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> ML_ALGORITHM // VECTOR-AUTOREGRESSION-VAR_v1.0

Vector Autoregression (VAR & VECM)

Classic econometric model that captures the linear dynamic interdependencies among multiple parallel time series by treating every variable symmetrically.

Multivariate Econometric Modelstime-series-forecastinghigh-intrinsicsmall (<1k)
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Computational Complexity
Training Complexity:O(n * (k * p)^2 + (k * p)^3) where k is number of series
Inference Complexity:O((k * p)^2)
Hardware Profile
CPU Friendly:Yes
Requires GPU:No
Memory Footprint:low
Interpretability & Data
Interpretability Tier:high-intrinsic
Training Data Needs:small (<1k)

Interpretability Assessment

Directly yields Granger causality test statistics and orthogonalized impulse response functions (IRF).

Suitable Tasks & Supported Modalities

Suitable Tasks:
multivariate econometricsgranger causality analysisimpulse response analysis
Supported Modalities:
time-series

Implementing Libraries

statsmodelsstatsmodels Developers / NumFOCUS · v0.14.4
View Spec
caret-r

Foundational Literature

Common Pitfalls & Warnings
  • Parameter count explodes as O(k^2 * p); modeling more than 10-15 series simultaneously causes severe degrees-of-freedom exhaustion and overfitting