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Many economic and scientific problems involve the analysis of high-dimensional functional time series, where the number of functional variables $p$ diverges as the number of serially dependent observations $n$ increases. In this paper, we…

Methodology · Statistics 2025-08-12 Shaojun Guo , Xinghao Qiao , Qingsong Wang , Zihan Wang

The modal factor model represents a new factor model for dimension reduction in high dimensional panel data. Unlike the approximate factor model that targets for the mean factors, it captures factors that influence the conditional mode of…

Econometrics · Economics 2024-10-01 Zhe Sun , Yundong Tu

The proposed article aims at offering a comprehensive tutorial for the computational aspects of structured matrix and tensor factorization. Unlike existing tutorials that mainly focus on {\it algorithmic procedures} for a small set of…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

Seasonal climate variations affect electricity demand, which in turn affects month-to-month electricity planning and operations. Electricity system planning at the monthly timescale can be improved by adapting climate forecasts to estimate…

Systems and Control · Electrical Eng. & Systems 2019-11-12 A. R. de Queiroz , D. Mulcahy , A. Sankarasubramanian , J. P. Deane , G. Mahinthakumar , N. Lu , J. F. DeCarolis

We address prediction problems on tabular categorical data, where each instance is defined by multiple categorical attributes, each taking values from a finite set. These attributes are often referred to as fields, and their categorical…

Tensor methods have become a promising tool to solve high-dimensional problems in the big data era. By exploiting possible low-rank tensor factorization, many high-dimensional model-based or data-driven problems can be solved to facilitate…

Optimization and Control · Mathematics 2019-08-22 Chunfeng Cui , Cole Hawkins , Zheng Zhang

As the proportion of total power supplied by renewable sources increases, it gets more costly to use reserve generation to compensate for the variability of renewables like solar and wind. Hence attention has been drawn to exploiting…

Systems and Control · Computer Science 2014-08-26 Ashutosh Nayyar , Matias Negrete-Pincetic , Kameshwar Poolla , Pravin Varaiya

Tensors, or multidimensional arrays, are data structures that can naturally represent visual data of multiple dimensions. Inherently able to efficiently capture structured, latent semantic spaces and high-order interactions, tensors have a…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Yannis Panagakis , Jean Kossaifi , Grigorios G. Chrysos , James Oldfield , Mihalis A. Nicolaou , Anima Anandkumar , Stefanos Zafeiriou

Imagine generating a city's electricity demand pattern based on weather, the presence of an electric vehicle, and location, which could be used for capacity planning during a winter freeze. Such real-world time series are often enriched…

Machine Learning · Computer Science 2025-10-31 Sai Shankar Narasimhan , Shubhankar Agarwal , Oguzhan Akcin , Sujay Sanghavi , Sandeep Chinchali

We consider a threshold factor model for high-dimensional time series in which the dynamics of the time series is assumed to switch between different regimes according to the value of a threshold variable. This is an extension of threshold…

Methodology · Statistics 2019-06-06 Xialu Liu , Rong Chen

Time series forecasting is a critical task in domains such as energy, finance, and meteorology, where accurate long-term predictions are essential. While Transformer-based models have shown promise in capturing temporal dependencies, their…

Machine Learning · Computer Science 2024-12-10 Zhenkai Qin , Baozhong Wei , Caifeng Gao , Jianyuan Ni

Tensors provide a robust framework for managing high-dimensional data. Consequently, tensor analysis has emerged as an active research area in various domains, including machine learning, signal processing, computer vision, graph analysis,…

Computation · Statistics 2025-10-01 Michele Gallo

Ensuring grid stability in the transition to renewable energy sources requires accurate power demand forecasting. This study addresses the need for precise forecasting by differentiating among industrial, commercial, and residential…

Machine Learning · Computer Science 2025-06-06 Asier Diaz-Iglesias , Xabier Belaunzaran , Ane M. Florez-Tapia

The prediction of electrical power in combined cycle power plants is a key challenge in the electrical power and energy systems field. This power output can vary depending on environmental variables, such as temperature, pressure, and…

Signal Processing · Electrical Eng. & Systems 2019-08-06 Jesus L. Lobo , Igor Ballesteros , Izaskun Oregi , Javier Del Ser

We conduct an extensive empirical study on short-term electricity price forecasting (EPF) to address the long-standing question if the optimal model structure for EPF is univariate or multivariate. We provide evidence that despite a minor…

Applications · Statistics 2018-05-18 Florian Ziel , Rafal Weron

Matrix-variate data of high dimensions are frequently observed in finance and economics, spanning extended time periods, such as the long-term data on international trade flows among numerous countries. To address potential structural…

Methodology · Statistics 2024-04-03 Bin Chen , Elynn Y. Chen , Stevenson Bolivar , Rong Chen

Reducing parameter redundancies in neural network architectures is crucial for achieving feasible computational and memory requirements during training and inference phases. Given its easy implementation and flexibility, one promising…

Machine Learning · Computer Science 2025-08-22 Emanuele Zangrando , Steffen Schotthöfer , Gianluca Ceruti , Jonas Kusch , Francesco Tudisco

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…

Machine Learning · Statistics 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

One of the primal challenges faced by utility companies is ensuring efficient supply with minimal greenhouse gas emissions. The advent of smart meters and smart grids provide an unprecedented advantage in realizing an optimised supply of…

Machine Learning · Computer Science 2023-07-19 Adithya Ramachandran , Satyaki Chatterjee , Siming Bayer , Andreas Maier , Thorkil Flensmark

Recommender systems learn from past user behavior to predict future user preferences. Intuitively, it has been established that the most recent interactions are more indicative of future preferences than older interactions. Many…

Information Retrieval · Computer Science 2025-08-07 Joey De Pauw , Bart Goethals
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