/**
 * INTERACTION — the variable-coupling map. The rarest thing a sequential optimizer can tell you: not just
 * "what's the best setting", but "which of your knobs INTERACT — where the best value of one depends on
 * another, so you cannot tune them independently."
 *
 * In real process design this is the difference between a recipe you can hand off ("set temp=X, pH=Y") and
 * one you can't ("the best temp depends on the pH"). Classical Design-of-Experiments studies interactions —
 * but black-box / sequential optimizers (the ones tuning ML models and assays today) just return a point and
 * never surface the coupling. INTERACTION fits a quadratic-with-cross-terms response model to the
 * measurements you already collected and reads off, for every pair of variables, how strong their
 * interaction is relative to their individual effects — a coupling map of your process.
 *
 * Honest by construction (DIAKRISIS): it is a second-order (quadratic) fit — it recovers pairwise
 * interactions exactly when the response is well-approximated by one (the gauntlet proves it recovers an
 * injected interaction coefficient), and it abstains when there are too few measurements to fit the model.
 * It reports correlation-of-effects, not a causal proof.
 */
import { type Space } from "./space.js";
import { type Observation, type Goal } from "./engine.js";
export interface InteractionPair {
    a: string;
    b: string;
    strength: number;
    importancePct: number;
    coupled: boolean;
}
export interface InteractionReport {
    n: number;
    pairs: InteractionPair[];
    strongest: InteractionPair | null;
    hasInteraction: boolean;
    note: string;
}
/** Fit a quadratic-with-interactions model and report the coupling strength of every variable pair. */
export declare function analyzeInteractions(obs: ReadonlyArray<Observation>, space: Space, _goal?: Goal): InteractionReport;
export declare function interactionGauntlet(): {
    score: 0 | 100;
    checks: Array<{
        name: string;
        pass: boolean;
        detail: string;
    }>;
};
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