Semantic Distance Measurement based on Multi-Kernel Gaussian Processes

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Hauptverfasser: Cheng, Yinzhu, Xie, Haihua, Wang, Yaqing, He, Miao, Sun, Mingming
Format: Preprint
Veröffentlicht: 2025
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author Cheng, Yinzhu
Xie, Haihua
Wang, Yaqing
He, Miao
Sun, Mingming
author_facet Cheng, Yinzhu
Xie, Haihua
Wang, Yaqing
He, Miao
Sun, Mingming
contents Semantic distance measurement is a fundamental problem in computational linguistics, providing a quantitative characterization of similarity or relatedness between text segments, and underpinning tasks such as text retrieval and text classification. From a mathematical perspective, a semantic distance can be viewed as a metric defined on a space of texts or on a representation space derived from them. However, most classical semantic distance methods are essentially fixed, making them difficult to adapt to specific data distributions and task requirements. In this paper, a semantic distance measure based on multi-kernel Gaussian processes (MK-GP) was proposed. The latent semantic function associated with texts was modeled as a Gaussian process, with its covariance function given by a combined kernel combining Matérn and polynomial components. The kernel parameters were learned automatically from data under supervision, rather than being hand-crafted. This semantic distance was instantiated and evaluated in the context of fine-grained sentiment classification with large language models under an in-context learning (ICL) setup. The experimental results demonstrated the effectiveness of the proposed measure.
format Preprint
id arxiv_https___arxiv_org_abs_2512_12238
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Semantic Distance Measurement based on Multi-Kernel Gaussian Processes
Cheng, Yinzhu
Xie, Haihua
Wang, Yaqing
He, Miao
Sun, Mingming
Computation and Language
Artificial Intelligence
Semantic distance measurement is a fundamental problem in computational linguistics, providing a quantitative characterization of similarity or relatedness between text segments, and underpinning tasks such as text retrieval and text classification. From a mathematical perspective, a semantic distance can be viewed as a metric defined on a space of texts or on a representation space derived from them. However, most classical semantic distance methods are essentially fixed, making them difficult to adapt to specific data distributions and task requirements. In this paper, a semantic distance measure based on multi-kernel Gaussian processes (MK-GP) was proposed. The latent semantic function associated with texts was modeled as a Gaussian process, with its covariance function given by a combined kernel combining Matérn and polynomial components. The kernel parameters were learned automatically from data under supervision, rather than being hand-crafted. This semantic distance was instantiated and evaluated in the context of fine-grained sentiment classification with large language models under an in-context learning (ICL) setup. The experimental results demonstrated the effectiveness of the proposed measure.
title Semantic Distance Measurement based on Multi-Kernel Gaussian Processes
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2512.12238