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Some signals carry useful warning information, but strength is uneven. Spread structure leads at the main two-week horizon; narrative pressure is most useful over one week.
Historical, out-of-sample classification evidence. This is a transparent warning system, not a deterministic crisis forecast.
Front-contract realized volatility
Can an unusually unstable front-month state precede a future stress-driven upward repricing episode?
Realized volatility captures disagreement and unstable price formation, which can indicate a fragile market state before a later tail event.
Directionally positive, but it behaves more like a current-state warning than a powerful standalone leading indicator for upward tail events.
$$S_t^{\mathrm{vol}}=\mathrm{fr\_realized\_vol}_t=\sqrt{\sum_{j=1}^{m_t}\left(r_{t,j}^{\log}\right)^2}$$$$X_t^{\mathrm{vol}}=\mathbf{1}\!\left\{S_t^{\mathrm{vol}}\ge q_{0.90}^{\mathrm{train}}\!\left(S^{\mathrm{vol}}\right)\right\}$$Held-out observations shown: 645. “Positive” means the anomaly rule fired before the selected future horizon; it does not imply causation.
Because volatility is persistent, part of the signal can reflect an already-unstable regime rather than a new upstream warning mechanism.
A lift of 1.28× means the continuous anomaly score ranks future tail-event dates 1.28 times better than the event base rate. It is evidence of association, not proof that the anomaly caused the event.
Canonical real-control result selected for each family and horizon. Full detail stays available without crowding the decision surface.
| Family | Horizon | Variant | AUC-PR | Base | Lift | Precision | Recall | F1 |
|---|---|---|---|---|---|---|---|---|
| Price Spike | h7 | abs log | 0.122 | 0.083 | 1.47× | 17.6% | 16.7% | 0.171 |
| Price Spike | h14 | abs log | 0.134 | 0.098 | 1.37× | 15.7% | 12.7% | 0.140 |
| Price Spike | h30 | abs log | 0.170 | 0.148 | 1.15× | 20.8% | 10.8% | 0.142 |
| Volatility Jump | h7 | raw rv | 0.125 | 0.083 | 1.51× | 16.1% | 16.7% | 0.164 |
| Volatility Jump | h14 | raw rv | 0.125 | 0.098 | 1.28× | 14.5% | 12.7% | 0.136 |
| Volatility Jump | h30 | raw rv | 0.165 | 0.148 | 1.12× | 25.0% | 14.0% | 0.179 |
| Spread / Contract Alignment | h7 | cross country max | 0.166 | 0.083 | 2.01× | 13.1% | 37.0% | 0.193 |
| Spread / Contract Alignment | h14 | m1 m3 abs | 0.146 | 0.098 | 1.49× | 20.8% | 39.7% | 0.273 |
| Spread / Contract Alignment | h30 | cross country max | 0.189 | 0.148 | 1.28× | 24.6% | 34.4% | 0.287 |
| Liquidity Deterioration | h7 | vov spread real | 0.138 | 0.085 | 1.61× | 16.0% | 10.5% | 0.127 |
| Liquidity Deterioration | h14 | vov spread all | 0.130 | 0.098 | 1.33× | 20.8% | 11.6% | 0.149 |
| Liquidity Deterioration | h30 | vov spread real | 0.172 | 0.140 | 1.23× | 26.1% | 10.0% | 0.145 |
| Market-Implied Coupling Pulse | h7 | coupling scaled max | 0.116 | 0.083 | 1.40× | 12.0% | 11.1% | 0.115 |
| Market-Implied Coupling Pulse | h14 | coupling scaled max | 0.136 | 0.098 | 1.40× | 18.0% | 14.3% | 0.159 |
| Market-Implied Coupling Pulse | h30 | it spot futures basis snap | 0.194 | 0.148 | 1.31× | 24.1% | 14.0% | 0.177 |
| GDELT Narrative Pressure | h7 | cwt | 0.203 | 0.082 | 2.48× | 18.2% | 26.9% | 0.217 |
| GDELT Narrative Pressure | h14 | log cwt | 0.114 | 0.100 | 1.13× | 8.6% | 14.3% | 0.107 |
| GDELT Narrative Pressure | h30 | log cwt | 0.137 | 0.152 | 0.90× | 6.9% | 7.5% | 0.072 |