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Multi-Dimensional ELO Rating System (FEATURE-9).
Extends basic ELO to track different skill dimensions:
- Qualifying ELO (single-lap pace)
- Race ELO (long-run consistency)
- Wet Weather ELO (rain performance)
- Overtaking ELO (wheel-to-wheel skill)
- Defense ELO (ability to hold position)
Uses Glicko-2 system for uncertainty tracking (Rating Deviation).
"""
import math
from typing import Dict, List, Optional, Tuple
import logging
logger = logging.getLogger(__name__)
class MultiDimensionalELO:
"""
Tracks multiple ELO ratings per driver across different skill dimensions.
Each dimension has:
- Rating (1500 base)
- Rating Deviation (RD): Uncertainty measure (lower = more certain)
- Volatility: How much rating changes race-to-race
"""
# Glicko-2 constants
SCALE_FACTOR = 173.7178 # Converts from Glicko-2 scale to traditional ELO
TAU = 0.5 # System constant limiting volatility changes
def __init__(self):
# Initialize drivers with base ratings
self.drivers = {}
def initialize_driver(self, driver_id: str, base_rating: float = 1500.0):
"""Initialize a driver with multi-dimensional ELO ratings."""
self.drivers[driver_id] = {
"qualifying": {
"rating": base_rating,
"rd": 350.0, # High initial uncertainty
"volatility": 0.06,
},
"race": {
"rating": base_rating,
"rd": 350.0,
"volatility": 0.06,
},
"wet_weather": {
"rating": base_rating,
"rd": 400.0, # Even higher uncertainty (fewer wet races)
"volatility": 0.08,
},
"overtaking": {
"rating": base_rating,
"rd": 350.0,
"volatility": 0.06,
},
"defense": {
"rating": base_rating,
"rd": 350.0,
"volatility": 0.06,
},
}
def get_elo_score(self, driver_id: str, dimension: str = "race") -> float:
"""
Get normalized ELO score for a driver in a specific dimension.
Returns value between 0 and 1 for use in composite score calculation.
"""
if driver_id not in self.drivers:
return 0.5
rating = self.drivers[driver_id][dimension]["rating"]
# Normalize to 0-1 range (assuming typical range 1200-1800)
normalized = (rating - 1200) / 600
return max(0.0, min(1.0, normalized))
def update_ratings_after_race(self, race_results: List[Dict],
weather_conditions: str = "dry"):
"""
Update all ELO dimensions based on race results.
Args:
race_results: List of dicts with driver_id, grid_pos, finish_pos, etc.
weather_conditions: "dry", "wet", or "mixed"
"""
# Update race ELO for all drivers
self._update_dimension(race_results, "race")
# Update qualifying ELO if qualifying data available
if all("quali_pos" in r for r in race_results):
quali_results = [{"driver_id": r["driver_id"],
"grid_pos": r.get("quali_pos", r["grid_pos"]),
"finish_pos": r["finish_pos"]}
for r in race_results]
self._update_dimension(quali_results, "qualifying")
# Update wet weather ELO if race was wet
if weather_conditions in ["wet", "mixed"]:
self._update_dimension(race_results, "wet_weather")
# Update overtaking/defense ELO based on position changes
self._update_overtaking_defense(race_results)
def _update_dimension(self, results: List[Dict], dimension: str):
"""Update a specific ELO dimension using Glicko-2 algorithm."""
n_drivers = len(results)
if n_drivers < 2:
return
for i, driver_result in enumerate(results):
driver_id = driver_result["driver_id"]
if driver_id not in self.drivers:
self.initialize_driver(driver_id)
player = self.drivers[driver_id][dimension]
# Calculate expected scores against all other drivers
total_score = 0.0
variance = 0.0
for j, opponent_result in enumerate(results):
if i == j:
continue
opp_id = opponent_result["driver_id"]
if opp_id not in self.drivers:
continue
opponent = self.drivers[opp_id][dimension]
# Calculate expected outcome using Glicko-2 formula
expected = self._glicko2_expected(player, opponent)
# Actual outcome: 1 = beat opponent, 0 = lost to opponent
actual = 1.0 if driver_result["finish_pos"] < opponent_result["finish_pos"] else 0.0
# Weight by finishing position difference (bigger gap = stronger signal)
pos_diff = abs(driver_result["finish_pos"] - opponent_result["finish_pos"])
weight = min(1.0, pos_diff / 10.0) # Cap at 10 positions
total_score += weight * (actual - expected)
variance += weight ** 2 * expected * (1 - expected)
# Update rating
if variance > 0:
new_rating = player["rating"] + (player["volatility"] ** 2 / variance) * total_score
# Update RD (Rating Deviation)
new_rd = math.sqrt(1 / (1 / player["rd"]**2 + variance / player["volatility"]**2))
# Clamp values
player["rating"] = max(1000, min(2000, new_rating))
player["rd"] = max(50, min(350, new_rd))
def _update_overtaking_defense(self, results: List[Dict]):
"""Update overtaking and defense ELO based on position changes."""
for result in results:
driver_id = result["driver_id"]
if driver_id not in self.drivers:
continue
grid_pos = result.get("grid_pos", result.get("finish_pos"))
finish_pos = result["finish_pos"]
position_change = grid_pos - finish_pos # Positive = gained positions
# Update overtaking ELO
if position_change > 0:
# Gained positions = good overtaking
self._incremental_update(driver_id, "overtaking", position_change * 2)
# Update defense ELO
if position_change >= 0:
# Maintained or improved position = good defense
self._incremental_update(driver_id, "defense", 1)
else:
# Lost positions = poor defense
self._incremental_update(driver_id, "defense", position_change)
def _incremental_update(self, driver_id: str, dimension: str, performance_delta: float):
"""Simple incremental ELO update."""
player = self.drivers[driver_id][dimension]
# Learning rate decreases with certainty (lower RD)
learning_rate = 0.01 * (player["rd"] / 350.0)
# Update rating
player["rating"] += learning_rate * performance_delta
player["rating"] = max(1200, min(1800, player["rating"]))
# Decrease RD slightly (more data = more certainty)
player["rd"] = max(50, player["rd"] * 0.995)
def _glicko2_expected(self, player: Dict, opponent: Dict) -> float:
"""Calculate expected score using Glicko-2 formula."""
# Convert to Glicko-2 scale
r1 = (player["rating"] - 1500) / self.SCALE_FACTOR
r2 = (opponent["rating"] - 1500) / self.SCALE_FACTOR
rd1 = player["rd"] / self.SCALE_FACTOR
rd2 = opponent["rd"] / self.SCALE_FACTOR
# Expected score
denominator = math.sqrt(1 + 3 * (rd1**2 + rd2**2) / (math.pi**2))
expected = 1 / (1 + math.exp(-(r1 - r2) / denominator))
return expected
def get_driver_profile(self, driver_id: str) -> Dict:
"""Get complete ELO profile for a driver."""
if driver_id not in self.drivers:
return {}
profile = {}
for dimension, data in self.drivers[driver_id].items():
profile[dimension] = {
"rating": round(data["rating"], 1),
"rd": round(data["rd"], 1),
"normalized": round(self.get_elo_score(driver_id, dimension), 3),
"certainty_pct": round((1 - data["rd"] / 350) * 100, 1),
}
return profile
def compare_drivers(self, driver1_id: str, driver2_id: str,
dimension: str = "race") -> Dict:
"""Compare two drivers in a specific dimension."""
if driver1_id not in self.drivers or driver2_id not in self.drivers:
return {}
d1 = self.drivers[driver1_id][dimension]
d2 = self.drivers[driver2_id][dimension]
# Calculate win probability using logistic function
rating_diff = d1["rating"] - d2["rating"]
combined_rd = math.sqrt(d1["rd"]**2 + d2["rd"]**2)
# Probability driver1 beats driver2
win_prob = 1 / (1 + math.exp(-rating_diff / (combined_rd + 100)))
return {
"driver1": {
"id": driver1_id,
"rating": d1["rating"],
"rd": d1["rd"],
},
"driver2": {
"id": driver2_id,
"rating": d2["rating"],
"rd": d2["rd"],
},
"dimension": dimension,
"win_probability": round(win_prob, 3),
"rating_difference": round(rating_diff, 1),
}
# Global instance for easy access
_elo_system = None
def get_elo_system() -> MultiDimensionalELO:
"""Get or create the multi-dimensional ELO system singleton."""
global _elo_system
if _elo_system is None:
_elo_system = MultiDimensionalELO()
# Initialize with current drivers
from src.data.driver_data import get_all_drivers
for driver in get_all_drivers():
_elo_system.initialize_driver(driver["id"], base_rating=driver.get("elo", 1500))
return _elo_system
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# PHASE 8: FASTF1 ELO INTEGRATION
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def ingest_fastf1_results(season: int, race_name: str) -> int:
"""
Pull actual race results from FastF1 and update ELO ratings.
This replaces simulated results with real finishing orders,
enabling accurate mid-season ELO drift tracking.
Args:
season: Year (e.g., 2025)
race_name: Race name or round number
Returns:
Number of drivers whose ELO was updated
Safe to call even if FastF1 is unavailable β returns 0 on failure.
"""
elo = get_elo_system()
try:
from src.data.fastf1_integration import FASTF1_AVAILABLE, get_session
if not FASTF1_AVAILABLE:
logger.warning("FastF1 not available β ELO unchanged")
return 0
session = get_session(season, race_name, 'R')
results = session.results
# Build abbreviation β driver_id mapping
from src.data.driver_data import DRIVERS
abbr_to_id = {d["short"].upper(): d["id"] for d in DRIVERS.values()}
race_results = []
for _, row in results.iterrows():
abbr = row['Abbreviation']
driver_id = abbr_to_id.get(abbr)
if driver_id is None:
continue
pos = row.get('Position', None)
if not isinstance(pos, (int, float)) or pos <= 0:
continue
# Determine grid position from qualifying
grid_pos = int(pos) # Fallback: use finish pos as grid pos
try:
q_session = get_session(season, race_name, 'Q')
q_results = q_session.results
q_row = q_results[q_results['Abbreviation'] == abbr]
if len(q_row) > 0:
q_pos = q_row.iloc[0].get('Position', None)
if isinstance(q_pos, (int, float)) and q_pos > 0:
grid_pos = int(q_pos)
except Exception:
pass
race_results.append({
"driver_id": driver_id,
"grid_pos": grid_pos,
"finish_pos": int(pos),
"quali_pos": grid_pos,
})
if not race_results:
logger.warning(f"No valid results found for {season} {race_name}")
return 0
# Determine weather conditions
weather_conditions = "dry"
try:
weather = session.weather_data
if 'Rainfall' in weather.columns and weather['Rainfall'].any():
weather_conditions = "wet"
except Exception:
pass
# Update ELO ratings
elo.update_ratings_after_race(race_results, weather_conditions=weather_conditions)
logger.info(
f"ELO updated from FastF1: {len(race_results)} drivers, "
f"weather={weather_conditions}"
)
return len(race_results)
except ImportError:
logger.warning("FastF1 module not found β ELO unchanged")
return 0
except Exception as e:
logger.error(f"FastF1 ELO ingestion failed: {e}")
return 0
def ingest_season_elo(season: int, max_round: Optional[int] = None) -> int:
"""
Ingest all race results for a season and update ELO ratings sequentially.
Args:
season: Year (e.g., 2025)
max_round: Only process races up to this round number
Returns:
Total number of driver-race ELO updates
"""
try:
from src.data.fastf1_integration import FASTF1_AVAILABLE
if not FASTF1_AVAILABLE:
return 0
import fastf1
schedule = fastf1.get_event_schedule(season)
if max_round is not None:
schedule = schedule[schedule['RoundNumber'] <= max_round]
total_updates = 0
for _, event in schedule.iterrows():
if event['EventName'] == 'Pre-Season Test':
continue
try:
updates = ingest_fastf1_results(season, event['EventName'])
total_updates += updates
except Exception as e:
logger.warning(f"Skipping {event['EventName']}: {e}")
continue
logger.info(f"Season ELO ingestion complete: {total_updates} total updates")
return total_updates
except Exception as e:
logger.error(f"Season ELO ingestion failed: {e}")
return 0
if __name__ == "__main__":
# Test the multi-dimensional ELO system
print("Testing Multi-Dimensional ELO System...")
elo = get_elo_system()
# Simulate a race result
test_results = [
{"driver_id": "antonelli", "grid_pos": 1, "finish_pos": 1},
{"driver_id": "verstappen", "grid_pos": 3, "finish_pos": 2},
{"driver_id": "norris", "grid_pos": 2, "finish_pos": 3},
{"driver_id": "hamilton", "grid_pos": 5, "finish_pos": 4},
{"driver_id": "leclerc", "grid_pos": 4, "finish_pos": 5},
]
# Update ratings
elo.update_ratings_after_race(test_results, weather_conditions="dry")
# Get profiles
print("\nDriver Profiles:")
for driver_id in ["antonelli", "verstappen", "norris"]:
profile = elo.get_driver_profile(driver_id)
print(f"\n{driver_id.upper()}:")
for dim, data in profile.items():
print(f" {dim:15s}: {data['rating']:6.1f} (RD: {data['rd']:5.1f}, "
f"Certainty: {data['certainty_pct']:.1f}%)")
# Compare drivers
print("\n\nHead-to-Head Comparison:")
comparison = elo.compare_drivers("antonelli", "verstappen", "race")
print(f"Antonelli vs Verstappen (Race):")
print(f" Win Probability: {comparison['win_probability']*100:.1f}%")
print(f" Rating Difference: {comparison['rating_difference']}")
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