Linear Algebra in Predictive Conflict Analysis: Mathematical Frameworks for Forecasting and Mitigation

Linear Algebra in Predictive Conflict Analysis: Mathematical Frameworks for Forecasting and Mitigation | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 18 August 2025 V1 Latest version Share on Linear Algebra in Predictive Conflict Analysis: Mathematical Frameworks for Forecasting and Mitigation Author : Mitrajit Ghorui 0009-0009-6019-1383 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175555093.37173122/v1 259 views 94 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper creates an analytical approach to model conflict behaviors and network patterns and financial networks in interconnected systems. The proposed method combines Markov transition matrices which model probabilistic state shifts with subspace decomposition methods for networked data analysis that uses null space and singular values and LU factorization for following critical paths in transactional matrices. The proposed framework shows its effectiveness when implementing it to simulated conflict scenarios through which mathematical abstractions reveal system weaknesses to guide disruption planning. Supplementary Material File (linear_algebra_in_predictive_conflict_analysis__final.pdf) Download 995.17 KB Information & Authors Information Version history V1 Version 1 18 August 2025 Copyright This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License Keywords mathematical modeling mathematics modelling python science Authors Affiliations Mitrajit Ghorui 0009-0009-6019-1383 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 259 views 94 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Mitrajit Ghorui. Linear Algebra in Predictive Conflict Analysis: Mathematical Frameworks for Forecasting and Mitigation. Authorea . 18 August 2025. DOI: https://doi.org/10.22541/au.175555093.37173122/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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