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A robust artificial intelligence informed over complete rational dilation wavelet transform technique coupled with deep learning for long-term rainfall prediction

2025· article· en· W7114782518 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueEngineering Applications of Artificial Intelligence · 2025
Typearticle
Languageen
FieldEnvironmental Science
TopicHydrological Forecasting Using AI
Canadian institutionsUniversity of Prince Edward Island
FundersBureau of Meteorology, Australian GovernmentKing Faisal UniversityDeanship of Scientific Research, King Khalid University
KeywordsDeep learningDilation (metric space)Robustness (evolution)Wavelet transformPattern recognition (psychology)

Abstract

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The intensity of heavy rainfall, driven by climate change, has significant effects worldwide, including flash flood, droughts, water degradation, landslides and crop damages. To ameliorate these impacts, accurate forecasting is crucial to address the dynamic nature of rainfall for sustainable utilization. But the non-linearity inherited within the rainfall significantly influence the model precision. Artificial Intelligence (AI) models have shown promising results in detecting complex rainfall patterns. This paper proposed a hybrid model using overcomplete rational dilation discrete wavelet transform (ORDWT) integrated with autoregressive integrated moving average (ARIMA) and long-short-term memory (LSTM), constructing ORDWT-ARIMA-LSTM to forecast one-month ahead rainfall. The ORDWT provides multi-scale decomposition and better shift-invariance, while ARIMA with LSTM captures complementary dynamics across ORDWT coefficients, lowering errors. Aiming to extract more representative features, the ORDWT coefficients are investigated, and then sent to the ARIMA-LSTM for prediction. The ORDWT–ARIMA–LSTM achieved highest performance for Melbourne Airport: Root Mean Square Error (RMSE) = 2.9, Mean Absolute Error (MAE) = 1.93, RSE = 0.215, Willmott's Index (WI) = 0.990, Nash–Sutcliffe Index (ENI) = 0.970; Melbourne Botanical Gardens: RMSE = 3.84 MAE = 2.65, RSE = 0.287, WI = 0.710, ENI = 0.962; and Preston Reservoir: RMSE = 3.94 MAE = 2.87 RSE = 0.310, WI = 0.973, ENI = 0.971. The ORDWT–ARIMA–LSTM reduced RMSE by 4.5 % and MAE by 5.3 % on average across stations against comparing models. Results confirmed the efficiency of ORDWT–ARIMA–LSTM in rainfall forecasts, providing valuable support in weather, water management, droughts and floods.

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Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.881
Threshold uncertainty score0.934

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.029
GPT teacher head0.262
Teacher spread0.233 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it