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We outline an inherent weakness of tensor factorization models when latent factors are expressed as a function of side information and propose a novel method to mitigate this weakness. We coin our method \textit{Kernel Fried Tensor}(KFT)…

机器学习 · 统计学 2020-02-13 Robert Hu , Geoff K. Nicholls , Dino Sejdinovic

Recent developments related to the energy transition pose particular challenges for distribution grids. Hence, precise load forecasts become more and more important for effective grid management. Novel modeling approaches such as the…

机器学习 · 计算机科学 2023-05-19 Elena Giacomazzi , Felix Haag , Konstantin Hopf

Probabilistic Temporal Tensor Factorization (PTTF) is an effective algorithm to model the temporal tensor data. It leverages a time constraint to capture the evolving properties of tensor data. Nowadays the exploding dataset demands a large…

机器学习 · 统计学 2016-11-14 Guangxi Li , Zenglin Xu , Linnan Wang , Jinmian Ye , Irwin King , Michael Lyu

Recent breakthroughs in large-scale generative modeling have demonstrated the potential of foundation models in domains such as natural language, computer vision, and protein structure prediction. However, their application in the energy…

机器学习 · 计算机科学 2025-01-29 Michael Fuest , Alfredo Cuesta , Kalyan Veeramachaneni

In contemporary power systems, energy consumption prediction plays a crucial role in maintaining grid stability and resource allocation enabling power companies to minimize energy waste and avoid overloading the grid. While there are…

机器学习 · 计算机科学 2025-03-20 Aayam Bansal , Keertan Balaji , Zeus Lalani

Tensor time series, which is a time series consisting of tensorial observations, has become ubiquitous. It typically exhibits high dimensionality. One approach for dimension reduction is to use a factor model structure, in a form similar to…

统计方法学 · 统计学 2024-07-19 Yuefeng Han , Rong Chen , Dan Yang , Cun-Hui Zhang

We present a tensor network model (TNM) for forecasting nonlinear and chaotic dynamics, bridging quantum many-body methods with classical complex systems. The TNM leverages hierarchical tensor contractions to encode non-Markovian temporal…

量子物理 · 物理学 2025-11-13 Jia-Bin You , Jian Feng Kong , Jun Ye

Accurate electrical load forecasting is of great importance for the efficient operation and control of modern power systems. In this work, a hybrid long short-term memory (LSTM)-based model with online correction is developed for day-ahead…

系统与控制 · 电气工程与系统科学 2024-03-07 Nan Lu , Quan Ouyang , Yang Li , Changfu Zou

Gaussian processes are widely used for the analysis of spatial data due to their nonparametric flexibility and ability to quantify uncertainty, and recently developed scalable approximations have facilitated application to massive datasets.…

统计方法学 · 统计学 2021-10-13 F. William Townes , Barbara E. Engelhardt

In the real world, long sequence time-series forecasting (LSTF) is needed in many cases, such as power consumption prediction and air quality prediction.Multi-dimensional long time series model has more strict requirements on the model,…

机器学习 · 计算机科学 2022-05-11 Ning Wang

Mid-term electricity load forecasting (LF) plays a critical role in power system planning and operation. To address the issue of error accumulation and transfer during the operation of existing LF models, a novel model called error…

机器学习 · 计算机科学 2023-06-21 Liping Zhang , Di Wu , Xin Luo

Daily electricity consumption forecasting is a classical problem. Existing forecasting algorithms tend to have decreased accuracy on special dates like holidays. This study decomposes the daily electricity consumption series into three…

机器学习 · 计算机科学 2023-10-25 Zhou Lan , Ben Liu , Yi Feng , Danhuang Dong , Peng Zhang

Tensor decomposition is a popular technique for tensor completion, However most of the existing methods are based on linear or shallow model, when the data tensor becomes large and the observation data is very small, it is prone to over…

数值分析 · 数学 2021-05-21 Qianxi Wu , An-Bao Xu

Tensor time series data appears naturally in a lot of fields, including finance and economics. As a major dimension reduction tool, similar to its factor model counterpart, the idiosyncratic components of a tensor time series factor model…

统计方法学 · 统计学 2022-08-09 Weilin Chen , Clifford Lam

The time-frequency map (TFM) is frequently used in condition monitoring, necessitating further processing to select an informative frequency band (IFB) or directly detect damage. However, selecting an IFB is challenging due to the…

信号处理 · 电气工程与系统科学 2026-04-28 Anna Michalak , Justyna Hebda-Sobkowicz , Anil Kumar , Radoslaw Zimroz , Rafal Zdunek , Agnieszka Wylomanska

Long-term time series forecasting (LTSF) represents a critical frontier in time series analysis, characterized by extensive input sequences, as opposed to the shorter spans typical of traditional approaches. While longer sequences…

机器学习 · 计算机科学 2024-10-17 Jinliang Deng , Feiyang Ye , Du Yin , Xuan Song , Ivor W. Tsang , Hui Xiong

Generative probabilistic forecasting produces future time series samples according to the conditional probability distribution given past time series observations. Such techniques are essential in risk-based decision-making and planning…

机器学习 · 计算机科学 2024-02-22 Xinyi Wang , Lang Tong , Qing Zhao

A large-scale dynamic network (LDN) is a source of data in many big data-related applications due to their large number of entities and large-scale dynamic interactions. They can be modeled as a high-dimensional incomplete (HDI) tensor that…

机器学习 · 计算机科学 2023-05-05 Aoling Zeng

Nonnegative Matrix Factorization (NMF) is an important unsupervised learning method to extract meaningful features from data. To address the NMF problem within a polynomial time framework, researchers have introduced a separability…

机器学习 · 计算机科学 2025-01-23 Juefei Chen , Longxiu Huang , Yimin Wei

In this work we perform some mathematical analysis on non-negative matrix factorizations (NMF) and apply NMF to some imaging and inverse problems. We will propose a sparse low-rank approximation of big positive data and images in terms of…

最优化与控制 · 数学 2015-04-24 Yat Tin Chow , Kazufumi Ito , Jun Zou