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Kernel density estimation is a popular method for estimating unseen probability distributions. However, the convergence of these classical estimators to the true density slows down in high dimensions. Moreover, they do not define meaningful…

统计理论 · 数学 2025-05-30 Jack Kendrick

This study proposes multivariate kernel density estimation by stagewise minimization algorithm based on $U$-divergence and a simple dictionary. The dictionary consists of an appropriate scalar bandwidth matrix and a part of the original…

机器学习 · 统计学 2021-08-11 Kiheiji Nishida , Kanta Naito

Load shapes derived from smart meter data are frequently employed to analyze daily energy consumption patterns, particularly in the context of applications like Demand Response (DR). Nevertheless, one of the most important challenges to…

Increased deployment of residential smart meters has made it possible to record energy consumption data on short intervals. These data, if used efficiently, carry valuable information for managing power demand and increasing energy…

其他计算机科学 · 计算机科学 2019-03-05 Nameer Al Khafaf , Mahdi Jalili , Peter Sokolowski

Residential consumers can use the demand response program (DRP) if they can utilize the home energy management system (HEMS), which reduces consumer costs by automatically adjusting air conditioning (AC) setpoints and shifting some…

系统与控制 · 电气工程与系统科学 2023-05-16 Reza Nematirad , M. M. Ardehali , Amir Khorsandi

Kernel density estimation is a widely used nonparametric approach to estimate an unknown distribution. Recent work in Bayesian predictive inference has considered stochastic processes formed by specifying the predictive distribution for the…

统计方法学 · 统计学 2026-05-15 Torey Hilbert

Integrating renewable energy sources into the power grid is becoming increasingly important as the world moves towards a more sustainable energy future in line with SDG 7. However, the intermittent nature of renewable energy sources can…

We are interested in the nonparametric estimation of the probability density of price returns, using the kernel approach. The output of the method heavily relies on the selection of a bandwidth parameter. Many selection methods have been…

统计金融 · 定量金融 2023-05-23 Matthieu Garcin

A smart home energy dataset that records miscellaneous energy consumption data is publicly offered. The proposed energy activity dataset (EAD) has a high data type diversity in contrast to existing load monitoring datasets. In EAD, a simple…

信号处理 · 电气工程与系统科学 2022-10-26 Chen Li

We introduce a novel kernel-based framework for learning differential equations and their solution maps that is efficient in data requirements, in terms of solution examples and amount of measurements from each example, and computational…

In this paper we revisit the kernel density estimation problem: given a kernel $K(x, y)$ and a dataset of $n$ points in high dimensional Euclidean space, prepare a data structure that can quickly output, given a query $q$, a…

数据结构与算法 · 计算机科学 2020-11-16 Moses Charikar , Michael Kapralov , Navid Nouri , Paris Siminelakis

The electricity consumption of buildings composes a major part of the city's energy consumption. Electricity consumption forecasting enables the development of home energy management systems resulting in the future design of more…

机器学习 · 计算机科学 2022-08-16 Farshad Ahmadi Asl , Mehmet Bodur

Accurate prediction of electricity prices plays an essential role in the electricity market. To reflect the uncertainty of electricity prices, price intervals are predicted. This paper proposes a novel prediction interval construction…

机器学习 · 计算机科学 2025-01-15 Xin Lu

Demand side management (DSM) is a key solution for reducing the peak-time power consumption in smart grids. To provide incentives for consumers to shift their consumption to off-peak times, the utility company charges consumers differential…

系统与控制 · 计算机科学 2013-11-11 Linqi Song , Yuanzhang Xiao , Mihaela van der Schaar

New generation electricity network called Smart Grid is a recently conceived vision for a cleaner, more efficient and cheaper electricity system. One of the major challenges of electricity network is that generation and consumption should…

系统与控制 · 计算机科学 2016-08-02 Lorant Kovacs , Rajmund Drenyovszki , Andras Olah , Janos Levendovszky , Kalman Tornai , Istvan Pinter

Short-term forecasts of energy consumption are invaluable for the operation of energy systems, including low voltage electricity networks. However, network loads are challenging to predict when highly desegregated to small numbers of…

应用统计 · 统计学 2023-01-10 Ciaran Gilbert , Jethro Browell , Bruce Stephen

We review recent advances in modal regression studies using kernel density estimation. Modal regression is an alternative approach for investigating relationship between a response variable and its covariates. Specifically, modal regression…

统计方法学 · 统计学 2017-12-08 Yen-Chi Chen

Conditional density estimation generalizes regression by modeling a full density f(yjx) rather than only the expected value E(yjx). This is important for many tasks, including handling multi-modality and generating prediction intervals.…

统计方法学 · 统计学 2012-06-26 Michael P. Holmes , Alexander G. Gray , Charles Lee Isbell

In the near future, millions of load curves measuring the electricity consumption of French households in small time grids (probably half hours) will be available. All these collected load curves represent a huge amount of information which…

统计方法学 · 统计学 2015-01-20 Hervé Cardot , Anne De Moliner , Camelia Goga

This paper analyzes a scenario where the distribution system operator needs to estimate whether the average power demand in a given period is above a predetermined threshold using an 1-bit memoryless scheme. Specifically, individual…

信息论 · 计算机科学 2016-08-05 Iran Ramezanipour , Mauricio C. Tomé , Pedro H. J. Nardelli , Hirley Alves