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modified: __pycache__/evaluation_studio.cpython-314.pyc

Browse Source 
modified:   evaluation_studio.py
	modified:   scripts/dataset.py
	new file:   scripts/inference_utils.py
	modified:   scripts/predict_single.py
	modified:   scripts_2/__pycache__/task3_identify.cpython-314.pyc
	modified:   scripts_2/task3_identify.py
This commit is contained in:
CrbnsCat10n
2026-05-07 15:56:31 +08:00
parent d2dde4f557
commit 3d40e88e35
7 changed files with 285 additions and 27 deletions
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evaluation_studio.py
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@@ -97,7 +97,6 @@ def build_prediction_input(csv_path: Path, for_tmd: bool) -> dict:
calculate_rms,
estimate_sampling_rate,
extract_core_features,
extract_frequency_hz,
get_dominant_frequency,
get_middle_segment,
)
@@ -143,8 +142,6 @@ def build_prediction_input(csv_path: Path, for_tmd: bool) -> dict:
has_truth = True
sampling_rate = estimate_sampling_rate(np.asarray(time_middle, dtype=np.float64))
frequency_hz = extract_frequency_hz(csv_path.name)
if frequency_hz is None:
frequency_hz = get_dominant_frequency(np.asarray(x_middle, dtype=np.float32), sampling_rate)
features = extract_core_features(np.asarray(x_middle, dtype=np.float32), sampling_rate, config, known_frequency_hz=frequency_hz)
x_rms = float(calculate_rms(np.asarray(x_middle, dtype=np.float32)))
@@ -221,12 +218,20 @@ def save_prediction_overview_figure(
def run_task1(csv_path: Path) -> tuple[dict, Path]:
from scripts.config import CORE_FEATURE_NAMES
from scripts.inference_utils import predict_task1_tr
with CHECKPOINT_DEFAULT.open("rb") as handle:
payload = pickle.load(handle)
model = payload["model"]
pred_input = build_prediction_input(csv_path=csv_path, for_tmd=False)
pred_tr = max(float(model.predict([pred_input["features"].tolist()])[0]), pred_input["config"].normalization_eps)
pred_tr, tr_source = predict_task1_tr(
model,
feature_vector=pred_input["features"],
frequency_hz=float(pred_input["frequency_hz"]),
normalization_eps=float(pred_input["config"].normalization_eps),
project_root=PROJECT_ROOT,
prefer_curve=True,
)
pred_rms = pred_tr * float(pred_input["x_rms"])
true_rms = pred_input["true_y_rms"]
rel_err_pct = None if true_rms is None else abs(pred_rms - true_rms) / max(abs(true_rms), 1e-12) * 100.0
@@ -250,6 +255,7 @@ def run_task1(csv_path: Path) -> tuple[dict, Path]:
"x_rms": float(pred_input["x_rms"]),
"true_y_rms": None if true_rms is None else float(true_rms),
"pred_tr": float(pred_tr),
"pred_tr_source": str(tr_source),
"pred_y_rms": float(pred_rms),
"relative_error_percent": None if rel_err_pct is None else float(rel_err_pct),
"truth_available": bool(pred_input["has_truth"]),
@@ -378,13 +384,21 @@ def run_task3(csv_path: Path) -> tuple[dict, Path]:
def run_task4_tmd(csv_path: Path) -> tuple[dict, Path]:
from scripts_4.adapter import load_adapter
from scripts.inference_utils import predict_task1_tr
with CHECKPOINT_DEFAULT.open("rb") as handle:
payload = pickle.load(handle)
model = payload["model"]
adapter, adapter_extra = load_adapter(ADAPTER_DEFAULT)
pred_input = build_prediction_input(csv_path=csv_path, for_tmd=True)
pred_tr = max(float(model.predict([pred_input["features"].tolist()])[0]), pred_input["config"].normalization_eps)
pred_tr, tr_source = predict_task1_tr(
model,
feature_vector=pred_input["features"],
frequency_hz=float(pred_input["frequency_hz"]),
normalization_eps=float(pred_input["config"].normalization_eps),
project_root=PROJECT_ROOT,
prefer_curve=True,
)
pred_base = pred_tr * float(pred_input["x_rms"])
pred_tmd = adapter.predict(pred_base, float(pred_input["frequency_hz"]))
true_rms = pred_input["true_y_rms"]
@@ -409,6 +423,7 @@ def run_task4_tmd(csv_path: Path) -> tuple[dict, Path]:
"x_rms": float(pred_input["x_rms"]),
"true_y_rms": None if true_rms is None else float(true_rms),
"pred_base_y_rms": float(pred_base),
"pred_tr_source": str(tr_source),
"pred_tmd_y_rms": float(pred_tmd),
"adapter_scale_k": float(adapter.scale_at(float(pred_input["frequency_hz"]))),
"relative_error_percent": None if rel_err_pct is None else float(rel_err_pct),
@@ -424,6 +439,7 @@ def build_key_metrics(task_label: str, result: dict) -> str:
lines = [
f"预测RMS: {result.get('pred_y_rms')}",
f"预测TR: {result.get('pred_tr')}",
f"TR来源: {result.get('pred_tr_source')}",
f"激振频率(Hz): {result.get('frequency_hz')}",
f"输入RMS(x): {result.get('x_rms')}",
f"是否有真值: {'是' if result.get('truth_available') else '否'}",
@@ -435,9 +451,15 @@ def build_key_metrics(task_label: str, result: dict) -> str:
if task_label == TASK2_LABEL:
lines = [
f"自振频率f_n(Hz): {result.get('natural_frequency_hz')}",
f"阻尼比zeta: {result.get('damping_ratio')}",
f"精确阻尼比: {result.get('damping_ratio_exact')}",
f"包络R²: {result.get('envelope_r2')}",
f"局部阻尼比zeta: {result.get('damping_ratio')}",
f"全局阻尼比zeta: {result.get('global_damping_ratio')}",
f"最高峰后衰减阻尼比zeta: {result.get('max_tail_damping_ratio')}",
f"局部精确阻尼比: {result.get('damping_ratio_exact')}",
f"全局精确阻尼比: {result.get('global_damping_ratio_exact')}",
f"最高峰后衰减精确阻尼比: {result.get('max_tail_damping_ratio_exact')}",
f"局部包络R²: {result.get('envelope_r2')}",
f"全局包络R²: {result.get('global_envelope_r2')}",
f"最高峰后衰减包络R²: {result.get('max_tail_envelope_r2')}",
f"采样率(Hz): {result.get('sampling_rate_hz')}",
]
return "\n".join(lines)
@@ -462,6 +484,7 @@ def build_key_metrics(task_label: str, result: dict) -> str:
lines = [
f"挑战任务预测RMS: {result.get('pred_tmd_y_rms')}",
f"基础模型RMS: {result.get('pred_base_y_rms')}",
f"TR来源: {result.get('pred_tr_source')}",
f"适配系数k(f): {result.get('adapter_scale_k')}",
f"激振频率(Hz): {result.get('frequency_hz')}",
f"是否有真值: {'是' if result.get('truth_available') else '否'}",

4
scripts/dataset.py
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@@ -221,15 +221,13 @@ class LoadReport:
def list_harmonic_files(config: DataConfig) -> list[Path]:
files = sorted(config.data_root.rglob(config.harmonic_pattern))
return [file_path for file_path in files if extract_frequency_hz(file_path.name) is not None]
return files
def build_record_from_file(file_path: Path, config: DataConfig) -> SampleRecord:
time_values, x_values, y_values, interpolation_count = load_aligned_signals(file_path, config)
time_middle, x_middle, y_middle = get_middle_segment(time_values, x_values, y_values, config)
sampling_rate = estimate_sampling_rate(time_middle)
frequency_hz = extract_frequency_hz(file_path.name)
if frequency_hz is None:
frequency_hz = get_dominant_frequency(x_middle, sampling_rate)
x_rms = calculate_rms(x_middle)

72
scripts/inference_utils.py Normal file
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@@ -0,0 +1,72 @@
from __future__ import annotations
from functools import lru_cache
from pathlib import Path
import numpy as np
import pandas as pd
def _task1_curve_candidates(project_root: Path) -> tuple[Path, ...]:
base_dir = project_root / "evaluation_outputs" / "task1_final"
return (
base_dir / "task1_final_dense_curve.csv",
base_dir / "evaluation_dense_curve.csv",
)
@lru_cache(maxsize=8)
def load_task1_dense_curve(project_root_str: str) -> tuple[np.ndarray, np.ndarray, np.ndarray] | None:
project_root = Path(project_root_str)
for path in _task1_curve_candidates(project_root):
if not path.exists():
continue
try:
curve_df = pd.read_csv(path)
except Exception:
continue
required = {"frequency_hz", "pred_tr", "x_rms_interp"}
if not required.issubset(set(curve_df.columns)):
continue
cleaned = curve_df[["frequency_hz", "pred_tr", "x_rms_interp"]].copy()
cleaned["frequency_hz"] = pd.to_numeric(cleaned["frequency_hz"], errors="coerce")
cleaned["pred_tr"] = pd.to_numeric(cleaned["pred_tr"], errors="coerce")
cleaned["x_rms_interp"] = pd.to_numeric(cleaned["x_rms_interp"], errors="coerce")
cleaned = cleaned.dropna()
if cleaned.empty:
continue
cleaned = cleaned.sort_values("frequency_hz").drop_duplicates(subset="frequency_hz", keep="first")
return (
cleaned["frequency_hz"].to_numpy(dtype=np.float64),
cleaned["pred_tr"].to_numpy(dtype=np.float64),
cleaned["x_rms_interp"].to_numpy(dtype=np.float64),
)
return None
def predict_task1_tr(
model,
*,
feature_vector: np.ndarray,
frequency_hz: float,
normalization_eps: float,
project_root: Path,
prefer_curve: bool = True,
) -> tuple[float, str]:
features = np.asarray(feature_vector, dtype=np.float64).reshape(1, -1)
tr_value = max(float(model.predict(features)[0]), normalization_eps)
source = "model_direct"
if prefer_curve:
curve = load_task1_dense_curve(str(project_root.resolve()))
if curve is not None and features.shape[1] >= 3:
freq_grid, _tr_grid, x_ref_grid = curve
query_freq = float(np.clip(frequency_hz, freq_grid.min(), freq_grid.max()))
x_ref = float(np.interp(query_freq, freq_grid, x_ref_grid))
x_obs = float(features[0, 2])
ratio = x_obs / max(x_ref, normalization_eps)
if ratio > 1.15 or ratio < 0.85:
tr_value = max(tr_value / ratio, normalization_eps)
source = "model_amp_adapt"
return tr_value, source

12
scripts/predict_single.py
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@@ -10,9 +10,11 @@ import numpy as np
try:
from .config import CORE_FEATURE_NAMES, evaluation_dir, make_experiment_config
from .dataset import build_record_from_file
from .inference_utils import predict_task1_tr
except ImportError:
from config import CORE_FEATURE_NAMES, evaluation_dir, make_experiment_config
from dataset import build_record_from_file
from inference_utils import predict_task1_tr
def parse_args() -> argparse.Namespace:
@@ -87,7 +89,14 @@ def main() -> None:
file_path = Path(args.file).resolve()
record = build_record_from_file(file_path, config.data)
pred_tr = max(float(model.predict([record.features.tolist()])[0]), config.data.normalization_eps)
pred_tr, tr_source = predict_task1_tr(
model,
feature_vector=record.features,
frequency_hz=float(record.frequency_hz),
normalization_eps=float(config.data.normalization_eps),
project_root=config.data.project_root,
prefer_curve=True,
)
pred_rms = pred_tr * record.x_rms
out_dir = evaluation_dir(config)
@@ -99,6 +108,7 @@ def main() -> None:
for feature_name, feature_value in zip(CORE_FEATURE_NAMES, record.features.tolist()):
print(f"{feature_name}: {feature_value:.6f}")
print(f"Predicted TR: {pred_tr:.6f}")
print(f"TR Source: {tr_source}")
print(f"Predicted RMS: {pred_rms:.6f}")
print(f"True RMS: {record.y_rms:.6f}")
print(f"Relative RMS Error (%): {abs(pred_rms - record.y_rms) / max(abs(record.y_rms), 1e-12) * 100.0:.4f}")

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scripts_2/task3_identify.py
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@@ -74,6 +74,109 @@ def build_envelope_curve(
return time_values, envelope
def log_decrement_metrics(peak_amplitudes: np.ndarray) -> tuple[float, float, float]:
amplitudes = np.asarray(peak_amplitudes, dtype=np.float64).reshape(-1)
if amplitudes.size < 2 or np.any(amplitudes <= 0.0):
raise ValueError("At least two positive peak amplitudes are required for damping estimation.")
log_decrements = np.log(amplitudes[:-1] / amplitudes[1:])
mean_log_decrement = float(np.mean(log_decrements))
damping_ratio = float(mean_log_decrement / (2.0 * np.pi))
damping_ratio_exact = float(
mean_log_decrement / np.sqrt((2.0 * np.pi) ** 2 + mean_log_decrement**2)
)
return mean_log_decrement, damping_ratio, damping_ratio_exact
def estimate_global_decay_metrics(
filtered_signal: np.ndarray,
peak_indices: np.ndarray,
sampling_rate: float,
min_peaks: int = 5,
) -> dict[str, np.ndarray | float]:
filtered_signal = np.asarray(filtered_signal, dtype=np.float64).reshape(-1)
peak_indices = np.asarray(peak_indices, dtype=int).reshape(-1)
if peak_indices.size < min_peaks:
raise ValueError("Too few peaks were detected for global damping estimation.")
amplitudes = np.abs(filtered_signal[peak_indices])
tail_start = int(filtered_signal.size * 0.85)
noise_slice = filtered_signal[tail_start:] if tail_start < filtered_signal.size else filtered_signal
noise_floor = max(float(np.median(np.abs(noise_slice))), 1e-8)
useful_mask = amplitudes > max(3.0 * noise_floor, 0.05 * float(amplitudes.max()))
useful_indices = peak_indices[useful_mask]
useful_amplitudes = amplitudes[useful_mask]
if useful_indices.size < min_peaks:
useful_indices = peak_indices
useful_amplitudes = amplitudes
time_window = useful_indices.astype(np.float64) / sampling_rate
log_amp = np.log(np.maximum(useful_amplitudes, 1e-12))
slope, intercept = np.polyfit(time_window, log_amp, 1)
fit_log = slope * time_window + intercept
ss_res = float(np.sum((log_amp - fit_log) ** 2))
ss_tot = float(np.sum((log_amp - np.mean(log_amp)) ** 2))
r_squared = 1.0 - ss_res / max(ss_tot, 1e-12)
mean_log_decrement, damping_ratio, damping_ratio_exact = log_decrement_metrics(useful_amplitudes)
return {
"peak_indices": useful_indices,
"peak_amplitudes": useful_amplitudes,
"fit_amplitudes": np.exp(fit_log),
"r_squared": float(r_squared),
"mean_log_decrement": float(mean_log_decrement),
"damping_ratio": float(damping_ratio),
"damping_ratio_exact": float(damping_ratio_exact),
}
def estimate_tail_from_max_peak_metrics(
filtered_signal: np.ndarray,
peak_indices: np.ndarray,
sampling_rate: float,
min_peaks: int = 5,
) -> dict[str, np.ndarray | float]:
filtered_signal = np.asarray(filtered_signal, dtype=np.float64).reshape(-1)
peak_indices = np.asarray(peak_indices, dtype=int).reshape(-1)
if peak_indices.size < min_peaks:
raise ValueError("Too few peaks were detected for max-peak-tail damping estimation.")
amplitudes = np.abs(filtered_signal[peak_indices])
max_peak_pos = int(np.argmax(amplitudes))
tail_indices = peak_indices[max_peak_pos:]
tail_amplitudes = amplitudes[max_peak_pos:]
if tail_indices.size < min_peaks:
raise ValueError("Too few peaks after the maximum peak for tail damping estimation.")
tail_start = int(filtered_signal.size * 0.85)
noise_slice = filtered_signal[tail_start:] if tail_start < filtered_signal.size else filtered_signal
noise_floor = max(float(np.median(np.abs(noise_slice))), 1e-8)
useful_mask = tail_amplitudes > max(3.0 * noise_floor, 0.05 * float(tail_amplitudes.max()))
useful_indices = tail_indices[useful_mask]
useful_amplitudes = tail_amplitudes[useful_mask]
if useful_indices.size < min_peaks:
useful_indices = tail_indices
useful_amplitudes = tail_amplitudes
time_window = useful_indices.astype(np.float64) / sampling_rate
log_amp = np.log(np.maximum(useful_amplitudes, 1e-12))
slope, intercept = np.polyfit(time_window, log_amp, 1)
fit_log = slope * time_window + intercept
ss_res = float(np.sum((log_amp - fit_log) ** 2))
ss_tot = float(np.sum((log_amp - np.mean(log_amp)) ** 2))
r_squared = 1.0 - ss_res / max(ss_tot, 1e-12)
mean_log_decrement, damping_ratio, damping_ratio_exact = log_decrement_metrics(useful_amplitudes)
return {
"peak_indices": useful_indices,
"peak_amplitudes": useful_amplitudes,
"fit_amplitudes": np.exp(fit_log),
"r_squared": float(r_squared),
"mean_log_decrement": float(mean_log_decrement),
"damping_ratio": float(damping_ratio),
"damping_ratio_exact": float(damping_ratio_exact),
}
def save_task3_figure(
file_path: Path,
output_dir: Path,
@@ -85,7 +188,15 @@ def save_task3_figure(
selected_peak_amplitudes: np.ndarray,
fit_amplitudes: np.ndarray,
natural_frequency_hz: float,
damping_ratio: float,
local_damping_ratio: float,
global_peak_indices: np.ndarray,
global_peak_amplitudes: np.ndarray,
global_fit_amplitudes: np.ndarray,
global_damping_ratio: float,
tail_peak_indices: np.ndarray,
tail_peak_amplitudes: np.ndarray,
tail_fit_amplitudes: np.ndarray,
tail_damping_ratio: float,
) -> Path:
output_dir = ensure_parent_dir(output_dir)
peak_times = time_values[selected_peak_indices]
@@ -111,7 +222,18 @@ def save_task3_figure(
axes[2].scatter(peak_times, selected_peak_amplitudes, color="tab:red", s=28, label="Selected envelope peaks")
axes[2].plot(envelope_time, envelope, color="tab:green", linewidth=1.8, label="Fitted positive envelope")
axes[2].plot(envelope_time, -envelope, color="tab:green", linewidth=1.2, linestyle="--", label="Fitted negative envelope")
axes[2].set_title(f"Selected decay segment | damping ratio zeta = {damping_ratio:.5f}")
global_peak_times = time_values[global_peak_indices]
axes[2].scatter(global_peak_times, global_peak_amplitudes, color="tab:purple", s=14, alpha=0.65, label="Global peaks")
axes[2].plot(global_peak_times, global_fit_amplitudes, color="tab:purple", linewidth=1.2, linestyle="-.", label="Global envelope fit")
tail_peak_times = time_values[tail_peak_indices]
axes[2].scatter(tail_peak_times, tail_peak_amplitudes, color="tab:brown", s=14, alpha=0.65, label="Max-peak tail peaks")
axes[2].plot(tail_peak_times, tail_fit_amplitudes, color="tab:brown", linewidth=1.2, linestyle=":", label="Max-peak tail fit")
axes[2].set_title(
"Damping ratio | "
f"local zeta={local_damping_ratio:.5f} | "
f"global zeta={global_damping_ratio:.5f} | "
f"max-tail zeta={tail_damping_ratio:.5f}"
)
axes[2].set_xlabel("Time (s)")
axes[2].set_ylabel("Acceleration")
axes[2].grid(True, alpha=0.25)
@@ -154,11 +276,16 @@ def analyze_free_vibration(
selected_peak_indices = np.asarray(peak_window["peak_indices"], dtype=int)
selected_peak_amplitudes = np.asarray(peak_window["peak_amplitudes"], dtype=np.float64)
fit_amplitudes = np.asarray(peak_window["fit_amplitudes"], dtype=np.float64)
log_decrements = np.log(selected_peak_amplitudes[:-1] / selected_peak_amplitudes[1:])
mean_log_decrement = float(np.mean(log_decrements))
damping_ratio = float(mean_log_decrement / (2.0 * np.pi))
damping_ratio_exact = float(
mean_log_decrement / np.sqrt((2.0 * np.pi) ** 2 + mean_log_decrement**2)
mean_log_decrement, damping_ratio, damping_ratio_exact = log_decrement_metrics(selected_peak_amplitudes)
global_metrics = estimate_global_decay_metrics(
filtered_signal=filtered_signal,
peak_indices=peak_indices,
sampling_rate=sampling_rate,
)
tail_metrics = estimate_tail_from_max_peak_metrics(
filtered_signal=filtered_signal,
peak_indices=peak_indices,
sampling_rate=sampling_rate,
)
figure_path = save_task3_figure(
@@ -172,7 +299,15 @@ def analyze_free_vibration(
selected_peak_amplitudes=selected_peak_amplitudes,
fit_amplitudes=fit_amplitudes,
natural_frequency_hz=natural_frequency_hz,
damping_ratio=damping_ratio,
local_damping_ratio=damping_ratio,
global_peak_indices=np.asarray(global_metrics["peak_indices"], dtype=int),
global_peak_amplitudes=np.asarray(global_metrics["peak_amplitudes"], dtype=np.float64),
global_fit_amplitudes=np.asarray(global_metrics["fit_amplitudes"], dtype=np.float64),
global_damping_ratio=float(global_metrics["damping_ratio"]),
tail_peak_indices=np.asarray(tail_metrics["peak_indices"], dtype=int),
tail_peak_amplitudes=np.asarray(tail_metrics["peak_amplitudes"], dtype=np.float64),
tail_fit_amplitudes=np.asarray(tail_metrics["fit_amplitudes"], dtype=np.float64),
tail_damping_ratio=float(tail_metrics["damping_ratio"]),
)
if show:
plt.show()
@@ -191,6 +326,16 @@ def analyze_free_vibration(
"mean_log_decrement": mean_log_decrement,
"damping_ratio": damping_ratio,
"damping_ratio_exact": damping_ratio_exact,
"global_selected_peak_count": int(len(np.asarray(global_metrics["peak_indices"], dtype=int))),
"global_mean_log_decrement": float(global_metrics["mean_log_decrement"]),
"global_damping_ratio": float(global_metrics["damping_ratio"]),
"global_damping_ratio_exact": float(global_metrics["damping_ratio_exact"]),
"global_envelope_r2": float(global_metrics["r_squared"]),
"max_tail_selected_peak_count": int(len(np.asarray(tail_metrics["peak_indices"], dtype=int))),
"max_tail_mean_log_decrement": float(tail_metrics["mean_log_decrement"]),
"max_tail_damping_ratio": float(tail_metrics["damping_ratio"]),
"max_tail_damping_ratio_exact": float(tail_metrics["damping_ratio_exact"]),
"max_tail_envelope_r2": float(tail_metrics["r_squared"]),
"envelope_r2": float(peak_window["r_squared"]),
"figure_path": str(figure_path),
}
@@ -202,12 +347,22 @@ def print_report(result: dict[str, float | int | str | Path]) -> None:
print(f"Top response sensor: {result['sensor_code']} / {result['axis']}")
print(f"Sampling rate: {result['sampling_rate_hz']:.4f} Hz")
print(f"Natural frequency f_n: {result['natural_frequency_hz']:.6f} Hz")
print(f"Mean log decrement delta: {result['mean_log_decrement']:.6f}")
print(f"Damping ratio zeta (delta / 2pi): {result['damping_ratio']:.6f}")
print(f"Damping ratio exact: {result['damping_ratio_exact']:.6f}")
print(f"Local mean log decrement delta: {result['mean_log_decrement']:.6f}")
print(f"Local damping ratio zeta (delta / 2pi): {result['damping_ratio']:.6f}")
print(f"Local damping ratio exact: {result['damping_ratio_exact']:.6f}")
print(f"Global mean log decrement delta: {result['global_mean_log_decrement']:.6f}")
print(f"Global damping ratio zeta (delta / 2pi): {result['global_damping_ratio']:.6f}")
print(f"Global damping ratio exact: {result['global_damping_ratio_exact']:.6f}")
print(f"Max-tail mean log decrement delta: {result['max_tail_mean_log_decrement']:.6f}")
print(f"Max-tail damping ratio zeta (delta / 2pi): {result['max_tail_damping_ratio']:.6f}")
print(f"Max-tail damping ratio exact: {result['max_tail_damping_ratio_exact']:.6f}")
print(f"Detected peaks: {result['detected_peak_count']}")
print(f"Selected peaks for envelope: {result['selected_peak_count']}")
print(f"Envelope linearity R^2: {result['envelope_r2']:.6f}")
print(f"Selected peaks for local envelope: {result['selected_peak_count']}")
print(f"Selected peaks for global envelope: {result['global_selected_peak_count']}")
print(f"Selected peaks for max-tail envelope: {result['max_tail_selected_peak_count']}")
print(f"Local envelope linearity R^2: {result['envelope_r2']:.6f}")
print(f"Global envelope linearity R^2: {result['global_envelope_r2']:.6f}")
print(f"Max-tail envelope linearity R^2: {result['max_tail_envelope_r2']:.6f}")
print(f"Figure saved to: {result['figure_path']}")