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arXiv · 2605.29917

Evaluating Parameter Transfer in FALQON Across Graph Families

Alisson dos Passos Fumaco·Marcos Vinicius Reballo·Fernando Augusto Caletti de Barros·Gabriel Fernandes Thomaz·Eduardo I. Duzzioni
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Abstract

We evaluate FALQON parameter transfer for Max-Cut, transferring sequences from small donors ($n \in \{8,10,12\}$) to 14-node recipients. Using 3-regular and Erd\H{o}s-R\'enyi families, we show that transfer success is dictated by the recipient graph, not the donor. Transfer excels for dense recipients -- achieving high approximation ratios regardless of the donor -- but remains challenging in sparse cross-family cases. Crucially, performance is highly resilient to donor size, with 8-node donors matching larger instances. Thus, cheap small graphs can provide robust parameters for larger targets, significantly reducing the measurement overhead of the feedback loop.

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Alisson dos Passos Fumaco, Marcos Vinicius Reballo, Fernando Augusto Caletti de Barros, Gabriel Fernandes Thomaz, Eduardo I. Duzzioni. 2026-05-28. Evaluating Parameter Transfer in FALQON Across Graph Families. https://arxiv.org/abs/2605.29917

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