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ECHO ULTIMATE β 5 calibration metrics implemented from scratch.
ECE, MCE, Brier Score, Sharpness, Resolution β all with mathematical comments.
"""
import logging
from dataclasses import dataclass, field
from typing import Optional
import numpy as np
from config import cfg
logger = logging.getLogger(__name__)
# ββ CalibrationReport βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass
class CalibrationReport:
"""Complete calibration profile for an agent over N episodes."""
ece: float = 0.0
mce: float = 0.0
brier_score: float = 0.25
sharpness: float = 0.0
resolution: float = 0.0
accuracy: float = 0.0
mean_confidence: float = 50.0
overconfidence_rate: float = 0.0
underconfidence_rate: float = 0.0
abstention_rate: float = 0.0
bin_data: dict = field(default_factory=dict)
n_samples: int = 0
domain: Optional[str] = None
def to_dict(self) -> dict:
return {
"ece": round(self.ece, 4),
"mce": round(self.mce, 4),
"brier_score": round(self.brier_score, 4),
"sharpness": round(self.sharpness, 4),
"resolution": round(self.resolution, 4),
"accuracy": round(self.accuracy, 4),
"mean_confidence": round(self.mean_confidence, 2),
"overconfidence_rate": round(self.overconfidence_rate, 4),
"underconfidence_rate": round(self.underconfidence_rate, 4),
"abstention_rate": round(self.abstention_rate, 4),
"n_samples": self.n_samples,
"domain": self.domain,
}
def summary_str(self) -> str:
return (
f"ECE={self.ece:.3f} | MCE={self.mce:.3f} | Brier={self.brier_score:.3f} | "
f"Acc={self.accuracy:.1%} | MeanConf={self.mean_confidence:.0f}% | "
f"OverconfRate={self.overconfidence_rate:.1%} | n={self.n_samples}"
)
# ββ Bin builder βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _build_bins(
confidences: list[int],
correctness: list[bool],
n_bins: int,
) -> dict[int, dict]:
"""
Partition (confidence, outcome) pairs into equal-width bins [0,10), [10,20), β¦
Returns dict keyed by bin center with accuracy, mean_conf, and count.
"""
bins: dict[int, dict] = {}
step = 100 // n_bins # e.g. 10 for n_bins=10
for bin_lower in range(0, 100, step):
bin_upper = bin_lower + step
center = bin_lower + step // 2
indices = [
i for i, c in enumerate(confidences)
if bin_lower <= c < bin_upper
]
if not indices:
bins[center] = {"accuracy": 0.0, "mean_conf": center / 100.0, "count": 0}
continue
acc = float(np.mean([correctness[i] for i in indices]))
mc = float(np.mean([confidences[i] for i in indices])) / 100.0
bins[center] = {"accuracy": acc, "mean_conf": mc, "count": len(indices)}
return bins
# ββ Metric functions ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def ece(
confidences: list[int],
correctness: list[bool],
n_bins: int = cfg.N_CALIBRATION_BINS,
) -> float:
"""
Expected Calibration Error.
ECE = Ξ£_{m=1}^{M} (|B_m| / n) * |acc(B_m) - conf(B_m)|
where B_m = samples in bin m, acc = fraction correct, conf = mean confidence.
Lower is better. Perfect calibration = 0.0.
"""
if not confidences:
return 0.0
n = len(confidences)
bins = _build_bins(confidences, correctness, n_bins)
ece_val = 0.0
for b in bins.values():
if b["count"] == 0:
continue
ece_val += (b["count"] / n) * abs(b["accuracy"] - b["mean_conf"])
return float(ece_val)
def mce(
confidences: list[int],
correctness: list[bool],
n_bins: int = cfg.N_CALIBRATION_BINS,
) -> float:
"""
Maximum Calibration Error.
MCE = max_m |acc(B_m) - conf(B_m)|
Worst-case calibration error across all non-empty bins.
"""
if not confidences:
return 0.0
bins = _build_bins(confidences, correctness, n_bins)
gaps = [
abs(b["accuracy"] - b["mean_conf"])
for b in bins.values() if b["count"] > 0
]
return float(max(gaps)) if gaps else 0.0
def brier_score(
confidences: list[int],
correctness: list[bool],
) -> float:
"""
Brier Score.
BS = (1/n) Ξ£ (p_i - o_i)^2
p_i = confidence_i / 100 (forecast probability)
o_i = 1 if correct, 0 if wrong (outcome)
Range [0, 1]. Lower = better.
Perfect model = 0. Random (50%) = 0.25.
Always guessing 1.0 on wrong answers = 1.0.
"""
if not confidences:
return 0.25
scores = [
(c / 100.0 - float(o)) ** 2
for c, o in zip(confidences, correctness)
]
return float(np.mean(scores))
def sharpness(confidences: list[int]) -> float:
"""
Sharpness.
Sharpness = (1/n) Ξ£ (p_i - mean(p))^2
Variance of predicted probabilities.
Higher sharpness = more decisive predictions.
Can be good (confident correct) or bad (confident wrong).
"""
if not confidences:
return 0.0
probs = [c / 100.0 for c in confidences]
return float(np.var(probs))
def resolution(
confidences: list[int],
correctness: list[bool],
n_bins: int = cfg.N_CALIBRATION_BINS,
) -> float:
"""
Resolution.
Resolution = (1/n) Ξ£_m |B_m| * (acc(B_m) - overall_acc)^2
Measures how much the binned confidence predictions differ from overall accuracy.
Higher resolution = predictions contain more information beyond the base rate.
"""
if not correctness:
return 0.0
n = len(correctness)
overall_acc = float(np.mean(correctness))
bins = _build_bins(confidences, correctness, n_bins)
res = 0.0
for b in bins.values():
if b["count"] == 0:
continue
res += (b["count"] / n) * (b["accuracy"] - overall_acc) ** 2
return float(res)
# ββ Combined report βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def compute_report(
confidences: list[int],
correctness: list[bool],
abstentions: Optional[list[bool]] = None,
domain: Optional[str] = None,
n_bins: int = cfg.N_CALIBRATION_BINS,
) -> CalibrationReport:
"""
Compute all 5 calibration metrics plus operational rates in one call.
Args:
confidences: list of int [0, 100]
correctness: list of bool
abstentions: list of bool (True = agent said "I don't know")
domain: optional domain label for reporting
"""
if not confidences:
return CalibrationReport(n_samples=0, domain=domain)
n = len(confidences)
overall_acc = float(np.mean(correctness))
# Overconfidence rate: fraction of WRONG answers with conf >= threshold
wrong_mask = [not c for c in correctness]
wrong_high = sum(
1 for c, w in zip(confidences, wrong_mask)
if w and c >= cfg.OVERCONFIDENCE_THRESHOLD
)
n_wrong = sum(wrong_mask)
overconf_rate = wrong_high / max(n_wrong, 1)
# Underconfidence rate: fraction of CORRECT answers with conf <= threshold
correct_low = sum(
1 for c, ok in zip(confidences, correctness)
if ok and c <= cfg.UNDERCONFIDENCE_THRESHOLD
)
n_correct = sum(correctness)
underconf_rate = correct_low / max(n_correct, 1)
abst_rate = 0.0
if abstentions:
abst_rate = sum(abstentions) / n
bins = _build_bins(confidences, correctness, n_bins)
return CalibrationReport(
ece=ece(confidences, correctness, n_bins),
mce=mce(confidences, correctness, n_bins),
brier_score=brier_score(confidences, correctness),
sharpness=sharpness(confidences),
resolution=resolution(confidences, correctness, n_bins),
accuracy=overall_acc,
mean_confidence=float(np.mean(confidences)),
overconfidence_rate=overconf_rate,
underconfidence_rate=underconf_rate,
abstention_rate=abst_rate,
bin_data=bins,
n_samples=n,
domain=domain,
)
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