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Main Authors: Li, Bin, Liu, Diwei, Hu, Zehong, Jia, Jia
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.22243
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author Li, Bin
Liu, Diwei
Hu, Zehong
Jia, Jia
author_facet Li, Bin
Liu, Diwei
Hu, Zehong
Jia, Jia
contents Online resource allocation under budget constraints critically depends on proper modeling of user arrival dynamics. Classical approaches employ stochastic user arrival models to derive near-optimal solutions through fractional matching formulations of exposed users for downstream allocation tasks. However, this is no longer a reasonable assumption when the environment changes dynamically. In this work, We propose the Universal Dual optimization framework UDuo, a novel paradigm that fundamentally rethinks online allocation through three key innovations: (i) a temporal user arrival representation vector that explicitly captures distribution shifts in user arrival patterns and resource consumption dynamics, (ii) a resource pacing learner with adaptive allocation policies that generalize to heterogeneous constraint scenarios, and (iii) an online time-series forecasting approach for future user arrival distributions that achieves asymptotically optimal solutions with constraint feasibility guarantees in dynamic environments. Experimental results show that UDuo achieves higher efficiency and faster convergence than the traditional stochastic arrival model in real-world pricing while maintaining rigorous theoretical validity for general online allocation problems.
format Preprint
id arxiv_https___arxiv_org_abs_2505_22243
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle UDuo: Universal Dual Optimization Framework for Online Matching
Li, Bin
Liu, Diwei
Hu, Zehong
Jia, Jia
Information Retrieval
Machine Learning
Online resource allocation under budget constraints critically depends on proper modeling of user arrival dynamics. Classical approaches employ stochastic user arrival models to derive near-optimal solutions through fractional matching formulations of exposed users for downstream allocation tasks. However, this is no longer a reasonable assumption when the environment changes dynamically. In this work, We propose the Universal Dual optimization framework UDuo, a novel paradigm that fundamentally rethinks online allocation through three key innovations: (i) a temporal user arrival representation vector that explicitly captures distribution shifts in user arrival patterns and resource consumption dynamics, (ii) a resource pacing learner with adaptive allocation policies that generalize to heterogeneous constraint scenarios, and (iii) an online time-series forecasting approach for future user arrival distributions that achieves asymptotically optimal solutions with constraint feasibility guarantees in dynamic environments. Experimental results show that UDuo achieves higher efficiency and faster convergence than the traditional stochastic arrival model in real-world pricing while maintaining rigorous theoretical validity for general online allocation problems.
title UDuo: Universal Dual Optimization Framework for Online Matching
topic Information Retrieval
Machine Learning
url https://arxiv.org/abs/2505.22243