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With the increase of data in day-to-day life, businesses and different stakeholders need to analyze the data for better predictions. Traditionally, relational data has been a source of various insights, but with the increase in…

Machine Learning · Computer Science 2025-11-11 Anuj Kumar Sirohi , Subhanu Halder , Kabir Kumar , Sandeep Kumar

We propose a family of tests to assess the goodness-of-fit of a high-dimensional generalized linear model. Our framework is flexible and may be used to construct an omnibus test or directed against testing specific non-linearities and…

Methodology · Statistics 2019-11-14 Jana Janková , Rajen D. Shah , Peter Bühlmann , Richard J. Samworth

Gaussian Graphical Models provide a convenient framework for representing dependencies between variables. Recently, this tool has received a high interest for the discovery of biological networks. The literature focuses on the case where a…

Methodology · Statistics 2010-05-13 Julien Chiquet , Yves Grandvalet , Christophe Ambroise

A typical result in graph theory says that a graph $G$, satisfying certain conditions, has some property $\cal P$. Once such a theorem is established, it is natural to ask how strongly $G$ satisfies $\cal P$. Can one strengthen the result…

Combinatorics · Mathematics 2016-11-14 Benny Sudakov

Probabilistic generative models of graphs are important tools that enable representation and sampling. Many recent works have created probabilistic models of graphs that are capable of representing not only entity interactions but also…

Machine Learning · Computer Science 2023-08-09 Pablo Robles-Granda , Katherine Tsai , Oluwasanmi Koyejo

Generalized additive models (GAMs, Hastie & Tibshirani, 1990; Wood, 2017) are an extension of the generalized linear model that allows the effects of covariates to be modelled as smooth functions. GAMs are increasingly used in many areas of…

Computation · Statistics 2024-12-24 Gavin L. Simpson

Nonstationarity in spatial and spatio-temporal processes is ubiquitous in environmental datasets, but is not often addressed in practice, due to a scarcity of statistical software packages that implement nonstationary models. In this…

Computation · Statistics 2025-12-10 Quan Vu , Xuanjie Shao , Raphaël Huser , Andrew Zammit-Mangion

Graphical models provide powerful tools to uncover complicated patterns in multivariate data and are commonly used in Bayesian statistics and machine learning. In this paper, we introduce the R package BDgraph which performs Bayesian…

Machine Learning · Statistics 2019-05-14 Reza Mohammadi , Ernst C. Wit

The prevailing graph neural network models have achieved significant progress in graph representation learning. However, in this paper, we uncover an ever-overlooked phenomenon: the pre-trained graph representation learning model tested…

Machine Learning · Computer Science 2023-02-14 Hang Gao , Jiangmeng Li , Wenwen Qiang , Lingyu Si , Bing Xu , Changwen Zheng , Fuchun Sun

Graphical Gaussian models have proven to be useful tools for exploring network structures based on multivariate data. Applications to studies of gene expression have generated substantial interest in these models, and resulting recent…

Machine Learning · Computer Science 2014-08-12 Michael A. Finegold , Mathias Drton

This paper presents the R package gRapHD for efficient selection of high-dimensional undirected graphical models. The package provides tools for selecting trees, forests and decomposable models minimizing information criteria such as AIC or…

Machine Learning · Statistics 2019-09-24 Gabriel C. G. de Abreu , Rodrigo Labouriau , David Edwards

Graphical models are powerful tools to investigate complex dependency structures in high-throughput datasets. However, most existing graphical models make one of the two canonical assumptions: (i) a homogeneous graph with a common network…

Methodology · Statistics 2023-10-31 Tsung-Hung Yao , Yang Ni , Anindya Bhadra , Jian Kang , Veerabhadran Baladandayuthapani

Gaussian process fitting, or kriging, is often used to create a model from a set of data. Many available software packages do this, but we show that very different results can be obtained from different packages even when using the same…

Computation · Statistics 2017-10-10 Collin B. Erickson , Bruce E. Ankenman , Susan M. Sanchez

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

Machine Learning · Statistics 2016-03-10 Umamahesh Srinivas

This study presents application examples of generalized spatial regression modeling for count data and continuous non-Gaussian data using the spmoran package (version 0.2.2 onward). Section 2 introduces the model. The subsequent sections…

Applications · Statistics 2021-09-15 Daisuke Murakami

An approximate formulation of a robust geometric program (RGP) as a convex program is proposed. Interest in using geometric programs (GPs) to model complex engineering systems has been growing, and this has motivated explicitly modeling the…

Optimization and Control · Mathematics 2018-08-23 Ali Saab , Edward Burnell , Warren W. Hoburg

Using particle-scale models to accurately describe property enhancements and phase transitions in macroscopic behavior is a major engineering challenge in composite materials science. To address some of these challenges, we use the graph…

Disordered Systems and Neural Networks · Physics 2018-09-12 Samuel Heroy , Dane Taylor , Feng Shi , M. Gregory Forest , Peter J. Mucha

This article introduces GuessCompx which is an R package that performs an empirical estimation on the time and memory complexities of an algorithm or a function. It tests multiple increasing-sizes samples of the user's data and attempts to…

Data Structures and Algorithms · Computer Science 2020-10-22 Marc Agenis-Nevers , Neeraj Dhanraj Bokde , Zaher Mundher Yaseen , Mayur Shende

We present the results of a large number of simulation studies regarding the power of various goodness-of-fit as well as nonparametric two-sample tests for univariate data. This includes both continuous and discrete data. In general no…

Methodology · Statistics 2024-11-13 Wolfgang Rolke

Robust estimation provides essential tools for analyzing data that contain outliers, ensuring that statistical models remain reliable even in the presence of some anomalous data. While robust methods have long been available in R, users of…

Computation · Statistics 2024-11-05 Sarah Leyder , Jakob Raymaekers , Peter J. Rousseeuw , Thomas Servotte , Tim Verdonck