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Causality in Stereo: How Multi-Band Granger Unveils Frequency-Specific Influence

TL;DR for operators Signals do not always influence each other on one clock. A machine vibration may create a fast alarm signature and a slower thermal drift. A brain region may interact through one rhythm quickly and another rhythm slowly. A market signal may move through intraday noise, weekly positioning, and slower macro repricing. Treating all of that as one blended time series is convenient. It is also a rather efficient way to throw away the thing you wanted to understand. ...

August 4, 2025 · 15 min · Zelina