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Applied Research Division
orthogonaLabs

We study the structure of intelligent systems.

Iterative systems with the right structure exhibit properties that challenge fundamental assumptions about computation. We find these structures, measure their properties, and publish the observations. The mechanisms remain proprietary.

Published Findings
orthogonaLabs2026-0318 min read

Inverse Cost Scaling in Iterative Convergence Systems

We demonstrate that iterative solvers with dimensional compression exhibit a counterintuitive property: computational cost decreases with iteration depth. Across three domains (radiosity rendering, financial equilibrium, differential equations), we observe 32x compute reduction on deep iterations through rank-adaptive compression and polar quantization. The hardest problems — those requiring the deepest convergence — become the cheapest to solve.

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MarkovPolo2026-0312 min read

Structural Pattern Recognition in Financial Order Flow

We demonstrate that iterative refinement of byte-level financial data produces sigma profiles that correlate with structural novelty in order flow. Backtested across 14 months of multi-exchange data, the approach identifies regime transitions 2-4 hours before traditional volatility indicators.

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Sentinel2026-0110 min read

Automated Compliance Verification in Home-Based Care Settings

Electronic visit verification and camera-based presence detection achieve 99.2% compliance accuracy across 1,400+ weekly visits.

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Eigenscope2026-0315 min read

Structural Anomaly Detection in High-Dimensional Research Data

We present a retrieval system that identifies structural patterns in research datasets that standard statistical pipelines classify as noise. Evaluated on three domains (genomics, materials science, and clinical trials), the system surfaces anomalies that correlate with subsequently validated findings at a rate 4.7x higher than baseline methods.

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Dydact Signals2026-0314 min read

Thermodynamic Anomaly Detection in Network Byte Streams

Network traffic analyzed at the byte level exhibits structural signatures that distinguish zero-day exploits from benign anomalies. We show that iterative refinement of raw packet data produces stability profiles where security-relevant events cluster in geometrically distinct regions, achieving a 94% true positive rate with a 0.3% false positive rate on the CICIDS-2017 benchmark.

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orthogonaLabs publishes empirical observations only. Proprietary mechanisms, architectures, and theoretical foundations are not disclosed in public research.