Tracking System Health with Geometric Drift
![The study demonstrates a nuanced relationship between feature extraction (F), reliability (R), and operational toil (O) within a simplex, revealing that a Euclidean alarm can trigger even when the F/R ratio remains constant, while conversely, no alarm may sound despite an unsafe F/R ratio exceeding 1.5, indicating the limitations of a simple Euclidean threshold for accurately assessing system state when [latex] F = R [/latex] or [latex] F = 1.5R [/latex].](https://arxiv.org/html/2602.05483v1/x1.png)
A new approach leverages compositional data analysis to monitor evolving software systems and maintain reliable observability.
![The study demonstrates a nuanced relationship between feature extraction (F), reliability (R), and operational toil (O) within a simplex, revealing that a Euclidean alarm can trigger even when the F/R ratio remains constant, while conversely, no alarm may sound despite an unsafe F/R ratio exceeding 1.5, indicating the limitations of a simple Euclidean threshold for accurately assessing system state when [latex] F = R [/latex] or [latex] F = 1.5R [/latex].](https://arxiv.org/html/2602.05483v1/x1.png)
A new approach leverages compositional data analysis to monitor evolving software systems and maintain reliable observability.
![Electricity load forecasting performance-measured by metrics including mean squared error (MSE), spectral divergence, autocorrelation MSE, and maximum mean discrepancy-is evaluated across varying context lengths [latex] \ell [/latex], demonstrating the comparative efficacy of LISA, ALSA, and PTST models in predicting energy demand with established statistical rigor.](https://arxiv.org/html/2602.04906v1/figures/electricity_mse.png)
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