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UCCI: Calibrated Uncertainty for Cost-Optimal LLM Cascade Routing

UCCI is a calibration-first router that maps token-level margin uncertainty to per-query error probability via isotonic regression and selects escalation threshold by constrained cost minimization. On a production NER workload, UCCI reduces inference cost by 31% at micro-F1=0.91 while reducing ECE from 0.12 to 0.03.

SourcearXiv Machine LearningAuthor: Varun Kotte

[2605.18796] UCCI: Calibrated Uncertainty for Cost-Optimal LLM Cascade Routing

[Submitted on 11 May 2026]

Title:UCCI: Calibrated Uncertainty for Cost-Optimal LLM Cascade Routing

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Abstract:LLM cascades and model routing promise lower inference cost by sending easy queries to a small model and escalating hard ones to a large model, but most deployed routers use uncalibrated confidence scores and require per-workload threshold tuning. We present UCCI, a calibration-first router that maps token-level margin uncertainty to a per-query error probability via isotonic regression and selects the escalation threshold by constrained cost minimization. Under three explicit assumptions, threshold policies on the calibrated score are cost-optimal, and isotonic calibration achieves O(n^{-1/3}) sample complexity for expected calibration error (ECE). On a production named entity recognition workload of 75,000 queries served by 4B and 12B instruction-tuned LLMs on H100 GPUs, UCCI cuts inference cost by 31% (95% CI: [27%, 35%]) at micro-F1 = 0.91 while reducing ECE from 0.12 to 0.03. At the same operating point, UCCI beats entropy thresholding, split-conformal routing, and a FrugalGPT-style learned threshold. All cascade results use end-to-end routing on actual model outputs and measured H100 latency, not simulated routing from global accuracies or nominal API prices.

Comments: 9 pages, 2 figures, 4 tables. Code: this https URL

Subjects:

Machine Learning (cs.LG); Computation and Language (cs.CL)

Cite as: arXiv:2605.18796 [cs.LG]

(or arXiv:2605.18796v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2605.18796

arXiv-issued DOI via DataCite

Submission history

From: Varun Kotte [view email] [v1] Mon, 11 May 2026 07:06:57 UTC (197 KB)

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