ENGINEERING BLOG
Technical research and engineering insights from the team building the operating system for responsible AI operations.
121 articles · Published by MARIA OS
Spectral analysis of the 111-agent communication matrix identifies eigenvalue-based bottleneck signatures and routing strategies
We analyze Planet 100's communication network as a weighted directed graph over 111 agents. Using the eigenvalue spectrum of the normalized communication matrix, we identify bottleneck regions from spectral partitions, derive routing strategies with minimum-cost flow optimization, and show that spectral-guided bandwidth allocation reduces cascading failures by 84% while improving end-to-end throughput by 2.3x.
How GNNs form the Structure Layer that models agent dependencies, information flow, and hierarchical topology in self-governing enterprises
Agentic companies can be modeled as graph structures, where agents connect through dependencies, information channels, and approval chains. This paper formalizes Graph Neural Networks as the Structure Layer (Layer 3), covering message-passing networks for organizational flow, spectral convolutions for hierarchy discovery, graph attention for dynamic topology, and link prediction for emerging dependencies. We also analyze influence-propagation matrices and spectral-radius indicators for governance stability, and describe integration with the MARIA OS Universe visualization.
Using spectral methods on evidence correlation matrices to identify inconsistencies, fabrication patterns, and systemic fraud signals
Traditional audit systems often rely on rule-based checks and statistical sampling, which can under-detect coordinated fabrication patterns. This paper introduces Evidence Coherence Spectral Analysis, a framework that treats evidence sets as vector spaces, builds correlation matrices from evidence attributes, and applies eigendecomposition to identify anomalous spectral gaps associated with inconsistency or fabrication risk. We define a coherence score, relate it to false-discovery behavior, and describe integration with MARIA OS Evidence Bundles. In controlled financial-statement audit experiments, spectral analysis detected 94.7% of fabricated evidence sets while maintaining a false-positive rate below 2.3%, with streaming support for near-real-time analysis.
Using eigendecomposition of correlation matrices to identify conflicting objectives across business universes
When business universes optimize in opposing directions, organizations incur both direct conflict cost and wasted optimization effort. This paper develops a linear-algebra framework for detecting negative correlations using correlation matrices, eigendecomposition, and spectral analysis. Negative eigenvalues in inter-universe correlation structures identify conflict clusters that require governance intervention rather than additional local optimization.
Spectral analysis of adjacency matrices reveals the optimal diffusion depth that maximizes signal-to-noise ratio in knowledge graph retrieval
Graph-based Retrieval Augmented Generation traverses knowledge graphs to gather context for language-model prompts. Each additional hop `h` in `A^h` can add useful context but also amplify noise through irrelevant paths. This paper models diffusion as matrix exponentiation with decay, derives signal-to-noise behavior by hop count using spectral decomposition, and identifies an optimal hop count `h*`. Across four enterprise knowledge graphs, the derived `h*` reduced hallucination rate by 43% versus fixed-depth traversal.
Using graph Laplacian analysis and Fiedler vectors to reveal hidden factional structure in multi-agent conflict networks
Repeated agent conflicts can form factional structures that are hard to detect from pairwise analysis alone. This paper applies spectral graph theory by constructing conflict-graph Laplacians, analyzing eigenspectra, and using the Fiedler vector to partition opposition groups. We extend to k-faction decomposition via higher eigenvectors and present visualization methods that translate spectral patterns into operational governance signals.
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Complete list of all 121 published articles. EN / JA bilingual index.
121 articles
All articles reviewed and approved by the MARIA OS Editorial Pipeline.
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