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Background: A wide range of diseases show some degree of clustering in families; family history is therefore an important aspect for clinicians when making risk predictions. Familial aggregation is often quantified in terms of a familial…

应用统计 · 统计学 2018-01-31 Morten Valberg , Mats Julius Stensrud , Odd O. Aalen

The estimation of the potential impact fraction (including the population attributable fraction) with continuous exposure data frequently relies on strong distributional assumptions. However, these assumptions are often violated if the…

Traditional approaches to variational inference rely on parametric families of variational distributions, with the choice of family playing a critical role in determining the accuracy of the resulting posterior approximation. Simple…

机器学习 · 统计学 2023-09-27 Martin Jankowiak , Du Phan

This work provides a theoretical framework for assessing the generalization error of graph neural networks in the over-parameterized regime, where the number of parameters surpasses the quantity of data points. We explore two widely…

机器学习 · 统计学 2024-07-02 Gholamali Aminian , Yixuan He , Gesine Reinert , Łukasz Szpruch , Samuel N. Cohen

Random forests are a widely used machine learning algorithm, but their computational efficiency is undermined when applied to large-scale datasets with numerous instances and useless features. Herein, we propose a nonparametric feature…

机器学习 · 计算机科学 2022-01-19 Xiaojun Mao , Liuhua Peng , Zhonglei Wang

With the wide adoption of functional magnetic resonance imaging (fMRI) by cognitive neuroscience researchers, large volumes of brain imaging data have been accumulated in recent years. Aggregating these data to derive scientific insights…

应用统计 · 统计学 2020-06-01 Ming Bo Cai , Michael Shvartsman , Anqi Wu , Hejia Zhang , Xia Zhu

We propose a non-parametric regression methodology, Random Forests on Distance Matrices (RFDM), for detecting genetic variants associated to quantitative phenotypes representing the human brain's structure or function, and obtained using…

机器学习 · 统计学 2013-09-25 Aaron Sim , Dimosthenis Tsagkrasoulis , Giovanni Montana

This paper addresses classification problems with matrix-valued data, which commonly arise in applications such as neuroimaging and signal processing. Building on the assumption that the data from each class follows a matrix normal…

统计方法学 · 统计学 2025-12-18 Seungyeon Oh , Seongoh Park , Hoyoung Park

Inverse Ising inference allows pairwise interactions of complex binary systems to be reconstructed from empirical correlations. Typical estimators used for this inference, such as Pseudo-likelihood maximization (PLM), are biased. Using the…

无序系统与神经网络 · 物理学 2023-07-19 Maximilian Benedikt Kloucek , Thomas Machon , Shogo Kajimura , C. Patrick Royall , Naoki Masuda , Francesco Turci

Combining machine learning with econometric analysis is becoming increasingly prevalent in both research and practice. A common empirical strategy involves the application of predictive modeling techniques to 'mine' variables of interest…

计量经济学 · 经济学 2020-12-22 Mochen Yang , Edward McFowland , Gordon Burtch , Gediminas Adomavicius

It is well known that the minimax rates of convergence of nonparametric density and regression function estimation of a random variable measured with error is much slower than the rate in the error free case. Surprisingly, we show that if…

统计理论 · 数学 2019-08-21 Fei Jiang , Yanyuan Ma , Raymond J. Carroll

Linear regression is a fundamental and popular statistical method. There are various kinds of linear regression, such as mean regression and quantile regression. In this paper, we propose a new one called distribution regression, which…

统计方法学 · 统计学 2017-12-27 Xin Chen , Xuejun Ma , Wang Zhou

In this review, we present econometric and statistical methods for analyzing randomized experiments. For basic experiments we stress randomization-based inference as opposed to sampling-based inference. In randomization-based inference,…

统计方法学 · 统计学 2017-10-26 Susan Athey , Guido Imbens

We propose a nonparametric framework for the analysis of networks, based on a natural limit object termed a graphon. We prove consistency of graphon estimation under general conditions, giving rates which include the important practical…

统计理论 · 数学 2013-09-30 Patrick J. Wolfe , Sofia C. Olhede

We consider the problem of estimating the parameters in a pairwise graphical model in which the distribution of each node, conditioned on the others, may have a different parametric form. In particular, we assume that each node's…

统计方法学 · 统计学 2014-08-05 Shizhe Chen , Daniela Witten , Ali Shojaie

Evidence theory is widely used in decision-making and reasoning systems. In previous research, Transferable Belief Model (TBM) is a commonly used evidential decision making model, but TBM is a non-preference model. In order to better fit…

人工智能 · 计算机科学 2024-03-12 Tianxiang Zhan , Zhen Li , Yong Deng

The theory of random graphs is being applied in recent years to model neural interactions in the brain. While the probabilistic properties of random graphs has been extensively studied in the literature, the development of statistical…

应用统计 · 统计学 2015-04-27 Andressa Cerqueira , Daniel Fraiman , Claudia D. Vargas , Florencia Leonardi

Evaluation of generative models is mostly based on the comparison between the estimated distribution and the ground truth distribution in a certain feature space. To embed samples into informative features, previous works often use…

机器学习 · 计算机科学 2022-12-15 Junghyuk Lee , Jun-Hyuk Kim , Jong-Seok Lee

Purpose: To develop neural network (NN)-based quantitative MRI parameter estimators with minimal bias and a variance close to the Cram\'er-Rao bound. Theory and Methods: We generalize the mean squared error loss to control the bias and…

医学物理 · 物理学 2024-05-07 Andrew Mao , Sebastian Flassbeck , Jakob Assländer

We propose a novel approach for density estimation with exponential families for the case when the true density may not fall within the chosen family. Our approach augments the sufficient statistics with features designed to accumulate…

机器学习 · 统计学 2012-09-07 Lin Yuan , Sergey Kirshner , Robert Givan