Partition Scores Are Not System Scores: Deployment-Fidelity Gaps in Decomposed Algorithm Selection

📅 2026-09-12
📈 Citations: 0
Influential: 0
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🤖 AI Summary
研究解决了算法选择中分区得分与系统得分差异的问题,通过定义部署保真度差距G(R)并分析其影响,提出应同时报告分区和端到端得分。
📝 Abstract
Oracle-style quantities, including virtual best solvers, selected-portfolio VBS, virtual-best encodings, and best-in-family summaries, are widely reported as upper bounds on what a deployable selector could achieve. In decomposed algorithm selection, an analogous partition-level score grants an oracle choice of the best algorithm within the selected family; once the family selector is fixed, the deployable system must replace that within-family oracle with a learned within-family selector. We define the deployment-fidelity gap G(R) as the difference between partition-level and deployable end-to-end utility and derive two accounting consequences: a per-instance margin-regret stability condition that tells us when a partition-time family choice is deployment-optimal, and a sharp partition-only identification interval that, when it strictly crosses zero, prevents the partition-level report from certifying the deployable winner. Across five public algorithm-selection benchmarks spanning tabular AutoML and combinatorial CSP/SAT, every decomposed pipeline has positive G(R), ranging from 0.012 on TabZilla to 0.13 on PROTEUS-2014. Four of ten decomposed-versus-flat decisions have sign-changing point estimates; on PROTEUS-2014, a 33-point partition advantage shrinks to a 20-point end-to-end advantage. A training-side validation gap-correction diagnostic recovers the point-estimate deployable sign on all four sign-changing cells; it is a reporting aid, not a substitute for direct end-to-end evaluation. Partition and end-to-end scores should be reported side by side.
Problem

Research questions and friction points this paper is trying to address.

partition-level score
deployment-fidelity gap
end-to-end utility
decomposed algorithm selection
oracle-style quantities
Innovation

Methods, ideas, or system contributions that make the work stand out.

deployment-fidelity gap
partition-level score
end-to-end utility
margin-regret stability condition
identification interval
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