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The recent boom of linear forecasting models questions the ongoing passion for architectural modifications of Transformer-based forecasters. These forecasters leverage Transformers to model the global dependencies over temporal tokens of…

Machine Learning · Computer Science 2024-03-15 Yong Liu , Tengge Hu , Haoran Zhang , Haixu Wu , Shiyu Wang , Lintao Ma , Mingsheng Long

Time series forecasting has played a pivotal role across various industries, including finance, transportation, energy, healthcare, and climate. Due to the abundant seasonal information they contain, timestamps possess the potential to…

Machine Learning · Computer Science 2024-11-21 Chengsen Wang , Qi Qi , Jingyu Wang , Haifeng Sun , Zirui Zhuang , Jinming Wu , Jianxin Liao

Within the field of complicated multivariate time series forecasting (TSF), popular techniques frequently rely on intricate deep learning architectures, ranging from transformer-based designs to recurrent neural networks. However, recent…

Machine Learning · Computer Science 2023-12-25 Aiyinsi Zuo , Haixi Zhang , Zirui Li , Ce Zheng

Many real-world applications require the prediction of long sequence time-series, such as electricity consumption planning. Long sequence time-series forecasting (LSTF) demands a high prediction capacity of the model, which is the ability…

Machine Learning · Computer Science 2021-03-30 Haoyi Zhou , Shanghang Zhang , Jieqi Peng , Shuai Zhang , Jianxin Li , Hui Xiong , Wancai Zhang

Forecast reconciliation is a post-forecasting process aimed to improve the quality of the base forecasts for a system of hierarchical/grouped time series (Hyndman et al., 2011). Contemporaneous (cross-sectional) and temporal hierarchies…

Methodology · Statistics 2023-10-30 Tommaso Di Fonzo , Daniele Girolimetto

Financial time series forecasting is central to trading, portfolio optimization, and risk management, yet it remains challenging due to noisy, non-stationary, and heterogeneous data. Recent advances in time series foundation models (TSFMs),…

Computational Finance · Quantitative Finance 2025-11-25 Eghbal Rahimikia , Hao Ni , Weiguan Wang

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

Recent Transformer-based large language models (LLMs) demonstrate in-context learning ability to perform various functions based solely on the provided context, without updating model parameters. To fully utilize the in-context capabilities…

Machine Learning · Computer Science 2026-02-06 Jiecheng Lu , Yan Sun , Shihao Yang

Accurate temporal prediction is the bridge between comprehensive scene understanding and embodied artificial intelligence. However, predicting multiple fine-grained states of a scene at multiple temporal scales is difficult for…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Zhitao Zeng , Guojian Yuan , Junyuan Mao , Yuxuan Wang , Xiaoshuang Jia , Yueming Jin

Accurate household electricity short-term load forecasting (STLF) is key to future and sustainable energy systems. While various studies have analyzed statistical, machine learning, or deep learning approaches for household electricity…

Computational Engineering, Finance, and Science · Computer Science 2026-01-09 Marcel Meyer , David Zapata , Sascha Kaltenpoth , Oliver Müller

Forecasting in the real world requires integrating structured time-series data with unstructured textual information, but existing methods are architecturally limited by fixed input/output horizons and are unable to model or quantify…

Machine Learning · Computer Science 2025-10-27 Sungjun Cho , Changho Shin , Suenggwan Jo , Xinya Yan , Shourjo Aditya Chaudhuri , Frederic Sala

Transformers have demonstrated impressive strength in long-term series forecasting. Existing prediction research mostly focused on mapping past short sub-series (lookback window) to future series (forecast window). The longer training…

Machine Learning · Computer Science 2023-02-22 Julong Young , Junhui Chen , Feihu Huang , Jian Peng

Large Language Models (LLMs) have achieved remarkable success at tasks like summarization that involve a single turn of interaction. However, they can still struggle with multi-turn tasks like dialogue that require long-term planning.…

Machine Learning · Computer Science 2025-04-25 Zhaolin Gao , Wenhao Zhan , Jonathan D. Chang , Gokul Swamy , Kianté Brantley , Jason D. Lee , Wen Sun

Time series often appear in an additive hierarchical structure. In such cases, time series on higher levels are the sums of their subordinate time series. This hierarchical structure places a natural constraint on forecasts. However,…

Methodology · Statistics 2025-03-20 Louis Steinmeister , Markus Pauly

This paper develops an approach for multi-step forecasting of dynamical systems by integrating probabilistic input forecasting with physics-informed output prediction. Accurate multi-step forecasting of time series systems is important for…

Machine Learning · Statistics 2026-01-13 Mahdi Nasiri , Johanna Kortelainen , Simo Särkkä

A novel framework for hierarchical forecast updating is presented, addressing a critical gap in the forecasting literature. By assuming a temporal hierarchy structure, the innovative approach extends hierarchical forecast reconciliation to…

Methodology · Statistics 2024-11-05 Lukas Neubauer , Peter Filzmoser

Finite difference schemes, using Backward Differentiation Formula (BDF), are studied for the approximation of one-dimensional diffusion equations with an obstacle term, of the form $$\min(v_t - a(t,x) v_{xx} + b(t,x) v_x + r(t,x) v, v-…

Numerical Analysis · Mathematics 2021-05-14 Olivier Bokanowski , Kristian Debrabant

AI systems are notorious for their fragility; minor input changes can potentially cause major output swings. When such systems are deployed in critical areas like finance, the consequences of their uncertain behavior could be severe. In…

Machine Learning · Computer Science 2024-06-21 Kausik Lakkaraju , Rachneet Kaur , Zhen Zeng , Parisa Zehtabi , Sunandita Patra , Biplav Srivastava , Marco Valtorta

Very large time series are increasingly available from an ever wider range of IoT-enabled sensors deployed in different environments. Significant insights can be gained by mining temporal patterns from these time series. Unlike traditional…

Databases · Computer Science 2021-11-18 Van Long Ho , Nguyen Ho , Torben Bach Pedersen

We extend the recent latent recurrent modeling to sequential input streams. By interleaving fast, recurrent latent updates with self-organizational ability between slow observation updates, our method facilitates the learning of stable…

Machine Learning · Computer Science 2026-04-23 Shota Takashiro , Masanori Koyama , Takeru Miyato , Yusuke Iwasawa , Yutaka Matsuo , Kohei Hayashi
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