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We introduce a new strategy for coupling the parallel in time (parareal) iterative methodology with multiscale integrators. Following the parareal framework, the algorithm computes a low-cost approximation of all slow variables in the…

数值分析 · 数学 2015-11-19 Gil Ariel , Seong Jun Kim , Richard Tsai

Recent progress in time-series forecasting has led to rapidly increasing architectural complexity, yet many reported State-of-the-Art gains are statistically fragile or misattributed. We argue that progress requires a shift from model…

Spatio-temporal forecasting is crucial in transportation, logistics, and supply chain management. However, current methods struggle with large, complex datasets. We propose a dynamic, multi-modal approach that integrates the strengths of…

机器学习 · 计算机科学 2024-08-27 Sagar Srinivas Sakhinana , Geethan Sannidhi , Chidaksh Ravuru , Venkataramana Runkana

Hierarchical time series demands exist in many industries and are often associated with the product, time frame, or geographic aggregations. Traditionally, these hierarchies have been forecasted using top-down, bottom-up, or middle-out…

Irregularly-sampled time series (ITS) are native to high-impact domains like healthcare, where measurements are collected over time at uneven intervals. However, for many classification problems, only small portions of long time series are…

机器学习 · 计算机科学 2023-02-09 Thomas Hartvigsen , Jidapa Thadajarassiri , Xiangnan Kong , Elke Rundensteiner

Detecting and resolving violations of temporal constraints in real-time systems is both, time-consuming and resource-intensive, particularly in complex software environments. Measurement-based approaches are widely used during development,…

操作系统 · 计算机科学 2025-07-31 Benno Bielmeier , Ralf Ramsauer , Takahiro Yoshida , Wolfgang Mauerer

Correlated time series (CTS) forecasting plays an essential role in many practical applications, such as traffic management and server load control. Many deep learning models have been proposed to improve the accuracy of CTS forecasting.…

机器学习 · 计算机科学 2023-02-28 Zhichen Lai , Dalin Zhang , Huan Li , Christian S. Jensen , Hua Lu , Yan Zhao

Clustering of time series data exhibits a number of challenges not present in other settings, notably the problem of registration (alignment) of observed signals. Typical approaches include pre-registration to a user-specified template or…

机器学习 · 统计学 2021-11-03 Michael Weylandt , George Michailidis

Probabilistic hierarchical time-series forecasting is an important variant of time-series forecasting, where the goal is to model and forecast multivariate time-series that have underlying hierarchical relations. Most methods focus on point…

机器学习 · 计算机科学 2023-10-20 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodríguez , Chao Zhang , B. Aditya Prakash

Probabilistic hierarchical time-series forecasting is an important variant of time-series forecasting, where the goal is to model and forecast multivariate time-series that have underlying hierarchical relations. Most methods focus on point…

机器学习 · 计算机科学 2023-10-20 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodríguez , Chao Zhang , B. Aditya Prakash

Trajectory planning for quadrotors in cluttered environments has been challenging in recent years. While many trajectory planning frameworks have been successful, there still exists potential for improvements, particularly in enhancing the…

机器人学 · 计算机科学 2024-06-17 Pengyu Wang , Jiawei Tang , Hin Wang Lin , Fan Zhang , Chaoqun Wang , Jiankun Wang , Ling Shi , Max Q. -H. Meng

In this work, we consider the matrix completion problem, where the objective is to reconstruct a low-rank matrix from a few observed entries. A commonly employed approach involves nuclear norm minimization. For this method to succeed, the…

信号处理 · 电气工程与系统科学 2024-06-25 Hamideh. Sadat Fazael Ardakani , Sajad Daei , Arash Amini , Mikael Skoglund , Gabor Fodor

Irregularly sampled multivariate time series (ISMTS) are prevalent in reality. Most existing methods treat ISMTS as synchronized regularly sampled time series with missing values, neglecting that the irregularities are primarily attributed…

机器学习 · 计算机科学 2024-12-03 Jiexi Liu , Meng Cao , Songcan Chen

Complexity of the Operations Research Theory tasks can be often diminished in cases that do not require finding the exact solution. For example, forecasting two-dimensional hierarchical time series leads us to the transportation problem…

最优化与控制 · 数学 2019-09-06 S. V. Rotin , I. V. Gusakov , V. Ya. Gusakov

Compared to frequent pattern mining, sequential pattern mining emphasizes the temporal aspect and finds broad applications across various fields. However, numerous studies treat temporal events as single time points, neglecting their…

数据库 · 计算机科学 2025-07-18 Shuang Liang , Lili Chen , Wensheng Gan , Philip S. Yu , Shengjie Zhao

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…

机器学习 · 计算机科学 2026-02-13 Zhihang Yuan , Zhiyuan Liu , Mahesh K. Marina

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

机器学习 · 统计学 2022-03-10 Oshri Barazani , David Tolpin

In this paper we address the application of pre-processing techniques to multi-channel time series data with varying lengths, which we refer to as the alignment problem, for downstream machine learning. The misalignment of multi-channel…

Enumeration algorithms have been one of recent hot topics in theoretical computer science. Different from other problems, enumeration has many interesting aspects, such as the computation time can be shorter than the total output size, by…

数据结构与算法 · 计算机科学 2014-07-16 Takeaki Uno

Existing methods of vector autoregressive model for multivariate time series analysis make use of low-rank matrix approximation or Tucker decomposition to reduce the dimension of the over-parameterization issue. In this paper, we propose a…

统计理论 · 数学 2026-01-05 Sijia Xia , Michael K. Ng , Xiongjun Zhang