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Nonparametric density estimation for compositional data supported on the simplex is examined under a missing at random mechanism. Rather than imputing missing values and estimating the density from a completed data set, we adopt a strategy…

统计方法学 · 统计学 2026-03-10 Hanen Daayeb , Wissem Jedidi , Salah Khardani , Guanjie Lyu , Frédéric Ouimet

Data imputation, the process of filling in missing feature elements for incomplete data sets, plays a crucial role in data-driven learning. A fundamental belief is that data imputation is helpful for learning performance, and it follows…

机器学习 · 计算机科学 2025-09-30 Ruikai Yang , Fan He , Mingzhen He , Kaijie Wang , Xiaolin Huang

We propose a non-parametric anomaly detection algorithm for high dimensional data. We score each datapoint by its average $K$-NN distance, and rank them accordingly. We then train limited complexity models to imitate these scores based on…

机器学习 · 计算机科学 2015-02-09 Jing Qian , Jonathan Root , Venkatesh Saligrama

We propose a general Bayesian nonparametric (BNP) approach to causal inference in the point treatment setting. The joint distribution of the observed data (outcome, treatment, and confounders) is modeled using an enriched Dirichlet process.…

统计方法学 · 统计学 2017-03-01 Jason Roy , Kirsten J Lum , Michael J. Daniels , Bret Zeldow , Jordan Dworkin , Vincent Lo Re

A new method is proposed for fitting non-relativistic binary-scattering data and for extracting the parameters of possible quantum resonances in the compound system that is formed during the collision. The method combines the well-known…

量子物理 · 物理学 2025-04-17 P. Vaandrager , M. L. Lekala , S. A. Rakityansky

The measure of Jensen-Fisher divergence between probability distributions is introduced and its theoretical grounds set up. This quantity, in contrast to the remaining Jensen divergences, is very sensitive to the fluctuations of the…

信息论 · 计算机科学 2013-01-08 P. Sánchez-Moreno , A. Zarzo , J. S. Dehesa

This paper introduces a novel paradigm to impute missing data that combines a decision tree with an auto-associative neural network (AANN) based model and a principal component analysis-neural network (PCA-NN) based model. For each model,…

应用统计 · 统计学 2007-09-12 George Ssali , Tshilidzi Marwala

Missing data are frequently encountered in high-dimensional problems, but they are usually difficult to deal with using standard algorithms, such as the expectation-maximization (EM) algorithm and its variants. To tackle this difficulty,…

统计方法学 · 统计学 2018-02-08 Faming Liang , Bochao Jia , Jingnan Xue , Qizhai Li , Ye Luo

The self-organizing map is an unsupervised neural network which is widely used for data visualisation and clustering in the field of chemometrics. The classical Kohonen algorithm that computes self-organizing maps is suitable only for…

统计方法学 · 统计学 2023-02-14 Sara Rejeb , Catherine Duveau , Tabea Rebafka

Imputation of missing values is a strategy for handling non-responses in surveys or data loss in measurement processes, which may be more effective than ignoring them. When the variable represents a count, the literature dealing with this…

应用统计 · 统计学 2020-07-31 Gilma Hernández-Herrera , Albert Navarro , David Moriña

In many application settings, the data have missing entries which make analysis challenging. An abundant literature addresses missing values in an inferential framework: estimating parameters and their variance from incomplete tables. Here,…

机器学习 · 统计学 2024-03-22 Julie Josse , Jacob M. Chen , Nicolas Prost , Erwan Scornet , Gaël Varoquaux

In order to predict and fill in the gaps in categorical datasets, this research looked into the use of machine learning algorithms. The emphasis was on ensemble models constructed using the Error Correction Output Codes framework, including…

机器学习 · 计算机科学 2024-09-13 Muhammad Ishaq , Sana Zahir , Laila Iftikhar , Mohammad Farhad Bulbul , Seungmin Rho , Mi Young Lee

This article introduces a k-Inflated Negative Binomial mixture distribution/regression model as a more flexible alternative to zero-inflated Poisson distribution/regression model. An EM algorithm has been employed to estimate the model's…

统计方法学 · 统计学 2017-01-20 Amir T. Payandeh Najafabadi , Saeed MohammadPour

Classical high-order weighted essentially non-oscillatory (WENO) schemes are designed to achieve optimal convergence order for smooth solutions and to maintain non-oscillatory behaviors for discontinuities. However, their spectral…

数值分析 · 数学 2025-08-20 Jinrui Zhou , Yiqi Gu , Song Jiang , Hua Shen , Liwei Xu , Guanyu Zhou

We propose a wavelet-based technique for the nonparametric estimation of functions contaminated with noise whose mean and variance are linked via a possibly unknown variance function. Our method, termed the data-driven wavelet-Fisz…

统计理论 · 数学 2008-10-02 Piotr Fryzlewicz

Estimating density functionals of analog sources is an important problem in statistical signal processing and information theory. Traditionally, estimating these quantities requires either making parametric assumptions about the underlying…

信息论 · 计算机科学 2017-05-19 Alan Wisler , Kevin Moon , Visar Berisha

Bayesian nonparametric (BNP) models provide elegant methods for discovering underlying latent features within a data set, but inference in such models can be slow. We exploit the fact that completely random measures, which commonly used…

机器学习 · 统计学 2020-07-17 Avinava Dubey , Michael Minyi Zhang , Eric P. Xing , Sinead A. Williamson

Accurate noise modelling is important for training of deep learning reconstruction algorithms. While noise models are well known for traditional imaging techniques, the noise distribution of a novel sensor may be difficult to determine a…

机器学习 · 计算机科学 2018-07-11 Felix Horger , Tobias Würfl , Vincent Christlein , Andreas Maier

We propose a non-parametric anomaly detection algorithm for high dimensional data. We first rank scores derived from nearest neighbor graphs on $n$-point nominal training data. We then train limited complexity models to imitate these scores…

机器学习 · 统计学 2016-01-25 Jonathan Root , Venkatesh Saligrama , Jing Qian

In this paper, we examine the problem of missing data in high-dimensional datasets by taking into consideration the Missing Completely at Random and Missing at Random mechanisms, as well as theArbitrary missing pattern. Additionally, this…

人工智能 · 计算机科学 2016-07-04 Collins Leke , Tshilidzi Marwala