ENGINEERING BLOG
Technical research and engineering insights from the team building the operating system for responsible AI operations.
121 articles · Published by MARIA OS
Mathematical formalization of governance density across organizational scales, with phase-boundary analysis, civilization-scale extension, and convergence proofs
This paper presents a mathematical theory of governance density as a stability parameter across organizational scales, from individual agents to enterprises and civilizations. We formalize agentic-company dynamics as G_t = (A_t, E_t, S_t, Pi_t, R_t, D_t), derive analytical phase boundaries between stagnation, stable specialization, and chaos, and extend the framework to civilization scale through D_eff = 1 - (1 - D_company)(1 - D_civ). We prove convergence conditions via contraction-mapping arguments and analyze a market revaluation model P_{t+1} = P_t + kappa(V_t - P_t) + zeta_t to show how periodic shocks interact with governance density. The result is a unified control view of phase transitions in self-organizing multi-agent systems.
Formal convergence analysis, delegation-completeness theorems, and safety bounds for voice-mediated multi-agent governance systems
We present the Voice-Driven Agentic Avatar (VDAA) framework, a formal model of voice-mediated intellectual task delegation in multi-agent systems. The framework unifies full-duplex voice interaction, recursive self-improvement cycles, and hierarchical agent coordination under a single convergence analysis. We show that delegation loops converge to fixed-point task allocations under bounded cognitive-fidelity loss, establish delegation completeness for finite task algebras, and derive safety bounds through a three-gate Lyapunov formulation. Evaluation on MARIA VOICE reports 94.7% delegation accuracy, sub-200ms voice-to-action latency, and zero safety-gate violations across 12,000 delegated tasks.
Why meta-cognition in multi-agent systems should be decomposed by organizational scope, and how MARIA coordinates provide natural reflection boundaries
Meta-cognition in autonomous AI systems is often modeled as a monolithic self-monitoring layer. This paper argues that monolithic designs are structurally weak for multi-agent governance and introduces a three-layer architecture (Individual, Collective, System) that decomposes reflection by organizational scope. We map these layers to MARIA coordinates: Agent, Zone, and Galaxy. The update operator M_{t+1} = R_sys ∘ R_team ∘ R_self(M_t, E_t) forms a contraction under Banach fixed-point conditions when layer operators are Lipschitz-bounded, yielding convergence to a stable meta-cognitive equilibrium. We also show how scope constraints bound self-reference depth and mitigate infinite-regress failure modes. Across 12 MARIA OS deployments (847 agents), this architecture reduced collective blind spots by 34.2% and improved organizational learning rate by 2.1x versus flat baselines.
Convergent online learning for responsibility gate strength with provable stability guarantees
Static gate configurations degrade in non-stationary environments. When error distributions shift, fixed gates may over-escalate (wasting attention) or under-escalate (allowing harmful actions). This paper introduces an online adaptation rule using false-acceptance feedback: g_{t+1} = g_t + eta * (FAR_t - FAR_target). We analyze convergence and stability bounds, and report 94.2% convergence within 200 iterations across three deployments.
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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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