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src/lib/derby/generic.ts
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132
src/lib/derby/generic.ts
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// Algemeen kansmodel voor de overige koersen: zelfde opzet als het Derby-model
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// (z-scores × gewichten → softmax), maar zonder proef- en marktsignaal.
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// Signalen: uitslagen, snelheid (beste recente km-tijd), niveau (prijzengeld
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// van de laatste starts), startpositie en uitvalrisico.
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import type { Result } from './data';
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import type { Race, Runner } from './races';
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export type GWeights = {
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form: number;
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speed: number;
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level: number;
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draw: number;
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risk: number;
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halfLife: number;
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temperature: number;
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lambda: number;
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};
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export const gFeatureKeys = ['form', 'speed', 'level', 'draw'] as const;
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export type GFeatureKey = (typeof gFeatureKeys)[number];
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export const gDefaults: GWeights = {
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form: 1,
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speed: 1,
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level: 0.6,
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draw: 0.4,
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risk: 1,
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halfLife: 2,
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temperature: 1,
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lambda: 0.8
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};
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/** rensport: geen tijden, startbox minder belangrijk over 1900 m */
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export const defaultsFor = (race: Race): GWeights =>
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race.discipline === 'ren' ? { ...gDefaults, speed: 0, draw: 0.2, level: 0.8 } : { ...gDefaults };
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export const gPresets: Record<string, Partial<GWeights>> = {
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Standaard: {},
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Vorm: { form: 1.6, speed: 0.5, level: 0.4 },
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Snelheid: { form: 0.5, speed: 1.6, level: 0.4 },
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Niveau: { form: 0.6, speed: 0.6, level: 1.5 }
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};
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const SCALE = 0.55;
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const POSITION_POINTS: Record<number, number> = { 1: 1, 2: 0.75, 3: 0.6, 4: 0.45, 5: 0.35, 6: 0.25 };
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const positionPoints = (r: Result) => (r === 'D' ? 0 : (POSITION_POINTS[r] ?? 0.1));
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const DRAW_SCORE = [0, 0.6, 0.7, 0.6, 0.45, 0.4, 0.25, 0.1, 0, -0.2, -0.3];
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export type GFeatures = {
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form: number;
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speed: number;
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level: number;
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draw: number;
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pFail: number;
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/** welke signalen ontbraken en het veldgemiddelde kregen */
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estimated: GFeatureKey[];
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};
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const mean = (xs: number[]) => xs.reduce((a, b) => a + b, 0) / xs.length;
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function rawForm(h: Runner, w: GWeights): number | null {
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if (h.form.length === 0) return null;
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const decay = h.form.map((_, i) => Math.pow(0.5, i / w.halfLife));
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return h.form.reduce((s: number, r, i) => s + decay[i] * positionPoints(r), 0) / decay.reduce((a, b) => a + b, 0);
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}
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export function gFeatures(runners: Runner[], w: GWeights): GFeatures[] {
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const raw = runners.map((h) => ({
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form: rawForm(h, w),
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speed: h.times.length ? -Math.min(...h.times) : null,
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level: h.purses.length ? mean(h.purses.map((p) => Math.log(p))) : null
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}));
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const fill = (k: 'form' | 'speed' | 'level') => {
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const known = raw.map((r) => r[k]).filter((v): v is number => v !== null);
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return known.length ? mean(known) : 0;
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};
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const avg = { form: fill('form'), speed: fill('speed'), level: fill('level') };
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return runners.map((h, i) => {
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const estimated: GFeatureKey[] = [];
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const pick = (k: 'form' | 'speed' | 'level') => {
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const v = raw[i][k];
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if (v === null) estimated.push(k);
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return v ?? avg[k];
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};
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const disq = h.form.filter((r) => r === 'D').length;
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const poor = h.form.filter((r) => r !== 'D' && r >= 7).length;
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// debutanten: geen bewijs dat ze in de draf blijven
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const base = h.form.length === 0 ? 0.12 : 0.03;
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const pFail = Math.min(0.5, base + 0.1 * disq + 0.03 * poor);
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return { form: pick('form'), speed: pick('speed'), level: pick('level'), draw: DRAW_SCORE[h.n] ?? 0, pFail, estimated };
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});
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}
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/**
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* ondergrens voor de spreiding per signaal, anders wordt 0,2 s verschil in een
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* veld met drie bijna gelijke tijden een enorme z-score
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*/
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const SD_FLOOR: Record<GFeatureKey, number> = { form: 0.08, speed: 1, level: 0.3, draw: 0.15 };
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function zscores(values: number[], floor: number): number[] {
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const m = mean(values);
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const sd = Math.max(floor, Math.sqrt(mean(values.map((v) => (v - m) ** 2))));
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return values.map((v) => (v - m) / sd);
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}
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export type GPrediction = {
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horse: Runner;
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features: GFeatures;
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contributions: Record<GFeatureKey, number>;
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riskPenalty: number;
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logit: number;
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p: number;
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};
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export function gPredict(runners: Runner[], w: GWeights): GPrediction[] {
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if (runners.length === 0) return [];
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const feats = gFeatures(runners, w);
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const z = Object.fromEntries(gFeatureKeys.map((k) => [k, zscores(feats.map((f) => f[k]), SD_FLOOR[k])])) as Record<GFeatureKey, number[]>;
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const rows = runners.map((horse, i) => {
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const contributions = Object.fromEntries(gFeatureKeys.map((k) => [k, w[k] * z[k][i] * SCALE])) as Record<GFeatureKey, number>;
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const riskPenalty = w.risk * Math.log(1 - feats[i].pFail);
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const logit = Object.values(contributions).reduce((a, b) => a + b, 0) + riskPenalty;
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return { horse, features: feats[i], contributions, riskPenalty, logit, p: 0 };
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});
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const max = Math.max(...rows.map((r) => r.logit));
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const exp = rows.map((r) => Math.exp((r.logit - max) / w.temperature));
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const total = exp.reduce((a, b) => a + b, 0);
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rows.forEach((r, i) => (r.p = exp[i] / total));
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return rows.sort((a, b) => b.p - a.p);
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}
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