Consensus-Driven Group Recommendation on Sparse Explicit Feedback: A Collaborative Filtering and Choquet-Borda Aggregation Framework
- URL: http://arxiv.org/abs/2603.21012v1
- Date: Wed, 14 Jan 2026 03:49:35 GMT
- Title: Consensus-Driven Group Recommendation on Sparse Explicit Feedback: A Collaborative Filtering and Choquet-Borda Aggregation Framework
- Abstract summary: This paper proposes a consensus-driven hybrid group recommendation framework.<n>It integrates neighborhood-based collaborative filtering with fuzzy aggregation to support agreement, fairness, and under sparsity.<n> Experimental results on real-world datasets show that the proposed method improves group-level consensus, satisfaction, and fairness, while maintaining a balanced level of novelty.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Group Recommender Systems (GRS) play an essential role in supporting collective decision-making among users with diverse and potentially conflicting preferences. However, achieving stable intra-group consensus becomes particularly challenging when only sparse userID-itemID-rating data are available and no demographic, contextual, or group-level information exists. This paper proposes a consensus-driven hybrid group recommendation framework that integrates neighborhood-based collaborative filtering with fuzzy aggregation to support agreement, fairness, and robustness under sparsity. A composite similarity measure, CBS (Combined Similarity), is derived from two enhanced similarity metrics introduced in prior work: a geometry-based measure that captures rating-pattern structure, and an uncertainty-aware measure that models belief, evidence, and disagreement in sparse co-rating contexts. This combination provides more stable estimation of missing ratings and supports consensus-oriented neighborhood construction. Candidate items are generated by merging per-user top-N predictions and further enriched using the Borda Count mechanism to mitigate skewed rating distributions and reinforce group-level agreement. Final group ratings are computed using the Choquet integral, which flexibly captures heterogeneous user influence while preserving fairness and supporting consensus formation. Experimental results on real-world datasets with different rating distributions show that the proposed method improves group-level consensus, satisfaction, and fairness, while maintaining a balanced level of novelty. Although the model does not rely on social information, its evaluation using trust-aware novelty measures indicates stable behavior in socially structured environments.
Related papers
- Imputation Meets Clustering: Exploiting Latent Subgroup Structure for Missing Data Recovery [52.29866804948133]
We propose CAGI (Cluster-Aware Generative Imputation), a framework that reformulates clustering and imputation as a mutually reinforcing co-optimization process.<n>Experiments on 14 benchmark datasets with 15 representative baselines demonstrate the superiority of CAGI.
arXiv Detail & Related papers (2026-07-08T02:50:02Z) - Rank-Constrained Deep Matrix Completion for Group Recommendation [0.0]
Group Rank-Constrained Deep Matrix Completion (Group RC-DMC) is a novel framework that extends RC-DMC by integrating group-level representation learning via a Set-Transformer aggregator.<n>Unlike most existing group recommender systems, Group RC-DMC unifies explicit low-rank regularization, linear encoder-decoder architectures, and attention-based nonlinear group modeling.<n> Experimental results on the MovieLens and Goodbooks datasets demonstrate that Group RC-DMC achieves superior reconstruction accuracy, measured by lower group RMSE.
arXiv Detail & Related papers (2026-06-01T09:09:46Z) - Conditional Predictive Inference for General Structured Data with Group Symmetries [0.43328790010087576]
C-SymmPI is a framework that achieves near-conditional coverage under general data structures with group symmetries.<n>Inspired by relaxed multi-accuracy, our approach reformulates conditional coverage as miscoverage error over a user-specified function class.<n>For computational efficiency, we develop two variants: a projection-based algorithm for high-dimensional observations, and a sampling-based algorithm for large or infinite groups.
arXiv Detail & Related papers (2026-05-18T06:41:20Z) - Balanced Aggregation: Understanding and Fixing Aggregation Bias in GRPO [70.38763678943648]
Reinforcement learning with verifiable rewards (RLVR) has become a central paradigm for improving reasoning and code generation in large language models.<n>Standard GRPO uses sequence aggregation, while recent work has advocated token aggregation as a better alternative.<n>We show that these two rules induce different optimization biases; token aggregation introduces sign-length coupling, while sequence aggregation implicitly downweights longer responses.
arXiv Detail & Related papers (2026-04-14T09:48:46Z) - VertCoHiRF: Decentralized Vertical Clustering Beyond k-means [7.0930706640450225]
VertCoHiRF is a fully decentralized framework for vertical federated clustering based on structural consensus across heterogeneous views.<n>Agents cluster their local views independently and reconcile their proposals through identifier-level consensus.<n>We analyze communication complexity and robustness, and experiments demonstrate competitive clustering performance in vertical federated settings.
arXiv Detail & Related papers (2026-02-07T00:06:23Z) - Interaction-Aware Gaussian Weighting for Clustered Federated Learning [58.92159838586751]
Federated Learning (FL) emerged as a decentralized paradigm to train models while preserving privacy.<n>We propose a novel clustered FL method, FedGWC (Federated Gaussian Weighting Clustering), which groups clients based on their data distribution.<n>Our experiments on benchmark datasets show that FedGWC outperforms existing FL algorithms in cluster quality and classification accuracy.
arXiv Detail & Related papers (2025-02-05T16:33:36Z) - Structured Conformal Inference for Matrix Completion with Applications to Group Recommender Systems [16.519348575982004]
We develop a conformal inference method to construct a joint confidence region for a given group of missing entries within a sparsely observed matrix.<n>Our method is model-agnostic and can be combined with any black-box'' matrix completion algorithm to provide reliable uncertainty estimation for group-level recommendations.
arXiv Detail & Related papers (2024-04-26T17:42:29Z) - A structured regression approach for evaluating model performance across intersectional subgroups [53.91682617836498]
Disaggregated evaluation is a central task in AI fairness assessment, where the goal is to measure an AI system's performance across different subgroups.
We introduce a structured regression approach to disaggregated evaluation that we demonstrate can yield reliable system performance estimates even for very small subgroups.
arXiv Detail & Related papers (2024-01-26T14:21:45Z) - Robust Consensus Clustering and its Applications for Advertising
Forecasting [18.242055675730253]
We propose a novel algorithm -- robust consensus clustering that can find common ground truth among experts' opinions.
We apply the proposed method to the real-world advertising campaign segmentation and forecasting tasks.
arXiv Detail & Related papers (2022-12-27T21:49:04Z) - Ordinal Graph Gamma Belief Network for Social Recommender Systems [54.9487910312535]
We develop a hierarchical Bayesian model termed ordinal graph factor analysis (OGFA), which jointly models user-item and user-user interactions.
OGFA not only achieves good recommendation performance, but also extracts interpretable latent factors corresponding to representative user preferences.
We extend OGFA to ordinal graph gamma belief network, which is a multi-stochastic-layer deep probabilistic model.
arXiv Detail & Related papers (2022-09-12T09:19:22Z) - Sparse-group boosting -- Unbiased group and variable selection [0.0]
We show that within-group and between-group sparsity can be controlled by a mixing parameter.
With simulations, gene data as well as agricultural data we show the effectiveness and predictive competitiveness of this estimator.
arXiv Detail & Related papers (2022-06-13T17:44:16Z) - Post-Contextual-Bandit Inference [57.88785630755165]
Contextual bandit algorithms are increasingly replacing non-adaptive A/B tests in e-commerce, healthcare, and policymaking.
They can both improve outcomes for study participants and increase the chance of identifying good or even best policies.
To support credible inference on novel interventions at the end of the study, we still want to construct valid confidence intervals on average treatment effects, subgroup effects, or value of new policies.
arXiv Detail & Related papers (2021-06-01T12:01:51Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.