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A class of monotone kernelized classifiers on the basis of the Choquet integral

Year: 2026

Type: article

Abstract: The key property of monotone classifiers is that increasing (decreasing) input values lead to increasing (decreasing) the output value. Preserving monotonicity for a classifier typically requires many constraints to be respected by modelling approaches such as artificial intelligence techniques. The type of constraints strongly depends on the modelling assumptions. Of course, for sophisticated models, such conditions might be very complex. In this study, we present a new family of kernels that we call it Choquet kernels. Henceforth, it allows for employing popular kernel‐based methods, such as support vector machines. Instead of a naïve approach with exponential computational complexity, we propose an equivalent formulation with quadratic time in the number of attributes. Furthermore, because coefficients derived from kernel solutions are not necessarily monotone in the dual form, different approaches are proposed to monotonize coefficients. Finally, experiments illustrate beneficial properties of the Choquet kernels.

Source: Opus4 THD (Technische Hochschule Deggendorf (THD))

DOI: 10.82491/opusthd-494

Authors: Fallah Tehrani, Ali, Strickert, Marc, Ahrens, Diane

Language: English

Topic: Machine Learning and ELM

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7203935897

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