Self-Scaled Broyden Family of Quasi-Newton Methods in JAX

Fuente: arXiv
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Autori principali: Bioli, Ivan, Abarrategi, Mikel Mendibe
Natura: Preprint
Pubblicazione: 2026
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author Bioli, Ivan
Abarrategi, Mikel Mendibe
author_facet Bioli, Ivan
Abarrategi, Mikel Mendibe
contents We present a JAX implementation of the Self-Scaled Broyden family of quasi-Newton methods, fully compatible with JAX and building on the Optimistix~\cite{rader_optimistix_2024} optimisation library. The implementation includes BFGS, DFP, Broyden and their Self-Scaled variants(SSBFGS, SSDFP, SSBroyden), together with a Zoom line search satisfying the strong Wolfe conditions. This is a short technical note, not a research paper, as it does not claim any novel contribution; its purpose is to document the implementation and ease the adoption of these optimisers within the JAX community. The code is available at https://github.com/IvanBioli/ssbroyden_optimistix.git.
format Preprint
id arxiv_https___arxiv_org_abs_2603_10599
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Self-Scaled Broyden Family of Quasi-Newton Methods in JAX
Bioli, Ivan
Abarrategi, Mikel Mendibe
Mathematical Software
Machine Learning
We present a JAX implementation of the Self-Scaled Broyden family of quasi-Newton methods, fully compatible with JAX and building on the Optimistix~\cite{rader_optimistix_2024} optimisation library. The implementation includes BFGS, DFP, Broyden and their Self-Scaled variants(SSBFGS, SSDFP, SSBroyden), together with a Zoom line search satisfying the strong Wolfe conditions. This is a short technical note, not a research paper, as it does not claim any novel contribution; its purpose is to document the implementation and ease the adoption of these optimisers within the JAX community. The code is available at https://github.com/IvanBioli/ssbroyden_optimistix.git.
title Self-Scaled Broyden Family of Quasi-Newton Methods in JAX
topic Mathematical Software
Machine Learning
url https://arxiv.org/abs/2603.10599