LOCUS: A Distribution-Free Loss-Quantile Score for Risk-Aware Predictions

📅 2026-03-02
📈 Citations: 0
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🤖 AI Summary
This work addresses the high-risk challenge posed by individual high-loss predictions in machine learning deployment by proposing a distribution-agnostic loss quantile scoring mechanism. Rather than modeling label uncertainty, the approach directly models prediction losses themselves, combining any loss predictor with split-conformal calibration to produce input-dependent, interpretable upper bounds on loss for a fixed predictive function—bounds that are comparable across samples. This method enables risk quantification without assumptions about the loss distribution, facilitating effective risk ranking and high-risk alerting. Experiments across 13 regression benchmarks demonstrate a significant reduction in the frequency of large-loss events, validating the framework’s effectiveness and practical utility in risk control.

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📝 Abstract
Modern machine learning models can be accurate on average yet still make mistakes that dominate deployment cost. We introduce Locus, a distribution-free wrapper that produces a per-input loss-scale reliability score for a fixed prediction function. Rather than quantifying uncertainty about the label, Locus models the realized loss of the prediction function using any engine that outputs a predictive distribution for the loss given an input. A simple split-calibration step turns this function into a distribution-free interpretable score that is comparable across inputs and can be read as an upper loss level. The score is useful on its own for ranking, and it can optionally be thresholded to obtain a transparent flagging rule with distribution-free control of large-loss events. Experiments across 13 regression benchmarks show that Locus yields effective risk ranking and reduces large-loss frequency compared to standard heuristics.
Problem

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

risk-aware prediction
loss quantile
distribution-free scoring
large-loss control
prediction reliability
Innovation

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

distribution-free
loss quantile
risk-aware prediction
calibration
predictive reliability
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Matheus Barreto
Department of Statistics, Federal University of São Carlos, São Carlos, São Paulo, Brazil
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Mário de Castro
Institute of Mathematics and Computer Science, University of São Paulo, São Carlos, São Paulo, Brazil
T
Thiago R. Ramos
Department of Statistics, Federal University of São Carlos, São Carlos, São Paulo, Brazil
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Denis Valle
School of Forest, Fisheries, and Geomatics Sciences, University of Florida, Gainesville, Florida, United States of America
Rafael Izbicki
Rafael Izbicki
Federal University of São Carlos
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