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In this paper, we propose a Network-Weighted Functional Regression (NWFR) model, an extension of Spatially Weighted Functional Regression (SWFR) to functional data defined on network-structured settings. To asses predictive uncertainity, we…

Methodology · Statistics 2025-06-02 Elvira Romano , Antonio Irpino , Claire Miller

This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution…

Methodology · Statistics 2024-05-21 Alok Kumar Pandey , Alam Ali , Ashok Kumar Pathak

The general weighted cumulative residual extropy (GWCRJ) and general weighted cumulative past extropy (GWCPJ) are introduced in this paper. There are some results in relation to GWCPJ and GWCRJ. We take into account GWCRJ-based uncertainty…

Statistics Theory · Mathematics 2024-04-23 Santosh Kumar Chaudhary , Nitin Gupta

We are interested in renewable estimations and algorithms for nonparametric models with streaming data. In our method, the nonparametric function of interest is expressed through a functional depending on a weight function and a conditional…

Computation · Statistics 2023-11-27 Yan Chen , Shuixin Fang , Lu Lin

We develop a new goodness fit test for Rayleigh distribution for complete as well as right censored data. We use U-Statistic theory to derive the test statistic. First we develop a test for complete data and then discuss, how right censored…

Methodology · Statistics 2022-08-19 Vaisakh K. M. , Thomas Xavier , Sreedevi E. P

A unified formulation of the density functional theory is constructed on the foundations of entropic inference in both the classical and the quantum regimes. The theory is introduced as an application of entropic inference for inhomogeneous…

Statistical Mechanics · Physics 2021-12-20 Ahmad Yousefi

We study a process of generating random positive integer weight sequences $\{ W_n \}$ where the gaps between the weights $\{ X_n = W_n - W_{n-1} \}$ are i.i.d. positive integer-valued random variables. We show that as long as the gap…

Probability · Mathematics 2019-09-20 Erin Crossen Brown , Sevak Mkrtchyan , Jonathan Pakianathan

Well-trained classifiers and their complete weight distributions provide us with a well-motivated and practicable method to test generative networks in particle physics. We illustrate their benefits for distribution-shifted jets,…

High Energy Physics - Phenomenology · Physics 2024-01-31 Ranit Das , Luigi Favaro , Theo Heimel , Claudius Krause , Tilman Plehn , David Shih

Logistic regression is a natural and simple tool to understand how covariates contribute to explain the topology of a binary network. Once the model fitted, the practitioner is interested in the goodness-of-fit of the regression in order to…

Methodology · Statistics 2017-01-09 Pierre Latouche , Stéphane Robin , Sarah Ouadah

We develop a new type of generative autoencoder called the Goodness-of-Fit Autoencoder (GoFAE), which incorporates GoF tests at two levels. At the minibatch level, it uses GoF test statistics as regularization objectives. At a more global…

Machine Learning · Computer Science 2025-03-20 Aaron Palmer , Zhiyi Chi , Derek Aguiar , Jinbo Bi

We consider the problem of estimating the population probability distribution given a finite set of multivariate samples, using the maximum entropy approach. In strict keeping with Jaynes' original definition, our precise formulation of the…

Data Analysis, Statistics and Probability · Physics 2007-07-13 Sabbir Rahman , Mahbub Majumdar

The normal distribution has the unique property that the cumulant generating function has only two terms, namely those involving the mean and the variance. This property is used to construct a simple by using the log of the modulus of the…

Methodology · Statistics 2016-05-02 J. Martin van Zyl

Density estimation is a fundamental problem in both statistics and machine learning. In this study, we proposed Roundtrip as a general-purpose neural density estimator based on deep generative models. Roundtrip retains the generative power…

Machine Learning · Computer Science 2021-04-27 Qiao Liu , Jiaze Xu , Rui Jiang , Wing Hung Wong

Assessing disease severity with ordinal classes, where each class reflects increasing severity levels, benefits from loss functions designed for this ordinal structure. Traditional categorical loss functions, like Cross-Entropy (CE), often…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Gorkem Polat , Ümit Mert Çağlar , Alptekin Temizel

Weight-ensembles are formed when the parameters of multiple neural networks are directly averaged into a single model. They have demonstrated generalization capability in-distribution (ID) and out-of-distribution (OOD) which is not…

Machine Learning · Computer Science 2024-09-05 Alex Rojas , David Alvarez-Melis

It is important to properly correct for measurement error when estimating density functions associated with biomedical variables. These estimators that adjust for measurement error are broadly referred to as density deconvolution…

Methodology · Statistics 2018-06-06 Linh Nghiem , Cornelis J. Potgieter

In generalized extreme value model for the r largest order statistics, denoted by rGEV, the selection of r is critical. The existing entropy difference test for selecting r is applicable to large sample. Another existing method (the score…

Methodology · Statistics 2026-03-02 Yire Shin , Jihong Park , Jeong-Soo Park

In this paper, we propose a new metric to measure goodness-of-fit for classifiers, the Real World Cost function. This metric factors in information about a real world problem, such as financial impact, that other measures like accuracy or…

Machine Learning · Computer Science 2020-01-07 Yaoshiang Ho , Samuel Wookey

Transfer learning has gained significant attention in recent deep learning research due to its ability to accelerate convergence and enhance performance on new tasks. However, its success is often contingent on the similarity between source…

Machine Learning · Computer Science 2024-10-28 Bedionita Soro , Bruno Andreis , Hayeon Lee , Wonyong Jeong , Song Chong , Frank Hutter , Sung Ju Hwang

Uncertainty reduction is vital for improving system reliability and reducing risks. To identify the best target for uncertainty reduction, uncertainty importance measure is commonly used to prioritize the significance of input variable…

Applications · Statistics 2025-06-12 Shi-Shun Chen , Xiao-Yang Li