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Post-process the surrogate-demo runs to compute the Laplace pressure jump
ΔP = P_inside - P_outside across the droplet interface, then re-train the
GP / RandomForest / MLP surrogates on this physically-meaningful target.
Reuses the existing dumps in work/surrogate_demo/run_*/dumps/ — no new
simulations are run.
Per-atom 'pressure' is approximated from the dumped stress/atom output as
P_atom ≈ -(sxx + syy) / 2 * rho_atom
since stress/atom is in units of pressure*volume and per-atom volume ~ 1/rho.
This is an order-of-magnitude estimate; the *jump* between inside and outside
is what the surrogate learns, and that is robust to a global volume scale.
"""
import csv
import json
import re
import sys
import time
from pathlib import Path
import numpy as np
from sklearn.ensemble import RandomForestRegressor
from sklearn.gaussian_process import GaussianProcessRegressor
from sklearn.gaussian_process.kernels import RBF, ConstantKernel, WhiteKernel
from sklearn.model_selection import LeaveOneOut
from sklearn.neural_network import MLPRegressor
from sklearn.pipeline import make_pipeline
from sklearn.preprocessing import StandardScaler
ROOT = Path(__file__).resolve().parent.parent
WORK = ROOT / "work" / "surrogate_demo"
N_TAIL_FRAMES = 5
SEED = 42
def parse_dump(path: Path):
"""Return numpy array of shape (n,4): type, density, sxx, syy."""
with path.open() as f:
lines = f.readlines()
# find ITEM: ATOMS line
for i, ln in enumerate(lines):
if ln.startswith("ITEM: ATOMS"):
header = ln.split()[2:]
data_start = i + 1
break
else:
raise RuntimeError(f"no ATOMS section in {path}")
cols = {name: idx for idx, name in enumerate(header)}
needed = ("type", "c_density", "c_peratom[1]", "c_peratom[2]")
idxs = [cols[n] for n in needed]
arr = np.empty((len(lines) - data_start, 4), dtype=float)
for j, ln in enumerate(lines[data_start:]):
parts = ln.split()
for k, ic in enumerate(idxs):
arr[j, k] = float(parts[ic])
return arr # columns: type, density, sxx, syy
def pressure_jump(run_dir: Path):
"""Average ΔP = P_inside - P_outside over the last N_TAIL_FRAMES dump frames."""
dumps = sorted(run_dir.glob("dumps/dump.*.lammpstrj"), key=lambda p: int(p.stem.split(".")[1]))
if len(dumps) < N_TAIL_FRAMES:
return None, None, None
tail = dumps[-N_TAIL_FRAMES:]
p_in_list, p_out_list = [], []
for d in tail:
a = parse_dump(d)
# P_atom ≈ -(sxx + syy)/2 * rho (per-atom virial → pressure)
p_atom = -0.5 * (a[:, 2] + a[:, 3]) * a[:, 1]
is_in = a[:, 0] == 2
if is_in.sum() == 0 or (~is_in).sum() == 0:
continue
p_in_list.append(p_atom[is_in].mean())
p_out_list.append(p_atom[~is_in].mean())
if not p_in_list:
return None, None, None
p_in = float(np.mean(p_in_list))
p_out = float(np.mean(p_out_list))
return p_in, p_out, p_in - p_out
def loo_score(model_factory, X, y):
loo = LeaveOneOut()
preds, truth = [], []
for tr, te in loo.split(X):
m = model_factory()
m.fit(X[tr], y[tr])
preds.append(float(m.predict(X[te])[0]))
truth.append(float(y[te][0]))
p = np.array(preds)
t = np.array(truth)
rmse = float(np.sqrt(np.mean((p - t) ** 2)))
ss_res = float(np.sum((p - t) ** 2))
ss_tot = float(np.sum((t - t.mean()) ** 2))
r2 = 1.0 - ss_res / ss_tot if ss_tot > 0 else float("nan")
return r2, rmse
def main() -> int:
csv_path = WORK / "data.csv"
if not csv_path.exists():
print(f"missing {csv_path} — run scripts/surrogate_demo.py first")
return 1
rows = list(csv.DictReader(csv_path.open()))
enriched = []
print(f"{'run':>5} {'sigmao':>7} {'dh':>7} {'rad':>6} {'P_in':>8} {'P_out':>8} {'ΔP':>8} {'σ/r':>7}")
for i, r in enumerate(rows):
run_dir = WORK / f"run_{i:03d}"
log = (run_dir / "log.lammps").read_text()
m = re.search(r"^Radio droplet:\s*([0-9.eE+-]+)", log, flags=re.M)
rad = float(m.group(1)) if m else float("nan")
p_in, p_out, dp = pressure_jump(run_dir)
sigmao = float(r["sigmao"])
dh = float(r["dh"])
sr = sigmao / rad if rad > 0 else float("nan")
if dp is None:
print(f"{i:5d} --- skipped ---")
continue
enriched.append({
"sigmao": sigmao, "dh": dh, "rad": rad,
"P_in": p_in, "P_out": p_out, "delta_P": dp,
"sigma_over_r": sr,
})
print(f"{i:5d} {sigmao:7.3f} {dh:7.4f} {rad:6.3f} {p_in:8.4f} {p_out:8.4f} {dp:8.4f} {sr:7.4f}")
out_csv = WORK / "data_with_dp.csv"
with out_csv.open("w") as f:
w = csv.DictWriter(f, fieldnames=list(enriched[0].keys()))
w.writeheader()
w.writerows(enriched)
print(f"\nSaved enriched data to {out_csv}")
# Correlations vs ΔP
arr = {k: np.array([d[k] for d in enriched]) for k in enriched[0]}
print(f"\nCorrelations with ΔP (n={len(enriched)}):")
for k in ("sigmao", "dh", "rad", "sigma_over_r"):
r = float(np.corrcoef(arr[k], arr["delta_P"])[0, 1])
print(f" {k:15s} r = {r:+.4f}")
X = np.column_stack([arr["sigmao"], arr["dh"]])
# ----- Primary target: P_inside (pressure inside the droplet) -----
# P_in is governed by local surface-tension physics; P_out is
# contaminated by box/wall artifacts and is not smooth in (σ, dh).
y = arr["P_in"]
print(f"\n=== Surrogate on (sigmao, dh) → P_inside ===")
print(f"Target P_in: range [{y.min():.4f}, {y.max():.4f}], mean {y.mean():.4f}, std {y.std():.4f}")
print(f"Baseline (predict mean): LOO R² = 0.000 RMSE = {y.std():.4f}")
def gp_factory():
kernel = ConstantKernel(1.0, (1e-3, 1e3)) * RBF(length_scale=[0.5, 0.05]) + WhiteKernel(1e-5, (1e-12, 1e-1))
return GaussianProcessRegressor(kernel=kernel, normalize_y=True, n_restarts_optimizer=4, random_state=SEED)
def rf_factory():
return RandomForestRegressor(n_estimators=300, min_samples_leaf=1, random_state=SEED)
def mlp_factory():
return make_pipeline(
StandardScaler(),
MLPRegressor(hidden_layer_sizes=(16, 16), activation="tanh", max_iter=8000, random_state=SEED, tol=1e-7),
)
results = {}
for name, factory in [("GP (RBF)", gp_factory), ("RandomForest", rf_factory), ("MLP (16,16) tanh", mlp_factory)]:
r2, rmse = loo_score(factory, X, y)
results[name] = {"r2": r2, "rmse": rmse}
verdict = " ← beats mean" if r2 > 0 else " worse than mean"
print(f"{name:24s} LOO R² = {r2:+.4f} RMSE = {rmse:.4f}{verdict}")
# Linear baseline: P_in = a*sigmao + b*dh + c
from sklearn.linear_model import LinearRegression
def lin_factory():
return LinearRegression()
r2_lin, rmse_lin = loo_score(lin_factory, X, y)
verdict = " ← beats mean" if r2_lin > 0 else " worse than mean"
print(f"{'Linear (2-feature)':24s} LOO R² = {r2_lin:+.4f} RMSE = {rmse_lin:.4f}{verdict}")
# ----- Secondary: ΔP across droplet interface (less clean signal) -----
y_dp = arr["delta_P"]
print(f"\n=== Surrogate on (sigmao, dh) → ΔP (P_in − P_out, secondary) ===")
print(f"Target ΔP: range [{y_dp.min():.4f}, {y_dp.max():.4f}], std {y_dp.std():.4f}")
print(f"Baseline (predict mean): LOO R² = 0.000 RMSE = {y_dp.std():.4f}")
for name, factory in [("GP (RBF)", gp_factory), ("RandomForest", rf_factory), ("Linear", lin_factory)]:
r2, rmse = loo_score(factory, X, y_dp)
verdict = " ← beats mean" if r2 > 0 else " worse than mean"
print(f"{name:24s} LOO R² = {r2:+.4f} RMSE = {rmse:.4f}{verdict}")
# Demo speedup: time the surrogate for many predictions
n_predict = 1000
rng = np.random.default_rng(SEED)
test_X = rng.uniform([arr["sigmao"].min(), arr["dh"].min()],
[arr["sigmao"].max(), arr["dh"].max()],
(n_predict, 2))
best_name = max(results, key=lambda k: results[k]["r2"])
factories = {"GP (RBF)": gp_factory, "RandomForest": rf_factory, "MLP (16,16) tanh": mlp_factory}
m = factories[best_name]()
m.fit(X, y)
t0 = time.time()
m.predict(test_X)
pred_ms = (time.time() - t0) * 1000
print(f"\n=== Speedup demo ===")
print(f"Best model: {best_name} (LOO R² = {results[best_name]['r2']:+.4f})")
print(f"Surrogate predicts {n_predict} new (sigmao,dh) points in {pred_ms:.1f} ms")
print(f"Each LAMMPS run takes ~65 s")
print(f"Speedup per query: ~{(65000 * n_predict) / pred_ms:,.0f}×")
summary = {"n": len(enriched), "models_xy_for_P_in": results}
(WORK / "summary_dp.json").write_text(json.dumps(summary, indent=2))
return 0
if __name__ == "__main__":
sys.exit(main())
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