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While deep learning has achieved impressive performance in time series forecasting, it becomes increasingly crucial to understand its decision-making process for building trust in high-stakes scenarios. Existing interpretable models often…

机器学习 · 计算机科学 2026-03-02 Ziheng Peng , Shijie Ren , Xinyue Gu , Linxiao Yang , Xiting Wang , Liang Sun

Hierarchical forecasting with reconciliation requires forecasting values of a hierarchy (e.g.~customer demand in a state and district), such that forecast values are linked (e.g.~ district forecasts should add up to the state forecast).…

机器学习 · 计算机科学 2025-05-09 Charupriya Sharma , Iñaki Estella Aguerri , Daniel Guimarans

A common theme in stochastic optimization problems is that, theoretically, stochastic algorithms need to "know" relatively rich information about the underlying distributions. This is at odds with most applications, where distributions are…

数据结构与算法 · 计算机科学 2025-04-16 Benjamin Moseley , Heather Newman , Kirk Pruhs , Rudy Zhou

We develop a new method for generating prediction sets that combines the flexibility of conformal methods with an estimate of the conditional distribution $P_{Y \mid X}$. Existing methods, such as conformalized quantile regression and…

机器学习 · 统计学 2024-10-10 Vincent Plassier , Alexander Fishkov , Mohsen Guizani , Maxim Panov , Eric Moulines

Multivariate time series forecasting with hierarchical structure is pervasive in real-world applications, demanding not only predicting each level of the hierarchy, but also reconciling all forecasts to ensure coherency, i.e., the forecasts…

机器学习 · 计算机科学 2025-03-04 Shiyu Wang , Fan Zhou , Yinbo Sun , Lintao Ma , James Zhang , Yangfei Zheng

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…

统计方法学 · 统计学 2024-11-05 Lukas Neubauer , Peter Filzmoser

In the current work we introduce a novel estimation of distribution algorithm to tackle a hard combinatorial optimization problem, namely the single-machine scheduling problem, with uncertain delivery times. The majority of the existing…

数据结构与算法 · 计算机科学 2013-12-05 Boris Mitavskiy , Jun He

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…

人工智能 · 计算机科学 2023-08-29 Gal Elgavish

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…

机器学习 · 计算机科学 2026-05-08 Zheng Li , Jerry Cheng , Huanying Gu

In this paper, we propose a stochastic Primal-Dual Hybrid Gradient (PDHG) approach for solving a wide spectrum of regularized stochastic minimization problems, where the regularization term is composite with a linear function. It has been…

机器学习 · 计算机科学 2018-02-02 Linbo Qiao , Tianyi Lin , Qi Qin , Xicheng Lu

Probabilistic forecasting models for joint distributions of targets in irregular time series with missing values are a heavily under-researched area in machine learning, with, to the best of our knowledge, only two Models have been…

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

机器学习 · 计算机科学 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

机器学习 · 统计学 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

In this paper, we tackle the important yet under-investigated problem of making long-horizon prediction of event sequences. Existing state-of-the-art models do not perform well at this task due to their autoregressive structure. We propose…

机器学习 · 计算机科学 2022-10-05 Siqiao Xue , Xiaoming Shi , James Y Zhang , Hongyuan Mei

Calibration ensures that probabilistic forecasts meaningfully capture uncertainty by requiring that predicted probabilities align with empirical frequencies. However, many existing calibration methods are specialized for post-hoc…

机器学习 · 计算机科学 2023-11-01 Charles Marx , Sofian Zalouk , Stefano Ermon

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,…

统计方法学 · 统计学 2025-03-20 Louis Steinmeister , Markus Pauly

In recent years, neural networks have revolutionized various domains, yet challenges such as hyperparameter tuning and overfitting remain significant hurdles. Bayesian neural networks offer a framework to address these challenges by…

机器学习 · 计算机科学 2025-12-16 Hayk Amirkhanian , Marco F. Huber

Forecast reconciliation is a post-forecasting process that involves transforming a set of incoherent forecasts into coherent forecasts which satisfy a given set of linear constraints for a multivariate time series. In this paper we extend…

统计方法学 · 统计学 2023-12-25 Daniele Girolimetto , George Athanasopoulos , Tommaso Di Fonzo , Rob J Hyndman

In this paper, we consider a static, multi-period newsvendor model under a budget constraint. In the case where the true demand distribution is known, we develop a heuristic algorithm to solve the problem. By comparing this algorithm with…

最优化与控制 · 数学 2023-12-04 Ben Black , Trivikram Dokka , Christopher Kirkbride

In hierarchical forecasting, the process of forecast reconciliation transforms a set of "base" or "raw" forecasts, which do not satisfy the hierarchical aggregation constraints in the real data, into a set of "coherent" forecasts, which do…

统计方法学 · 统计学 2026-05-29 Minh Nguyen , Farshid Vahid , Shanika L Wickramasuriya