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Create calibration_utils.py
Browse files- src/calibration_utils.py +316 -0
src/calibration_utils.py
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| 1 |
+
# src/calibration_utils.py
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| 2 |
+
"""
|
| 3 |
+
Calibration assessment + bootstrap confidence intervals for binary
|
| 4 |
+
classifiers and Cox survival models.
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| 5 |
+
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| 6 |
+
Designed to slot into the existing manuscript pipeline:
|
| 7 |
+
- call signatures mirror inference_utils.compute_metrics()
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| 8 |
+
- returns dicts that downstream code can merge into existing metric dicts
|
| 9 |
+
- matplotlib figures use the same style as the existing ROC/PR plots
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| 10 |
+
"""
|
| 11 |
+
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| 12 |
+
from __future__ import annotations
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| 13 |
+
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| 14 |
+
import numpy as np
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| 15 |
+
import pandas as pd
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| 16 |
+
import matplotlib.pyplot as plt
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| 17 |
+
from sklearn.metrics import roc_auc_score, brier_score_loss
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| 18 |
+
from sklearn.calibration import calibration_curve
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| 19 |
+
from scipy.special import logit
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| 20 |
+
import statsmodels.api as sm
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| 21 |
+
from lifelines.utils import concordance_index
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| 22 |
+
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| 23 |
+
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| 24 |
+
# ----------------------------------------------------------------------
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| 25 |
+
# Helpers
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| 26 |
+
# ----------------------------------------------------------------------
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| 27 |
+
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| 28 |
+
def _clean_binary_inputs(y_true, y_prob):
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| 29 |
+
"""Mirror the NaN-handling pattern used in inference_utils.compute_metrics()."""
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| 30 |
+
y_true = pd.to_numeric(pd.Series(y_true).astype(str).str.strip(), errors="coerce")
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| 31 |
+
y_prob = pd.to_numeric(pd.Series(y_prob), errors="coerce")
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| 32 |
+
valid = y_true.notna() & y_prob.notna()
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| 33 |
+
y_true = y_true.loc[valid].astype(int).to_numpy()
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| 34 |
+
y_prob = y_prob.loc[valid].astype(float).to_numpy()
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| 35 |
+
return y_true, y_prob
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| 36 |
+
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| 37 |
+
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| 38 |
+
def _safe_logit(p, eps=1e-6):
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| 39 |
+
return logit(np.clip(p, eps, 1.0 - eps))
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| 40 |
+
|
| 41 |
+
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| 42 |
+
# ----------------------------------------------------------------------
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| 43 |
+
# Bootstrap CI helpers
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| 44 |
+
# ----------------------------------------------------------------------
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| 45 |
+
|
| 46 |
+
def bootstrap_auroc_ci(y_true, y_prob, n_bootstraps=1000, seed=42):
|
| 47 |
+
"""
|
| 48 |
+
Returns (auroc_point, ci_low, ci_high).
|
| 49 |
+
Stratified bootstrap (preserves event prevalence).
|
| 50 |
+
"""
|
| 51 |
+
y_true, y_prob = _clean_binary_inputs(y_true, y_prob)
|
| 52 |
+
if len(y_true) == 0 or len(np.unique(y_true)) < 2:
|
| 53 |
+
return (np.nan, np.nan, np.nan)
|
| 54 |
+
|
| 55 |
+
point = float(roc_auc_score(y_true, y_prob))
|
| 56 |
+
pos_idx = np.where(y_true == 1)[0]
|
| 57 |
+
neg_idx = np.where(y_true == 0)[0]
|
| 58 |
+
rng = np.random.default_rng(seed)
|
| 59 |
+
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| 60 |
+
boot = []
|
| 61 |
+
for _ in range(n_bootstraps):
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| 62 |
+
pos_b = rng.choice(pos_idx, size=len(pos_idx), replace=True)
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| 63 |
+
neg_b = rng.choice(neg_idx, size=len(neg_idx), replace=True)
|
| 64 |
+
idx = np.concatenate([pos_b, neg_b])
|
| 65 |
+
try:
|
| 66 |
+
boot.append(roc_auc_score(y_true[idx], y_prob[idx]))
|
| 67 |
+
except ValueError:
|
| 68 |
+
continue
|
| 69 |
+
|
| 70 |
+
if len(boot) == 0:
|
| 71 |
+
return (point, np.nan, np.nan)
|
| 72 |
+
lo, hi = np.percentile(boot, [2.5, 97.5])
|
| 73 |
+
return (point, float(lo), float(hi))
|
| 74 |
+
|
| 75 |
+
|
| 76 |
+
def bootstrap_c_index_ci(durations, events, risk_scores, n_bootstraps=1000, seed=42):
|
| 77 |
+
"""
|
| 78 |
+
Bootstrap C-index for a Cox-style risk score (higher score = higher risk).
|
| 79 |
+
Returns (c_point, ci_low, ci_high).
|
| 80 |
+
"""
|
| 81 |
+
durations = np.asarray(durations, dtype=float).ravel()
|
| 82 |
+
events = np.asarray(events, dtype=int).ravel()
|
| 83 |
+
risk_scores = np.asarray(risk_scores, dtype=float).ravel()
|
| 84 |
+
|
| 85 |
+
valid = ~(np.isnan(durations) | np.isnan(risk_scores)) & (durations > 0)
|
| 86 |
+
durations = durations[valid]
|
| 87 |
+
events = events[valid]
|
| 88 |
+
risk_scores = risk_scores[valid]
|
| 89 |
+
|
| 90 |
+
if len(durations) < 10 or events.sum() < 5:
|
| 91 |
+
return (np.nan, np.nan, np.nan)
|
| 92 |
+
|
| 93 |
+
try:
|
| 94 |
+
point = float(concordance_index(durations, -risk_scores, events))
|
| 95 |
+
except Exception:
|
| 96 |
+
return (np.nan, np.nan, np.nan)
|
| 97 |
+
|
| 98 |
+
rng = np.random.default_rng(seed)
|
| 99 |
+
n = len(durations)
|
| 100 |
+
boot = []
|
| 101 |
+
for _ in range(n_bootstraps):
|
| 102 |
+
idx = rng.choice(n, size=n, replace=True)
|
| 103 |
+
if np.asarray(events)[idx].sum() < 2:
|
| 104 |
+
continue
|
| 105 |
+
try:
|
| 106 |
+
boot.append(concordance_index(durations[idx], -risk_scores[idx], events[idx]))
|
| 107 |
+
except Exception:
|
| 108 |
+
continue
|
| 109 |
+
|
| 110 |
+
if len(boot) == 0:
|
| 111 |
+
return (point, np.nan, np.nan)
|
| 112 |
+
lo, hi = np.percentile(boot, [2.5, 97.5])
|
| 113 |
+
return (point, float(lo), float(hi))
|
| 114 |
+
|
| 115 |
+
|
| 116 |
+
# ----------------------------------------------------------------------
|
| 117 |
+
# Core calibration stats
|
| 118 |
+
# ----------------------------------------------------------------------
|
| 119 |
+
|
| 120 |
+
def compute_calibration_stats(y_true, y_prob, n_bins=10):
|
| 121 |
+
"""
|
| 122 |
+
Compute calibration intercept, slope, decile-level points, and Brier score.
|
| 123 |
+
|
| 124 |
+
Returns a dict with the same flat-key style as compute_metrics():
|
| 125 |
+
{
|
| 126 |
+
'N': int, 'Events': int, 'Prevalence': float,
|
| 127 |
+
'Brier': float, 'CalibrationInTheLarge': float,
|
| 128 |
+
'CalibrationIntercept': float,
|
| 129 |
+
'CalibrationIntercept_CI_low': float,
|
| 130 |
+
'CalibrationIntercept_CI_high': float,
|
| 131 |
+
'CalibrationSlope': float,
|
| 132 |
+
'CalibrationSlope_CI_low': float,
|
| 133 |
+
'CalibrationSlope_CI_high': float,
|
| 134 |
+
'BinProbTrue': np.ndarray, # observed event rate per bin
|
| 135 |
+
'BinProbPred': np.ndarray, # mean predicted prob per bin
|
| 136 |
+
'BinCounts': np.ndarray, # N per bin
|
| 137 |
+
}
|
| 138 |
+
"""
|
| 139 |
+
y_true, y_prob = _clean_binary_inputs(y_true, y_prob)
|
| 140 |
+
|
| 141 |
+
out = {
|
| 142 |
+
"N": int(len(y_true)),
|
| 143 |
+
"Events": int(y_true.sum()) if len(y_true) else 0,
|
| 144 |
+
"Prevalence": float(y_true.mean()) if len(y_true) else np.nan,
|
| 145 |
+
"Brier": np.nan,
|
| 146 |
+
"CalibrationInTheLarge": np.nan,
|
| 147 |
+
"CalibrationIntercept": np.nan,
|
| 148 |
+
"CalibrationIntercept_CI_low": np.nan,
|
| 149 |
+
"CalibrationIntercept_CI_high": np.nan,
|
| 150 |
+
"CalibrationSlope": np.nan,
|
| 151 |
+
"CalibrationSlope_CI_low": np.nan,
|
| 152 |
+
"CalibrationSlope_CI_high": np.nan,
|
| 153 |
+
"BinProbTrue": np.array([]),
|
| 154 |
+
"BinProbPred": np.array([]),
|
| 155 |
+
"BinCounts": np.array([]),
|
| 156 |
+
}
|
| 157 |
+
|
| 158 |
+
if len(y_true) < 20 or len(np.unique(y_true)) < 2:
|
| 159 |
+
return out
|
| 160 |
+
|
| 161 |
+
# Brier
|
| 162 |
+
out["Brier"] = float(brier_score_loss(y_true, np.clip(y_prob, 1e-15, 1 - 1e-15)))
|
| 163 |
+
|
| 164 |
+
# Calibration-in-the-large
|
| 165 |
+
out["CalibrationInTheLarge"] = float(y_true.mean() - y_prob.mean())
|
| 166 |
+
|
| 167 |
+
# Decile points
|
| 168 |
+
try:
|
| 169 |
+
prob_true, prob_pred = calibration_curve(y_true, y_prob, n_bins=n_bins, strategy="quantile")
|
| 170 |
+
# Bin counts via quantile cut on predicted probabilities
|
| 171 |
+
bin_edges = np.quantile(y_prob, np.linspace(0, 1, n_bins + 1))
|
| 172 |
+
bin_edges[0] -= 1e-9
|
| 173 |
+
bin_edges[-1] += 1e-9
|
| 174 |
+
bin_idx = np.digitize(y_prob, bin_edges, right=True) - 1
|
| 175 |
+
bin_idx = np.clip(bin_idx, 0, n_bins - 1)
|
| 176 |
+
bin_counts = np.bincount(bin_idx, minlength=n_bins)[: len(prob_pred)]
|
| 177 |
+
|
| 178 |
+
out["BinProbTrue"] = prob_true
|
| 179 |
+
out["BinProbPred"] = prob_pred
|
| 180 |
+
out["BinCounts"] = bin_counts
|
| 181 |
+
except Exception:
|
| 182 |
+
pass
|
| 183 |
+
|
| 184 |
+
# Calibration intercept (offset) and slope via logistic recalibration:
|
| 185 |
+
# logit(p_obs) = intercept + slope * logit(p_pred)
|
| 186 |
+
try:
|
| 187 |
+
logits = _safe_logit(y_prob)
|
| 188 |
+
X = sm.add_constant(logits)
|
| 189 |
+
result = sm.Logit(y_true, X).fit(disp=0)
|
| 190 |
+
intercept = float(result.params[0])
|
| 191 |
+
slope = float(result.params[1])
|
| 192 |
+
ci = result.conf_int()
|
| 193 |
+
out["CalibrationIntercept"] = intercept
|
| 194 |
+
out["CalibrationIntercept_CI_low"] = float(ci.iloc[0, 0])
|
| 195 |
+
out["CalibrationIntercept_CI_high"] = float(ci.iloc[0, 1])
|
| 196 |
+
out["CalibrationSlope"] = slope
|
| 197 |
+
out["CalibrationSlope_CI_low"] = float(ci.iloc[1, 0])
|
| 198 |
+
out["CalibrationSlope_CI_high"] = float(ci.iloc[1, 1])
|
| 199 |
+
except Exception:
|
| 200 |
+
pass
|
| 201 |
+
|
| 202 |
+
return out
|
| 203 |
+
|
| 204 |
+
|
| 205 |
+
# ----------------------------------------------------------------------
|
| 206 |
+
# Plotting
|
| 207 |
+
# ----------------------------------------------------------------------
|
| 208 |
+
|
| 209 |
+
def plot_calibration_curve(y_true, y_prob, title="Calibration", n_bins=10,
|
| 210 |
+
ax=None, return_stats=False):
|
| 211 |
+
"""
|
| 212 |
+
Calibration plot with:
|
| 213 |
+
- decile points (observed vs predicted), marker size proportional to N per bin
|
| 214 |
+
- diagonal reference line (perfect calibration)
|
| 215 |
+
- histogram of predicted probabilities along the bottom
|
| 216 |
+
- intercept and slope (with 95% CIs) annotated in the title
|
| 217 |
+
- Brier score annotated in the legend
|
| 218 |
+
|
| 219 |
+
If ax is provided, draws into that axis. Otherwise creates a new fig/ax.
|
| 220 |
+
Returns the matplotlib figure (and stats dict if return_stats=True).
|
| 221 |
+
"""
|
| 222 |
+
stats = compute_calibration_stats(y_true, y_prob, n_bins=n_bins)
|
| 223 |
+
|
| 224 |
+
if ax is None:
|
| 225 |
+
fig, ax = plt.subplots(figsize=(6.5, 6.0))
|
| 226 |
+
else:
|
| 227 |
+
fig = ax.figure
|
| 228 |
+
|
| 229 |
+
# Diagonal reference
|
| 230 |
+
ax.plot([0, 1], [0, 1], linestyle="--", color="0.4", label="Perfect calibration")
|
| 231 |
+
|
| 232 |
+
# Decile points with marker size proportional to bin count
|
| 233 |
+
prob_true = stats["BinProbTrue"]
|
| 234 |
+
prob_pred = stats["BinProbPred"]
|
| 235 |
+
bin_counts = stats["BinCounts"]
|
| 236 |
+
|
| 237 |
+
if len(prob_true) and len(prob_pred):
|
| 238 |
+
if len(bin_counts) == len(prob_pred) and bin_counts.sum() > 0:
|
| 239 |
+
sizes = 40 + 200 * (bin_counts / bin_counts.max())
|
| 240 |
+
else:
|
| 241 |
+
sizes = np.full(len(prob_pred), 80.0)
|
| 242 |
+
|
| 243 |
+
ax.scatter(prob_pred, prob_true, s=sizes, color="#1F77B4",
|
| 244 |
+
edgecolor="white", linewidth=0.8, zorder=3, label="Model")
|
| 245 |
+
ax.plot(prob_pred, prob_true, color="#1F77B4", alpha=0.5, zorder=2)
|
| 246 |
+
|
| 247 |
+
# Annotation
|
| 248 |
+
icpt = stats["CalibrationIntercept"]
|
| 249 |
+
icpt_lo = stats["CalibrationIntercept_CI_low"]
|
| 250 |
+
icpt_hi = stats["CalibrationIntercept_CI_high"]
|
| 251 |
+
slope = stats["CalibrationSlope"]
|
| 252 |
+
slope_lo = stats["CalibrationSlope_CI_low"]
|
| 253 |
+
slope_hi = stats["CalibrationSlope_CI_high"]
|
| 254 |
+
brier = stats["Brier"]
|
| 255 |
+
|
| 256 |
+
def fmt(v):
|
| 257 |
+
return "NA" if (v is None or np.isnan(v)) else f"{v:.2f}"
|
| 258 |
+
|
| 259 |
+
full_title = (
|
| 260 |
+
f"{title}\n"
|
| 261 |
+
f"Intercept = {fmt(icpt)} ({fmt(icpt_lo)} to {fmt(icpt_hi)}) "
|
| 262 |
+
f"Slope = {fmt(slope)} ({fmt(slope_lo)} to {fmt(slope_hi)}) "
|
| 263 |
+
f"Brier = {fmt(brier)}"
|
| 264 |
+
)
|
| 265 |
+
ax.set_title(full_title, fontsize=10)
|
| 266 |
+
ax.set_xlabel("Mean predicted probability")
|
| 267 |
+
ax.set_ylabel("Observed event rate")
|
| 268 |
+
ax.set_xlim(-0.02, 1.02)
|
| 269 |
+
ax.set_ylim(-0.02, 1.02)
|
| 270 |
+
ax.grid(alpha=0.3, linestyle=":")
|
| 271 |
+
ax.legend(loc="upper left", fontsize=9, framealpha=0.85)
|
| 272 |
+
|
| 273 |
+
# Histogram of predicted probabilities at the bottom (twin axis)
|
| 274 |
+
y_true_arr, y_prob_arr = _clean_binary_inputs(y_true, y_prob)
|
| 275 |
+
if len(y_prob_arr) > 0:
|
| 276 |
+
ax2 = ax.twinx()
|
| 277 |
+
ax2.hist(y_prob_arr, bins=30, range=(0, 1), color="0.7", alpha=0.5,
|
| 278 |
+
edgecolor="white", linewidth=0.3)
|
| 279 |
+
ax2.set_ylabel("Count (predicted prob)", fontsize=9, color="0.5")
|
| 280 |
+
ax2.tick_params(axis="y", labelsize=8, colors="0.5")
|
| 281 |
+
# Keep histogram in the bottom third
|
| 282 |
+
hist_max = ax2.get_ylim()[1]
|
| 283 |
+
ax2.set_ylim(0, hist_max * 3)
|
| 284 |
+
ax2.set_zorder(0)
|
| 285 |
+
ax.set_zorder(1)
|
| 286 |
+
ax.patch.set_alpha(0)
|
| 287 |
+
|
| 288 |
+
fig.tight_layout()
|
| 289 |
+
if return_stats:
|
| 290 |
+
return fig, stats
|
| 291 |
+
return fig
|
| 292 |
+
|
| 293 |
+
|
| 294 |
+
def plot_multi_cohort_calibration(cohort_results, ncols=3, figsize=None):
|
| 295 |
+
"""
|
| 296 |
+
Composite calibration figure across cohorts. Use this for the
|
| 297 |
+
supplementary figure referenced in the manuscript revision roadmap.
|
| 298 |
+
|
| 299 |
+
cohort_results: dict of {cohort_name: (y_true, y_prob)}
|
| 300 |
+
"""
|
| 301 |
+
n = len(cohort_results)
|
| 302 |
+
if n == 0:
|
| 303 |
+
return None
|
| 304 |
+
nrows = int(np.ceil(n / ncols))
|
| 305 |
+
if figsize is None:
|
| 306 |
+
figsize = (5 * ncols, 4.5 * nrows)
|
| 307 |
+
fig, axes = plt.subplots(nrows, ncols, figsize=figsize, squeeze=False)
|
| 308 |
+
for i, (cohort_name, (y_true, y_prob)) in enumerate(cohort_results.items()):
|
| 309 |
+
r, c = divmod(i, ncols)
|
| 310 |
+
plot_calibration_curve(y_true, y_prob, title=cohort_name, ax=axes[r][c])
|
| 311 |
+
# Hide unused panels
|
| 312 |
+
for j in range(n, nrows * ncols):
|
| 313 |
+
r, c = divmod(j, ncols)
|
| 314 |
+
axes[r][c].axis("off")
|
| 315 |
+
fig.tight_layout()
|
| 316 |
+
return fig
|