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Forward RAPM Memory Baselines

These are the rigorous RAPM-only controls for the frozen evaluation contract. They are rolling, player-prior-centered RAPM models rather than pooled zero-centered windows. No age, draft, physical, box-score, exposure-gate, or lineup-context input is included.

For a completed season \(t\), let \(r_{i,t}\) be player \(i\)'s annual RAPM estimate and \(n_{i,t}\) their on-court possessions. Before season \(t+1\):

\[ \mu^{(1)}_{i,t+1} = r_{i,t} \]

for the one-season model, while the three-season model uses the player-specific possession-weighted memory

\[ \mu^{(3)}_{i,t+1} = \frac{\sum_{k=0}^{2} n_{i,t-k}r_{i,t-k}} {\sum_{k=0}^{2} n_{i,t-k}}. \]

The sums include only seasons in which the player appeared. A player absent from the remembered state is scored with a cold-start prior of zero. Each completed season selects its own ridge penalty with chronological folds, fits on all of that season's regular-season stints, and becomes input only to later seasons.

Evaluation Contract

The initial rigorous pool freezes three target seasons: 2023-24, 2024-25, and 2025-26. For each target, all player priors, source home-court effect, and source scoring mean are fixed before opening night. Target-season realized lineup allocation is used as an oracle solely to make the lineup forecast comparable across models. Target outcomes are not used until after that frozen forecast is written, when they may update the next season's prior.

All three regular seasons and their matching postseason possession partitions are available. Playoff results are scored from the frozen regular-season boundary and never enter training.

Results

Artifact: artifacts/models/forward_rapm_memory_prior_baselines/2023-24_to_2025-26/forward-rapm-memory-baselines-2023-24-to-2025-26-20260813T210525Z-190bfd3b.

The regular-season pool combines 2023-24, 2024-25, and 2025-26. Lower is better except winner accuracy.

Model Possession RMSE Eligible game RMSE Full-game RMSE Winner accuracy Team NetRtg RMSE Pythagorean-win RMSE
Forward 1-year RAPM-prior baseline 1.198196 14.5265 14.8154 65.39% 4.2374 9.1066
Forward 3-year RAPM-prior baseline 1.198246 14.6559 14.9714 64.68% 4.5326 9.7789

Per-Season Regular Results

Season Model Possession RMSE Eligible game RMSE
2023-24 Forward 1-year RAPM-prior baseline 1.193190 14.0586
2023-24 Forward 3-year RAPM-prior baseline 1.193288 14.3123
2024-25 Forward 1-year RAPM-prior baseline 1.202214 14.5310
2024-25 Forward 3-year RAPM-prior baseline 1.202242 14.6348
2025-26 Forward 1-year RAPM-prior baseline 1.198994 14.9019
2025-26 Forward 3-year RAPM-prior baseline 1.199021 14.9537

Frozen Playoff Check

Each playoff cohort is scored from the matching frozen pre-season state; playoff outcomes never enter the fit.

Season Model Possession RMSE Eligible game RMSE
2023-24 Forward 1-year RAPM-prior baseline 1.191977 17.5914
2023-24 Forward 3-year RAPM-prior baseline 1.192143 17.7534
2024-25 Forward 1-year RAPM-prior baseline 1.194540 16.8274
2024-25 Forward 3-year RAPM-prior baseline 1.194630 17.1473
2025-26 Forward 1-year RAPM-prior baseline 1.192825 17.4317
2025-26 Forward 3-year RAPM-prior baseline 1.192365 16.6833