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Real-world data is complex and often consists of objects that can be decomposed into multiple entities (e.g. images into pixels, graphs into interconnected nodes). Randomized smoothing is a powerful framework for making models provably…

Machine Learning · Computer Science 2024-11-12 Yan Scholten , Jan Schuchardt , Aleksandar Bojchevski , Stephan Günnemann

Large collections of time series data are commonly organized into structures with different levels of aggregation; examples include product and geographical groupings. It is often important to ensure that the forecasts are coherent so that…

Over the years, topic models have provided an efficient way of extracting insights from text. However, while many models have been proposed, none are able to model topic temporality and hierarchy jointly. Modelling time provide more precise…

Information Retrieval · Computer Science 2023-01-25 Judicael Poumay , Ashwin Ittoo

We introduce a framework to dynamically combine heterogeneous models called \texttt{DYCHEM}, which forecasts a set of time series that are related through an aggregation hierarchy. Different types of forecasting models can be employed as…

Machine Learning · Computer Science 2023-01-18 Xing Han , Jing Hu , Joydeep Ghosh

Hierarchical forecasting with intermittent time series is a challenge in both research and empirical studies. Extensive research focuses on improving the accuracy of each hierarchy, especially the intermittent time series at bottom levels.…

Machine Learning · Statistics 2022-02-22 Matthias Anderer , Feng Li

Recent progress in neural forecasting accelerated improvements in the performance of large-scale forecasting systems. Yet, long-horizon forecasting remains a very difficult task. Two common challenges afflicting the task are the volatility…

Hierarchical time-series forecasting is essential for demand prediction across various industries. While machine learning models have obtained significant accuracy and scalability on such forecasting tasks, the interpretability of their…

Machine Learning · Computer Science 2026-03-09 Harshavardhan Kamarthi , Shangqing Xu , Xinjie Tong , Xingyu Zhou , James Peters , Joseph Czyzyk , B. Aditya Prakash

Some time series can be hierarchically organized into levels based on certain characteristics, such as geography or other attributes of interest. These series are referred to as hierarchical time series. Typically, forecasts are generated…

This paper discusses the prediction of hierarchical time series, where each upper-level time series is calculated by summing appropriate lower-level time series. Forecasts for such hierarchical time series should be coherent, meaning that…

Machine Learning · Computer Science 2021-01-27 Tomokaze Shiratori , Ken Kobayashi , Yuichi Takano

We encounter time series data in many domains such as finance, physics, business, and weather. One of the main tasks of time series analysis, one that helps to take informed decisions under uncertainty, is forecasting. Time series are often…

Artificial Intelligence · Computer Science 2023-08-29 Gal Elgavish

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

Conventional time-series forecasting methods typically aim to minimize overall prediction error, without accounting for the varying importance of different forecast ranges in downstream applications. We propose a training methodology that…

Machine Learning · Computer Science 2025-08-15 Luca-Andrei Fechete , Mohamed Sana , Fadhel Ayed , Nicola Piovesan , Wenjie Li , Antonio De Domenico , Tareq Si Salem

We propose a novel approach to the problem of clustering hierarchically aggregated time-series data, which has remained an understudied problem though it has several commercial applications. We first group time series at each aggregated…

Machine Learning · Computer Science 2022-05-30 Xing Han , Tongzheng Ren , Jing Hu , Joydeep Ghosh , Nhat Ho

Probabilistic time series forecasting has played critical role in decision-making processes due to its capability to quantify uncertainties. Deep forecasting models, however, could be prone to input perturbations, and the notion of such…

Machine Learning · Computer Science 2022-02-25 TaeHo Yoon , Youngsuk Park , Ernest K. Ryu , Yuyang Wang

The visibility algorithm has been recently introduced as a mapping between time series and complex networks. This procedure allows to apply methods of complex network theory for characterizing time series. In this work we present the…

Data Analysis, Statistics and Probability · Physics 2010-02-25 Bartolo Luque , Lucas Lacasa , Fernando Ballesteros , Jordi Luque

Recent advancements in deep learning models for time series forecasting have been significant. These models often leverage fundamental time series properties such as seasonality and non-stationarity, which may suggest an intrinsic link…

Machine Learning · Computer Science 2025-09-09 Fei Wang , Yujie Li , Zezhi Shao , Chengqing Yu , Yisong Fu , Zhulin An , Yongjun Xu , Xueqi Cheng

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

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

Time series forecasting remains a critical challenge across numerous domains, yet the effectiveness of complex models often varies unpredictably across datasets. Recent studies highlight the surprising competitiveness of simple linear…

Machine Learning · Computer Science 2026-05-14 Zheng Wang , Kaixuan Zhang , Wanfang Chen , Xiaonan Lu , Longyuan Li , Tobias Schlagenhauf

Hierarchical time series forecasting plays a crucial role in decision-making in various domains while presenting significant challenges for modelling as they involve multiple levels of aggregation, constraints, and availability of…

Machine Learning · Computer Science 2024-11-12 Zhao Yingjie , Mahdi Abolghasemi