{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T15:52:33Z","timestamp":1773417153973,"version":"3.50.1"},"reference-count":44,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T00:00:00Z","timestamp":1773360000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Foundation of the Shaanxi Province Key Research and Development","award":["2021GY-341"],"award-info":[{"award-number":["2021GY-341"]}]},{"DOI":"10.13039\/501100017604","name":"Shaanxi Key Laboratory of Integrated and Intelligent Navigation","doi-asserted-by":"publisher","award":["SKLIIN-20190102"],"award-info":[{"award-number":["SKLIIN-20190102"]}],"id":[{"id":"10.13039\/501100017604","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Modern communication systems increasingly leverage multiple information streams\u2014including channel observations, statistical models, and contextual knowledge\u2014to enhance decoding reliability. However, the varying and often unpredictable quality of these sources poses a critical challenge: rigid combination rules fail when source reliability fluctuates, while manual tuning cannot adapt to dynamic operating conditions. This paper presents a neural decoder architecture that automatically learns to assess and fuse heterogeneous information sources based on their instantaneous reliability. Central to our design is a learnable gating module that dynamically weights information streams, demonstrating emergent Bayesian-like behavior\u2014increasing reliance on statistical models under high uncertainty while transitioning to observation-dominated processing as signal confidence improves. To combat the progressive dilution of auxiliary information in deep architectures, we propose a continuous injection strategy that refreshes auxiliary features at each processing layer through dedicated encoding pathways. The underlying message-passing network adopts a heterogeneous bipartite structure with direction-dependent edge parameterization, respecting the asymmetric computational roles inherent in iterative decoding algorithms. Comprehensive experiments validate that the proposed approach not only improves nominal performance but critically maintains robustness when auxiliary information quality degrades or becomes mismatched with actual conditions.<\/jats:p>","DOI":"10.3390\/e28030323","type":"journal-article","created":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T12:59:44Z","timestamp":1773406784000},"page":"323","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Reliability-Aware Neural Decoding with Adaptive Multi-Source Information Fusion"],"prefix":"10.3390","volume":"28","author":[{"given":"Pengxi","family":"Fu","sequence":"first","affiliation":[{"name":"Xi\u2019an Key Laboratory of Intelligent Perception and Autonomous Navigation for Low-Altitude Aircraft, Xijing University, Xi\u2019an 710123, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5765-0827","authenticated-orcid":false,"given":"Zhen","family":"Wang","sequence":"additional","affiliation":[{"name":"Xi\u2019an Key Laboratory of Intelligent Perception and Autonomous Navigation for Low-Altitude Aircraft, Xijing University, Xi\u2019an 710123, China"},{"name":"School of Computer Science, Northwestern Polytechnical University, Xi\u2019an 710129, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0490-7649","authenticated-orcid":false,"given":"Jianxin","family":"Guo","sequence":"additional","affiliation":[{"name":"Xi\u2019an Key Laboratory of Intelligent Perception and Autonomous Navigation for Low-Altitude Aircraft, Xijing University, Xi\u2019an 710123, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yushuai","family":"Zhang","sequence":"additional","affiliation":[{"name":"Xi\u2019an Key Laboratory of Intelligent Perception and Autonomous Navigation for Low-Altitude Aircraft, Xijing University, Xi\u2019an 710123, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feng","family":"Wang","sequence":"additional","affiliation":[{"name":"Xi\u2019an Key Laboratory of Intelligent Perception and Autonomous Navigation for Low-Altitude Aircraft, Xijing University, Xi\u2019an 710123, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rui","family":"Zhu","sequence":"additional","affiliation":[{"name":"Xi\u2019an Key Laboratory of Intelligent Perception and Autonomous Navigation for Low-Altitude Aircraft, Xijing University, Xi\u2019an 710123, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4141-320X","authenticated-orcid":false,"given":"Zhentao","family":"Huang","sequence":"additional","affiliation":[{"name":"Xi\u2019an Key Laboratory of Intelligent Perception and Autonomous Navigation for Low-Altitude Aircraft, Xijing University, Xi\u2019an 710123, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,3,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A Mathematical Theory of Communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell Syst. 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