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Main Authors: Lyu, Shen-Huan, Tan, Rong-Xi, Xue, Ke, He, Yi-Xiao, Huang, Yu, Zhang, Qingfu, Qian, Chao
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.04000
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author Lyu, Shen-Huan
Tan, Rong-Xi
Xue, Ke
He, Yi-Xiao
Huang, Yu
Zhang, Qingfu
Qian, Chao
author_facet Lyu, Shen-Huan
Tan, Rong-Xi
Xue, Ke
He, Yi-Xiao
Huang, Yu
Zhang, Qingfu
Qian, Chao
contents Offline model-based optimization (MBO) seeks to discover high-performing designs using only a fixed dataset of past evaluations. Most existing methods rely on learning a surrogate model via regression and implicitly assume that good predictive accuracy leads to good optimization performance. In this work, we challenge this assumption and study offline MBO from a learnability perspective. We argue that offline optimization is fundamentally a problem of ranking high-quality designs rather than accurate value prediction. Specifically, we introduce an optimization-oriented risk based on ranking between near-optimal and suboptimal designs, and develop a unified theoretical framework that connects surrogate learning to final optimization. We prove the theoretical advantages of ranking over regression, and identify distributional mismatch between the training data and near-optimal designs as the dominant error. Inspired by this, we design a distribution-aware ranking method to reduce this mismatch. Empirical results across various tasks show that our approach outperforms twenty existing methods, validating our theoretical findings. Additionally, both theoretical and empirical results reveal intrinsic limitations in offline MBO, showing a regime in which no offline method can avoid over-optimistic extrapolation.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04000
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the Learnability of Offline Model-Based Optimization: A Ranking Perspective
Lyu, Shen-Huan
Tan, Rong-Xi
Xue, Ke
He, Yi-Xiao
Huang, Yu
Zhang, Qingfu
Qian, Chao
Machine Learning
Offline model-based optimization (MBO) seeks to discover high-performing designs using only a fixed dataset of past evaluations. Most existing methods rely on learning a surrogate model via regression and implicitly assume that good predictive accuracy leads to good optimization performance. In this work, we challenge this assumption and study offline MBO from a learnability perspective. We argue that offline optimization is fundamentally a problem of ranking high-quality designs rather than accurate value prediction. Specifically, we introduce an optimization-oriented risk based on ranking between near-optimal and suboptimal designs, and develop a unified theoretical framework that connects surrogate learning to final optimization. We prove the theoretical advantages of ranking over regression, and identify distributional mismatch between the training data and near-optimal designs as the dominant error. Inspired by this, we design a distribution-aware ranking method to reduce this mismatch. Empirical results across various tasks show that our approach outperforms twenty existing methods, validating our theoretical findings. Additionally, both theoretical and empirical results reveal intrinsic limitations in offline MBO, showing a regime in which no offline method can avoid over-optimistic extrapolation.
title On the Learnability of Offline Model-Based Optimization: A Ranking Perspective
topic Machine Learning
url https://arxiv.org/abs/2603.04000