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Loss functions are at the heart of deep learning, shaping how models learn and perform across diverse tasks. They are used to quantify the difference between predicted outputs and ground truth labels, guiding the optimization process to…

Machine Learning · Computer Science 2025-09-11 Omar Elharrouss , Yasir Mahmood , Yassine Bechqito , Mohamed Adel Serhani , Elarbi Badidi , Jamal Riffi , Hamid Tairi

We introduce a model-agnostic forward diffusion process for time-series forecasting that decomposes signals into spectral components, preserving structured temporal patterns such as seasonality more effectively than standard diffusion.…

Machine Learning · Statistics 2026-02-17 Francisco Caldas , Sahil Kumar , Cláudia Soares

Mid-term electricity load forecasting (LF) plays a critical role in power system planning and operation. To address the issue of error accumulation and transfer during the operation of existing LF models, a novel model called error…

Machine Learning · Computer Science 2023-06-21 Liping Zhang , Di Wu , Xin Luo

Time-series forecasting often faces challenges due to data volatility, which can lead to inaccurate predictions. Variational Mode Decomposition (VMD) has emerged as a promising technique to mitigate volatility by decomposing data into…

Machine Learning · Computer Science 2024-09-05 Hafizh Raihan Kurnia Putra , Novanto Yudistira , Tirana Noor Fatyanosa

Existing hierarchical forecasting techniques scale poorly when the number of time series increases. We propose to learn a coherent forecast for millions of time series with a single bottom-level forecast model by using a sparse loss…

Machine Learning · Computer Science 2024-02-27 Olivier Sprangers , Wander Wadman , Sebastian Schelter , Maarten de Rijke

Long-term time series forecasting (LTSF) is a challenging task that has been investigated in various domains such as finance investment, health care, traffic, and weather forecasting. In recent years, Linear-based LTSF models showed better…

Machine Learning · Computer Science 2023-11-13 Seonkyu Lim , Jaehyeon Park , Seojin Kim , Hyowon Wi , Haksoo Lim , Jinsung Jeon , Jeongwhan Choi , Noseong Park

Data-driven weather forecast based on machine learning (ML) has experienced rapid development and demonstrated superior performance in the global medium-range forecast compared to traditional physics-based dynamical models. However, most of…

Machine Learning · Computer Science 2024-08-19 Wanghan Xu , Kang Chen , Tao Han , Hao Chen , Wanli Ouyang , Lei Bai

Seasonal forecasting remains challenging due to the inherent chaotic nature of atmospheric dynamics. This paper introduces DeepSeasons, a novel deep learning approach designed to enhance the accuracy and reliability of seasonal forecasts.…

Atmospheric and Oceanic Physics · Physics 2025-09-16 A. Navarra , G. G. Navarra

We introduce a Loss Discounting Framework for model and forecast combination which generalises and combines Bayesian model synthesis and generalized Bayes methodologies. We use a loss function to score the performance of different models…

Methodology · Statistics 2024-03-29 Dawid Bernaciak , Jim E. Griffin

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

Machine Learning · Statistics 2024-06-25 Derck W. E. Prinzhorn , Thijmen Nijdam , Putri A. van der Linden , Alexander Timans

In multivariable time series (MTS) forecasting, existing state-of-the-art deep learning approaches tend to focus on autoregressive formulations and often overlook the potential of using exogenous variables in enhancing the prediction of the…

Machine Learning · Computer Science 2025-04-03 Yuxuan Shu , Vasileios Lampos

Time series forecasting is a crucial challenge with significant applications in areas such as weather prediction, stock market analysis, and scientific simulations. This paper introduces an embedded decomposed transformer, 'EDformer', for…

Machine Learning · Computer Science 2024-12-18 Sanjay Chakraborty , Ibrahim Delibasoglu , Fredrik Heintz

Causal machine-learning is about predicting the net-effect (true-lift) of treatments. Given the data of a treatment group and a control group, it is similar to a standard supervised-learning problem. Unfortunately, there is no similarly…

Machine Learning · Computer Science 2020-01-06 I-Sheng Yang

Time-series forecasting models often encounter abrupt changes in a given period of time which generally occur due to unexpected or unknown events. Despite their scarce occurrences in the training set, abrupt changes incur loss that…

Machine Learning · Computer Science 2023-09-25 Junwoo Park , Jungsoo Lee , Youngin Cho , Woncheol Shin , Dongmin Kim , Jaegul Choo , Edward Choi

The decomposition of a time series is an essential task that helps to understand its very nature. It facilitates the analysis and forecasting of complex time series expressing various hidden components such as the trend, seasonal…

Methodology · Statistics 2022-04-25 Grzegorz Dudek

Recent works have revealed an essential paradigm in designing loss functions that differentiate individual losses vs. aggregate losses. The individual loss measures the quality of the model on a sample, while the aggregate loss combines…

Machine Learning · Computer Science 2023-07-17 Shu Hu , Xin Wang , Siwei Lyu

Time series forecasting relies on predicting future values from historical data, yet most state-of-the-art approaches-including transformer and multilayer perceptron-based models-optimize using Mean Squared Error (MSE), which has two…

Machine Learning · Computer Science 2025-12-01 Jieting Wang , Xiaolei Shang , Feijiang Li , Furong Peng

In time series forecasting, effectively disentangling intricate temporal patterns is crucial. While recent works endeavor to combine decomposition techniques with deep learning, multiple frequencies may still be mixed in the decomposed…

Artificial Intelligence · Computer Science 2024-03-27 Xiaobing Yuan , Ling Chen

The empirical mode decomposition (EMD) method and its variants have been extensively employed in the load and renewable forecasting literature. Using this multiresolution decomposition, time series (TS) related to the historical load and…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Nima Safari , George Price , Chi Yung Chung

Several applications in time series forecasting require predicting multiple steps ahead. Despite the vast amount of literature in the topic, both classical and recent deep learning based approaches have mostly focused on minimising…

Machine Learning · Computer Science 2024-07-15 Ignacio Hounie , Javier Porras-Valenzuela , Alejandro Ribeiro