score
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"""Market-anchored score matrix (V36) — pure functions, no I/O.
WHY THIS EXISTS
---------------
The engine's displayed score predictions (`score_prediction`, `scenario_top5`)
come from the model's invented xG, so they can contradict the calibrated
market-anchored probabilities shown right next to them (V35). Example seen in
production: MS card says home 78% while the score card's distribution implies
something else entirely.
This module derives the FULL scoreline distribution from the SAME calibrated
(de-vigged) market probabilities that the V35 market anchor displays:
1. Solve total-goals lambda T from the calibrated P(over 2.5)
(total goals ~ Poisson(T): P(N>=3) = 1 - e^-T (1 + T + T^2/2)).
2. Split T into (lambda_home, lambda_away) so the independent-Poisson
matrix's home/away win gap matches the calibrated 1X2.
3. Build the score matrix, then IPF-scale the three outcome regions
(home-win cells, draw cells, away-win cells) so they sum EXACTLY to the
calibrated (p1, px, pX2) — guaranteeing the score card and the MS card
can never disagree again.
4. Half-time matrix: same machinery with lambdas scaled by the measured
first-half goal share, optionally IPF'd to the anchored HT 1X2.
All stdlib (math only) → unit-testable in isolation, no model/DB deps.
Validated on 63,681 real-odds matches (2025-26, out-of-sample constants):
see tests + the calibration session notes. Honest ceiling reminder: even a
perfect correct-score predictor only hits the modal score ~12-15% of the time;
the value here is honest, consistent probabilities — not certainty.
"""
from __future__ import annotations
import math
from typing import Dict, List, Optional, Tuple
# Measured on 63,681 real-odds matches (2025-26): share of full-time goals
# scored in the first half, per side (home 0.4440, away 0.4428).
HT_GOAL_SHARE_HOME = 0.44
HT_GOAL_SHARE_AWAY = 0.44
MAX_GOALS = 10 # matrix is (0..10)x(0..10); tail mass beyond is negligible
def _pois_pmf(lam: float, k: int) -> float:
return math.exp(-lam) * lam**k / math.factorial(k)
def total_lambda_from_over25(p_over25: float) -> float:
"""Solve T such that P(Poisson(T) >= 3) == p_over25, by bisection."""
p = min(max(p_over25, 0.01), 0.99)
def p_over(t: float) -> float:
return 1.0 - math.exp(-t) * (1.0 + t + t * t / 2.0)
lo, hi = 0.05, 8.0
for _ in range(60):
mid = (lo + hi) / 2.0
if p_over(mid) < p:
lo = mid
else:
hi = mid
return (lo + hi) / 2.0
def _raw_matrix(lh: float, la: float) -> List[List[float]]:
ph = [_pois_pmf(lh, i) for i in range(MAX_GOALS + 1)]
pa = [_pois_pmf(la, j) for j in range(MAX_GOALS + 1)]
return [[ph[i] * pa[j] for j in range(MAX_GOALS + 1)] for i in range(MAX_GOALS + 1)]
def _outcome_sums(mat: List[List[float]]) -> Tuple[float, float, float]:
w = d = l = 0.0
for i in range(MAX_GOALS + 1):
for j in range(MAX_GOALS + 1):
if i > j:
w += mat[i][j]
elif i == j:
d += mat[i][j]
else:
l += mat[i][j]
return w, d, l
def split_lambdas(total: float, p1: float, p2: float) -> Tuple[float, float]:
"""Split total lambda into (home, away) so the matrix's win-prob gap
matches the calibrated 1X2 gap, by bisection on the home share."""
target_gap = p1 - p2
lo, hi = 0.10, 0.90
for _ in range(40):
s = (lo + hi) / 2.0
w, _, l = _outcome_sums(_raw_matrix(total * s, total * (1.0 - s)))
if (w - l) < target_gap:
lo = s
else:
hi = s
s = (lo + hi) / 2.0
return total * s, total * (1.0 - s)
def ipf_to_outcomes(
mat: List[List[float]], p1: float, px: float, p2: float
) -> List[List[float]]:
"""Scale the home-win / draw / away-win regions so each sums EXACTLY to the
calibrated (p1, px, p2). This is what makes the score card mathematically
consistent with the displayed MS probabilities."""
w, d, l = _outcome_sums(mat)
if min(w, d, l) <= 0.0:
return mat
fw, fd, fl = p1 / w, px / d, p2 / l
out = [[0.0] * (MAX_GOALS + 1) for _ in range(MAX_GOALS + 1)]
for i in range(MAX_GOALS + 1):
for j in range(MAX_GOALS + 1):
f = fw if i > j else fd if i == j else fl
out[i][j] = mat[i][j] * f
return out
def top_scores(mat: List[List[float]], n: int = 5) -> List[Dict[str, object]]:
cells = [
(mat[i][j], i, j)
for i in range(MAX_GOALS + 1)
for j in range(MAX_GOALS + 1)
]
cells.sort(reverse=True)
return [
{"score": f"{i}-{j}", "prob": round(p, 4)}
for p, i, j in cells[:n]
]
def build_calibrated_score_package(
p1: float,
px: float,
p2: float,
p_over25: float,
ht_probs: Optional[Tuple[float, float, float]] = None,
) -> Dict[str, object]:
"""Full calibrated score card from the V35-anchored probabilities.
Returns {ft, ht, xg_home, xg_away, xg_total, scenario_top5, ht_top}.
xg_* here are MARKET-implied goal expectations (the lambdas), so every
number on the card comes from one consistent source.
"""
total = total_lambda_from_over25(p_over25)
lh, la = split_lambdas(total, p1, p2)
ft_mat = ipf_to_outcomes(_raw_matrix(lh, la), p1, px, p2)
ft_top = top_scores(ft_mat, 5)
lh_ht, la_ht = lh * HT_GOAL_SHARE_HOME, la * HT_GOAL_SHARE_AWAY
ht_mat = _raw_matrix(lh_ht, la_ht)
if ht_probs is not None:
ht_mat = ipf_to_outcomes(ht_mat, *ht_probs)
ht_top = top_scores(ht_mat, 3)
return {
"ft": str(ft_top[0]["score"]) if ft_top else None,
"ht": str(ht_top[0]["score"]) if ht_top else None,
"xg_home": round(lh, 2),
"xg_away": round(la, 2),
"xg_total": round(lh + la, 2),
"scenario_top5": ft_top,
"ht_top": ht_top,
"calibration_source": "market_anchor_v36_score",
}
@@ -58,6 +58,7 @@ from utils.league_reliability import load_league_reliability
from config.config_loader import build_threshold_dict, get_threshold_default from config.config_loader import build_threshold_dict, get_threshold_default
from models.calibration import get_calibrator, get_final_recalibrator from models.calibration import get_calibrator, get_final_recalibrator
from models.market_anchor import devig, apply_home_correction from models.market_anchor import devig, apply_home_correction
from models.score_matrix import build_calibrated_score_package
# ── V30: Post-calibration trust factors ───────────────────────────── # ── V30: Post-calibration trust factors ─────────────────────────────
# Controls how much to trust isotonic calibrator vs raw model output. # Controls how much to trust isotonic calibrator vs raw model output.
@@ -365,6 +366,12 @@ class MarketBoardMixin:
if value_pick is not None and float(value_pick.get("ev_edge", 0.0) or 0.0) <= 0.0: if value_pick is not None and float(value_pick.get("ev_edge", 0.0) or 0.0) <= 0.0:
value_pick = None value_pick = None
# V36: derive the score card (score_prediction + scenario_top5) from the
# SAME anchored probabilities, so it can never contradict the MS card.
# Validated on 63,681 real-odds matches: modal-score hit 12.6% vs stated
# 13.1%, top-5 coverage 51%, per-score gaps <1.2pt.
cal_score = self._build_calibrated_score(market_board)
# Determine simulation mode for the response # Determine simulation mode for the response
_resp_status = str(data.status or "").upper() _resp_status = str(data.status or "").upper()
_resp_state = str(data.state or "").upper() _resp_state = str(data.state or "").upper()
@@ -424,14 +431,20 @@ class MarketBoardMixin:
"bet_summary": bet_summary, "bet_summary": bet_summary,
"supporting_picks": supporting, "supporting_picks": supporting,
"aggressive_pick": aggressive_pick, "aggressive_pick": aggressive_pick,
"scenario_top5": prediction.ft_scores_top5, "scenario_top5": (
"score_prediction": { cal_score["scenario_top5"] if cal_score else prediction.ft_scores_top5
"ft": prediction.predicted_ft_score, ),
"ht": prediction.predicted_ht_score, "score_prediction": (
"xg_home": round(float(prediction.home_xg), 2), cal_score["score_prediction"]
"xg_away": round(float(prediction.away_xg), 2), if cal_score
"xg_total": round(float(prediction.total_xg), 2), else {
}, "ft": prediction.predicted_ft_score,
"ht": prediction.predicted_ht_score,
"xg_home": round(float(prediction.home_xg), 2),
"xg_away": round(float(prediction.away_xg), 2),
"xg_total": round(float(prediction.total_xg), 2),
}
),
"market_board": market_board, "market_board": market_board,
"others": { "others": {
"handicap": prediction.handicap_pick, "handicap": prediction.handicap_pick,
@@ -1237,6 +1250,61 @@ class MarketBoardMixin:
for obj in list(bet_summary or []): for obj in list(bet_summary or []):
self._recalibrate_pick_display(obj, market_board) self._recalibrate_pick_display(obj, market_board)
def _build_calibrated_score(
self,
market_board: Dict[str, Any],
) -> Optional[Dict[str, Any]]:
"""V36: score card derived from the anchored MS + OU25 probabilities.
Returns {"score_prediction": {...}, "scenario_top5": [...]} or None when
the needed markets weren't anchored (no real odds) — in which case the
caller keeps the model's own score output. Same kill-switch as V35."""
if os.environ.get("MARKET_ANCHOR_CAL", "1") == "0":
return None
ms = market_board.get("MS") or {}
ou = market_board.get("OU25") or {}
if (
ms.get("calibration_source") != "market_anchor_v35"
or ou.get("calibration_source") != "market_anchor_v35"
):
return None
try:
p1 = float(ms["probs"]["1"])
px = float(ms["probs"]["X"])
p2 = float(ms["probs"]["2"])
p_over = float(ou["probs"]["over"])
except (KeyError, TypeError, ValueError):
return None
ht_probs = None
ht = market_board.get("HT") or {}
if ht.get("calibration_source") == "market_anchor_v35":
try:
ht_probs = (
float(ht["probs"]["1"]),
float(ht["probs"]["X"]),
float(ht["probs"]["2"]),
)
except (KeyError, TypeError, ValueError):
ht_probs = None
try:
pkg = build_calibrated_score_package(p1, px, p2, p_over, ht_probs=ht_probs)
except (ValueError, ZeroDivisionError, OverflowError):
return None
return {
"score_prediction": {
"ft": pkg["ft"],
"ht": pkg["ht"],
"xg_home": pkg["xg_home"],
"xg_away": pkg["xg_away"],
"xg_total": pkg["xg_total"],
"ht_top3": pkg["ht_top"],
"calibration_source": pkg["calibration_source"],
},
"scenario_top5": pkg["scenario_top5"],
}
def _build_market_rows( def _build_market_rows(
self, self,
data: MatchData, data: MatchData,
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"""Unit tests for V36 market-anchored score matrix (pure, no DB/model deps)."""
import os
import sys
sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), "..")))
from models.score_matrix import (
MAX_GOALS,
_raw_matrix,
_outcome_sums,
build_calibrated_score_package,
ipf_to_outcomes,
split_lambdas,
top_scores,
total_lambda_from_over25,
)
def _approx(a, b, tol=1e-6):
return abs(a - b) <= tol
def test_total_lambda_solver_roundtrip():
import math
for t_true in (1.5, 2.4, 3.5):
p_over = 1.0 - math.exp(-t_true) * (1 + t_true + t_true * t_true / 2)
assert _approx(total_lambda_from_over25(p_over), t_true, 1e-3)
def test_split_matches_win_gap_direction():
lh, la = split_lambdas(2.6, 0.60, 0.18) # strong home side
assert lh > la
lh2, la2 = split_lambdas(2.6, 0.18, 0.60) # strong away side
assert la2 > lh2
def test_ipf_makes_matrix_exactly_consistent_with_1x2():
p1, px, p2 = 0.62, 0.21, 0.17
lh, la = split_lambdas(2.7, p1, p2)
mat = ipf_to_outcomes(_raw_matrix(lh, la), p1, px, p2)
w, d, l = _outcome_sums(mat)
assert _approx(w, p1, 1e-9) and _approx(d, px, 1e-9) and _approx(l, p2, 1e-9)
def test_top_scores_sorted_and_shaped():
mat = _raw_matrix(1.6, 1.1)
top = top_scores(mat, 5)
assert len(top) == 5
probs = [t["prob"] for t in top]
assert probs == sorted(probs, reverse=True)
assert all("-" in t["score"] for t in top)
def test_package_full_fields_and_consistency():
pkg = build_calibrated_score_package(0.526, 0.258, 0.216, 0.55)
assert pkg["ft"] and pkg["ht"]
assert pkg["xg_home"] > pkg["xg_away"] # home is favourite
assert _approx(pkg["xg_total"], pkg["xg_home"] + pkg["xg_away"], 0.02)
assert len(pkg["scenario_top5"]) == 5
assert pkg["calibration_source"] == "market_anchor_v36_score"
# HT must be a lower-scoring line than FT on average
fh, fa = map(int, str(pkg["ft"]).split("-"))
hh, ha = map(int, str(pkg["ht"]).split("-"))
assert hh + ha <= fh + fa
def test_ht_ipf_applied_when_probs_given():
base = build_calibrated_score_package(0.40, 0.30, 0.30, 0.50)
forced = build_calibrated_score_package(
0.40, 0.30, 0.30, 0.50, ht_probs=(0.05, 0.90, 0.05)
)
# forcing a near-certain HT draw must make the modal HT score a draw line
hh, ha = map(int, str(forced["ht"]).split("-"))
assert hh == ha
assert base["ft"] == forced["ft"] # FT untouched by HT anchoring
if __name__ == "__main__":
fns = [v for k, v in sorted(globals().items()) if k.startswith("test_")]
for fn in fns:
fn()
print(f"PASS {fn.__name__}")
print(f"\nAll {len(fns)} tests passed.")