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Accurate evaluation of forecasting models is essential for ensuring reliable predictions. Current practices for evaluating and comparing forecasting models focus on summarising performance into a single score, using metrics such as SMAPE.…

Machine Learning · Statistics 2024-06-25 Vitor Cerqueira , Luis Roque , Carlos Soares

Time series forecasting serves as an essential tool for many real-world applications, supporting tasks such as resource optimization and decision-making. Despite significant architectural advancements, most modern models still treat…

Machine Learning · Computer Science 2026-05-12 Sheng Pan , Ming Jin , Bo Du , Shirui Pan

Delivering precise point and distributional forecasts across a spectrum of prediction horizons represents a significant and enduring challenge in the application of time-series forecasting within various industries. Prior research on…

Machine Learning · Computer Science 2024-10-22 Jiawen Zhang , Xumeng Wen , Zhenwei Zhang , Shun Zheng , Jia Li , Jiang Bian

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

Applications · Statistics 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang

In the era of increasingly complex AI models for time series forecasting, progress is often measured by marginal improvements on benchmark leaderboards. However, this approach suffers from a fundamental flaw: standard evaluation metrics…

Machine Learning · Computer Science 2026-05-28 Wanjin Feng , Yuan Yuan , Jingtao Ding , Yong Li

Today's cyber-world is vastly multivariate. Metrics collected at extreme varieties demand multivariate algorithms to properly detect anomalies. However, forecast-based algorithms, as widely proven approaches, often perform sub-optimally or…

Machine Learning · Computer Science 2022-01-14 Lan Wang , Yusan Lin , Yuhang Wu , Huiyuan Chen , Fei Wang , Hao Yang

Forecasting irregular time series presents significant challenges due to two key issues: the vulnerability of models to mean regression, driven by the noisy and complex nature of the data, and the limitations of traditional error-based…

Machine Learning · Computer Science 2024-12-02 Heejeong Nam , Jihyun Kim , Jimin Yeom

With an ever-increasing share of intermittent renewable energy in the world's energy mix,there is an increasing need for advanced solar power forecasting models to optimize the operation and control of solar power plants. In order to…

Multivariate time series forecasting involves two qualitatively distinct factors: (i) stable within-series autoregressive (AR) dynamics, and (ii) intermittent cross-dimension interactions that can become spurious over long horizons. We…

Machine Learning · Computer Science 2026-02-13 Zhihang Yuan , Zhiyuan Liu , Mahesh K. Marina

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Accurate weather forecasts are important for disaster prevention, agricultural planning, etc. Traditional numerical weather prediction (NWP) methods offer physically interpretable high-accuracy predictions but are computationally expensive…

Machine Learning · Computer Science 2025-10-10 Yuan Gao , Hao Wu , Ruiqi Shu , Huanshuo Dong , Fan Xu , Rui Ray Chen , Yibo Yan , Qingsong Wen , Xuming Hu , Kun Wang , Jiahao Wu , Qing Li , Hui Xiong , Xiaomeng Huang

Multivariate Time Series (MTS) analysis is crucial to understanding and managing complex systems, such as traffic and energy systems, and a variety of approaches to MTS forecasting have been proposed recently. However, we often observe…

Machine Learning · Computer Science 2024-10-18 Zezhi Shao , Fei Wang , Yongjun Xu , Wei Wei , Chengqing Yu , Zhao Zhang , Di Yao , Tao Sun , Guangyin Jin , Xin Cao , Gao Cong , Christian S. Jensen , Xueqi Cheng

In recent years, AI-based weather forecasting models have matched or even outperformed numerical weather prediction systems. However, most of these models have been trained and evaluated on reanalysis datasets like ERA5. These datasets,…

Atmospheric and Oceanic Physics · Physics 2024-09-17 Weixin Jin , Jonathan Weyn , Pengcheng Zhao , Siqi Xiang , Jiang Bian , Zuliang Fang , Haiyu Dong , Hongyu Sun , Kit Thambiratnam , Qi Zhang

Accurate forecasting of multivariate time series data is important in many engineering and scientific applications. Recent state-of-the-art works ignore the inter-relations between variates, using their model on each variate independently.…

Machine Learning · Computer Science 2025-03-18 Liran Nochumsohn , Hedi Zisling , Omri Azencot

Current time-series forecasting models are primarily based on transformer-style neural networks. These models achieve long-term forecasting mainly by scaling up the model size rather than through genuinely autoregressive (AR) rollout. From…

Machine Learning · Computer Science 2026-05-08 Zheng Li , Jerry Cheng , Huanying Gu

How to handle time features shall be the core question of any time series forecasting model. Ironically, it is often ignored or misunderstood by deep-learning based models, even those baselines which are state-of-the-art. This behavior…

Machine Learning · Computer Science 2022-07-25 Li Shen , Yuning Wei , Yangzhu Wang

Standard weather forecast evaluations focus on the forecaster's perspective and on a statistical assessment comparing forecasts and observations. In practice, however, forecasts are used to make decisions, so it seems natural to take the…

Machine Learning · Computer Science 2025-12-18 Kornelius Raeth , Nicole Ludwig

Research on time series forecasting has predominantly focused on developing methods that improve accuracy. However, other criteria such as training time or latency are critical in many real-world applications. We therefore address the…

Machine Learning · Computer Science 2022-02-18 Oliver Borchert , David Salinas , Valentin Flunkert , Tim Januschowski , Stephan Günnemann

The need to forecast solar irradiation at a specific location over short-time horizons has acquired immense importance. In this paper, we report on analyses results involving statistical and machine learning techniques to predict hourly…

Applications · Statistics 2017-08-29 Alireza Inanlougani , T. Agami Reddy , Srinivas Katiamula

A time series represents a set of observations collected over time. Typically, these observations are captured with a uniform sampling frequency (e.g. daily). When data points are observed in uneven time intervals the time series is…

Machine Learning · Computer Science 2022-01-03 Pedro Costa , Vitor Cerqueira , João Vinagre
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