Comparing Few to Rank Many: Active Human Preference Learning using Randomized Frank-Wolfe

Autor: Thekumparampil, Kiran Koshy, Hiranandani, Gaurush, Kalantari, Kousha, Sabach, Shoham, Kveton, Branislav
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We study learning of human preferences from a limited comparison feedback. This task is ubiquitous in machine learning. Its applications such as reinforcement learning from human feedback, have been transformational. We formulate this problem as learning a Plackett-Luce model over a universe of $N$ choices from $K$-way comparison feedback, where typically $K \ll N$. Our solution is the D-optimal design for the Plackett-Luce objective. The design defines a data logging policy that elicits comparison feedback for a small collection of optimally chosen points from all ${N \choose K}$ feasible subsets. The main algorithmic challenge in this work is that even fast methods for solving D-optimal designs would have $O({N \choose K})$ time complexity. To address this issue, we propose a randomized Frank-Wolfe (FW) algorithm that solves the linear maximization sub-problems in the FW method on randomly chosen variables. We analyze the algorithm, and evaluate it empirically on synthetic and open-source NLP datasets.
Comment: Submitted to AISTATS 2025 on October 10, 2024
Databáze: arXiv