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Cost and Reward Infused Metric Elicitation (2501.00696v1)

Published 1 Jan 2025 in cs.LG

Abstract: In machine learning, metric elicitation refers to the selection of performance metrics that best reflect an individual's implicit preferences for a given application. Currently, metric elicitation methods only consider metrics that depend on the accuracy values encoded within a given model's confusion matrix. However, focusing solely on confusion matrices does not account for other model feasibility considerations such as varied monetary costs or latencies. In our work, we build upon the multiclass metric elicitation framework of Hiranandani et al., extrapolating their proposed Diagonal Linear Performance Metric Elicitation (DLPME) algorithm to account for additional bounded costs and rewards. Our experimental results with synthetic data demonstrate our approach's ability to quickly converge to the true metric.

Summary

  • The paper presents an algorithmic framework that integrates bounded cost and reward elements with traditional accuracy metrics.
  • It refines the DLPME approach by eliciting user-preferred performance metrics through implicit trade-offs among accuracy, cost, and reward.
  • Experimental results on synthetic data demonstrate high fidelity in metric elicitation, underscoring its scalability for multiclass classification.

Cost and Reward Infused Metric Elicitation

The paper "Cost and Reward Infused Metric Elicitation" by Chethan Bhateja et al. presents a novel approach towards enhancing machine learning performance metrics beyond traditional accuracy-based frameworks. Existing metric elicitation methods primarily focus on confusion matrix metadata, capturing accuracy metrics within the confines of model performance assessment. However, these methods overlook additional model feasibility considerations such as associated costs and rewards, which are critical in real-world applications. This paper extends previous works, especially in the domain of multiclass metric elicitation, by proposing an algorithmic framework that incorporates bounded costs and rewards into the metric elicitation process.

Introduction and Background

Metric elicitation is an essential element in machine learning aiming to select performance metrics that align closely with application-specific user preferences. These metrics are typically derived from user feedback, though acquiring such feedback can be costly. Traditional methods, like those of Hiranandani et al., utilize confusion matrices but fail to account for other model-related attributes such as monetary costs and latency. The paper builds on these works, notably the Diagonal Linear Performance Metric Elicitation (DLPME) algorithm, by integrating additional bounded costs and rewards, presenting a more holistic framework.

Methodology

The proposed algorithm modifies the DLPME approach by introducing reward terms and cost terms into the performance metric. These additional attributes are essential for practitioners interested in factors beyond mere accuracy, such as computational efficiency or financial expenditure. The elicitation process evaluates a vector of these weighted attributes, denoted by a\mathbf{a}, involving contributions from accuracy, rewards, and costs. The framework assumes implicit trade-offs between these features, relying on a data distribution that sustains these trade-offs for effective metric derivation.

Experimental Results

In verifying their approach, the authors utilized synthetic data and showcased the algorithm's capability to elicit true metrics with high fidelity. Through varying class and attribute configurations, they demonstrated the algorithm's efficiency and scalability. Objective function evaluation utilized a bounding mechanism on additional features, validating the approach both for binary and multiclass classification scenarios. The results indicated a low error margin between the elicited and actual metrics, substantiating the potential of their framework in accommodating costs and rewards.

Implications

Adapting machine learning models to consider factors beyond traditional evaluation metrics holds significant implications, enhancing their applicability in diverse domains such as finance, healthcare, and autonomous systems. Cost and reward-infused metrics empower stakeholders with enhanced model selection tools, promoting environmentally friendly, cost-efficient, and high-performance solutions.

Future Work

Avenues for future research include testing the framework on real-world datasets, expanding upon real-time dynamic measurement of costs and rewards, and refining the algorithm to handle non-linear utility functions. Further exploration into user-centric fairness constraints, especially in personalized and societal contexts, can also broaden the horizon of metric elicitation research.

In conclusion, this paper provides an insightful extension to the existing metric elicitation paradigm, offering a versatile algorithmic framework for refining model selection criteria to incorporate multifaceted application needs effectively. This development underscores a significant advancement towards a more integrated and practical approach to performance metric evaluation in machine learning.

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