// 00SIGMA · Quantitative Engine · Lualdi Advisors

SIGMA·

Structure · Regime · Optimal Action

A quantitative system for detecting structure and driving optimal decisions in complex data.

SIGMA is a proprietary algorithm built over fifteen years inside live capital and commodity mandates. It identifies subtle multi-dimensional patterns where traditional analysis fails, detects real-time regime shifts in market and operational conditions, and outputs the optimal action — with measurable confidence — in milliseconds, on a single server, inside your own infrastructure.

// 01Capabilities

Find the structure.
Act on the regime.

Most quantitative pipelines fail at the same place: they generate predictions, then leave the decision to a human under time pressure. SIGMA inverts that. The output is the action itself — buy, hold, sell, hedge, wait — with the confidence bounds the operator needs to size it. Four core capabilities make this possible.

// CAPABILITY 01

Pattern Detection

Identifies subtle, multi-dimensional patterns in datasets where conventional statistics, time-series methods, or off-the-shelf ML fail to extract structure. Built for low signal-to-noise environments.

Multi-Dimensional · Non-Linear
// CAPABILITY 02

Regime Recognition

Detects in real time when the underlying conditions have shifted — market regime, demand pattern, operational state. The model knows when it is operating in-distribution and when it should stand down.

In/Out · Drift-Aware
// CAPABILITY 03

Decision Optimization

Outputs the optimal action under uncertainty, not a forecast. Reinforcement learning refines policy with measurable confidence as new conditions arrive. The decision, not the prediction, is the deliverable.

Action · Confidence-Bounded
// CAPABILITY 04

Adaptive Learning

Reinforcement-learning core that adjusts policy as conditions change, with explicit guardrails. No black-box drift — every adaptation is logged, attributable, and reversible.

RL · Guarded
// CAPABILITY 05

Compact Footprint

Runs in milliseconds on a single server. No GPU farm. No cloud round-trip. Self-hosted inside client infrastructure for security and latency reasons. Sized for the operator, not the vendor.

Single Server · Sub-ms
// CAPABILITY 06

Auditable

Every decision carries the inputs, the policy version, and the confidence at the time of output. Risk teams can replay any decision. Compliance can verify any chain.

Replay · Versioned
// 02Worked Example · Commodity Signal

A real query against a real tape. Decided.

Below: a representative SIGMA evaluation on a soft-commodity tape. Pattern detected, regime confirmed, optimal action emitted with confidence bounds. Every step replayable from the run log.

SIGMA · Coffee · ICE KC1 · 5m
Run 0x9A · v15.2
// Operator Query
Optimal action on KC1 over the next 4 hours?
// 01 PullICE KC1 tape · 5m bars · last 240 sessions
// 02 Frame32-dim feature space · 8 regime indicators · stationarity check
// 03 DetectPattern P-0117 matched at confidence 0.78 · in-distribution
// 04 PolicyRL policy v15.2.4 · last refit 2026.05.09
Decision · Cited · Replayable
// Stand
Action 03
HOLD
// Optimal
Action 01
LONG
// Defer
Action 02
WAIT
Expected · 4h horizon · 95% CI
+1.42%
Confidence 0.78 · Size 0.40R
REPLAYABLE · Inputs · Features · Policy · Decision Reply T+0.84ms
// 03The SIGMA Loop

Observe. Frame. Decide.

01

Observe

Ingest live tape, sensor stream, or operational telemetry. Feature extraction in milliseconds. The signal pipeline is self-hosted — your data does not leave your perimeter.

02

Frame

Regime check, pattern match against a 1,200+ template library, drift & in-distribution test. SIGMA refuses to act when conditions are out of its mandate.

03

Decide

Reinforcement-learning policy emits the optimal action with confidence and recommended size. The operator approves and executes. The decision is logged, versioned, replayable.

// 04SIGMA — Frequently Asked

Direct answers.

Is SIGMA a forecasting model?
No. SIGMA is a decision engine. The output is the optimal action — long, short, hedge, wait, hold — with confidence bounds, not a price forecast. Forecasting is a side-effect, not the deliverable.
What asset classes does SIGMA work on?
Today: soft commodities (coffee, cocoa, sugar, grains), energy (oil, natural gas, power), real estate signals, and select equity factor work. The core engine is asset-agnostic — what changes per mandate is the feature pipeline and pattern library.
How is SIGMA deployed?
Self-hosted on a single server inside client infrastructure. Latency budget under one millisecond. No cloud dependency. Data and models never leave the client environment unless explicitly architected for it.
Who owns the model?
The SIGMA engine is Lualdi Advisors proprietary IP, licensed per engagement. Client-specific feature pipelines, pattern libraries, and policy versions belong to the client. Output logs and decision histories belong to the client.
Can SIGMA be combined with MITHRIL?
Yes. SIGMA generates the optimal action. MITHRIL holds the operational world the action lands on — the obligations, the dependencies, the audit trail. Together they form the "decide → reason → approve → execute" loop.
//SIGMA Engagement

Quantitative discipline,
deployed inside your perimeter.

Self-hosted · Sub-millisecond · Replayable · Onboarding by referral