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Kernel density estimation (KDE) has become a popular method for visual analysis in various fields, such as financial risk forecasting, crime clustering, and traffic monitoring. KDE can identify high-density areas from discrete datasets.…

Databases · Computer Science 2025-01-14 Yu Shao , Peng Cheng , Xiang Lian , Lei Chen , Wangze Ni , Xuemin Lin , Chen Zhang , Liping Wang

Kernel Estimation provides an unbinned and non-parametric estimate of the probability density function from which a set of data is drawn. In the first section, after a brief discussion on parametric and non-parametric methods, the theory of…

High Energy Physics - Experiment · Physics 2009-10-31 Kyle S. Cranmer

With the rise of the Internet of Things, strategies for effectively processing big data are essential for discovering meaningul insights. The time series datasets produced by groups of interconnected devices contain valuable underlying…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Turner Richmond , Namita Lokare , Qian Ge , Edgar Lobaton

We propose several approaches for solving differential equations (DEs) with quantum kernel methods. We compose quantum models as weighted sums of kernel functions, where variables are encoded using feature maps and model derivatives are…

Quantum Physics · Physics 2023-04-12 Annie E. Paine , Vincent E. Elfving , Oleksandr Kyriienko

Kernel density estimation is a technique for approximating probability distributions. Here, it is applied to the calculation of mutual information on a metric space. This is motivated by the problem in neuroscience of calculating the mutual…

Information Theory · Computer Science 2014-05-20 R. Joshua Tobin , Conor J. Houghton

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…

Statistics Theory · Mathematics 2025-05-30 Jack Kendrick

This work proposes a framework LGKDE that learns kernel density estimation for graphs. The key challenge in graph density estimation lies in effectively capturing both structural patterns and semantic variations while maintaining…

Machine Learning · Computer Science 2026-05-27 Xudong Wang , Ziheng Sun , Chris Ding , Jicong Fan

Density estimation is a central task in statistics and machine learning. This problem aims to determine the underlying probability density function that best aligns with an observed data set. Some of its applications include statistical…

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…

Methodology · Statistics 2026-05-15 Torey Hilbert

Kernel ridge regression is used to approximate the kinetic energy of non-interacting fermions in a one-dimensional box as a functional of their density. The properties of different kernels and methods of cross-validation are explored, and…

Density estimation in high-dimensional settings is an important and challenging statistical problem.Traditional methods based on kernel smoothing are inefficient in high dimensions due to the difficulties in specifying appropriate…

Machine Learning · Statistics 2026-05-14 Ruitong Zhang , Ke Deng

This paper introduces the kernel mixture network, a new method for nonparametric estimation of conditional probability densities using neural networks. We model arbitrarily complex conditional densities as linear combinations of a family of…

Machine Learning · Statistics 2017-05-22 Luca Ambrogioni , Umut Güçlü , Marcel A. J. van Gerven , Eric Maris

Kernel Density Estimation is a very popular technique of approximating a density function from samples. The accuracy is generally well-understood and depends, roughly speaking, on the kernel decay and local smoothness of the true density.…

Statistics Theory · Mathematics 2019-01-03 Maciej Skorski

For a larger set of predictions of several differently trained machine learning models, known as bagging predictors, the mean of all predictions is taken by default. Nevertheless, this proceeding can deviate from the actual ground truth in…

Machine Learning · Computer Science 2026-04-07 Philipp Seitz , Jan Schmitt , Andreas Schiffler

Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations.…

Methodology · Statistics 2021-10-26 Xiaowu Dai , Lexin Li

In the present paper we introduce new optimization algorithms for the task of density ratio estimation. More precisely, we consider extending the well-known KMM method using the construction of a suitable loss function, in order to…

Machine Learning · Computer Science 2023-09-15 Cristian Daniel Alecsa

We propose a generalization of our previous KDE (kernel density estimation) method for estimating luminosity functions (LFs). This new upgrade further extend the application scope of our KDE method, making it a very flexible approach which…

Instrumentation and Methods for Astrophysics · Physics 2022-05-18 Zunli Yuan , Xibin Zhang , Jiancheng Wang , Xiangming Cheng , Wenjie Wang

Real-time density estimation is ubiquitous in many applications, including computer vision and signal processing. Kernel density estimation is arguably one of the most commonly used density estimation techniques, and the use of "sliding…

Machine Learning · Statistics 2023-11-13 Yinsong Wang , Yu Ding , Shahin Shahrampour

An important feature of kernel mean embeddings (KME) is that the rate of convergence of the empirical KME to the true distribution KME can be bounded independently of the dimension of the space, properties of the distribution and smoothness…

Statistics Theory · Mathematics 2025-04-17 Geoffrey Wolfer , Pierre Alquier

Many real-world applications generate continuous data streams for regression. Hoeffding trees and their variants have a long-standing tradition due to their effectiveness, either alone or as base models in broader ensembles. Recent…

Machine Learning · Computer Science 2026-03-06 Pantia-Marina Alchirch , Dimitrios I. Diochnos