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This research introduces an extended application of neural networks for solving nonlinear partial differential equations (PDEs). A neural network, combined with a pseudo-arclength continuation, is proposed to construct bifurcation diagrams…

Numerical Analysis · Mathematics 2025-07-24 Muhammad Luthfi Shahab , Hadi Susanto

Most electricity systems worldwide are deploying advanced metering infrastructures to collect relevant operational data. In particular, smart meters allow tracking electricity load consumption at a very disaggregated level and at high…

Machine Learning · Statistics 2020-03-09 Andrés M. Alonso , F. Javier Nogales , Carlos Ruiz

This paper covers predicting high-resolution electricity peak demand features given lower-resolution data. This is a relevant setup as it answers whether limited higher-resolution monitoring helps to estimate future high-resolution peak…

Machine Learning · Computer Science 2023-02-13 Jonathan Berrisch , Michał Narajewski , Florian Ziel

The precise forecasting of electricity demand also referred to as load forecasting, is essential for both planning and managing a power system. It is crucial for many tasks, including choosing which power units to commit to, making plans…

Machine Learning · Computer Science 2024-06-12 Kazi Fuad Bin Akhter , Sadia Mobasshira , Saief Nowaz Haque , Mahjub Alam Khan Hesham , Tanvir Ahmed

A large collection of time series poses significant challenges for classical and neural forecasting approaches. Classical time series models fail to fit data well and to scale to large problems, but succeed at providing uncertainty…

Machine Learning · Statistics 2018-12-04 Danielle C. Maddix , Yuyang Wang , Alex Smola

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

Electricity price forecasting (EPF) plays a critical role in power system operation and market decision making. While existing review studies have provided valuable insights into forecasting horizons, market mechanisms, and evaluation…

Computational Finance · Quantitative Finance 2026-05-13 Runyao Yu , Derek W. Bunn , Julia Lin , Jochen Stiasny , Fabian Leimgruber , Tara Esterl , Yuchen Tao , Lianlian Qi , Yujie Chen , Wentao Wang , Jochen L. Cremer

With the increasing number of base stations (BSs) and network densification in 5G, interference management using link scheduling and power control are vital for better utilization of radio resources. However, the complexity of solving link…

Networking and Internet Architecture · Computer Science 2018-11-20 Shenghe Xu , Pei Liu , Ran Wang , Shivendra S. Panwar

Battery-based energy storage has emerged as an enabling technology for a variety of grid energy optimizations, such as peak shaving and cost arbitrage. A key component of battery-driven peak shaving optimizations is peak forecasting, which…

Signal Processing · Electrical Eng. & Systems 2020-05-28 Akhil Soman , Amee Trivedi , David Irwin , Beka Kosanovic , Benjamin McDaniel , Prashant Shenoy

Climate-economic modeling under uncertainty presents significant computational challenges that may limit policymakers' ability to address climate change effectively. This paper explores neural network-based approaches for solving…

Machine Learning · Computer Science 2025-05-20 Carlos Rodriguez-Pardo , Louis Daumas , Leonardo Chiani , Massimo Tavoni

Deep neural networks have been demonstrated impressive results in various cognitive tasks such as object detection and image classification. In order to execute large networks, Von Neumann computers store the large number of weight…

Neural and Evolutionary Computing · Computer Science 2015-08-06 Jaeyong Chung , Taehwan Shin , Yongshin Kang

Time series forecasting is a fundamental task emerging from diverse data-driven applications. Many advanced autoregressive methods such as ARIMA were used to develop forecasting models. Recently, deep learning based methods such as DeepAr,…

Inflation is a major determinant for allocation decisions and its forecast is a fundamental aim of governments and central banks. However, forecasting inflation is not a trivial task, as its prediction relies on low frequency, highly…

Econometrics · Economics 2023-03-30 Maximilian Tschuchnig , Petra Tschuchnig , Cornelia Ferner , Michael Gadermayr

Machine learning applications such as finance and medicine demand accurate and justifiable predictions, barring most deep learning methods from use. In response, previous work combines decision trees with deep learning, yielding models that…

Computer Vision and Pattern Recognition · Computer Science 2021-01-29 Alvin Wan , Lisa Dunlap , Daniel Ho , Jihan Yin , Scott Lee , Henry Jin , Suzanne Petryk , Sarah Adel Bargal , Joseph E. Gonzalez

This paper presents machine learning techniques and deep reinforcement learningbased algorithms for the efficient resolution of nonlinear partial differential equations and dynamic optimization problems arising in investment decisions and…

Optimization and Control · Mathematics 2021-04-19 Maximilien Germain , Huyên Pham , Xavier Warin

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…

Machine Learning · Computer Science 2023-06-21 Liping Zhang , Di Wu , Xin Luo

Deep neural networks tend to underestimate uncertainty and produce overly confident predictions. Recently proposed solutions, such as MC Dropout and SDENet, require complex training and/or auxiliary out-of-distribution data. We propose a…

Machine Learning · Computer Science 2021-10-14 Akib Mashrur , Wei Luo , Nayyar A. Zaidi , Antonio Robles-Kelly

Modern weather forecast models perform uncertainty quantification using ensemble prediction systems, which collect nonparametric statistics based on multiple perturbed simulations. To provide accurate estimation, dozens of such…

Machine Learning · Computer Science 2019-12-06 Peter Grönquist , Tal Ben-Nun , Nikoli Dryden , Peter Dueben , Luca Lavarini , Shigang Li , Torsten Hoefler

Forecasting with multivariate time series, which aims to predict future values given previous and current several univariate time series data, has been studied for decades, with one example being ARIMA. Because it is difficult to measure…

Artificial Intelligence · Computer Science 2020-10-19 Youngjin Park , Deokjun Eom , Byoungki Seo , Jaesik Choi

A fundamental challenge in neuroscience is to understand what structure in the world is represented in spatially distributed patterns of neural activity from multiple single-trial measurements. This is often accomplished by learning a…

Neural and Evolutionary Computing · Computer Science 2020-07-01 Jesse A. Livezey , Kristofer E. Bouchard , Edward F. Chang