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On the Football AI prediction dashboard and betting advice, each match usually shows both the regular Score / Goals prediction and the green-highlighted ๐ฏ Independent Score / โฝ Independent Goals. New users often ask: why can the regular score and the independent score differ for the same match? What is the algorithmic logic behind them? How should they be used in practice?
| Dimension | Companion System Regular Score / Goals (predictedScore / predictedGoals) | ๐ฏ Independent System Optimal Score / Goals (optimalScore / optimalGoals) |
|---|---|---|
| Core Positioning | Direction Closed-Loop A companion sub-metric strictly self-consistent with the recommended H/D/A outcome. | Fully Decoupled Completely decoupled from the H/D/A recommendation, purely searching the full space for the mathematical probability extreme or high-odds positive-EV pick. |
| Mathematical Logic | Conditional probability extreme: after the model determines the main H/D/A direction, it constrains the search space to that outcome direction (e.g., if Away Win A is recommended, it only searches within the away-win set such as 0:1, 0:2, 1:2 for the highest Poisson probability). The companion goals count is then strictly equal to the sum of both teams' goals in that score. | Unconstrained global optimum: no prior direction restriction; it traverses the full 0:0 to 7:7 matrix and the 0~7 goals Poisson distribution, directly capturing the global physical probability peak, or combining bookmaker odds to mine the single point with the largest expected return (EV). |
| Why This Design? | Prevents logic conflicts in parlays. If the H/D/A recommendation is Home Win but the score recommends 0:1, users would face a self-contradictory "left vs right" conflict when packaging bets or parlays. The companion system completely eliminates directional conflicts. | Uncovers hidden single-point maximum probability and cold high-odds premiums. A match may recommend a Draw due to odds and EV considerations, yet the absolute highest single-point probability in the full space may still be 1:0, or a cold score offers a very high odds compensation. The independent system provides a pure single-bet perspective for such cases. |
| Typical Use Cases |
Conservative 2-leg parlay / companion tolerance bet: For example, when you bet a "HAD Home Win + companion score 2:1", both directions are fully consistent, ideal for logically smooth, risk-controlled parlays. |
Single-bet speculation / high-odds score pick: Suitable for those pursuing high-odds returns (e.g., odds 6.0~12.0+), as a small-stake bet on cold results or to hedge against low-scoring upsets. |
| Dashboard Display |
Shown in regular blue text:๐ฏ Score: 2:1 @ 7.50 (EV: +12.5% | Stake: 2.1%)โฝ Goals: 3 Goals @ 3.80 (EV: +8.3% | Stake: 1.5%)
|
When inconsistent with the regular metric, a prominent badge is automatically shown: ๐ฏ Independent Score 1:1 @ 6.50 (EV: +15.3%) โฝ Independent Goals 2 Goals @ 3.40 (EV: +6.2%) |
In a La Liga match, the home team faces a weaker opponent. The model estimates the home win physical probability at 58.5% and recommends Home Win (H).
Within the home-win direction, the model computes 2:0 and 2:1 as the highest-frequency scores, finally locking the companion score at 2:1 and the companion total goals at 3 Goals.
Key point: the main direction, score, and goals are fully integrated, suitable for a conservative 2-1 parlay.
In a Premier League blockbuster, the away team is receiving a handicap and the bookmaker's away-win odds are as high as 4.50. The model estimates a +14.2% EV for the away win, so it recommends "Away Win (A)".
However, the unconstrained full-space Poisson traversal shows the single score with the highest overall probability (17.1%) is actually 1:1.
The system then provides the regular companion score 0:1 (aligned with the away win) while flagging ๐ฏ Independent Score 1:1, reminding users that a draw is also a highly probable landing point.
Shown as Prob H / Prob D / Prob A. Based on a 220,000+ historical match training set, combining both teams' historical attacking pressure, defensive expected goals, and home/away momentum to compute the physical probability (bookmaker margin removed).
Formula: EV = (Probability ร Odds) - 1.0. When EV โฅ +5.0%, the option has a statistically positive expected return relative to the bookmaker's pricing, and the system flags it as a Value Bet.
Based on the fractional Kelly formula, it scientifically computes the recommended stake for a single match from the positive-EV margin and odds leverage, preventing over-betting on any single game.
Before each daily prediction, the system runs a time-series blind test on the past 90-day holdout set, strictly evaluating Brier Score calibration and simulated ROI. If metrics are critical or abnormal, it automatically triggers risk-control interception and tightens the recommendation threshold.