File size: 20,780 Bytes
055cc2f
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
"""
Robust ML + Matroid Partitioning model for Constantan-type Cu-Ni alloy design.

Purpose
-------
Train a property surrogate model for candidate alloy-process-test configurations,
estimate prediction uncertainty from an ensemble, evaluate robust feasibility under
composition/process/test perturbations, then assign candidates into interpretable
matroid-constrained design buckets.

Expected training CSV columns
-----------------------------
Features:
    x_Cu_wt, x_Ni_wt, dopant_wt, cold_work_pct, anneal_temp_C,
    anneal_time_min, test_temp_C, cyclic_strain_pct, cooling_rate_C_s,
    grain_size_um, cast_route, cooling_route

Targets:
    resistivity_uohm_cm, tcr_ppm_K, seebeck_uV_K, resistance_drift_ppm,
    hardness_HV, strength_MPa, ductility_pct, stability_score

The script includes a synthetic data generator only for pipeline testing.
Replace it with real experimental/CALPHAD/simulation data before using conclusions.
"""

from __future__ import annotations

from dataclasses import dataclass, field
from typing import Dict, List, Tuple, Optional, Any
import json
import warnings

import numpy as np
import pandas as pd

from sklearn.compose import ColumnTransformer
from sklearn.ensemble import RandomForestRegressor
from sklearn.metrics import mean_absolute_error, r2_score
from sklearn.model_selection import train_test_split
from sklearn.pipeline import Pipeline
from sklearn.preprocessing import OneHotEncoder, StandardScaler
import joblib


FEATURE_COLUMNS = [
    "x_Cu_wt",
    "x_Ni_wt",
    "dopant_wt",
    "cold_work_pct",
    "anneal_temp_C",
    "anneal_time_min",
    "test_temp_C",
    "cyclic_strain_pct",
    "cooling_rate_C_s",
    "grain_size_um",
    "cast_route",
    "cooling_route",
]

NUMERIC_FEATURES = [
    "x_Cu_wt",
    "x_Ni_wt",
    "dopant_wt",
    "cold_work_pct",
    "anneal_temp_C",
    "anneal_time_min",
    "test_temp_C",
    "cyclic_strain_pct",
    "cooling_rate_C_s",
    "grain_size_um",
]

CATEGORICAL_FEATURES = ["cast_route", "cooling_route"]

TARGET_COLUMNS = [
    "resistivity_uohm_cm",
    "tcr_ppm_K",
    "seebeck_uV_K",
    "resistance_drift_ppm",
    "hardness_HV",
    "strength_MPa",
    "ductility_pct",
    "stability_score",
]


@dataclass
class PropertyWindows:
    """Acceptable target windows for robust feasibility checks."""
    resistivity_uohm_cm: Tuple[float, float] = (45.0, 55.0)
    tcr_ppm_K_abs_max: float = 60.0
    resistance_drift_ppm_abs_max: float = 120.0
    hardness_HV: Tuple[float, float] = (90.0, 230.0)
    strength_MPa: Tuple[float, float] = (250.0, 850.0)
    ductility_pct_min: float = 8.0
    stability_score_min: float = 0.60


@dataclass
class ScenarioConfig:
    """Perturbation ranges used to test robustness."""
    n_scenarios: int = 64
    delta_x_Ni_wt: float = 0.35
    delta_dopant_wt: float = 0.02
    delta_cold_work_pct: float = 2.0
    delta_anneal_temp_C: float = 10.0
    delta_anneal_time_min: float = 5.0
    delta_test_temp_C: float = 3.0
    delta_cyclic_strain_pct: float = 0.015
    delta_cooling_rate_frac: float = 0.10
    measurement_noise_scale: Dict[str, float] = field(default_factory=lambda: {
        "resistivity_uohm_cm": 0.15,
        "tcr_ppm_K": 3.0,
        "seebeck_uV_K": 0.10,
        "resistance_drift_ppm": 5.0,
        "hardness_HV": 2.0,
        "strength_MPa": 5.0,
        "ductility_pct": 0.30,
        "stability_score": 0.02,
    })


@dataclass
class MatroidConfig:
    """Capacity constraints for greedy partition matroids."""
    bucket_size: int = 6
    max_per_nickel_bin: int = 2
    max_per_cold_work_class: int = 2
    max_per_anneal_bin: int = 2
    min_pass_rate: float = 0.80


class RobustConstantanML:
    """
    Multi-output property surrogate + uncertainty estimator + robust feasibility scorer.
    """

    def __init__(
        self,
        n_estimators: int = 400,
        random_state: int = 7,
        property_windows: Optional[PropertyWindows] = None,
        scenario_config: Optional[ScenarioConfig] = None,
    ) -> None:
        self.property_windows = property_windows or PropertyWindows()
        self.scenario_config = scenario_config or ScenarioConfig()
        self.random_state = random_state

        preprocessor = ColumnTransformer(
            transformers=[
                ("num", StandardScaler(), NUMERIC_FEATURES),
                ("cat", OneHotEncoder(handle_unknown="ignore"), CATEGORICAL_FEATURES),
            ]
        )

        model = RandomForestRegressor(
            n_estimators=n_estimators,
            max_depth=None,
            min_samples_leaf=2,
            random_state=random_state,
            n_jobs=-1,
        )

        self.pipeline = Pipeline(
            steps=[
                ("preprocess", preprocessor),
                ("model", model),
            ]
        )

    def _validate_columns(self, df: pd.DataFrame, require_targets: bool = False) -> None:
        missing_features = [c for c in FEATURE_COLUMNS if c not in df.columns]
        if missing_features:
            raise ValueError(f"Missing feature columns: {missing_features}")

        if require_targets:
            missing_targets = [c for c in TARGET_COLUMNS if c not in df.columns]
            if missing_targets:
                raise ValueError(f"Missing target columns: {missing_targets}")

    def fit(self, df: pd.DataFrame) -> Dict[str, Any]:
        """Fit the multi-output surrogate model."""
        self._validate_columns(df, require_targets=True)
        X = df[FEATURE_COLUMNS].copy()
        y = df[TARGET_COLUMNS].copy()
        self.pipeline.fit(X, y)
        return {"status": "fit_complete", "n_rows": len(df)}

    def evaluate(self, df: pd.DataFrame, test_size: float = 0.25) -> pd.DataFrame:
        """Train/test evaluation on a supplied dataset."""
        self._validate_columns(df, require_targets=True)
        train_df, test_df = train_test_split(
            df, test_size=test_size, random_state=self.random_state
        )
        self.fit(train_df)
        pred = self.pipeline.predict(test_df[FEATURE_COLUMNS])

        rows = []
        for j, target in enumerate(TARGET_COLUMNS):
            rows.append({
                "target": target,
                "MAE": mean_absolute_error(test_df[target], pred[:, j]),
                "R2": r2_score(test_df[target], pred[:, j]),
            })
        return pd.DataFrame(rows)

    def predict_mean_std(self, candidates: pd.DataFrame) -> Tuple[pd.DataFrame, pd.DataFrame]:
        """
        Predict mean and uncertainty using the distribution across random-forest trees.
        """
        self._validate_columns(candidates, require_targets=False)

        preprocess = self.pipeline.named_steps["preprocess"]
        rf = self.pipeline.named_steps["model"]
        X_trans = preprocess.transform(candidates[FEATURE_COLUMNS])
        tree_preds = np.stack([tree.predict(X_trans) for tree in rf.estimators_], axis=0)

        mean = tree_preds.mean(axis=0)
        std = tree_preds.std(axis=0)

        mean_df = pd.DataFrame(mean, columns=TARGET_COLUMNS, index=candidates.index)
        std_df = pd.DataFrame(std, columns=[f"{c}_std" for c in TARGET_COLUMNS], index=candidates.index)
        return mean_df, std_df

    def make_scenarios(self, candidates: pd.DataFrame) -> pd.DataFrame:
        """
        Generate perturbed candidate rows for robust feasibility testing.
        """
        self._validate_columns(candidates, require_targets=False)
        cfg = self.scenario_config
        rng = np.random.default_rng(self.random_state)

        repeated = pd.concat([candidates.copy()] * cfg.n_scenarios, ignore_index=False)
        repeated = repeated.reset_index(names="candidate_index")
        repeated["scenario_id"] = np.repeat(np.arange(cfg.n_scenarios), len(candidates))

        def uniform_delta(scale: float, size: int) -> np.ndarray:
            return rng.uniform(-scale, scale, size=size)

        n = len(repeated)

        repeated["x_Ni_wt"] = repeated["x_Ni_wt"] + uniform_delta(cfg.delta_x_Ni_wt, n)
        repeated["dopant_wt"] = (repeated["dopant_wt"] + uniform_delta(cfg.delta_dopant_wt, n)).clip(lower=0)
        repeated["x_Cu_wt"] = 100.0 - repeated["x_Ni_wt"] - repeated["dopant_wt"]

        repeated["cold_work_pct"] = (repeated["cold_work_pct"] + uniform_delta(cfg.delta_cold_work_pct, n)).clip(0, 95)
        repeated["anneal_temp_C"] = repeated["anneal_temp_C"] + uniform_delta(cfg.delta_anneal_temp_C, n)
        repeated["anneal_time_min"] = (repeated["anneal_time_min"] + uniform_delta(cfg.delta_anneal_time_min, n)).clip(lower=1)
        repeated["test_temp_C"] = repeated["test_temp_C"] + uniform_delta(cfg.delta_test_temp_C, n)
        repeated["cyclic_strain_pct"] = (repeated["cyclic_strain_pct"] + uniform_delta(cfg.delta_cyclic_strain_pct, n)).clip(lower=0)
        repeated["cooling_rate_C_s"] = repeated["cooling_rate_C_s"] * rng.uniform(
            1.0 - cfg.delta_cooling_rate_frac,
            1.0 + cfg.delta_cooling_rate_frac,
            size=n,
        )

        return repeated

    def _property_pass_mask(self, y: pd.DataFrame) -> pd.Series:
        """Boolean pass/fail against target windows."""
        w = self.property_windows
        return (
            y["resistivity_uohm_cm"].between(*w.resistivity_uohm_cm)
            & (y["tcr_ppm_K"].abs() <= w.tcr_ppm_K_abs_max)
            & (y["resistance_drift_ppm"].abs() <= w.resistance_drift_ppm_abs_max)
            & y["hardness_HV"].between(*w.hardness_HV)
            & y["strength_MPa"].between(*w.strength_MPa)
            & (y["ductility_pct"] >= w.ductility_pct_min)
            & (y["stability_score"] >= w.stability_score_min)
        )

    def robust_score(self, candidates: pd.DataFrame) -> pd.DataFrame:
        """
        Return nominal predictions, prediction uncertainty, scenario pass-rate,
        worst-case loss, and robust feasibility flag for each candidate.
        """
        mean_df, std_df = self.predict_mean_std(candidates)

        scenarios = self.make_scenarios(candidates)
        scenario_pred, _ = self.predict_mean_std(scenarios)

        # Add measurement-noise safety margin by pessimistically widening predicted response.
        cfg = self.scenario_config
        noisy = scenario_pred.copy()
        for col, scale in cfg.measurement_noise_scale.items():
            noisy[col] += np.random.default_rng(self.random_state + 13).normal(0, scale, len(noisy))

        pass_mask = self._property_pass_mask(noisy)
        scenario_eval = scenarios[["candidate_index", "scenario_id"]].copy()
        scenario_eval["pass"] = pass_mask.to_numpy()

        # A simple interpretable robust loss. Lower is better.
        w = self.property_windows
        rho_mid = 0.5 * (w.resistivity_uohm_cm[0] + w.resistivity_uohm_cm[1])

        loss = (
            (noisy["resistivity_uohm_cm"] - rho_mid).abs() / max(1e-9, rho_mid)
            + noisy["tcr_ppm_K"].abs() / max(1e-9, w.tcr_ppm_K_abs_max)
            + noisy["resistance_drift_ppm"].abs() / max(1e-9, w.resistance_drift_ppm_abs_max)
            + np.maximum(0, w.hardness_HV[0] - noisy["hardness_HV"]) / w.hardness_HV[0]
            + np.maximum(0, noisy["hardness_HV"] - w.hardness_HV[1]) / w.hardness_HV[1]
            + np.maximum(0, w.ductility_pct_min - noisy["ductility_pct"]) / w.ductility_pct_min
            + np.maximum(0, w.stability_score_min - noisy["stability_score"]) / w.stability_score_min
        )
        scenario_eval["loss"] = loss.to_numpy()

        agg = scenario_eval.groupby("candidate_index").agg(
            pass_rate=("pass", "mean"),
            worst_case_loss=("loss", "max"),
            mean_loss=("loss", "mean"),
        )

        out = candidates.copy()
        for c in mean_df.columns:
            out[f"pred_{c}"] = mean_df[c].values
        for c in std_df.columns:
            out[c] = std_df[c].values

        out = out.join(agg, how="left")
        out["robust_feasible"] = out["pass_rate"] >= 0.80

        # Overall score: high pass rate, low worst loss, low uncertainty.
        uncertainty_cols = [f"{c}_std" for c in TARGET_COLUMNS]
        out["mean_prediction_std"] = out[uncertainty_cols].mean(axis=1)
        out["robust_score"] = (
            2.0 * out["pass_rate"]
            - out["worst_case_loss"]
            - 0.01 * out["mean_prediction_std"]
        )
        return out

    def save(self, path: str) -> None:
        payload = {
            "pipeline": self.pipeline,
            "property_windows": self.property_windows,
            "scenario_config": self.scenario_config,
            "random_state": self.random_state,
        }
        joblib.dump(payload, path)

    @classmethod
    def load(cls, path: str) -> "RobustConstantanML":
        payload = joblib.load(path)
        obj = cls(
            property_windows=payload["property_windows"],
            scenario_config=payload["scenario_config"],
            random_state=payload["random_state"],
        )
        obj.pipeline = payload["pipeline"]
        return obj


def add_matroid_classes(df: pd.DataFrame) -> pd.DataFrame:
    """Create discrete blocks used by the partition matroid constraints."""
    out = df.copy()
    out["nickel_bin"] = pd.cut(
        out["x_Ni_wt"],
        bins=[0, 35, 40, 45, 50, 55, 100],
        labels=["<35", "35-40", "40-45", "45-50", "50-55", ">55"],
        include_lowest=True,
    ).astype(str)

    out["cold_work_class"] = pd.cut(
        out["cold_work_pct"],
        bins=[-0.1, 20, 50, 100],
        labels=["low", "moderate", "high"],
        include_lowest=True,
    ).astype(str)

    out["anneal_bin"] = pd.cut(
        out["anneal_temp_C"],
        bins=[0, 350, 500, 650, 2000],
        labels=["low_T", "mid_T", "high_T", "very_high_T"],
        include_lowest=True,
    ).astype(str)

    out["uncertainty_class"] = pd.cut(
        out["mean_prediction_std"],
        bins=[-np.inf, out["mean_prediction_std"].quantile(0.33),
              out["mean_prediction_std"].quantile(0.66), np.inf],
        labels=["low_uq", "mid_uq", "high_uq"],
        include_lowest=True,
    ).astype(str)

    return out


def _bucket_score(df: pd.DataFrame, bucket: str) -> pd.Series:
    """Bucket-specific priority functions."""
    score = df["robust_score"].copy()

    if bucket == "electrical_stability":
        score += (
            -0.015 * df["pred_tcr_ppm_K"].abs()
            -0.005 * df["pred_resistance_drift_ppm"].abs()
        )
    elif bucket == "high_resistivity":
        score += 0.04 * df["pred_resistivity_uohm_cm"]
    elif bucket == "formability":
        score += 0.08 * df["pred_ductility_pct"] - 0.005 * df["pred_hardness_HV"]
    elif bucket == "robust_manufacturing":
        score += 1.5 * df["pass_rate"] - 0.02 * df["mean_prediction_std"]
    elif bucket == "experimental_validation":
        # Prefer good but diverse mid-uncertainty candidates for learning.
        median_uq = df["mean_prediction_std"].median()
        score += -0.02 * (df["mean_prediction_std"] - median_uq).abs()

    return score


def greedy_matroid_partition(
    scored_candidates: pd.DataFrame,
    config: Optional[MatroidConfig] = None,
    buckets: Optional[List[str]] = None,
) -> Dict[str, pd.DataFrame]:
    """
    Greedy partitioning under interpretable capacity constraints.
    This is a practical partition-matroid heuristic, not a proof-optimal exact solver.
    """
    config = config or MatroidConfig()
    buckets = buckets or [
        "electrical_stability",
        "high_resistivity",
        "formability",
        "robust_manufacturing",
        "experimental_validation",
    ]

    df = add_matroid_classes(scored_candidates)
    df = df[df["pass_rate"] >= config.min_pass_rate].copy()

    used_indices = set()
    partitions: Dict[str, pd.DataFrame] = {}

    for bucket in buckets:
        pool = df[~df.index.isin(used_indices)].copy()
        if pool.empty:
            partitions[bucket] = pool
            continue

        pool["bucket_priority"] = _bucket_score(pool, bucket)
        pool = pool.sort_values("bucket_priority", ascending=False)

        counts = {
            "nickel_bin": {},
            "cold_work_class": {},
            "anneal_bin": {},
        }
        selected_rows = []

        for idx, row in pool.iterrows():
            if len(selected_rows) >= config.bucket_size:
                break

            checks = [
                counts["nickel_bin"].get(row["nickel_bin"], 0) < config.max_per_nickel_bin,
                counts["cold_work_class"].get(row["cold_work_class"], 0) < config.max_per_cold_work_class,
                counts["anneal_bin"].get(row["anneal_bin"], 0) < config.max_per_anneal_bin,
            ]

            if all(checks):
                selected_rows.append(idx)
                used_indices.add(idx)
                for key in counts:
                    val = row[key]
                    counts[key][val] = counts[key].get(val, 0) + 1

        partitions[bucket] = pool.loc[selected_rows].copy()

    return partitions


def generate_synthetic_constantan_data(n: int = 600, random_state: int = 7) -> pd.DataFrame:
    """
    Synthetic data generator for debugging the pipeline.
    These formulas are illustrative only and should be replaced by real measurements.
    """
    rng = np.random.default_rng(random_state)

    x_Ni = rng.uniform(35, 55, n)
    dopant = rng.choice([0.0, 0.05, 0.10, 0.15, 0.20], size=n)
    x_Cu = 100 - x_Ni - dopant
    cold = rng.uniform(5, 75, n)
    ann_T = rng.uniform(300, 650, n)
    ann_t = rng.uniform(10, 90, n)
    test_T = rng.uniform(20, 150, n)
    strain = rng.uniform(0.01, 0.25, n)
    cool = np.exp(rng.uniform(np.log(0.1), np.log(20), n))
    grain = np.clip(60 - 0.06 * ann_T + 0.25 * ann_t + rng.normal(0, 5, n), 2, 120)

    cast_route = rng.choice(["slow_cooled", "standard_cast", "controlled_solidification"], size=n)
    cooling_route = rng.choice(["furnace", "air", "rapid"], size=n)

    # Illustrative response surfaces.
    rho = 42 + 0.42 * (x_Ni - 35) - 0.002 * (ann_T - 450) + 2.0 * dopant + rng.normal(0, 0.8, n)
    tcr = 85 - 3.2 * (x_Ni - 40) + 0.07 * (ann_T - 450) + rng.normal(0, 9, n)
    seebeck = -36 + 0.22 * (x_Ni - 45) + rng.normal(0, 0.6, n)
    drift = 40 + 0.85 * cold + 0.18 * (test_T - 25) - 0.10 * ann_t + 40 * strain + rng.normal(0, 16, n)
    hardness = 85 + 2.1 * cold - 0.10 * (ann_T - 300) + 18 * dopant + rng.normal(0, 8, n)
    strength = 230 + 7.8 * cold - 0.35 * (ann_T - 300) + 35 * dopant + rng.normal(0, 25, n)
    ductility = 28 - 0.23 * cold + 0.025 * (ann_T - 300) - 10 * strain + rng.normal(0, 2.0, n)
    stability = 0.78 - 0.002 * np.abs(ann_T - 480) - 0.0015 * cold - 0.25 * strain + rng.normal(0, 0.04, n)
    stability = np.clip(stability, 0, 1)

    return pd.DataFrame({
        "x_Cu_wt": x_Cu,
        "x_Ni_wt": x_Ni,
        "dopant_wt": dopant,
        "cold_work_pct": cold,
        "anneal_temp_C": ann_T,
        "anneal_time_min": ann_t,
        "test_temp_C": test_T,
        "cyclic_strain_pct": strain,
        "cooling_rate_C_s": cool,
        "grain_size_um": grain,
        "cast_route": cast_route,
        "cooling_route": cooling_route,
        "resistivity_uohm_cm": rho,
        "tcr_ppm_K": tcr,
        "seebeck_uV_K": seebeck,
        "resistance_drift_ppm": drift,
        "hardness_HV": hardness,
        "strength_MPa": strength,
        "ductility_pct": ductility,
        "stability_score": stability,
    })


def demo() -> None:
    data = generate_synthetic_constantan_data(n=750)
    model = RobustConstantanML(n_estimators=250)
    metrics = model.evaluate(data)
    print("Holdout metrics:")
    print(metrics.to_string(index=False))

    # Fit on all synthetic data after evaluation, then score candidate library.
    model.fit(data)
    candidate_library = data[FEATURE_COLUMNS].sample(80, random_state=11).reset_index(drop=True)
    scored = model.robust_score(candidate_library)

    partitions = greedy_matroid_partition(scored)
    for bucket, part in partitions.items():
        print(f"\nBUCKET: {bucket}")
        cols = [
            "x_Ni_wt", "cold_work_pct", "anneal_temp_C",
            "pred_resistivity_uohm_cm", "pred_tcr_ppm_K",
            "pred_hardness_HV", "pred_ductility_pct",
            "pass_rate", "worst_case_loss", "robust_score",
            "nickel_bin", "cold_work_class", "anneal_bin",
        ]
        if len(part) == 0:
            print("No candidates selected.")
        else:
            print(part[cols].round(3).to_string())

    model.save("robust_constantan_surrogate.joblib")
    scored.to_csv("scored_candidates.csv", index=False)
    print("\nSaved: robust_constantan_surrogate.joblib and scored_candidates.csv")


if __name__ == "__main__":
    with warnings.catch_warnings():
        warnings.simplefilter("ignore")
        demo()