XRDMatch¶
1. Model Training and Evaluation¶
2. Background Introduction¶
XRDMatch is a semi-supervised learning example of XRD data based on PaddleScience, using the FlexMatch algorithm for material classification. This example demonstrates how to use a small amount of labeled data and a large amount of unlabeled data to train a high-performance classification model, which is particularly suitable for XRD spectral analysis in materials science.
X-ray diffraction (XRD) is an important characterization technique in materials science that can provide information on the crystal structure of materials. In practical applications, obtaining a large amount of labeled XRD data is costly and time-consuming, while semi-supervised learning can make full use of a large amount of unlabeled data to improve model performance and reduce annotation costs.
The purpose of this work is to use XRD data of lithium-ion solid electrolyte materials for training to obtain the corresponding structure and performance relationship. Through the FlexMatch algorithm, combined with technologies such as data augmentation, pseudo-label generation, dynamic thresholding, and consistency regularization, efficient semi-supervised learning is achieved.
3. Model Principle¶
The main idea of this method is to establish a non-linear mapping relationship between XRD spectral data and material properties through a convolutional neural network. The model uses the VGG network as a feature extractor, combined with the FlexMatch semi-supervised learning algorithm, which can effectively use a large amount of unlabeled data to improve model performance.
This case uses the VGG network as the basic model architecture, mainly including the following parts:
- Input layer: Receive 1×4501 XRD spectral data
- Convolutional layer: Multi-layer convolutional block to extract local feature patterns
- Pooling layer: Dimensionality reduction and feature aggregation
- Fully connected layer: Feature mapping to classification results
- Output layer: 2-class classification (positive/negative)
Through the FlexMatch algorithm, the model can: - Generate pseudo labels based on weak augmented data - Use strong augmented data for consistency training - Dynamically adjust selection thresholds to balance samples of each category
3.1 Data Format Description¶
The dataset contains material XRD spectral data and corresponding performance labels: - Data Link:
https://paddle-org.bj.bcebos.com/paddlescience/datasets/xrdmatch/lbs.csv
https://paddle-org.bj.bcebos.com/paddlescience/datasets/xrdmatch/ulbs.csv
xrd_data/lbs.csv: Labeled data
- Contains sample name, ID, label and XRD spectral data (4501-dimensional features)
- Label: 0 (positive class), 1 (negative class)
xrd_data/ulbs.csv: Unlabeled data- Contains sample name, ID and XRD spectral data (4501-dimensional features)
- No label information, used for semi-supervised learning
3.2 Data Preprocessing and Augmentation Strategy¶
- Normalization: Normalize XRD intensity values to [0,1] range
- Noise Processing: Remove low-intensity noise (threshold < 0.1)
- Data Augmentation:
- Weak Augmentation: Add small amount of noise (10%) and shift (100 pixels)
- Strong Augmentation: Scaling (15%), elimination (15%), large shift (200 pixels) and noise (20%)
3.3 Custom Dataset Class¶
3.4 FlexMatch Semi-supervised Loss Function¶
- Labeled Data Training: Use cross-entropy loss for supervised learning
- Unlabeled Data Processing:
- Generate weak augmented and strong augmented versions
- Generate pseudo labels based on weak augmented versions
- Use strong augmented versions for consistency training
- Dynamic Threshold: Dynamically adjust selection threshold based on category confidence
examples/xrdmatch/main.py 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
class FlexMatchLoss: def __init__(self, config): self.T = getattr(config, "T", 0.5) self.p_cutoff = getattr(config, "p_cutoff", 0.95) self.hard_label = getattr(config, "hard_label", True) self.thresh_warmup = getattr(config, "thresh_warmup", True) self.lambda_u = getattr(config, "ulb_loss_ratio", 1.0) self.num_classes = getattr(config, "num_classes", 2) self.mask_acc = np.zeros(self.num_classes, dtype=np.float32) self.mask_cnt = np.zeros(self.num_classes, dtype=np.float32) self.criterion = paddle.nn.CrossEntropyLoss() def gen_pseudo_label(self, logits): logits_scaled = logits / self.T logits_max = paddle.max(logits_scaled, axis=-1, keepdim=True) logits_stable = logits_scaled - logits_max probs = paddle.nn.functional.softmax(logits_stable, axis=-1) if self.hard_label: pseudo_label = paddle.argmax(probs, axis=-1) else: pseudo_label = probs max_probs = paddle.max(probs, axis=-1) return pseudo_label, max_probs def get_mask(self, max_probs, pseudo_label): if self.thresh_warmup and self.mask_cnt.sum() > 0: class_acc = self.mask_acc / (self.mask_cnt + 1e-8) class_idx = pseudo_label.astype("int64") adaptive_threshold = self.p_cutoff * ( class_acc[class_idx] / (2.0 - class_acc[class_idx]) ) mask = (max_probs >= adaptive_threshold).astype("float32") else: mask = (max_probs >= self.p_cutoff).astype("float32") if self.thresh_warmup: for c in range(self.num_classes): class_mask = (pseudo_label == c).astype("float32") self.mask_acc[c] += float((mask * class_mask).sum().numpy()) self.mask_cnt[c] += float(class_mask.sum().numpy()) return mask def __call__(self, model_output, batch): if "x_lb" in batch and "y_lb" in batch: logits_lb = model_output["logits"] loss_lb = self.criterion(logits_lb, batch["y_lb"]) else: loss_lb = paddle.to_tensor(0.0) if "x_ulb_w" in batch and "x_ulb_s" in batch: with paddle.no_grad(): logits_ulb_w = ( model_output["logits_ulb_w"] if "logits_ulb_w" in model_output else model_output["logits"] ) pseudo_label, max_probs = self.gen_pseudo_label(logits_ulb_w) mask = self.get_mask( max_probs, pseudo_label if self.hard_label else paddle.argmax(pseudo_label, axis=-1), ) logits_ulb_s = ( model_output["logits_ulb_s"] if "logits_ulb_s" in model_output else model_output["logits"] ) if self.hard_label: loss_ulb = paddle.nn.functional.cross_entropy( logits_ulb_s, pseudo_label, reduction="none" ) else: loss_ulb = paddle.nn.functional.kl_div( paddle.nn.functional.log_softmax(logits_ulb_s, axis=-1), pseudo_label, reduction="none", ).sum(axis=-1) loss_ulb = ( (loss_ulb * mask).mean() if mask.sum() > 0 else paddle.to_tensor(0.0) ) else: loss_ulb = paddle.to_tensor(0.0) total_loss = loss_lb + self.lambda_u * loss_ulb return {"loss": total_loss, "loss_lb": loss_lb, "loss_ulb": loss_ulb}
3.5 Loss Function¶
Where:
- loss_lb: Cross-entropy loss of labeled data
- loss_ulb: Consistency loss of unlabeled data
- lambda_u: Unlabeled loss weight (default 1.0)
3.6 Training Configuration¶
- Optimizer: AdamW (lr=3e-4, weight_decay=0.01)
- Batch Size: Labeled 32, Unlabeled 96
- Number of Experiments: 100 independent experiments
- Training Epochs: 100 epochs per experiment (10 iterations per epoch)
- Data Split: First 20 positive classes, first 75 negative classes used for training
- Model Saving: Save model only when F1 score ≥ 0.7
3.7 Evaluation Metrics¶
- Accuracy: Proportion of correctly classified samples
- Precision: Proportion of actually positive samples among those predicted as positive
- Recall: Proportion of correctly predicted samples among actual positive samples
- F1-Score: Harmonic mean of precision and recall
- Confusion Matrix: Detailed distribution of prediction results for each category
- Evaluation Method: Supports two modes: evaluation during training and independent evaluation
- Evaluation during training: Automatically called during training, logs saved to saved_models_ppsci/exp_*/log.txt file for each experiment
- Independent evaluation: Use
--mode evalparameter to evaluate saved models, results saved to eval_log.txt file - Model saving strategy: Save model only when F1 score ≥ 0.7
- Built-in evaluation implementation: This function will be automatically called during training, and logs will be saved to saved_models_ppsci/exp_*/log.txt file for each experiment. Code implementation:
4. Result Example¶
Training Log Example¶
Epoch: 0
[2025-8-27 02:40:12,747 INFO] confusion matrix
[2025-8-27 02:40:12,748 INFO] [[0.22222222 0.77777778]
[0.2 0.8 ]]
[2025-8-27 02:40:12,748 INFO] evaluation metric
[2025-8-27 02:40:12,748 INFO] acc: 0.7188
[2025-8-27 02:40:12,748 INFO] precision: 0.5083
[2025-8-27 02:40:12,750 INFO] recall: 0.5111
[2025-8-27 02:40:12,750 INFO] f1: 0.5060
F1 score 0.5060 < 0.7, model not saved at epoch 0
Performance Metrics¶
Typical performance on standard test set:
| Metric | Value |
|---|---|
| Accuracy | 0.797 |
| Precision | 0.673 |
| Recall | 0.789 |
| F1 Score | 0.695 |
Evaluation Log Example¶
Evaluating experiment 0 epoch 11 model...
Starting prediction...
confusion matrix
[[0.77777778 0.22222222]
[0.16363636 0.83636364]]
evaluation metric
acc: 0.6480
precision: 0.6480
recall: 0.6480
f1: 0.6480
5. Complete Code¶
| examples/xrdmatch/main.py | |
|---|---|
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References¶
Zheng Wan., et al. "XRDMatch: a semi-supervised learning framework to efficiently discover room temperature lithium superionic conductors." Energy Environ. Sci., 2024, 17, 9487. (https://pubs.rsc.org/en/content/articlelanding/2024/ee/d4ee02970d)