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OBSO Trained Grids — Reachability, EPV, and Completion Matrices

Pre-trained grid artifacts for Off-Ball Scoring Opportunity (OBSO) computation: ball reachability surfaces, expected possession value (EPV) grids, and pass completion probability matrices. These are the static lookup tables that power real-time OBSO evaluation — derived from observed passing, shooting, and transition patterns across ~4,900 open-data matches.

Part of the (Right! Luxury!) Lakehouse soccer analytics platform.

Quick Start

from huggingface_hub import hf_hub_download
import pandas as pd

repo = "luxury-lakehouse/obso-trained-grids"

# Load the global reachability grid (100x64)
reach_path = hf_hub_download(repo, "data/reachability_grid_global.parquet", repo_type="dataset")
reach_df = pd.read_parquet(reach_path)
reach_matrix = reach_df.pivot(index="zone_y", columns="zone_x", values="reachability")
print(f"Reachability grid shape: {reach_matrix.shape}")  # (100, 64)

# Load the global EPV grid (50x32)
epv_path = hf_hub_download(repo, "data/epv_grid_global.parquet", repo_type="dataset")
epv_df = pd.read_parquet(epv_path)
epv_matrix = epv_df.pivot(index="zone_y", columns="zone_x", values="epv_value")
print(f"EPV grid shape: {epv_matrix.shape}")  # (50, 32)

Explore interactively: HF Space demo

What Is This Dataset?

The OBSO model evaluates off-ball scoring opportunities by combining three components:

  1. Reachability — the probability that a ball played to a given zone can be controlled by the receiving team, based on observed reception patterns.
  2. Expected Possession Value (EPV) — the probability that a possession in a given zone will result in a goal, estimated via value iteration over transition and shot frequencies.
  3. Pass Completion Probability — the likelihood that a pass from one zone to another is completed, estimated from observed pass outcomes.

These grids are pre-computed from event data and serve as static inputs to the real-time OBSO pipeline, which combines them with dynamic pitch control surfaces.

Data Fields

The dataset contains three types of grid artifacts at different resolutions, plus per-competition variants.

Reachability Grid (reachability_grid_global.parquet)

Column Type Description
zone_y int Grid row index (0–99)
zone_x int Grid column index (0–63)
reachability float Ball reachability probability (0–1)

Grid resolution: 100×64 (105m ÷ 100 = 1.05m per row, 68m ÷ 64 = 1.0625m per column).

EPV Grid (epv_grid_global.parquet)

Column Type Description
zone_y int Grid row index (0–49)
zone_x int Grid column index (0–31)
epv_value float Expected possession value (0–1, higher = closer to goal)

Grid resolution: 50×32 (105m ÷ 50 = 2.1m per row, 68m ÷ 32 = 2.125m per column).

Completion Matrix (completion_matrix_global.parquet)

Column Type Description
origin_zone int Flat index of the origin zone (0–399)
target_zone int Flat index of the target zone (0–399)
probability float Pass completion probability (row-normalized, 0–1)

Zone grid: 25×16 = 400 zones (105m ÷ 25 = 4.2m per row, 68m ÷ 16 = 4.25m per column).

Per-Competition Variants

Per-competition files (*_all.parquet) include an additional competition_id column. These allow competition-specific OBSO computation where sufficient data exists.

Coordinate System

All grids map to the SPADL 105×68 meters pitch coordinate space. Grid resolution varies by artifact type (see tables above). The origin (0, 0) is at the bottom-left corner of the attacking team's half.

Data Sources

Source Matches License
StatsBomb Open Data ~3,000 CC-BY 4.0
Wyscout Public Dataset ~1,900 CC-BY-NC 4.0

All event data is converted to SPADL format before grid estimation.

Companion Resources

Resource Description
OBSO/PAUSA Values Per-pass OBSO and PAUSA scores computed using these grids
Expected Threat (xT) Grids Markov chain xT grids from the same source data
SPADL/VAEP Action Values Per-action VAEP scores from the same source events

Limitations

  • Open data only: Grids are trained on publicly available StatsBomb and Wyscout data. Commercial datasets with denser event coverage may yield different surfaces.
  • Competition-agnostic global grids: The global variants pool all competitions. League-specific tactical patterns (e.g., high-press vs. low-block) are averaged away.
  • Static estimates: Grids are computed from full-season aggregates. They do not adapt to in-game state (score, time, fatigue, personnel).
  • Resolution trade-offs: Each grid uses a different resolution optimized for its purpose. Interpolation is required when combining grids of different resolutions.
  • No goalkeeper modeling: Reachability and EPV grids do not distinguish goalkeeper positioning from outfield player patterns.

Citation

If you use this dataset, please cite the underlying models:

@misc{singh2018expected,
  title={Introducing Expected Threat (xT)},
  author={Singh, Karun},
  year={2018},
  url={https://karun.in/blog/expected-threat.html}
}
@inproceedings{spearman2018beyond,
  title={Beyond Expected Goals},
  author={Spearman, William},
  booktitle={MIT Sloan Sports Analytics Conference},
  year={2018}
}
@inproceedings{fernandez2018wide,
  title={Wide Open Spaces: A statistical technique for measuring space creation in professional soccer},
  author={Fernandez, Javier and Bornn, Luke},
  booktitle={MIT Sloan Sports Analytics Conference},
  year={2018}
}
@inproceedings{lee2026pausa,
  title={Valuing La Pausa: Quantifying the Timing and Quality of Soccer Passes Using Off-Ball Scoring Opportunities},
  author={Lee, Minho and Jo, Hyunsung and Hong, Seungwon and Bauer, Pascal and Ko, Sangkuk},
  booktitle={MIT Sloan Sports Analytics Conference},
  year={2026}
}

More Information

Explore interactively: HF Space demo

  • License: MIT
  • Publish script: scripts/compute_epv_transition_hf.py
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