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The transition away from carbon-based energy sources poses several challenges for the operation of electricity distribution systems. Increasing shares of distributed energy resources (e.g. renewable energy generators, electric vehicles) and…

Machine Learning · Computer Science 2021-03-15 Francesco Fusco , Bradley Eck , Robert Gormally , Mark Purcell , Seshu Tirupathi

We present a data-driven approach for probabilistic wind power forecasting based on conditional normalizing flow (CNF). In contrast with the existing, this approach is distribution-free (as for non-parametric and quantile-based approaches)…

Systems and Control · Electrical Eng. & Systems 2022-07-20 Honglin Wen , Pierre Pinson , Jinghuan Ma , Jie Gu , Zhijian Jin

The growing renewable energy sources have posed significant challenges to traditional power scheduling. It is difficult for operators to obtain accurate day-ahead forecasts of renewable generation, thereby requiring the future scheduling…

Artificial Intelligence · Computer Science 2023-03-14 Shaohuai Liu , Jinbo Liu , Weirui Ye , Nan Yang , Guanglun Zhang , Haiwang Zhong , Chongqing Kang , Qirong Jiang , Xuri Song , Fangchun Di , Yang Gao

Generative Flow Networks (or GFlowNets for short) are a family of probabilistic agents that learn to sample complex combinatorial structures through the lens of "inference as control". They have shown great potential in generating…

Machine Learning · Computer Science 2023-06-27 Ling Pan , Dinghuai Zhang , Moksh Jain , Longbo Huang , Yoshua Bengio

Through examples of coordinate and probability transformation between different distributions, the basic principle of normalizing flow is introduced in a simple and concise manner. From the perspective of the distribution of random variable…

Machine Learning · Computer Science 2024-01-22 Hongjun Zhang

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

Normalizing flows are a powerful class of generative models demonstrating strong performance in several speech and vision problems. In contrast to other generative models, normalizing flows are latent variable models with tractable…

Machine Learning · Computer Science 2021-08-06 Dmitry Baranchuk , Vladimir Aliev , Artem Babenko

We introduce graph normalizing flows: a new, reversible graph neural network model for prediction and generation. On supervised tasks, graph normalizing flows perform similarly to message passing neural networks, but at a significantly…

Machine Learning · Computer Science 2019-05-31 Jenny Liu , Aviral Kumar , Jimmy Ba , Jamie Kiros , Kevin Swersky

Normalizing flows model complex probability distributions by combining a base distribution with a series of bijective neural networks. State-of-the-art architectures rely on coupling and autoregressive transformations to lift up invertible…

Machine Learning · Computer Science 2021-02-15 Antoine Wehenkel , Gilles Louppe

This study delves into the shift from centralized to decentralized approaches in the electricity industry, with a particular focus on how machine learning (ML) advancements play a crucial role in empowering renewable energy sources and…

Machine Learning · Computer Science 2023-10-25 Mohammad Mohammadi , Ali Mohammadi

This paper presents a parameter scan technique for BSM signal models based on normalizing flow. Normalizing flow is a type of deep learning model that transforms a simple probability distribution into a complex probability distribution as…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Masahiko Saito , Masahiro Morinaga , Tomoe Kishimoto , Junichi Tanaka

Normalizing Flows are generative models which produce tractable distributions where both sampling and density evaluation can be efficient and exact. The goal of this survey article is to give a coherent and comprehensive review of the…

Machine Learning · Statistics 2020-06-09 Ivan Kobyzev , Simon J. D. Prince , Marcus A. Brubaker

The accurate prediction of phase diagrams is of central importance for both the fundamental understanding of materials as well as for technological applications in material sciences. However, the computational prediction of the relative…

Statistical Mechanics · Physics 2024-11-26 Maximilian Schebek , Michele Invernizzi , Frank Noé , Jutta Rogal

As global energy systems transit to clean energy, accurate renewable generation and renewable demand forecasting is imperative for effective grid management. Foundation Models (FMs) can help improve forecasting of renewable generation and…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Md Meftahul Ferdaus , Tanmoy Dam , Md Rasel Sarkar , Moslem Uddin , Sreenatha G. Anavatti

Electricity price forecasting has become a critical tool for decision-making in energy markets, particularly as the increasing penetration of renewable energy introduces greater volatility and uncertainty. Historically, research in this…

Statistical Finance · Quantitative Finance 2025-11-11 Ciaran O'Connor , Mohamed Bahloul , Steven Prestwich , Andrea Visentin

Normalizing flows are a class of deep generative models that are especially interesting for modeling probability distributions in physics, where the exact likelihood of flows allows reweighting to known target energy functions and computing…

Machine Learning · Statistics 2023-11-27 Leon Klein , Andreas Krämer , Frank Noé

Some real-world decision-making problems require making probabilistic forecasts over multiple steps at once. However, methods for probabilistic forecasting may fail to capture correlations in the underlying time-series that exist over long…

Machine Learning · Computer Science 2022-01-19 Arec Jamgochian , Di Wu , Kunal Menda , Soyeon Jung , Mykel J. Kochenderfer

Flow matching has recently emerged as a powerful paradigm for generative modeling and has been extended to probabilistic time series forecasting in latent spaces. However, the impact of the specific choice of probability path model on…

Machine Learning · Statistics 2025-08-19 Soon Hoe Lim , Yijin Wang , Annan Yu , Emma Hart , Michael W. Mahoney , Xiaoye S. Li , N. Benjamin Erichson

Conformal Prediction offers a powerful framework for quantifying uncertainty in machine learning models, enabling the construction of prediction sets with finite-sample validity guarantees. While easily adaptable to non-probabilistic…

Machine Learning · Statistics 2024-11-27 Eshant English , Christoph Lippert

Power flow analysis plays a crucial role in examining the electricity flow within a power system network. By performing power flow calculations, the system's steady-state variables, including voltage magnitude, phase angle at each bus,…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Mingjian Tuo , Xingpeng Li , Tianxia Zhao