|
| 1 | +from typing import Optional, Union |
| 2 | + |
| 3 | +from numpy.typing import ArrayLike |
| 4 | +import numpy as np |
| 5 | + |
| 6 | +from sklearn.decomposition import PCA |
| 7 | +from sklearn.pipeline import Pipeline |
| 8 | + |
| 9 | +from chemotools.outliers import QResiduals, HotellingT2 |
| 10 | + |
| 11 | +import matplotlib.pyplot as plt |
| 12 | +from matplotlib.patches import Ellipse |
| 13 | +import matplotlib.transforms as transforms |
| 14 | + |
| 15 | +from reporter.plot.plot_spectra import plot_spectra |
| 16 | +from reporter._utils import ( |
| 17 | + extract_and_validate_model, |
| 18 | + get_cut_wavenumbers_from_pipeline, |
| 19 | +) |
| 20 | + |
| 21 | + |
| 22 | +class PCAReport: |
| 23 | + def __init__( |
| 24 | + self, |
| 25 | + model: Union[Pipeline, PCA], |
| 26 | + X_train: ArrayLike, |
| 27 | + y_train: ArrayLike, |
| 28 | + X_test: Optional[ArrayLike] = None, |
| 29 | + y_test: Optional[ArrayLike] = None, |
| 30 | + wavenumbers: Optional[ArrayLike] = None, |
| 31 | + ): |
| 32 | + self.model = model |
| 33 | + self.X_train = X_train |
| 34 | + self.y_train = y_train |
| 35 | + self.X_test = X_test |
| 36 | + self.y_test = y_test |
| 37 | + self.wavenumbers = wavenumbers |
| 38 | + self.transformer, self.estimator = extract_and_validate_model( |
| 39 | + model, model_type="pca" |
| 40 | + ) |
| 41 | + self.cut_wavenumbers = get_cut_wavenumbers_from_pipeline(self.transformer) |
| 42 | + |
| 43 | + def plot_data( |
| 44 | + self, |
| 45 | + color_by: Optional[ArrayLike] = None, |
| 46 | + title: str = "Spectra", |
| 47 | + x_label: str = "Wavenumber", |
| 48 | + y_label: str = "Intensity", |
| 49 | + ): |
| 50 | + """ |
| 51 | + Plot spectra with optional color coding. |
| 52 | +
|
| 53 | + Parameters |
| 54 | + ---------- |
| 55 | + color_by : Optional[ArrayLike] |
| 56 | + Optional array for color coding the points. |
| 57 | + """ |
| 58 | + |
| 59 | + if self.wavenumbers is None: |
| 60 | + raise ValueError("Wavenumbers are not provided.") |
| 61 | + |
| 62 | + if color_by is None: |
| 63 | + color_by = self.y_train |
| 64 | + |
| 65 | + plot_spectra( |
| 66 | + x=self.wavenumbers, |
| 67 | + y=self.X_train, |
| 68 | + color_by=color_by, |
| 69 | + title=title, |
| 70 | + x_label=x_label, |
| 71 | + y_label=y_label, |
| 72 | + ) |
| 73 | + |
| 74 | + def plot_preprocessed_data( |
| 75 | + self, |
| 76 | + color_by: Optional[ArrayLike] = None, |
| 77 | + title: str = "Spectra", |
| 78 | + x_label: str = "Wavenumber", |
| 79 | + y_label: str = "Intensity", |
| 80 | + ): |
| 81 | + """ |
| 82 | + Plot preprocessed spectra with optional color coding. |
| 83 | +
|
| 84 | + Parameters |
| 85 | + ---------- |
| 86 | + color_by : Optional[ArrayLike] |
| 87 | + Optional array for color coding the points. |
| 88 | + """ |
| 89 | + |
| 90 | + if self.wavenumbers is None: |
| 91 | + raise ValueError("Wavenumbers are not provided.") |
| 92 | + |
| 93 | + if self.cut_wavenumbers is not None: |
| 94 | + wavenumbers = self.cut_wavenumbers |
| 95 | + else: |
| 96 | + wavenumbers = self.wavenumbers |
| 97 | + |
| 98 | + if color_by is None: |
| 99 | + color_by = self.y_train |
| 100 | + |
| 101 | + plot_spectra( |
| 102 | + x=wavenumbers, |
| 103 | + y=self.transformer.transform(self.X_train), |
| 104 | + color_by=color_by, |
| 105 | + title=title, |
| 106 | + x_label=x_label, |
| 107 | + y_label=y_label, |
| 108 | + ) |
| 109 | + |
| 110 | + def _get_ellipse(self, x, y, ax, n_std: int = 3, edgecolor: str = "red"): |
| 111 | + cov = np.cov(x, y) |
| 112 | + if cov.shape != (2, 2) or np.any(np.isnan(cov)): |
| 113 | + return # skip invalid data |
| 114 | + pearson = cov[0, 1] / np.sqrt(cov[0, 0] * cov[1, 1]) |
| 115 | + ell_radius_x = np.sqrt(1 + pearson) |
| 116 | + ell_radius_y = np.sqrt(1 - pearson) |
| 117 | + ellipse = Ellipse( |
| 118 | + (0, 0), |
| 119 | + width=ell_radius_x * 2, |
| 120 | + height=ell_radius_y * 2, |
| 121 | + edgecolor=edgecolor, |
| 122 | + facecolor="none", |
| 123 | + linewidth=2, |
| 124 | + alpha=0.5, |
| 125 | + ) |
| 126 | + scale_x = np.std(x) * n_std |
| 127 | + scale_y = np.std(y) * n_std |
| 128 | + mean_x = np.mean(x) |
| 129 | + mean_y = np.mean(y) |
| 130 | + transf = ( |
| 131 | + transforms.Affine2D() |
| 132 | + .rotate_deg(0) |
| 133 | + .scale(scale_x, scale_y) |
| 134 | + .translate(mean_x, mean_y) |
| 135 | + ) |
| 136 | + ellipse.set_transform(transf + ax.transData) |
| 137 | + ax.add_patch(ellipse) |
| 138 | + |
| 139 | + def plot_scores( |
| 140 | + self, color_by=None, title="PCA Scores", x_axis=1, y_axis=2, n_std=3 |
| 141 | + ): |
| 142 | + X_train_pca = self.model.transform(self.X_train) |
| 143 | + |
| 144 | + if color_by is None: |
| 145 | + color_by = self.y_train |
| 146 | + |
| 147 | + fig, ax = plt.subplots(figsize=(5, 4)) |
| 148 | + |
| 149 | + # Plot training data |
| 150 | + scatter = ax.scatter( |
| 151 | + X_train_pca[:, x_axis - 1], |
| 152 | + X_train_pca[:, y_axis - 1], |
| 153 | + c=color_by, |
| 154 | + cmap="turbo", |
| 155 | + edgecolor="k", |
| 156 | + s=50, |
| 157 | + label="Train", |
| 158 | + ) |
| 159 | + |
| 160 | + # Add overall ellipse for training data |
| 161 | + self._get_ellipse( |
| 162 | + X_train_pca[:, x_axis - 1], |
| 163 | + X_train_pca[:, y_axis - 1], |
| 164 | + ax, |
| 165 | + n_std=n_std, |
| 166 | + edgecolor="red", |
| 167 | + ) |
| 168 | + |
| 169 | + if self.X_test is None: |
| 170 | + pass |
| 171 | + else: |
| 172 | + X_test_pca = self.model.transform(self.X_test) |
| 173 | + # Plot test data |
| 174 | + ax.scatter( |
| 175 | + X_test_pca[:, x_axis - 1], |
| 176 | + X_test_pca[:, y_axis - 1], |
| 177 | + c="blue", |
| 178 | + edgecolor="k", |
| 179 | + s=50, |
| 180 | + marker="s", |
| 181 | + label="Test", |
| 182 | + ) |
| 183 | + |
| 184 | + # Add overall ellipse for test data |
| 185 | + self._get_ellipse( |
| 186 | + X_test_pca[:, x_axis - 1], |
| 187 | + X_test_pca[:, y_axis - 1], |
| 188 | + ax, |
| 189 | + edgecolor="blue", |
| 190 | + ) |
| 191 | + |
| 192 | + ax.set_title(title) |
| 193 | + ax.set_xlabel(f"PC{x_axis}") |
| 194 | + ax.set_ylabel(f"PC{y_axis}") |
| 195 | + plt.colorbar(scatter, ax=ax, label="Color by (train)") |
| 196 | + ax.legend() |
| 197 | + ax.grid() |
| 198 | + plt.tight_layout() |
| 199 | + plt.show() |
| 200 | + return self |
| 201 | + |
| 202 | + def plot_loadings(self, title="PCA Loadings"): |
| 203 | + loadings = self.estimator.components_.T |
| 204 | + |
| 205 | + if self.cut_wavenumbers is not None: |
| 206 | + wavenumbers = self.cut_wavenumbers |
| 207 | + else: |
| 208 | + wavenumbers = self.wavenumbers |
| 209 | + |
| 210 | + fig, ax = plt.subplots(figsize=(10, 4)) |
| 211 | + ax.plot(wavenumbers, loadings) |
| 212 | + ax.set_title(title) |
| 213 | + ax.set_xlabel("Features") |
| 214 | + ax.set_ylabel("Loadings") |
| 215 | + ax.legend([f"PC{i + 1}" for i in range(loadings.shape[1])]) |
| 216 | + ax.grid() |
| 217 | + plt.tight_layout() |
| 218 | + plt.show() |
| 219 | + return self |
| 220 | + |
| 221 | + def plot_scree(self, title="Cumulative Explained Variance"): |
| 222 | + explained_variance = self.estimator.explained_variance_ratio_ |
| 223 | + cumulative_variance = np.cumsum(explained_variance) |
| 224 | + |
| 225 | + fig, ax = plt.subplots(figsize=(10, 4)) |
| 226 | + ax.plot( |
| 227 | + range(1, len(explained_variance) + 1), |
| 228 | + explained_variance, |
| 229 | + marker="o", |
| 230 | + color="blue", |
| 231 | + ) |
| 232 | + ax.bar( |
| 233 | + range(1, len(cumulative_variance) + 1), |
| 234 | + cumulative_variance, |
| 235 | + alpha=0.5, |
| 236 | + color="orange", |
| 237 | + ) |
| 238 | + ax.set_title(title) |
| 239 | + ax.set_xlabel("Principal Component") |
| 240 | + ax.set_ylabel("Cumulative Explained Variance Ratio") |
| 241 | + ax.grid() |
| 242 | + plt.tight_layout() |
| 243 | + plt.show() |
| 244 | + return self |
| 245 | + |
| 246 | + def plot_residuals( |
| 247 | + self, |
| 248 | + color_by=None, |
| 249 | + label_by=None, |
| 250 | + title="Residuals", |
| 251 | + ): |
| 252 | + q_residuals = QResiduals(self.model) |
| 253 | + h_residuals = HotellingT2(self.model) |
| 254 | + |
| 255 | + q_train = q_residuals.fit_predict_residuals(self.X_train) |
| 256 | + h_train = h_residuals.fit_predict_residuals(self.X_train, y=None) |
| 257 | + |
| 258 | + if color_by is None: |
| 259 | + color_by = self.y_train |
| 260 | + |
| 261 | + fig, ax = plt.subplots(figsize=(5, 4)) |
| 262 | + # Plot training data |
| 263 | + scatter = ax.scatter( |
| 264 | + h_train, |
| 265 | + q_train, |
| 266 | + c=color_by, |
| 267 | + cmap="turbo", |
| 268 | + edgecolor="k", |
| 269 | + s=50, |
| 270 | + label="Train", |
| 271 | + ) |
| 272 | + |
| 273 | + # Plot test data |
| 274 | + if self.X_test is None: |
| 275 | + pass |
| 276 | + else: |
| 277 | + q_test = q_residuals.predict_residuals(self.X_test) |
| 278 | + h_test = h_residuals.predict_residuals(self.X_test, y=None) |
| 279 | + |
| 280 | + ax.scatter( |
| 281 | + h_test, |
| 282 | + q_test, |
| 283 | + c="blue", |
| 284 | + edgecolor="k", |
| 285 | + s=50, |
| 286 | + marker="s", |
| 287 | + label="Test", |
| 288 | + ) |
| 289 | + |
| 290 | + ax.axhline( |
| 291 | + q_residuals.critical_value_, |
| 292 | + color="red", |
| 293 | + linestyle="--", |
| 294 | + label="Q Residuals Threshold", |
| 295 | + ) |
| 296 | + ax.axvline( |
| 297 | + h_residuals.critical_value_, |
| 298 | + color="red", |
| 299 | + linestyle="--", |
| 300 | + label="Hotelling T2 Threshold", |
| 301 | + ) |
| 302 | + |
| 303 | + # Add sample labels |
| 304 | + if label_by is None: |
| 305 | + pass |
| 306 | + else: |
| 307 | + for i, txt in enumerate(label_by): |
| 308 | + ax.annotate( |
| 309 | + txt, |
| 310 | + (h_train[i], q_train[i]), |
| 311 | + textcoords="offset points", |
| 312 | + xytext=(0, 5), |
| 313 | + ha="center", |
| 314 | + ) |
| 315 | + |
| 316 | + ax.set_title(title) |
| 317 | + ax.set_xlabel("Hotelling T2") |
| 318 | + ax.set_ylabel("Q Residuals") |
| 319 | + plt.colorbar(scatter, ax=ax, label="Color by (train)") |
| 320 | + ax.grid() |
| 321 | + plt.tight_layout() |
| 322 | + plt.show() |
| 323 | + return self |
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