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A novel extrapolation method is proposed for longitudinal forecasting. A hierarchical Gaussian process model is used to combine nonlinear population change and individual memory of the past to make prediction. The prediction error is…

Methodology · Statistics 2014-08-25 Leo L. Duan , John P. Clancy , Rhonda D. Szczesniak

We examine the necessity of interpolation in overparameterized models, that is, when achieving optimal predictive risk in machine learning problems requires (nearly) interpolating the training data. In particular, we consider simple…

Machine Learning · Statistics 2022-06-17 Chen Cheng , John Duchi , Rohith Kuditipudi

The large underlying assumption of climate models today relies on the basis of a "confident" initial condition, a reasonably plausible snapshot of the Earth for which all future predictions depend on. However, given the inherently chaotic…

Applications · Statistics 2025-06-03 Valerie Tsao , Nathaniel W. Chaney , Manolis Veveakis

Predictions of nuclear models guide the design of nuclear facilities to ensure their safe and efficient operation. Because nuclear models often do not perfectly reproduce available experimental data, decisions based on their predictions may…

Nuclear Theory · Physics 2018-11-22 Georg Schnabel

Advances in leveraging Gaussian processes (GP) have enabled learning and inferring dynamic grid behavior from scarce PMU measurements. However, real measurements can be corrupted by various random and targeted threats, leading to inaccurate…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Tina Gao , Shimiao Li , Lawrence Pileggi

We propose a new forecasting method for predicting load demand and generation scheduling. Accurate week-long forecasting of load demand and optimal power generation is critical for efficient operation of power grid systems. In this work, we…

Machine Learning · Computer Science 2019-10-10 Tong Ma , Renke Huang , David Barajas-Solano , Ramakrishna Tipireddy , Alexandre M. Tartakovsky

Electricity load forecasting plays an important role in the energy planning such as generation and distribution. However, the nonlinearity and dynamic uncertainties in the smart grid environment are the main obstacles in forecasting…

Neural and Evolutionary Computing · Computer Science 2018-11-09 Faisal Mohammad , Ki Boem Lee , Young-Chon Kim

The computational demands of modern Deep Neural Networks (DNNs) are immense and constantly growing. While training costs usually capture public attention, inference demands are also contributing in significant computational, energy and…

Neural network models are widely used in solving many challenging problems, such as computer vision, personalized recommendation, and natural language processing. Those models are very computationally intensive and reach the hardware limit…

Machine Learning · Computer Science 2020-04-28 Fei Sun , Minghai Qin , Tianyun Zhang , Liu Liu , Yen-Kuang Chen , Yuan Xie

The application of geostatistical and machine learning methods based on Gaussian processes to big space-time data is beset by the requirement for storing and numerically inverting large and dense covariance matrices. Computationally…

Statistics Theory · Mathematics 2020-08-10 Dionissios T. Hristopulos , Vasiliki D. Agou

We propose a forecasting technique based on multi-feature data fusion to enhance the accuracy of an electric vehicle (EV) charging station load forecasting deep-learning model. The proposed method uses multi-feature inputs based on…

Systems and Control · Electrical Eng. & Systems 2023-02-01 Prince Aduama , Zhibo Zhang , Ameena S. Al Sumaiti

Generative models have recently emerged as powerful surrogates for physical systems, demonstrating increased accuracy, stability, and/or statistical fidelity. Most approaches rely on iteratively denoising a Gaussian, a choice that may not…

Machine Learning · Computer Science 2025-10-01 Anthony Zhou , Alexander Wikner , Amaury Lancelin , Pedram Hassanzadeh , Amir Barati Farimani

Long memory in the sense of slowly decaying autocorrelations is a stylized fact in many time series from economics and finance. The fractionally integrated process is the workhorse model for the analysis of these time series. Nevertheless,…

Econometrics · Economics 2023-09-22 Uwe Hassler , Marc-Oliver Pohle

The use of Gaussian process models is typically limited to datasets with a few tens of thousands of observations due to their complexity and memory footprint. The two most commonly used methods to overcome this limitation are 1) the…

Machine Learning · Statistics 2020-01-16 Vincent Adam , Stefanos Eleftheriadis , Nicolas Durrande , Artem Artemev , James Hensman

This work presents a Long Short-Term Memory (LSTM) network for forecasting a monthly electricity demand time series with a one-year horizon. The novelty of this work is the use of pattern representation of the seasonal time series as an…

Signal Processing · Electrical Eng. & Systems 2020-04-29 Paweł Pełka , Grzegorz Dudek

Missing data theory deals with the statistical methods in the occurrence of missing data. Missing data occurs when some values are not stored or observed for variables of interest. However, most of the statistical theory assumes that data…

Zero-inflated datasets, which have an excess of zero outputs, are commonly encountered in problems such as climate or rare event modelling. Conventional machine learning approaches tend to overestimate the non-zeros leading to poor…

Machine Learning · Statistics 2018-03-15 Pashupati Hegde , Markus Heinonen , Samuel Kaski

Wideband spectrum sensing is an essential part of cognitive radio systems. Exact spectrum estimation is usually inefficient as it requires sampling rates at or above the Nyquist rate. Using prior information on the structure of the signal…

Information Theory · Computer Science 2018-03-14 Lampros Flokas , Petros Maragos

Accurate load forecasting is crucial for maintaining the power balance between generators and consumers,particularly with the increasing integration of renewable energy sources, which introduce significant intermittent volatility. With the…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Mingyang Gao , Suyang Zhou , Wei Gu , Zhi Wu , Haiquan Liu , Aihua Zhou

Sparse Gaussian Processes are a key component of high-throughput Bayesian optimisation (BO) loops -- an increasingly common setting where evaluation budgets are large and highly parallelised. By using representative subsets of the available…

Machine Learning · Computer Science 2022-07-14 Henry B. Moss , Sebastian W. Ober , Victor Picheny
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