010 1 | 0.009 2 | 0.004 0 | 0.003 1 | 0.020 2 | 0.020 2 | ||
| FAIR-SAA | 3 | 0.002 2 | 0.002 0 | 0.003 1 | 0.003 2 | 0.006 6 | 0.006 4 | 0.000 9 | 0.001 8 | 0.002 7 | 0.001 7 | 0.015 2 | 0.014 3 | |
| 10 | 0.002 2 | 0.001 8 | 0.002 7 | 0.001 8 | 0.004 4 | 0.000 6 | 0.000 9 | 0.002 6 | 0.003 1 | 0.002 5 | 0.015 0 | 0.013 1 | ||
| FACTER | 3 | 0.004 8 | 0.005 2 | 0.002 7 | 0.002 0 | 0.002 5 | 0.002 5 | 0.002 2 | 0.003 0 | 0.001 1 | 0.003 0 | 0.002 8 | 0.002 3 | |
| 10 | 0.006 2 | 0.009 4 | 0.006 9 | 0.015 1 | 0.004 8 | 0.009 8 | 0.004 7 | 0.009 9 | 0.001 0 | 0.002 6 | 0.001 3 | 0.002 1 | ||
| DRFO | 3 | 0.000 8 | 0.002 7 | 0.006 8 | 0.009 2 | 0.002 2 | 0.001 9 | 0.012 9 | 0.016 3 | 0.000 1 | 0.000 2 | 0.001 9 | 0.002 4 | |
| 10 | 0.004 0 | 0.006 7 | 0.006 9 | 0.009 1 | 0.005 7 | 0.017 7 | 0.019 6 | 0.035 5 | 0.000 1 | 0.000 2 | 0.003 0 | 0.005 8 | ||
Tab. 2 Experimental results of group fairness metrics
| 模型 | 基准 | k | ML-1M | ML-100K | LastFM-360K | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 性别 | 年龄 | 性别 | 年龄 | 性别 | 年龄 | |||||||||
| BIGRec | Naive | 3 | 0.004 2 | 0.006 3 | 0.003 0 | 0.005 4 | 0.006 6 | 0.004 3 | 0.002 5 | 0.002 8 | 0.000 4 | 0.000 2 | 0.014 4 | 0.013 9 |
| 10 | 0.005 8 | 0.010 5 | 0.003 9 | 0.007 3 | 0.008 0 | 0.007 7 | 0.001 8 | 0.001 2 | 0.000 4 | 0.002 1 | 0.014 0 | 0.012 1 | ||
| FAIR-SAA | 3 | 0.002 3 | 0.003 4 | 0.002 9 | 0.004 7 | 0.000 1 | 0.002 2 | 0.000 9 | 0.000 5 | 0.000 4 | 0.000 1 | 0.010 9 | 0.010 3 | |
| 10 | 0.002 6 | 0.004 0 | 0.005 7 | 0.011 7 | 0.000 3 | 0.001 6 | 0.001 7 | 0.002 4 | 0.000 6 | 0.002 1 | 0.009 2 | 0.005 4 | ||
| FACTER | 3 | 0.001 2 | 0.001 1 | 0.008 8 | 0.010 8 | 0.001 8 | 0.001 9 | 0.015 6 | 0.018 2 | 0.000 4 | 0.000 4 | 0.004 4 | 0.004 4 | |
| 10 | 0.000 1 | 0.003 1 | 0.005 3 | 0.000 1 | 0.004 0 | 0.008 4 | 0.016 1 | 0.019 4 | 0.003 0 | 0.007 6 | 0.001 3 | 0.010 1 | ||
| TALLRec | Naive | 3 | 0.001 1 | 0.001 9 | 0.006 1 | 0.007 8 | 0.002 2 | 0.004 0 | 0.012 2 | 0.014 5 | 0.004 1 | 0.003 3 | 0.019 4 | 0.018 4 |
| 10 | 0.004 0 | 0.009 4 | 0.008 4 | 0.014 6 | 0.000 9 | 0.004 9 | 0.010 1 | 0.009 2 | 0.004 0 | 0.003 1 | 0.020 2 | 0.020 2 | ||
| FAIR-SAA | 3 | 0.002 2 | 0.002 0 | 0.003 1 | 0.003 2 | 0.006 6 | 0.006 4 | 0.000 9 | 0.001 8 | 0.002 7 | 0.001 7 | 0.015 2 | 0.014 3 | |
| 10 | 0.002 2 | 0.001 8 | 0.002 7 | 0.001 8 | 0.004 4 | 0.000 6 | 0.000 9 | 0.002 6 | 0.003 1 | 0.002 5 | 0.015 0 | 0.013 1 | ||
| FACTER | 3 | 0.004 8 | 0.005 2 | 0.002 7 | 0.002 0 | 0.002 5 | 0.002 5 | 0.002 2 | 0.003 0 | 0.001 1 | 0.003 0 | 0.002 8 | 0.002 3 | |
| 10 | 0.006 2 | 0.009 4 | 0.006 9 | 0.015 1 | 0.004 8 | 0.009 8 | 0.004 7 | 0.009 9 | 0.001 0 | 0.002 6 | 0.001 3 | 0.002 1 | ||
| DRFO | 3 | 0.000 8 | 0.002 7 | 0.006 8 | 0.009 2 | 0.002 2 | 0.001 9 | 0.012 9 | 0.016 3 | 0.000 1 | 0.000 2 | 0.001 9 | 0.002 4 | |
| 10 | 0.004 0 | 0.006 7 | 0.006 9 | 0.009 1 | 0.005 7 | 0.017 7 | 0.019 6 | 0.035 5 | 0.000 1 | 0.000 2 | 0.003 0 | 0.005 8 | ||
| 模型 | 基准 | k | ML-1M | ML-100K | LastFM-360K | |||
|---|---|---|---|---|---|---|---|---|
| NDCG | HR | NDCG | HR | NDCG | HR | |||
| BIGRec | Naive | 3 | 0.014 9 | 0.017 6 | 0.015 8 | 0.020 0 | 0.013 2 | 0.013 8 |
| 10 | 0.020 5 | 0.033 4 | 0.023 7 | 0.042 4 | 0.014 4 | 0.017 4 | ||
| FAIR-SAA | 3 | 0.016 3 | 0.019 0 | 0.015 4 | 0.020 0 | 0.012 4 | 0.013 0 | |
| 10 | 0.023 0 | 0.037 8 | 0.022 9 | 0.041 2 | 0.014 0 | 0.017 4 | ||
| FACTER | 3 | 0.018 6 | 0.022 7 | 0.013 7 | 0.018 1 | 0.007 7 | 0.008 7 | |
| 10 | 0.024 6 | 0.039 3 | 0.018 9 | 0.033 4 | 0.001 0 | 0.015 1 | ||
| TALLRec | Naive | 3 | 0.011 9 | 0.013 8 | 0.014 2 | 0.018 1 | 0.012 9 | 0.013 8 |
| 10 | 0.018 0 | 0.030 6 | 0.022 3 | 0.041 2 | 0.014 4 | 0.018 2 | ||
| FAIR-SAA | 3 | 0.011 3 | 0.013 0 | 0.015 2 | 0.018 5 | 0.012 6 | 0.013 4 | |
| 10 | 0.015 5 | 0.025 2 | 0.023 2 | 0.041 2 | 0.014 4 | 0.018 6 | ||
| FACTER | 3 | 0.014 8 | 0.017 1 | 0.009 7 | 0.012 3 | 0.007 9 | 0.008 7 | |
| 10 | 0.022 8 | 0.040 3 | 0.015 4 | 0.028 1 | 0.009 3 | 0.012 8 | ||
| DRFO | 3 | 0.013 7 | 0.018 6 | 0.018 7 | 0.024 4 | 0.006 9 | 0.009 3 | |
| 10 | 0.020 9 | 0.038 8 | 0.031 9 | 0.060 6 | 0.012 3 | 0.024 9 | ||
Tab. 3 Experimental results of recommendation performance metrics
| 模型 | 基准 | k | ML-1M | ML-100K | LastFM-360K | |||
|---|---|---|---|---|---|---|---|---|
| NDCG | HR | NDCG | HR | NDCG | HR | |||
| BIGRec | Naive | 3 | 0.014 9 | 0.017 6 | 0.015 8 | 0.020 0 | 0.013 2 | 0.013 8 |
| 10 | 0.020 5 | 0.033 4 | 0.023 7 | 0.042 4 | 0.014 4 | 0.017 4 | ||
| FAIR-SAA | 3 | 0.016 3 | 0.019 0 | 0.015 4 | 0.020 0 | 0.012 4 | 0.013 0 | |
| 10 | 0.023 0 | 0.037 8 | 0.022 9 | 0.041 2 | 0.014 0 | 0.017 4 | ||
| FACTER | 3 | 0.018 6 | 0.022 7 | 0.013 7 | 0.018 1 | 0.007 7 | 0.008 7 | |
| 10 | 0.024 6 | 0.039 3 | 0.018 9 | 0.033 4 | 0.001 0 | 0.015 1 | ||
| TALLRec | Naive | 3 | 0.011 9 | 0.013 8 | 0.014 2 | 0.018 1 | 0.012 9 | 0.013 8 |
| 10 | 0.018 0 | 0.030 6 | 0.022 3 | 0.041 2 | 0.014 4 | 0.018 2 | ||
| FAIR-SAA | 3 | 0.011 3 | 0.013 0 | 0.015 2 | 0.018 5 | 0.012 6 | 0.013 4 | |
| 10 | 0.015 5 | 0.025 2 | 0.023 2 | 0.041 2 | 0.014 4 | 0.018 6 | ||
| FACTER | 3 | 0.014 8 | 0.017 1 | 0.009 7 | 0.012 3 | 0.007 9 | 0.008 7 | |
| 10 | 0.022 8 | 0.040 3 | 0.015 4 | 0.028 1 | 0.009 3 | 0.012 8 | ||
| DRFO | 3 | 0.013 7 | 0.018 6 | 0.018 7 | 0.024 4 | 0.006 9 | 0.009 3 | |
| 10 | 0.020 9 | 0.038 8 | 0.031 9 | 0.060 6 | 0.012 3 | 0.024 9 | ||
| 模型 | k | ML-1M | LastFM-360K | ||||||
|---|---|---|---|---|---|---|---|---|---|
| NDCG | HR | NDCG | HR | ||||||
| FAIR-SAA(完整模型) | 10 | 0.002 6 | 0.004 0 | 0.023 0 | 0.037 8 | 0.000 6 | 0.002 1 | 0.014 0 | 0.017 4 |
| 自适应提示 | 10 | 0.004 9 | 0.006 4 | 0.022 2 | 0.035 6 | 0.002 5 | 0.001 7 | 0.011 1 | 0.013 4 |
| 对抗重加权学习 | 10 | 0.003 7 | 0.004 5 | 0.020 9 | 0.032 8 | 0.001 5 | 0.002 5 | 0.012 0 | 0.015 0 |
Tab. 4 Ablation study results
| 模型 | k | ML-1M | LastFM-360K | ||||||
|---|---|---|---|---|---|---|---|---|---|
| NDCG | HR | NDCG | HR | ||||||
| FAIR-SAA(完整模型) | 10 | 0.002 6 | 0.004 0 | 0.023 0 | 0.037 8 | 0.000 6 | 0.002 1 | 0.014 0 | 0.017 4 |
| 自适应提示 | 10 | 0.004 9 | 0.006 4 | 0.022 2 | 0.035 6 | 0.002 5 | 0.001 7 | 0.011 1 | 0.013 4 |
| 对抗重加权学习 | 10 | 0.003 7 | 0.004 5 | 0.020 9 | 0.032 8 | 0.001 5 | 0.002 5 | 0.012 0 | 0.015 0 |
| m | NDCG@10 | HR@10 | 性别 | 年龄 | ||
|---|---|---|---|---|---|---|
| 1 | 0.021 2 | 0.034 4 | 0.004 5 | 0.007 0 | 0.005 0 | 0.009 8 |
| 2 | 0.024 6 | 0.039 6 | 0.008 6 | 0.012 9 | 0.005 8 | 0.010 4 |
| 4 | 0.022 9 | 0.036 4 | 0.005 1 | 0.005 2 | 0.006 0 | 0.014 8 |
| 6 | 0.022 0 | 0.035 6 | 0.006 6 | 0.006 4 | 0.009 5 | 0.016 2 |
| 8 | 0.023 0 | 0.037 8 | 0.002 6 | 0.004 0 | 0.005 8 | 0.011 7 |
| 16 | 0.022 9 | 0.037 0 | 0.005 6 | 0.007 0 | 0.006 9 | 0.013 1 |
Tab. 5 Impact of number of contextual instance samples on performance
| m | NDCG@10 | HR@10 | 性别 | 年龄 | ||
|---|---|---|---|---|---|---|
| 1 | 0.021 2 | 0.034 4 | 0.004 5 | 0.007 0 | 0.005 0 | 0.009 8 |
| 2 | 0.024 6 | 0.039 6 | 0.008 6 | 0.012 9 | 0.005 8 | 0.010 4 |
| 4 | 0.022 9 | 0.036 4 | 0.005 1 | 0.005 2 | 0.006 0 | 0.014 8 |
| 6 | 0.022 0 | 0.035 6 | 0.006 6 | 0.006 4 | 0.009 5 | 0.016 2 |
| 8 | 0.023 0 | 0.037 8 | 0.002 6 | 0.004 0 | 0.005 8 | 0.011 7 |
| 16 | 0.022 9 | 0.037 0 | 0.005 6 | 0.007 0 | 0.006 9 | 0.013 1 |
| K | NDCG@10 | HR@10 | 性别 | 年龄 | ||
|---|---|---|---|---|---|---|
| 2 | 0.017 2 | 0.029 4 | 0.007 5 | 0.006 4 | 0.003 8 | 0.006 8 |
| 4 | 0.020 4 | 0.033 4 | 0.004 7 | 0.008 0 | 0.000 1 | 0.001 0 |
| 8 | 0.023 0 | 0.037 8 | 0.002 6 | 0.004 0 | 0.005 8 | 0.011 7 |
| 16 | 0.017 9 | 0.029 2 | 0.009 4 | 0.010 0 | 0.001 0 | 0.006 5 |
Tab. 6 Impact of cluster count on performance
| K | NDCG@10 | HR@10 | 性别 | 年龄 | ||
|---|---|---|---|---|---|---|
| 2 | 0.017 2 | 0.029 4 | 0.007 5 | 0.006 4 | 0.003 8 | 0.006 8 |
| 4 | 0.020 4 | 0.033 4 | 0.004 7 | 0.008 0 | 0.000 1 | 0.001 0 |
| 8 | 0.023 0 | 0.037 8 | 0.002 6 | 0.004 0 | 0.005 8 | 0.011 7 |
| 16 | 0.017 9 | 0.029 2 | 0.009 4 | 0.010 0 | 0.001 0 | 0.006 5 |
| 类别 | 电影名称 |
|---|---|
| 真实交互 | The Princess Bride (1987) |
| 高分偏好 | The Forrest Gump (1994);The Casablanca (1942) |
| 低分记录 | The Caligula (1980); The Halloween 4: The Return of Michael Myers (1988) |
Tab. 7 User profile and actual interactions of User_ID 6021
| 类别 | 电影名称 |
|---|---|
| 真实交互 | The Princess Bride (1987) |
| 高分偏好 | The Forrest Gump (1994);The Casablanca (1942) |
| 低分记录 | The Caligula (1980); The Halloween 4: The Return of Michael Myers (1988) |
| 排名 | 模型 | 推荐电影 | 类型 |
|---|---|---|---|
| 1 | BIGRec | The Bridge on the River Kwai (1957) | Drama, War |
| FAIR-SAA | The Godfather (1972) | Action, Crime, Drama | |
| 2 | BIGRec | The Bridge at Remagen (1969) | Action, War |
| FAIR-SAA | The Princess Bride (1987) | Action, Adventure, Comedy, Romance | |
| 3 | BIGRec | The Band Wagon (1953) | Comedy, Musical |
| FAIR-SAA | The Big Lebowski (1998) | Comedy, Crime | |
| 4 | BIGRec | The Great Escape (1963) | Adventure, War |
| FAIR-SAA | The Towering Inferno (1974) | Action, Drama |
Tab. 8 Comparison of recommendation lists from different models for User_ID 6021
| 排名 | 模型 | 推荐电影 | 类型 |
|---|---|---|---|
| 1 | BIGRec | The Bridge on the River Kwai (1957) | Drama, War |
| FAIR-SAA | The Godfather (1972) | Action, Crime, Drama | |
| 2 | BIGRec | The Bridge at Remagen (1969) | Action, War |
| FAIR-SAA | The Princess Bride (1987) | Action, Adventure, Comedy, Romance | |
| 3 | BIGRec | The Band Wagon (1953) | Comedy, Musical |
| FAIR-SAA | The Big Lebowski (1998) | Comedy, Crime | |
| 4 | BIGRec | The Great Escape (1963) | Adventure, War |
| FAIR-SAA | The Towering Inferno (1974) | Action, Drama |
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