Théorie Géodésique de l'Information Sémantique — Geodesic Theory of Semantic Information (GTSI)

Q: What does this research mean for the field?

Meaning navigation in weighted semantic spaces, such as those of language models, can be mathematically modeled using a weighted geodesic equation that guarantees existence, uniqueness, and stability of optimal trajectories. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Alexandre Wolff

doi:10.5281/zenodo.20272576

October 31, 2025Open Access

Théorie Géodésique de l'Information Sémantique — Geodesic Theory of Semantic Information (GTSI)

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Key Points

This research aims to explore optimal trajectories for navigation in a weighted semantic space using geodesic principles.
Introduced weighted geodesic equation to analyze meaning navigation.
Demonstrated existence, uniqueness, and stability in semantic navigation.
Applied findings to embedding spaces of language models.
Established unique paths for meaning navigation based on the weighted geodesic equation.
Proved stability of trajectories in weighted semantic spaces.
Provided a framework applicable to bilingual language models.

Implication

Variational theory reveals unique paths for meaning navigation in language models, suggesting novel applications.

Abstract

Variational theory of optimal trajectories in a weighted semantic space. Introduces the weighted geodesic equation for meaning navigation, with existence, uniqueness, and stability results. Applicable to embedding spaces of language models. Version 2, bilingual FR/EN.

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Cite This Study

Alexandre Wolff (2025) studied this question.

synapsesocial.com/papers/6a0d5122f03e14405aa9d7a7 https://doi.org/10.5281/zenodo.20272576

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Théorie Géodésique de l'Information Sémantique — Geodesic Theory of Semantic Information (GTSI)

Key Points

Implication

Abstract

Discussion

Cite This Study

Théorie Géodésique de l'Information Sémantique — Geodesic Theory of Semantic Information (GTSI)

Key Points

Implication

Abstract

Discussion

Cite This Study

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