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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…

Quantum Physics · Physics 2025-11-13 Jia-Bin You , Jian Feng Kong , Jun Ye

Tensor analysis has been a widely studied in physics applications including circuit theory and electric machines. This paper reviews some of the main features of this type of representation for unbalanced power distribution systems and…

Optimization and Control · Mathematics 2018-05-14 Alejandro Garces

Power systems operate under uncertainty originating from multiple factors that are impossible to account for deterministically. Distributional forecasting is used to control and mitigate risks associated with this uncertainty. Recent…

Machine Learning · Computer Science 2024-10-07 Slawek Smyl , Boris N. Oreshkin , Paweł Pełka , Grzegorz Dudek

Forecasting power consumptions of integrated electrical, heat or gas network systems is essential in order to operate more efficiently the whole energy network. Multi-energy systems are increasingly seen as a key component of future energy…

Machine Learning · Computer Science 2025-03-11 Corneliu Arsene , Alessandra Parisio

As a result of increasing population and globalization, the demand for energy has greatly risen. Therefore, accurate energy consumption forecasting has become an essential prerequisite for government planning, reducing power wastage and…

Machine Learning · Computer Science 2022-07-05 Muhammad Bilal , Hyeok Kim , Muhammad Fayaz , Pravin Pawar

In the context of capacity planning, forecasting the evolution of informatics servers usage enables companies to better manage their computational resources. We address this problem by collecting key indicator time series and propose to…

Artificial Intelligence · Computer Science 2018-11-07 Colin Leverger , Vincent Lemaire , Simon Malinowski , Thomas Guyet , Laurence Rozé

Wind energy plays an increasing role in the supply of energy world-wide. The energy output of a wind farm is highly dependent on the weather condition present at the wind farm. If the output can be predicted more accurately, energy…

Artificial Intelligence · Computer Science 2011-09-12 Katya Vladislavleva , Tobias Friedrich , Frank Neumann , Markus Wagner

We introduce a tensor-based model of shared representation for meta-learning from a diverse set of tasks. Prior works on learning linear representations for meta-learning assume that there is a common shared representation across different…

Machine Learning · Computer Science 2022-01-20 Samuel Deng , Yilin Guo , Daniel Hsu , Debmalya Mandal

Over recent years it has become well accepted that user interest is not static or immutable. There are a variety of contextual factors, such as time of day, the weather or the user's mood, that influence the current interests of the user.…

Information Retrieval · Computer Science 2025-04-15 Joey De Pauw , Bart Goethals

We explore the application of kernel-based multi-task learning techniques to forecast the demand of electricity in multiple nodes of a distribution network. We show that recently developed output kernel learning techniques are particularly…

Machine Learning · Computer Science 2015-12-29 Jean-Baptiste Fiot , Francesco Dinuzzo

The increasing use of renewable energy sources with variable output, such as solar photovoltaic and wind power generation, calls for Smart Grids that effectively manage flexible loads and energy storage. The ability to forecast consumption…

Machine Learning · Computer Science 2014-04-02 Andreas Veit , Christoph Goebel , Rohit Tidke , Christoph Doblander , Hans-Arno Jacobsen

Power demand forecasting is a crucial and challenging task for new power system and integrated energy system. However, as public feature databases and the theoretical mechanism of power demand changes are unavailable, the known features of…

Machine Learning · Computer Science 2023-12-04 Zifan Ning , Min Jin

Increasingly, homeowners opt for photovoltaic (PV) systems and/or battery storage to minimize their energy bills and maximize renewable energy usage. This has spurred the development of advanced control algorithms that maximally achieve…

Machine Learning · Computer Science 2023-10-31 Gargya Gokhale , Jonas Van Gompel , Bert Claessens , Chris Develder

Machine learning and data mining algorithms are becoming increasingly important in analyzing large volume, multi-relational and multi--modal datasets, which are often conveniently represented as multiway arrays or tensors. It is therefore…

Numerical Analysis · Computer Science 2017-09-12 A. Cichocki , N. Lee , I. V. Oseledets , A. -H. Phan , Q. Zhao , D. Mandic

High-frequency quantitative investment is a crucial aspect of stock investment. Notably, order flow data plays a critical role as it provides the most detailed level of information among high-frequency trading data, including comprehensive…

Statistical Finance · Quantitative Finance 2023-08-17 Xianfeng Jiao , Zizhong Li , Chang Xu , Yang Liu , Weiqing Liu , Jiang Bian

We introduce a change of perspective on tensor network states that is defined by the computational graph of the contraction of an amplitude. The resulting class of states, which we refer to as tensor network functions, inherit the…

Quantum Physics · Physics 2025-01-06 Wen-Yuan Liu , Si-Jing Du , Ruojing Peng , Johnnie Gray , Garnet Kin-Lic Chan

The online analysis of multi-way data stored in a tensor $\mathcal{X} \in \mathbb{R} ^{I_1 \times \dots \times I_N} $ has become an essential tool for capturing the underlying structures and extracting the sensitive features which can be…

Machine Learning · Computer Science 2020-03-11 Ali Anaissi , Basem Suleiman , Seid Miad Zandavi

Consider a data set collected by (individuals-features) pairs in different times. It can be represented as a tensor of three dimensions (Individuals, features and times). The tensor biclustering problem computes a subset of individuals and…

Machine Learning · Computer Science 2019-03-12 Andriantsiory Dina Faneva , Mustapha Lebbah , Hanane Azzag , Gaël Beck

Current time-series forecasting problems use short-term weather attributes as exogenous inputs. However, in specific time-series forecasting solutions (e.g., demand prediction in the supply chain), seasonal climate predictions are crucial…

Machine Learning · Computer Science 2023-09-06 Smit Marvaniya , Jitendra Singh , Nicolas Galichet , Fred Ochieng Otieno , Geeth De Mel , Kommy Weldemariam

For the purpose of Monte Carlo scenario generation, we propose a graphical model for the joint distribution of wind power and electricity demand in a given region. To conform with the practice in the electric power industry, we assume that…

Methodology · Statistics 2021-11-30 René Carmona , Xinshuo Yang