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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

Time series (TS) modeling has come a long way from early statistical, mainly linear, approaches to the current trend in TS foundation models. With a lot of hype and industrial demand in this field, it is not always clear how much progress…

Machine Learning · Computer Science 2026-02-20 Daniel Durstewitz , Christoph Jürgen Hemmer , Florian Hess , Charlotte Ricarda Doll , Lukas Eisenmann

The Reference Signal Received Power (RSRP) is a crucial factor that determines communication performance in mobile networks. Accurately predicting the RSRP can help network operators perceive user experiences and maximize throughput by…

Networking and Internet Architecture · Computer Science 2025-12-29 Xiaoqian Qi , Haoye Chai , Yue Wang , Zhaocheng Wang , Yong Li

Time series forecasting has witnessed significant progress with deep learning. While prevailing approaches enhance forecasting performance by modifying architectures or introducing novel enhancement strategies, they often fail to…

Machine Learning · Computer Science 2026-03-31 Haonan Yang , Jianchao Tang , Zhuo Li

Time series forecasting is crucial for applications like resource scheduling and risk management, where multi-step predictions provide a comprehensive view of future trends. Uncertainty Quantification (UQ) is a mainstream approach for…

Machine Learning · Computer Science 2025-09-23 Qingdi Yu , Zhiwei Cao , Ruihang Wang , Zhen Yang , Lijun Deng , Min Hu , Yong Luo , Xin Zhou

Purpose: Surgical workflow recognition enables context-aware assistance and skill assessment in computer-assisted interventions. Despite recent advances, current methods suffer from two critical challenges: prediction jitter across…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Yueyao Chen , Kai-Ni Wang , Dario Tayupo , Arnaud Huaulm'e , Krystel Nyangoh Timoh , Pierre Jannin , Qi Dou

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

While dense non-rigid structure from motion (NRSfM) has been extensively studied from the perspective of the reconstructability problem over the recent years, almost no attempts have been undertaken to bring it into the practical realm. The…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 Vladislav Golyanik , André Jonas , Didier Stricker , Christian Theobalt

Local temporal patterns in real-world time series continuously shift, rendering globally shared transformations suboptimal. Current deep forecasting models, despite their scale and complexity, rely on fixed weight matrices applied uniformly…

Machine Learning · Computer Science 2026-05-08 Siru Zhong , Zhao Meng , Haohuan Fu , Haoyang Li , Qingsong Wen , Yuxuan Liang

Multivariate time-series forecasting holds immense value across diverse applications, requiring methods to effectively capture complex temporal and inter-variable dynamics. A key challenge lies in uncovering the intrinsic patterns that…

Machine Learning · Computer Science 2025-03-12 Liang Yu , Lai Tu , Xiang Bai

When a fluid flows over a solid surface, it creates a thin boundary layer where the flow velocity is influenced by the surface through viscosity, and can transition from laminar to turbulent at sufficiently high speeds. Understanding and…

Fluid Dynamics · Physics 2024-10-24 Matthew Bonas , David H. Richter , Stefano Castruccio

Probabilistic forecasting consists in predicting a distribution of possible future outcomes. In this paper, we address this problem for non-stationary time series, which is very challenging yet crucially important. We introduce the STRIPE…

Machine Learning · Statistics 2021-04-13 Vincent Le Guen , Nicolas Thome

Porous materials -- natural or engineered -- often exhibit dual pore-network structures that govern processes such as mineral exploration and hydrocarbon recovery from tight shales. Double porosity/permeability (DPP) mathematical models…

Numerical Analysis · Mathematics 2026-03-23 V. S. Maduri , K. B. Nakshatrala

Time series forecasting has received wide interest from existing research due to its broad applications and inherent challenging. The research challenge lies in identifying effective patterns in historical series and applying them to future…

Machine Learning · Computer Science 2023-07-14 Tianlong Zhao , Xiang Ma , Xuemei Li , Caiming Zhang

Long-term prediction of multivariate time series is still an important but challenging problem. The key to solve this problem is to capture the spatial correlations at the same time, the spatio-temporal relationships at different times and…

Machine Learning · Computer Science 2019-04-17 Yeqi Liu , Chuanyang Gong , Ling Yang , Yingyi Chen

Accurate multivariate time series forecasting hinges on inter-series correlations, which often evolve in complex ways across different temporal scales. Existing methods are limited in modeling these multi-scale dependencies and struggle to…

Machine Learning · Computer Science 2026-01-27 Shaoxun Wang , Xingjun Zhang , Qianyang Li , Jiawei Cao , Zhendong Tan

Inverse Distance Weighted models (IDW) have been widely used for predicting and modeling multidimensional space in multimodal industrial processes. However, the more complex the structure of multidimensional space, the lower the performance…

Machine Learning · Computer Science 2020-08-25 Junjie Zhang , Cong Zhang , Neal N. Xiong

Modern time series data often display complex nonlinear dependencies along with irregular regime-switching behaviors. These features present technical challenges in modeling, inference, and in offering insightful understanding into the…

Machine Learning · Computer Science 2025-01-13 Xiuqin Xu , Hanqiu Peng , Ying Chen

Representation learning on dynamic graphs requires capturing complex dependencies that evolve across both time and structure. Existing approaches typically adopt fixed temporal decay schemes or predetermined structural propagation depths,…

Machine Learning · Computer Science 2026-05-29 Qian Chang , Ciprian Doru Giurcaneanu , Runsong Jia , Xia Li , Guoping Hu , Xiufeng Cheng , Jinqing Yang , Mengjia Wu , Yi Zhang

Accurate energy time-series forecasting is crucial for ensuring grid stability and promoting the integration of renewable energy, yet it faces significant challenges from complex temporal dependencies and the heterogeneity of multi-source…

Machine Learning · Computer Science 2026-01-13 Mingnan Zhu , Qixuan Zhang , Yixuan Cheng , Fangzhou Gu , Shiming Lin
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