arXiv Machine Learning

Learning a Ranking from Human Feedback in Log-Concave Random Utility Models

arXiv Statistics ML
Aug 25

Learning to Select and Rank from Choice-Based Feedback: A Simple Nested Approach

The paper tackles a ranking and selection problem where a company learns from choice-based feedback presented in dynamic assortments. It introduces two efficient algorithms—Nested Elimination for best-item identification and Nested Partition for full-ranking identification—each with instance-specific, non-asymptotic sample-complexity guarantees that are asymptotically worst-case optimal. The authors analyze the algorithms via multi-dimensional random walks, extend the framework to capacity-constrained displays, and validate their results with synthetic and real data experiments.

By Junwen Yang, Yifan Feng
arXiv AI
Oct 1

On the Complexity of Preference-Based Bandits

The paper investigates preference-based bandits where a learner selects pairs of arms and receives binary preference feedback modeled by Bradley–Terry. It introduces the locally sensitive eluder dimension, a new complexity measure for logistic preference feedback, and proposes the GINOP algorithm that uses log-loss confidence sets to balance optimism and exploration. The authors prove a first-order regret bound showing that learning with preference feedback can be as statistically efficient as learning from direct rewards, and they validate their theory with empirical experiments.

By Ahmed Ben Yahmed (CREST, ENSAE Paris, FAIRPLAY), Marc Abeille (FAIRPLAY), Cl\'ement Calauz\`enes (FAIRPLAY)
arXiv AI
Sep 2

Keep Everyone Happy: Online Fair Division of Numerous Items with Few Copies

The paper introduces a new online fair division framework where a learner must allocate indivisible items to agents in real time, balancing fairness and efficiency. Traditional methods rely on many copies of each item to estimate utilities, but this is unrealistic for platforms with many users and few interactions. By treating utility as an unknown function of item-agent features and framing the problem as a contextual bandit, the authors propose algorithms that achieve sublinear regret and demonstrate their effectiveness experimentally.

By Arun Verma, Indrajit Saha, Makoto Yokoo, Bryan Kian Hsiang Low
arXiv Machine Learning
Sep 1

Adaptive Doubly Robust Off-Policy Evaluation for Ranking Policies under Diverse User Behavior

The paper introduces Adaptive Doubly Robust (ADR), an off‑policy evaluation method for ranking policies that blends adaptive importance weighting with reward regression to reduce variance. ADR is unbiased when the true user behavior model is known and, under a sufficient condition, achieves lower variance than the prior Adaptive Inverse Propensity Scoring (AIPS) approach. Experiments on synthetic data show that ADR consistently improves mean squared error over AIPS and other ranking OPE estimators across various data sizes and ranking lengths.

By Kosuke Iguchi, Ren Kishimoto
arXiv Machine Learning
Oct 22

Alternative Strategies for Active Learning with Bayesian Bradley Terry Model

The paper introduces a Bayesian Bradley‑Terry model (BBTM) that employs Polya‑Gamma data augmentation for efficient Gibbs sampling and quantifies uncertainty in latent abilities and ranks. Three active‑learning strategies based on the knowledge‑gradient principle are proposed, using Kendall’s tau distance, posterior rank entropy, and posterior separation as acquisition functions, with approximate one‑step updates to reduce computational cost. The authors also present Posterior Separation Reliability (PSR) as an internal indicator of ranking reliability, and demonstrate through synthetic experiments that BBTM outperforms preference‑based Bayesian comparative judgement, with the entropy‑based strategy excelling at low‑to‑moderate noise and the posterior‑separation strategy at high noise levels.

By Saman Jayasinghe, Sean Walton, Alma Rahat, Andy Gray, Chris Wheadon