Research / Multi-Scale Regime Detection

SSRN preprintSSRN preprint 6484679, July 2026. Not peer reviewed.

Multi-Scale Regime Detection with Fuzzy Aggregation for Adaptive Sector Portfolio Management

Can a crash-avoidance overlay suppress false alarms by requiring independent stress signals to agree, and does one calibration transfer across asset classes?

Key results

-6.2% vs -41.7%
maximum drawdown vs SPY, walk-forward 2009 to 2025, net of 10 bp per trade
0.97 vs 0.58
Sharpe ratio vs SPY, at 4.6% annualized volatility (Calmar 0.94)
1.21 vs 0.51
Sharpe on factor portfolios with the calibration unchanged, vs equal weight
1.04 vs 0.11
Sharpe on international equities, unchanged, vs equal weight
CUSUM on z-scored returnsCross-sector correlationMarket breadthReturn skewness Max-of-top-2 consensus acts only when two detectors agree Sector baskets GARCH-t volatility terciles, OU half-life Capital-preservation overlay de-risk to implicit cash
Figure 1. Four orthogonal detectors feed a max-of-top-2 fuzzy consensus: the system de-risks only when at least two agree. Every threshold is estimated walk-forward.

Abstract

We propose a multi-scale regime detection framework that fuses four orthogonal stress detectors (CUSUM sequential analysis on z-score returns, rolling cross-sector correlation, market breadth, and rolling return skewness) into a unified stress probability via sigmoid-membership fuzzy inference. The aggregator uses a max-of-top-2 rule: it returns the second-largest membership, so at least two orthogonal detectors must agree before the system acts, structurally suppressing single-detector false alarms. The composite signal drives an adaptive sector portfolio that classifies eleven S&P 500 sector ETFs into three baskets by GARCH(1,1)-t conditional-volatility terciles and Ornstein-Uhlenbeck recovery half-life, with implicit cash allocation as the primary risk-reduction mechanism. In a walk-forward backtest (2009 to 2025, quarterly recalibration, 10 bps per trade, zero look-ahead), the framework is best understood as a capital-preservation overlay: it holds maximum drawdown to -6.2% (versus -41.7% for SPY) at 4.6% annualized volatility, for a Sharpe of 0.97 (versus SPY's 0.58) and Calmar 0.94. Benchmarked honestly, simple trend rules achieve higher raw Sharpe on the SPY universe; the architecture's distinctive value is generalization: applied unchanged to factor portfolios and international equities it scores Sharpe 1.21 and 1.04 against 0.51 and 0.11 for equal-weight.

Methods

  • Detectors: Page CUSUM on z-scored returns, rolling cross-sector correlation, market breadth, rolling skewness
  • Sigmoid-membership fuzzy inference with a max-of-top-2 rule
  • Baskets from GARCH(1,1)-t volatility terciles and Ornstein-Uhlenbeck recovery half-life; implicit cash
  • Walk-forward: 504-day training window, 63-day out-of-sample steps, quarterly recalibration

What it does not show

  • Simple trend rules post a higher raw Sharpe on the SPY universe; the case for this design is false-alarm suppression and cross-asset transfer.
  • Annual return is 5.8% vs 11.8% for SPY: a capital-preservation overlay, not a return maximizer.
regime detectionfuzzy consensuscapital preservationCUSUMwalk-forward validation

Cite

BibTeX
@article{yadav2026regime,
  title   = {Multi-Scale Regime Detection with Fuzzy Aggregation for Adaptive Sector Portfolio Management},
  author  = {Yadav, Tanishk},
  year    = {2026},
  journal = {SSRN Electronic Journal},
  note    = {Preprint, abstract 6484679}
}

Tanishk Yadav

MS Financial Engineering at New York University, graduating May 2027, and looking for full-time quantitative research roles. My master's thesis measures, in real time, when US debt dynamics turn self-reinforcing.

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