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Journal of Information and Optimization Sciences cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

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Open Access Research Article

Entropy evolution in multilingual transformer models : An information-theoretic perspective

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pp. 3143–3151Vol. 47Issue 9-ASeptember 2026DOI: 10.47974/JIOS-2353XML
Received:
01 Dec 2025
Published Online:
30 Sep 2026
Article type:
Research Article
Language:
EN
Article no.:
JIOS-2353
Pages:
3143–3151

Abstract

Entropy is used to quantify uncertainty in probabilistic representations. Hence, studying how uncertainty evolves across layers in LLMs can help us understand how these models process different languages. This paper presents a layer-wise entropy analysis of how information is processed across layers of four different Transformer models using parallel data in English, Hindi, Marathi, and Gujarati. The Shannon entropy is computed for each layer and several information-theoretic metrics are derived, including entropy change, CR, JSD and LDI. In addition, four scalar measures like NLC, ACD, ES, and CLAS are used to summarise overall compression behaviour. The results show that autoregressive models exhibit largely monotonic entropy compression, whereas the multilingual model shows oscillatory compression and expansion patterns. English undergoes stronger and more efficient entropy reduction than Indic Languages, while Hindi and Marathi show closely aligned entropy trajectories. These findings support the use of entropy-based analysis as a diagnostic tool for analysing architectural behaviour and cross-lingual representational disparities in transformer models.

Keywords

Subject Classifications

68T0794A1768T5062B10

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