Convolutional Lie Operator for Sentence Classification

Fuente: arXiv
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Main Authors: Rim, Daniela N., Choi, Heeyoul
Format: Preprint
Published: 2025
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author Rim, Daniela N.
Choi, Heeyoul
author_facet Rim, Daniela N.
Choi, Heeyoul
contents Traditional Convolutional Neural Networks have been successful in capturing local, position-invariant features in text, but their capacity to model complex transformation within language can be further explored. In this work, we explore a novel approach by integrating Lie Convolutions into Convolutional-based sentence classifiers, inspired by the ability of Lie group operations to capture complex, non-Euclidean symmetries. Our proposed models SCLie and DPCLie empirically outperform traditional Convolutional-based sentence classifiers, suggesting that Lie-based models relatively improve the accuracy by capturing transformations not commonly associated with language. Our findings motivate more exploration of new paradigms in language modeling.
format Preprint
id arxiv_https___arxiv_org_abs_2512_16125
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Convolutional Lie Operator for Sentence Classification
Rim, Daniela N.
Choi, Heeyoul
Computation and Language
Traditional Convolutional Neural Networks have been successful in capturing local, position-invariant features in text, but their capacity to model complex transformation within language can be further explored. In this work, we explore a novel approach by integrating Lie Convolutions into Convolutional-based sentence classifiers, inspired by the ability of Lie group operations to capture complex, non-Euclidean symmetries. Our proposed models SCLie and DPCLie empirically outperform traditional Convolutional-based sentence classifiers, suggesting that Lie-based models relatively improve the accuracy by capturing transformations not commonly associated with language. Our findings motivate more exploration of new paradigms in language modeling.
title Convolutional Lie Operator for Sentence Classification
topic Computation and Language
url https://arxiv.org/abs/2512.16125