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Hierarchical time series are common in several applied fields. The forecasts for these time series are required to be coherent, that is, to satisfy the constraints given by the hierarchy. The most popular technique to enforce coherence is…

机器学习 · 统计学 2023-10-13 Lorenzo Zambon , Dario Azzimonti , Giorgio Corani

Multivariate time series forecasting with hierarchical structure is widely used in real-world applications, e.g., sales predictions for the geographical hierarchy formed by cities, states, and countries. The hierarchical time series (HTS)…

机器学习 · 计算机科学 2023-10-10 Fan Zhou , Chen Pan , Lintao Ma , Yu Liu , Shiyu Wang , James Zhang , Xinxin Zhu , Xuanwei Hu , Yunhua Hu , Yangfei Zheng , Lei Lei , Yun Hu

High-dimensional data must be highly structured to be learnable. Although the compositional and hierarchical nature of data is often put forward to explain learnability, quantitative measurements establishing these properties are scarce.…

机器学习 · 统计学 2025-03-04 Antonio Sclocchi , Alessandro Favero , Noam Itzhak Levi , Matthieu Wyart

A common forecasting setting in real world applications considers a set of possibly heterogeneous time series of the same domain. Due to different properties of each time series such as length, obtaining forecasts for each individual time…

统计方法学 · 统计学 2024-01-31 Lukas Neubauer , Peter Filzmoser

Hierarchical forecasting methods have been widely used to support aligned decision-making by providing coherent forecasts at different aggregation levels. Traditional hierarchical forecasting approaches, such as the bottom-up and top-down…

Accurate forecasting of multivariate time series remains challenging due to the need to capture both short-term fluctuations and long-range temporal dependencies. Transformer-based models have emerged as a powerful approach, but their…

机器学习 · 计算机科学 2026-03-26 Aymane Harkati , Moncef Garouani , Olivier Teste , Julien Aligon , Mohamed Hamlich

This paper introduces a novel approach to stock data analysis by employing a Hierarchical Graph Neural Network (HGNN) model that captures multi-level information and relational structures in the stock market. The HGNN model integrates stock…

机器学习 · 计算机科学 2024-12-11 Jianhua Yao , Yuxin Dong , Jiajing Wang , Bingxing Wang , Hongye Zheng , Honglin Qin

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

统计方法学 · 统计学 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

While the modeling of pair-wise relations has been widely studied in multi-agent interacting systems, its ability to capture higher-level and larger-scale group-wise activities is limited. In this paper, we propose a group-aware relational…

计算机视觉与模式识别 · 计算机科学 2022-08-11 Jiachen Li , Chuanbo Hua , Jinkyoo Park , Hengbo Ma , Victoria Dax , Mykel J. Kochenderfer

Black box variational inference allows researchers to easily prototype and evaluate an array of models. Recent advances allow such algorithms to scale to high dimensions. However, a central question remains: How to specify an expressive…

机器学习 · 统计学 2016-06-01 Rajesh Ranganath , Dustin Tran , David M. Blei

We have proposed to develop a global hybrid deep learning framework to predict the daily prices in the stock market. With representation learning, we derived an embedding called Stock2Vec, which gives us insight for the relationship among…

统计金融 · 定量金融 2020-10-06 Xing Wang , Yijun Wang , Bin Weng , Aleksandr Vinel

The recent abundance of data on electricity consumption at different scales opens new challenges and highlights the need for new techniques to leverage information present at finer scales in order to improve forecasts at wider scales. In…

应用统计 · 统计学 2022-11-23 Anestis Antoniadis , Solenne Gaucher , Yannig Goude

Modeling heterogeneous correlated time series requires the ability to learn hidden dynamic relationships between component time series with possibly varying periodicities and generative processes. To address this challenge, we formulate and…

统计方法学 · 统计学 2025-12-02 Jeshwanth Mohan , Bharath Ramsundar , Sandya Subramanian

Heterogeneous data from multiple populations, sub-groups, or sources is often represented as a ``mixture model'' with a single latent class influencing all of the observed covariates. Heterogeneity can be resolved at multiple levels by…

机器学习 · 计算机科学 2024-12-16 Bijan Mazaheri , Chandler Squires , Caroline Uhler

Time series modeling for predictive purpose has been an active research area of machine learning for many years. However, no sufficiently comprehensive and meanwhile substantive survey was offered so far. This survey strives to meet this…

机器学习 · 计算机科学 2021-09-28 Fatoumata Dama , Christine Sinoquet

Many models such as Long Short Term Memory (LSTMs), Gated Recurrent Units (GRUs) and transformers have been developed to classify time series data with the assumption that events in a sequence are ordered. On the other hand, fewer models…

机器学习 · 计算机科学 2021-02-02 Stephanie Ger , Diego Klabjan , Jean Utke

Time series data is a key element of big data analytics, commonly found in domains such as finance, healthcare, climate forecasting, and transportation. In large scale real world settings, such data is often high dimensional and…

机器学习 · 计算机科学 2025-08-14 Younghwi Kim , Dohee Kim , Joongrock Kim , Sunghyun Sim

Nowadays, with the availability of massive amount of trade data collected, the dynamics of the financial markets pose both a challenge and an opportunity for high frequency traders. In order to take advantage of the rapid, subtle movement…

计算工程、金融与科学 · 计算机科学 2018-07-06 Dat Thanh Tran , Martin Magris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

Effective generalization in robotic manipulation requires representations that capture invariant patterns of interaction across environments and tasks. We present a self-supervised framework for learning hierarchical manipulation concepts…

机器人学 · 计算机科学 2025-11-07 Ruizhe Liu , Pei Zhou , Qian Luo , Li Sun , Jun Cen , Yibing Song , Yanchao Yang

Time series forecasting is widely used in the fields of equipment life cycle forecasting, weather forecasting, traffic flow forecasting, and other fields. Recently, some scholars have tried to apply Transformer to time series forecasting…

机器学习 · 计算机科学 2022-02-24 Benhan Li , Shengdong Du , Tianrui Li
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