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Loss functions are at the heart of deep learning, shaping how models learn and perform across diverse tasks. They are used to quantify the difference between predicted outputs and ground truth labels, guiding the optimization process to…

Machine Learning · Computer Science 2025-09-11 Omar Elharrouss , Yasir Mahmood , Yassine Bechqito , Mohamed Adel Serhani , Elarbi Badidi , Jamal Riffi , Hamid Tairi

Existing hierarchical forecasting techniques scale poorly when the number of time series increases. We propose to learn a coherent forecast for millions of time series with a single bottom-level forecast model by using a sparse loss…

Machine Learning · Computer Science 2024-02-27 Olivier Sprangers , Wander Wadman , Sebastian Schelter , Maarten de Rijke

Inspired from recent insights into the common ground of machine learning, optimization and decision-making, this paper proposes an easy-to-implement, but effective procedure to enhance both the quality of renewable energy forecasts and the…

Optimization and Control · Mathematics 2020-01-17 Miguel Á. Muñoz , Juan M. Morales , Salvador Pineda

As the energy landscape changes quickly, grid operators face several challenges, especially when integrating renewable energy sources with the grid. The most important challenge is to balance supply and demand because the solar and wind…

Machine Learning · Computer Science 2025-01-24 Kamal Sarkar

The loss function used to train a neural network is strongly connected to its output layer from a statistical point of view. This technical report analyzes common activation functions for a neural network output layer, like linear, sigmoid,…

Machine Learning · Computer Science 2025-11-10 Fernando Berzal

Forecast-then-optimize is a widely-used framework for decision-making problems in power systems. Traditionally, statistical losses have been employed to train forecasting models, but recent research demonstrated that improved decision…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Haipeng Zhang , Ran Li , Mingyang Sun , Teng Fei

Running high-resolution physical models is computationally expensive and essential for many disciplines. Agriculture, transportation, and energy are sectors that depend on high-resolution weather models, which typically consume many hours…

Machine Learning · Computer Science 2018-08-17 Eduardo R. Rodrigues , Igor Oliveira , Renato L. F. Cunha , Marco A. S. Netto

We introduce two-scale loss functions for use in various gradient descent algorithms applied to classification problems via deep neural networks. This new method is generic in the sense that it can be applied to a wide range of machine…

Numerical Analysis · Mathematics 2021-09-03 Leonid Berlyand , Robert Creese , Pierre-Emmanuel Jabin

Data privacy and security have become a non-negligible factor in load forecasting. Previous researches mainly focus on training stage enhancement. However, once the model is trained and deployed, it may need to `forget' (i.e., remove the…

Machine Learning · Computer Science 2024-03-12 Wangkun Xu , Fei Teng

We introduce a Loss Discounting Framework for model and forecast combination which generalises and combines Bayesian model synthesis and generalized Bayes methodologies. We use a loss function to score the performance of different models…

Methodology · Statistics 2024-03-29 Dawid Bernaciak , Jim E. Griffin

In this paper, we develop a novel efficient and robust nonparametric regression estimator under a framework of feedforward neural network. There are several interesting characteristics for the proposed estimator. First, the loss function is…

Methodology · Statistics 2023-09-25 Xuancheng Wang , Ling Zhou , Huazhen Lin

The advancement of distributed generation technologies in modern power systems has led to a widespread integration of renewable power generation at customer side. However, the intermittent nature of renewable energy poses new challenges to…

Machine Learning · Computer Science 2023-01-31 Devinder Kaur , Shama Naz Islam , Md. Apel Mahmud , Md. Enamul Haque , Adnan Anwar

The planning and operation of renewable energy, especially wind power, depend crucially on accurate, timely, and high-resolution weather information. Coarse-grid global numerical weather forecasts are typically downscaled to meet these…

Loss functions are error metrics that quantify the difference between a prediction and its corresponding ground truth. Fundamentally, they define a functional landscape for traversal by gradient descent. Although numerous loss functions…

Image and Video Processing · Electrical Eng. & Systems 2021-04-09 Chaitanya Kaul , Nick Pears , Hang Dai , Roderick Murray-Smith , Suresh Manandhar

Many real-world combinatorial problems involve uncertain parameters, which can be predicted given contextual features and historical data. These `predict-then-optimize' or `contextual optimization' problems have gained significant…

Machine Learning · Computer Science 2026-05-19 Noah Schutte , Senne Berden , Tias Guns , Krzysztof Postek , Neil Yorke-Smith

Forecasting and decision-making are generally modeled as two sequential steps with no feedback, following an open-loop approach. In this paper, we present application-driven learning, a new closed-loop framework in which the processes of…

Optimization and Control · Mathematics 2024-04-09 Joaquim Dias Garcia , Alexandre Street , Tito Homem-de-Mello , Francisco D. Muñoz

Energy forecasting is pivotal in energy systems, by providing fundamentals for operation, with different horizons and resolutions. Though energy forecasting has been widely studied for capturing temporal information, very few works…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Chenxi Wang , Pierre Pinson , Yi Wang

All machine learning algorithms use a loss, cost, utility or reward function to encode the learning objective and oversee the learning process. This function that supervises learning is a frequently unrecognized hyperparameter that…

Neural and Evolutionary Computing · Computer Science 2024-11-06 Mathew Mithra Noel , Arindam Banerjee , Yug Oswal , Geraldine Bessie Amali D , Venkataraman Muthiah-Nakarajan

Against the backdrop of increasingly severe global environmental changes, accurately predicting and meeting renewable energy demands has become a key challenge for sustainable business development. Traditional energy demand forecasting…

Machine Learning · Computer Science 2024-10-22 Te Li , Mengze Zhang , Yan Zhou

Rolling forecasts have been almost overlooked in the renewable energy storage literature. In this paper, we provide a new approach for handling uncertainty not just in the accuracy of a forecast, but in the evolution of forecasts over time.…

Optimization and Control · Mathematics 2022-04-18 Saeed Ghadimi , Warren B. Powell