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Convergence for Discrete Parameter Update Schemes

Wilson, Paul; Zanasi, Fabio; Constantinides, George; (2025) Convergence for Discrete Parameter Update Schemes. In: Proceedings of the 17th Annual Workshop on Optimization for Machine Learning. Green open access

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Abstract

Modern deep learning models require immense computational resources, motivating research into low-precision training. Quantised training addresses this by representing training components in low-bit integers, but typically relies on discretising real-valued updates. We introduce an alternative approach where the update rule itself is discrete, avoiding the quantisation of continuous updates by design. We establish convergence guarantees for a general class of such discrete schemes, and present a multinomial update rule as a concrete example, supported by empirical evaluation. This perspective opens new avenues for efficient training, particularly for models with inherently discrete structure.

Type: Proceedings paper
Title: Convergence for Discrete Parameter Update Schemes
Event: OPT2025: 17th Annual Workshop on Optimization for Machine Learning
Open access status: An open access version is available from UCL Discovery
Publisher version: https://opt-ml.org/papers/2025/paper37.pdf
Language: English
Additional information: For the purpose of open access, the author(s) has applied a Creative Commons Attribution (CC BY) licence to any Author Accepted Manuscript version arising from this submission.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10221280
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