Systematic Risk-Managed Research

Market intelligence,
proven, not promised

Tail risk, regime transitions, and market-structure shifts — measured rigorously, validated forward, and claimed only when proven.

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Ensemble Model
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S&P 500
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Alpha
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Models
7+
Independent Signal Engines
167
Academic References
55000+
Validated Experiments
24/7
Live Computation
Research & Perspectives
The Big Ideas
Autonomous allocation changes everything: the structural advantages of continuous, automated portfolio management — and why they compound over time.
75 days
Traditional Latency
<1 sec
Autonomous Latency
$1.9M
30yr Fee Differential
Explore Ideas
Proprietary signals. Measurable edge.
Our research produces signals that are orthogonal to conventional quant factors. Each capability below is generated using alternative equations from recent advancements in mathematical physics.
Proprietary

Structural Tail Risk Estimation

Quantifies the real-time probability of a market regime transition into crisis. Our model has detected major market drawdowns up to 16 trading days in advance, with 76.5% precision on drawdowns exceeding 5%.

16d · max lead-time on observed drawdowns
Proprietary

Signal-to-Noise Decomposition

Separates genuine price momentum from microstructure noise and liquidity artifacts. Delivers a real-time signal quality score that tells you whether a move is driven by informed flow or temporary friction.

0–1 · continuous quality score per asset, per cycle
Proprietary

Adaptive Rebalancing Triggers

Monitors the structural stability of asset relationships in real time. Instead of trading on a fixed schedule, our architecture identifies exactly when portfolio factor exposures have shifted enough to warrant action — delivering measurably higher risk-adjusted returns per rebalance event.

+11.5% · Sharpe lift vs fixed-interval rebalancing
Proprietary

Market Regime Classification

Classifies the current market environment into one of four distinct regimes on a continuous coordinate system. Each regime maps to a measurably optimal allocation strategy, replacing subjective regime labels with quantitative precision.

4 · quadrant classifier · updated every cycle
Multi-Layer

Structural Breakdown Detection

Combines topological analysis of market microstructure with regime transition modeling. Detects when the geometry of return distributions is shifting before it becomes visible in price or volatility.

2 · independent signal layers cross-confirmed
Multi-Layer

Multi-Scale Regime Velocity

Analyzes how market dynamics shift across timescales — from intraday through weekly. Cross-scale divergence surfaces when short- and long-horizon dynamics decouple and feeds the regime read as one input among several — treated as a hypothesis under forward validation, not a settled early-warning signal.

intraday–weekly · cross-scale regime input
What the output looks like
Every visualization below drives a specific portfolio action. These are representative examples of the signals subscribers receive daily via API, email, or dashboard — each one tied to a concrete risk or allocation decision.

Structural Fragility Probability

40% 15% 5% 0% -90d -45d -15d now Low Elev. High Today 23% +16 pts / 30d P(drawdown > 5%, 30d forward) Contributing stress drivers — today vs 30d ago percentile Dispersion 82 Correlation 74 Volatility 58 Order flow 31 30d ago
Forward probability of a >5% drawdown over the next 30 days. Where VIX reads current turbulence and GARCH extrapolates recent variance, this is a non-perturbative forecast from the return manifold's topology, eigenvector rotation, double-well stress action, and order-flow asymmetry — structural cracks that appear before they register in variance.
Today's 23% reading is led by dispersion, up 14 percentile points in the last 30 days.
Portfolio impact
0% -4% -8% -12% Fragility > 15% → trim equity, add hedge, raise cash Drawdown Unhedged equity Post-trigger allocation −8% avoided
When fragility crosses into the Elevated zone, the portfolio automatically trims concentrated equity exposure, adds tail hedges, and raises cash — a rules-based risk response to deteriorating conditions, not a market forecast. The diagram above is a schematic of the mechanism.

Factor Eigenspace Stability

85% 68% 50% ω e₁ stable e₂ stable e₃ unstable Explained variance boundary Factor subspace geometry
We track the hidden structure behind asset returns — the factors that drive stocks to move together. When that structure starts rotating (amber arrow), correlations are about to break down, even if they still look normal on the surface.
Portfolio impact
Concentrated -15% Diversified early -3%

Multi-Horizon Risk Assessment

1W 1M 3M 6M Crisis Rate Shock SVB 2019 2020 2021 2022 2023 Time horizon risk decomposition
Low Elevated Critical
Risk doesn't look the same at every time horizon. A one-week spike might be noise, but when longer horizons light up together, the stress is structural. This heatmap shows you which horizons are under pressure and whether the risk is passing through or building up.
Portfolio impact
1-week signal only $100K $85K Multi-horizon $100K $97K $12K preserved
Measured results
Every signal is pre-registered with a frozen threshold before observations are recorded, then validated forward under statistical rigor. These are measured outcomes from live deployment.
Pre-Registered & Tracked
16d

Tail Risk Advance Warning

Primary crash signal tested across SPY, QQQ, IWM, DIA, and EEM over 2019–2023. At calibrated thresholds the signal achieved 76.5% precision on drawdowns exceeding 5%, with up to 16 trading days of advance warning. Continues live tracking with frozen thresholds for prospective Harvey-significance validation.

Live Results
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Top Model vs. S&P 500

Multi-asset portfolio running live since February 2026. Active positions across equities, digital assets, foreign exchange, and derivatives. Signal-guided allocation and automated risk management operating in real time.

All Models (Blended)
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S&P 500 Benchmark
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Models Active
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Pre-Registered
11

Hypotheses Under Test

Every signal has a pre-registered hypothesis with defined null conditions, required sample sizes, and multiple-testing correction. Over 65,000 prospective observations recorded across the registry. Validation architecture enforces statistical discipline automatically — signals are not promoted to live sizing until they clear the Harvey 2016 t>3 threshold on a frozen sample.

Live Tracking
27

Numerai Signals · Rounds Resolved

Our research model submits weekly to the Numerai Signals blind tournament for independent third-party validation. Resolved rounds counted here; full per-round scores published on the performance page. We do not claim a score until the tournament’s own robust-evaluation quorum is reached — Numerai’s Alpha metric requires a multi-month track record before it stabilises.

External validation is a multi-month process. We report resolved scores as they come in — not as they were expected to.
Rigorous foundations, peer-quality standards
Our signal architecture applies alternative equations from recent advancements in mathematical physics, grounded in 167+ academic references. Published whitepapers establish the theoretical foundation; proprietary implementation details remain internal.

Stochastic Mechanical Methods for Quantitative Portfolio Management

The foundational whitepaper. Develops a drift-diffusion architecture for decomposing asset dynamics, regime transition modeling via potential barrier analysis, and multi-scale signal construction with connections to 85+ works in the literature.

19 sections 85+ references Publication-grade

From Stochastic Calculus to Market Signals: A Practitioner's Guide

A self-contained pedagogical treatment bridging mathematical physics and quantitative finance. Designed for practitioners who want to understand the analytical foundations without a physics background.

15 sections Educational Self-contained

Cross-Disciplinary Quantitative Methods: A Literature Survey

Survey of 142 papers across 18 thematic areas spanning portfolio optimization, factor investing, regime detection, and cross-disciplinary quantitative methods. Maps the full research landscape informing our signal development.

18 areas 167 references 142 papers reviewed

Adaptive Portfolio Management: Architecture and Design Principles

Describes the architecture of our autonomous portfolio management engine. Signal integration, adaptive position sizing, risk controls, execution logic, and the feedback loop between signals and allocation decisions.

12 sections 20+ references Architecture overview
Experimental financial instruments
Our mathematical architecture doesn't just price existing derivatives — it suggests entirely new payoff structures that capture risks no standard contract addresses. Explore the Structuring Lab →
Experimental Instrument

Signal Quality Vaults

Payoffs linked to the ratio of genuine momentum versus market noise in a given asset or index. Allows passive investors to hedge signal degradation and active managers to isolate and trade alpha-quality regimes directly.

Payoff Noisy Clean = payoff Signal-to-noise ratio
Experimental Instrument

Regime Transition Options

Contracts that pay out when factor structure destabilizes beyond a threshold. Directly prices the cost of diversification failure — the unpriced risk that correlations suddenly reorganize during stress.

Stable No payout Shift Stressed Payout triggers 0% 100% Transition probability gauge
Experimental Instrument

Factor Stability-Linked Notes

Structured notes whose coupon adjusts based on the rate of change in asset relationship structure. Low coupon when factor exposures are stable; rising coupon compensates holders as structural instability increases.

12% 8% 4% 1% 2% 4% 6% 9% 12% Stable Unstable Coupon rises with factor instability →
Experimental Instrument

Tail Risk Protection Contracts

A swap contract whose floating leg references our proprietary tail risk probability surface across multiple time horizons. Unlike static volatility indices, the reference rate responds directly to changes in regime transition dynamics.

Normal conditions You pay fixed premium Crisis detected Contract pays you Payout scales with risk References live tail risk probability, not static volatility
Experimental Instrument

Adaptive Position Overlays

Options with knock-out barriers that respond to market noise intensity rather than price level. Natural risk control: positions self-deleverage when the market becomes untradeable, not when an arbitrary price level is breached.

Low noise Rising noise High noise Safety margin expands automatically with market noise
Research, market intelligence, and related publications
Selected academic work, market observations, and internal research directly connected to the mathematical methods underpinning our signal engines.
Academic

Persistence Landscapes for Regime Detection in Financial Time Series

Recent work on topological data analysis applied to market regime classification. Persistence landscapes provide stable, vectorizable features from return point clouds — directly relevant to our structural breakdown detection capabilities.

MDPI Computers, 2025
Academic

Stochastic Volatility Models with Non-Perturbative Corrections

Extends classical stochastic volatility with barrier-crossing corrections for tail events. Our tail risk probability architecture builds on this class of methods, adding multi-scale calibration and empirical validation against five major indices.

Quantitative Finance, 2025
Market Intelligence

Factor Structure Instability During Tariff-Driven Sell-Offs

Our factor-stability signals flagged elevated instability in equity correlations through the April 2025 tariff volatility. Risk-responsive rebalancing reduced exposure into the turbulence relative to a static allocation.

April 2025
Research Note

Cross-Scale Divergence: A Registered Hypothesis Under Forward Validation

Hypothesis registered in our research log with a pre-frozen threshold and lead-time window. Validation is forward-prospective under the Harvey quorum (N ≥ 20 live observations) — not via retrospective replay of historical stress events.

March 2026
Academic

Drift-Diffusion Decomposition in Asset Pricing: A Unified View

Survey of stochastic drift-decomposition methods applied to signal extraction in quantitative finance. Provides theoretical grounding for separating genuine momentum from market microstructure noise in real time.

Applied Stochastic Models, 2024
Market Intelligence

Adaptive Rebalancing: 45% Turnover Reduction in Live Portfolio

Preliminary results from our live deployment show that factor-stability-triggered rebalancing reduced unnecessary portfolio turnover by 45% compared to fixed weekly schedules, with no measurable sacrifice in risk-adjusted returns.

Q1 2026
Intelligence you can act on today
Every product delivers immediate, actionable value. You receive the signal outputs and research insights — our proprietary methods stay under the hood.
Starter
$5/mo
One physics-based signal that tells you when to be cautious. The single highest-impact edge for a small portfolio.
  • Weekly regime signal (Bull / Neutral / Bear / Crisis)
  • Tail risk alert (high / medium / low)
  • 3-bucket allocation (Stocks / Bonds / Gold)
  • Performance vs 60/40 benchmark
  • Email delivery
Coming Soon
Automated
$149/mo
Quantitative signal outputs via API. Integrate directly into your workflow.
  • Everything in Professional
  • REST API access with API key
  • Signal history archive (2 years)
  • Webhook push on regime changes
  • Client dashboard with full signal intelligence
Coming Soon
Automated Plus
$299/mo
High-volume signal feed with priority SLA, point-in-time replay, and P&L attribution for research teams.
  • Everything in Automated
  • 50,000 API calls / month
  • Point-in-time signal replay for audit
  • Priority webhook delivery
  • P&L attribution dashboard
Coming Soon
Institutional
Custom
Tailored deployment for funds, family offices, and advisory firms.
  • Everything in Automated Plus
  • Real-time streaming (sub-minute)
  • Custom asset universe
  • Dedicated integration support
  • Priority research requests

Download a sample report, or reach out to discuss how Quark fits your workflow.

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[email protected] · @QuarkResearch