TOPol: Capturing and Explaining Multidimensional Semantic Polarity Fields and Vectors
Gabin Taibi, Lucia Gomez

TL;DR
TOPol is a semi-unsupervised framework that captures and explains multidimensional semantic polarity shifts in discourse using transformer embeddings, manifold projection, and topic segmentation, enabling nuanced analysis of regime changes.
Contribution
It introduces a novel multidimensional polarity field framework that combines transformer embeddings, manifold learning, and topic segmentation for context-sensitive discourse analysis.
Findings
Successfully captures semantic polarity shifts in economic and consumer review corpora.
Provides interpretable polarity vectors and contrastive labels for regime analysis.
Demonstrates robustness to boundary definition variations.
Abstract
Traditional approaches to semantic polarity in computational linguistics treat sentiment as a unidimensional scale, overlooking the multidimensional structure of language. This work introduces TOPol (Topic-Orientation POLarity), a semi-unsupervised framework for reconstructing and interpreting multidimensional narrative polarity fields under human-on-the-loop (HoTL) defined contextual boundaries (CBs). The framework embeds documents using a transformer-based large language model (tLLM), applies neighbor-tuned UMAP projection, and segments topics via Leiden partitioning. Given a CB between discourse regimes A and B, TOPol computes directional vectors between corresponding topic-boundary centroids, yielding a polarity field that quantifies fine-grained semantic displacement during regime shifts. This vectorial representation enables assessing CB quality and detecting polarity changes,…
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