# Online Clustering of Dueling Bandits

arXiv: https://arxiv.org/abs/2502.02079 · HTML: https://mlsanity.com/paper/2502.02079/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- Builds on 39 of its 63 references that are in the map.
- First posted on arXiv 4 Feb 2025.

## Builds on (most cited first, 30 of 39)

- [Neural Tangent Kernel: Convergence and Generalization in Neural Networks](https://mlsanity.com/paper/1806.07572/) (2018)
- [Principled Reinforcement Learning with Human Feedback from Pairwise or K-wise Comparisons](https://mlsanity.com/paper/2301.11270/) (2023)
- [Neural Thompson Sampling](https://mlsanity.com/paper/2010.00827/) (2020)
- [Neural Contextual Bandits with Deep Representation and Shallow Exploration](https://mlsanity.com/paper/2012.01780/) (2020)
- [Reducing Dueling Bandits to Cardinal Bandits](https://mlsanity.com/paper/1405.3396/) (2014)
- [Regret Lower Bound and Optimal Algorithm in Dueling Bandit Problem](https://mlsanity.com/paper/1506.02550/) (2015)
- [On Context-Dependent Clustering of Bandits](https://mlsanity.com/paper/1608.03544/) (2016)
- [EE-Net: Exploitation-Exploration Neural Networks in Contextual Bandits](https://mlsanity.com/paper/2110.03177/) (2021)
- [Efficient and Optimal Algorithms for Contextual Dueling Bandits under Realizability](https://mlsanity.com/paper/2111.12306/) (2021)
- [Neural Contextual Bandits without Regret](https://mlsanity.com/paper/2107.03144/) (2021)
- [Improved Algorithm on Online Clustering of Bandits](https://mlsanity.com/paper/1902.09162/) (2019)
- [Stochastic Contextual Dueling Bandits under Linear Stochastic Transitivity Models](https://mlsanity.com/paper/2202.04593/) (2022)
- [Prompt Optimization with Human Feedback](https://mlsanity.com/paper/2405.17346/) (2024)
- [A Relative Exponential Weighing Algorithm for Adversarial Utility-based Dueling Bandits](https://mlsanity.com/paper/1601.03855/) (2016)
- [Local Clustering in Contextual Multi-Armed Bandits](https://mlsanity.com/paper/2103.00063/) (2021)
- [PAC Battling Bandits in the Plackett-Luce Model](https://mlsanity.com/paper/1808.04008/) (2018)
- [Feel-Good Thompson Sampling for Contextual Dueling Bandits](https://mlsanity.com/paper/2404.06013/) (2024)
- [Offline Neural Contextual Bandits: Pessimism, Optimization and Generalization](https://mlsanity.com/paper/2111.13807/) (2021)
- [Sample-Then-Optimize Batch Neural Thompson Sampling](https://mlsanity.com/paper/2210.06850/) (2022)
- [Online Clustering of Contextual Cascading Bandits](https://mlsanity.com/paper/1711.08594/) (2017)
- [Batched Neural Bandits](https://mlsanity.com/paper/2102.13028/) (2021)
- [Variance-Aware Regret Bounds for Stochastic Contextual Dueling Bandits](https://mlsanity.com/paper/2310.00968/) (2023)
- [Active Ranking with Subset-wise Preferences](https://mlsanity.com/paper/1810.10321/) (2018)
- [Graph Neural Bandits](https://mlsanity.com/paper/2308.10808/) (2023)
- [Learning Neural Contextual Bandits Through Perturbed Rewards](https://mlsanity.com/paper/2201.09910/) (2022)
- [Federated Neural Bandits](https://mlsanity.com/paper/2205.14309/) (2022)
- [Combinatorial Neural Bandits](https://mlsanity.com/paper/2306.00242/) (2023)
- [Online Limited Memory Neural-Linear Bandits with Likelihood Matching](https://mlsanity.com/paper/2102.03799/) (2021)
- [Pure Exploration in Kernel and Neural Bandits](https://mlsanity.com/paper/2106.12034/) (2021)
- [Efficient Explorative Key-term Selection Strategies for Conversational Contextual Bandits](https://mlsanity.com/paper/2303.00315/) (2023)

## Built on by (most cited first, 3 of 3)

- [Linear and Neural Dueling Bandits with Delayed Feedback](https://mlsanity.com/paper/2605.26554/) (2026)
- [CUPID in the Model Zoo: Online Matchmaking for Selecting Your Dream LLM](https://mlsanity.com/paper/2606.00846/) (2026)
- [Online LLM Personalization from Pairwise Preferences Across Users](https://mlsanity.com/paper/2610.17203/) (2026)

## Abstract (arXiv)

The contextual multi-armed bandit (MAB) is a widely used framework for problems requiring sequential decision-making under uncertainty, such as recommendation systems. In applications involving a large number of users, the performance of contextual MAB can be significantly improved by facilitating collaboration among multiple users. This has been achieved by the clustering of bandits (CB) methods, which adaptively group the users into different clusters and achieve collaboration by allowing the users in the same cluster to share data. However, classical CB algorithms typically rely on numerical reward feedback, which may not be practical in certain real-world applications. For instance, in recommendation systems, it is more realistic and reliable to solicit preference feedback between pairs of recommended items rather than absolute rewards. To address this limitation, we introduce the first "clustering of dueling bandit algorithms" to enable collaborative decision-making based on preference feedback. We propose two novel algorithms: (1) Clustering of Linear Dueling Bandits (COLDB) which models the user reward functions as linear functions of the context vectors, and (2) Clustering of Neural Dueling Bandits (CONDB) which uses a neural network to model complex, non-linear user reward functions. Both algorithms are supported by rigorous theoretical analyses, demonstrating that user collaboration leads to improved regret bounds. Extensive empirical evaluations on synthetic and real-world datasets further validate the effectiveness of our methods, establishing their potential in real-world applications involving multiple users with preference-based feedback.
