26d388235d99826a6c2a5108ecb7d6f4 mathematics-13-03828-v2.pdf aec89594a3454fda9b71c900d9312ddfb3b022f5 mathematics-13-03828-v2.pdf 58bfa4f3bcd1442c4be71db0a884f4f8f75439d4e78ad3287f38f82615b2d6e9 mathematics-13-03828-v2.pdf Title: Improving Individual and Regional Rainfall–Runoff Modeling in North American Watersheds Through Feature Selection and Hyperparameter Optimization Subject: Precise rainfall-runoff modeling (RRM) is vital for disaster management, resource conservation, and mitigation. Recent deep learning-based methods, such as long short-term memory (LSTM) networks, often struggle with major challenges, including temporal sensitivity, feature selection, generalizability, and hyperparameter tuning. The objective of this study is to develop an accurate and generalizable rainfall–runoff modeling framework that addresses the four aforementioned challenges. We propose a novel RRM framework that integrates transductive LSTM (TLSTM) to capture fine-grained temporal changes, off-policy proximal policy optimization (PPO) combined with Shapley Additive exPlanations (SHAP)-based reward functions for feature selection, an enhanced generative adversarial network (GAN) for online data augmentation, and Bayesian optimization hyperband (BOHB) for efficient hyperparameter tuning. TLSTM uses transductive learning, where samples near the test point are given extra weight, to capture fine-grained temporal shifts. Off-policy PPO contributes to this process by selecting features sensitive to temporal patterns in RRM. Our improved GAN conducts online data augmentation by excluding some gradients, increasing diversity and relevance in synthetic data. Finally, BOHB accelerates hyperparameter tuning by merging Bayesian optimization with the scaling efficiency of Hyperband. We evaluate our model using the Comprehensive Attributes and Meteorology for Large-Sample Studies (CAMELS) dataset under individual and regional scenarios. It achieves Nash–Sutcliffe efficiency (NSE) scores of 0.588 and 0.873, surpassing the baseline scores of 0.548 and 0.830, respectively. The generalizability of our approach was assessed on the hydro-climatic datasets for North America (HYSETS), also yielding improved performance. These improvements indicate more accurate capture of flow dynamics and peak events, supporting a robust and interpretable framework for RRM. Keywords: climate change; data augmentation; feature selection; hyperparameter optimization; rainfall-runoff modeling; water resource management Author: Bahareh Ghanati and Joan Serra-Sagristà Creator: LaTeX with hyperref Producer: xdvipdfmx (20220710); modified using OpenPDF 1.4.2 CreationDate: Tue Dec 2 11:24:56 2025 CET ModDate: Tue Dec 2 11:39:06 2025 CET Custom Metadata: yes Metadata Stream: no Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 34 Encrypted: no Page size: 595.28 x 841.89 pts (A4) Page rot: 0 File size: 5529011 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- HSJQTE+VNR8 Type 1C Builtin yes yes yes 57 0 KBTTBD+PalatinoLinotype-Roman CID TrueType Identity-H yes yes yes 17 0 RMRLEE+PalatinoLinotype-Bold CID TrueType Identity-H yes yes yes 22 0 KFVUHR+VNR7 Type 1C Builtin yes yes yes 27 0 ARHOOW+PalatinoLinotype-Italic CID TrueType Identity-H yes yes yes 31 0 KNWZKS+CMSY10 Type 1C Builtin yes yes yes 107 0 ZIUEBV+URWPalladioL-Roma Type 1C WinAnsi yes yes yes 141 0 RPDAFR+PazoMath Type 1C Builtin yes yes yes 144 0 JZZDUD+CMR10 Type 1C Builtin yes yes yes 137 0 ZEAUVK+CMEX10 Type 1C Builtin yes yes no 148 0 EWNFIF+URWPalladioL-Ital Type 1C WinAnsi yes yes yes 133 0 CIDFont+F2 CID TrueType Identity-H yes no yes 156 0 CIDFont+F6 CID TrueType Identity-H yes no yes 164 0 UTZEAX+PazoMath-Italic Type 1C Builtin yes yes yes 188 0 VKSUIY+SimSun CID TrueType Identity-H yes yes yes 192 0 GYOYRF+MSBM10 Type 1C Builtin yes yes yes 200 0 ZDZZNG+EURM10 Type 1C Builtin yes yes yes 204 0 CIDFont+F2 CID TrueType Identity-H yes no yes 221 0 CIDFont+F2 CID TrueType Identity-H yes no yes 238 0 CIDFont+F1 CID TrueType Identity-H yes no yes 446 0 CIDFont+F2 CID TrueType Identity-H yes no yes 454 0 CIDFont+F1 CID TrueType Identity-H yes no yes 427 0 CIDFont+F2 CID TrueType Identity-H yes no yes 435 0 CIDFont+F3 CID TrueType Identity-H yes no yes 469 0 CIDFont+F2 CID TrueType Identity-H yes no yes 477 0 CIDFont+F1 CID TrueType Identity-H yes no yes 514 0 CIDFont+F2 CID TrueType Identity-H yes no yes 522 0 CIDFont+F7 CID TrueType Identity-H yes no yes 530 0 CIDFont+F6 CID TrueType Identity-H yes no yes 538 0 CIDFont+F2 CID TrueType Identity-H yes no yes 589 0 CIDFont+F7 CID TrueType Identity-H yes no yes 597 0 CIDFont+F1 CID TrueType Identity-H yes no yes 554 0 CIDFont+F2 CID TrueType Identity-H yes no yes 562 0 CIDFont+F7 CID TrueType Identity-H yes no yes 570 0 CIDFont+F6 CID TrueType Identity-H yes no yes 578 0 CIDFont+F1 CID TrueType Identity-H yes no yes 637 0 CIDFont+F2 CID TrueType Identity-H yes no yes 645 0 CIDFont+F7 CID TrueType Identity-H yes no yes 653 0 CIDFont+F2 CID TrueType Identity-H yes no yes 619 0 CIDFont+F7 CID TrueType Identity-H yes no yes 627 0 CIDFont+F2 CID TrueType Identity-H yes no yes 675 0 ALCGYC+VNR9 Type 1C Builtin yes yes yes 742 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2026-01-17 03:15:40 CET RepresentationInformation: mathematics-13-03828-v2.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2026-01-16 11:14:26 CET Size: 5529011 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 1097 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: true CenterWindow: false DisplayDocTitle: false NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Item: Title: Materials and Methods Children: Item: Title: Study Area and Dataset Item: Title: Evaluation Metrics Item: Title: Model Overview Children: Item: Title: Online Data Augmentation Item: Title: Feature Engineering and Prediction Item: Title: Hyperparameter Optimization Item: Title: Results and Discussion Children: Item: Title: Ablation Studies Item: Title: Analysis of Generalizability Item: Title: Analysis of the Off-Policy PPO Algorithm Item: Title: Analysis of the Proposed GAN Item: Title: Analysis of BOHB Item: Title: Discussion Item: Title: Conclusions Item: Title: References Info: Title: Improving Individual and Regional Rainfall–Runoff Modeling in North American Watersheds Through Feature Selection and Hyperparameter Optimization Author: Bahareh Ghanati and Joan Serra-Sagristà Subject: Precise rainfall-runoff modeling (RRM) is vital for disaster management, resource conservation, and mitigation. Recent deep learning-based methods, such as long short-term memory (LSTM) networks, often struggle with major challenges, including temporal sensitivity, feature selection, generalizability, and hyperparameter tuning. The objective of this study is to develop an accurate and generalizable rainfall–runoff modeling framework that addresses the four aforementioned challenges. We propose a novel RRM framework that integrates transductive LSTM (TLSTM) to capture fine-grained temporal changes, off-policy proximal policy optimization (PPO) combined with Shapley Additive exPlanations (SHAP)-based reward functions for feature selection, an enhanced generative adversarial network (GAN) for online data augmentation, and Bayesian optimization hyperband (BOHB) for efficient hyperparameter tuning. TLSTM uses transductive learning, where samples near the test point are given extra weight, to capture fine-grained temporal shifts. Off-policy PPO contributes to this process by selecting features sensitive to temporal patterns in RRM. Our improved GAN conducts online data augmentation by excluding some gradients, increasing diversity and relevance in synthetic data. Finally, BOHB accelerates hyperparameter tuning by merging Bayesian optimization with the scaling efficiency of Hyperband. We evaluate our model using the Comprehensive Attributes and Meteorology for Large-Sample Studies (CAMELS) dataset under individual and regional scenarios. It achieves Nash–Sutcliffe efficiency (NSE) scores of 0.588 and 0.873, surpassing the baseline scores of 0.548 and 0.830, respectively. The generalizability of our approach was assessed on the hydro-climatic datasets for North America (HYSETS), also yielding improved performance. These improvements indicate more accurate capture of flow dynamics and peak events, supporting a robust and interpretable framework for RRM. 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