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Prime Integer Relations for Market Regime Detection

Grigori Korotkikh 2026-08-05 14 min
PIRTradingCryptoSignal Processing
Only Institute — Prime Integer Relations for Market Regime Detection

Prime Integer Relations for Market Regime Detection

Overview

Prime Integer Relations (PIR) provide a mathematical framework for detecting regime changes in time-series data. We apply this to cryptocurrency markets.

The Theory

PIR exploits the fundamental structure of prime numbers to identify periodic and quasi-periodic patterns in financial data.

Implementation

The PIR Evolver Engine processes market data through multiple layers:

  1. Signal extraction from price/volume
  2. PIR decomposition
  3. Regime classification
  4. Position sizing with risk adjustment

Results

The top 16 crypto momentum rebalancer uses PIR-detected regimes to adjust exposure dynamically.


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