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Ensemble forecasting of nonlinear systems involves the use of a model to run forward a discrete ensemble (or set) of initial states. Data assimilation techniques tend to focus on estimating the true state of the system, even though model…

Chaotic Dynamics · Physics 2012-07-19 Reason L. Machete , Irene M. Moroz

Tensor-based discrete density estimation requires flexible modeling and proper divergence criteria to enable effective learning; however, traditional approaches using $\alpha$-divergence face analytical challenges due to the $\alpha$-power…

Machine Learning · Statistics 2025-05-26 Kazu Ghalamkari , Jesper Løve Hinrich , Morten Mørup

Tensor networks are a tool first employed in the context of many-body quantum physics that now have a wide range of uses across the computational sciences, from numerical methods to machine learning. Methods integrating tensor networks into…

Machine Learning · Computer Science 2026-04-27 John Gardiner , Javier Lopez-Piqueres

The linear coefficient in a partially linear model with confounding variables can be estimated using double machine learning (DML). However, this DML estimator has a two-stage least squares (TSLS) interpretation and may produce overly wide…

Methodology · Statistics 2022-01-03 Corinne Emmenegger , Peter Bühlmann

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

Methodology · Statistics 2013-03-07 Cinzia Viroli

The task of state estimation in active distribution systems faces a major challenge due to the integration of different measurements with multiple reporting rates. As a result, distribution systems are essentially unobservable in real time,…

Optimization and Control · Mathematics 2024-05-13 J. G. De la Varga , S. Pineda , J. M. Morales , Á. Porras

We contribute a general and flexible framework to estimate the size of a closed population in the presence of $K$ capture-recapture lists and heterogeneous capture probabilities. Our novel identifying strategy leverages the fact that it is…

Methodology · Statistics 2024-07-08 Mateo Dulce Rubio , Edward Kennedy

A method that uses order statistics to construct multivariate distributions with fixed marginals and which utilizes a representation of the Bernstein copula in terms of a finite mixture distribution is proposed. Expectation-maximization…

Computation · Statistics 2014-01-16 Xiaoling Dou , Satoshi Kuriki , Gwo Dong Lin , Donald Richards

In this paper, we will discuss how to generalize nonparametric density estimators to MLE parametric estimators. Basing on the Parzen window theory and using the advantages of probability amplitude of quantum theory, we model a nonlinear…

Statistics Theory · Mathematics 2008-11-13 Yeong-Shyeong Tsai

Log-linear models are a family of probability distributions which capture relationships between variables. They have been proven useful in a wide variety of fields such as epidemiology, economics and sociology. The interest in using these…

Machine Learning · Computer Science 2022-12-29 Jan Strappa , Facundo Bromberg

In this paper we adapt online estimation strategies to perform model-based clustering on large networks. Our work focuses on two algorithms, the first based on the SAEM algorithm, and the second on variational methods. These two strategies…

Applications · Statistics 2010-11-11 Hugo Zanghi , Franck Picard , Vincent Miele , Christophe Ambroise

Population size estimation based on capture-recapture experiment under triple record system is an interesting problem in various fields including epidemiology, population studies, etc. In many real life scenarios, there exists inherent…

Methodology · Statistics 2022-01-04 Kiranmoy Chatterjee , Prajamitra Bhuyan

This paper proposes a distributed pseudo-likelihood method (DPL) to conveniently identify the community structure of large-scale networks. Specifically, we first propose a block-wise splitting method to divide large-scale network data into…

Methodology · Statistics 2024-11-05 Jiayi Deng , Danyang Huang , Bo Zhang

Energy detector (ED) is a popular choice for distributed cooperative spectrum sensing because it does not need to be cognizant of the primary user (PU) signal characteristics. However, the conventional ED-based sensing usually requires…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Mohammed Rashid , Jeffrey A. Nanzer

The rapid adoption of deep learning has increasingly led to data-driven models replacing classical model-based algorithms, even in domains governed by well-understood physical laws. While data-driven models, such as long short-term memory…

Machine Learning · Computer Science 2026-05-20 Sooraj Sunil , Balakumar Balasingam

Maximum likelihood estimation is effective for identifying dynamical systems, but applying it to large networks becomes computationally prohibitive. This paper introduces a maximum likelihood estimation method that enables identification of…

Systems and Control · Electrical Eng. & Systems 2025-11-06 João Victor Galvão da Mata , Anders Hansson , Martin S. Andersen

In this article we perform an asymptotic analysis of parallel Bayesian logspline density estimators. Such estimators are useful for the analysis of datasets that are partitioned into subsets and stored in separate databases without the…

Statistics Theory · Mathematics 2023-07-18 Konstandinos Kotsiopoulos , Alexey Miroshnikov , Erin Conlon

Regression analysis with missing data is a long-standing and challenging problem, particularly when there are many missing variables with arbitrary missing patterns. Likelihood-based methods, although theoretically appealing, are often…

Methodology · Statistics 2024-10-16 Ngok Sang Kwok , Kin Yau Wong

Computer vision techniques have been used to produce accurate and generic crowd count estimators in recent years. Due to severe occlusions, appearance variations, perspective distortions and illumination conditions, crowd counting is a very…

Computer Vision and Pattern Recognition · Computer Science 2017-10-27 Haiyan Yao , Kang Han , Wanggen Wan , Li Hou

We present a method to generate contingency tables that follow loglinear models with prescribed marginal probabilities and dependence structures. We make use of (loglinear) Poisson regression, where the dependence structures, described…

Methodology · Statistics 2024-06-18 Ceejay Hammond , Peter G. M. van der Heijden , Paul A. Smith