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This paper introduces Mixed Effect Gradient Boosting (MEGB), which combines the strengths of Gradient Boosting with Mixed Effects models to address complex, hierarchical data structures often encountered in statistical analysis. The…

统计方法学 · 统计学 2025-01-22 Paul Messer , Timo Schmid

The geographically weighted regression (GWR) is an essential tool for estimating the spatial variation of relationships between dependent and independent variables in geographical contexts. However, GWR suffers from the problem that…

机器学习 · 计算机科学 2022-12-16 Han Wang , Zhou Huang , Ganmin Yin , Yi Bao , Xiao Zhou , Yong Gao

Computing smoothing distributions, the distributions of one or more states conditional on past, present, and future observations is a recurring problem when operating on general hidden Markov models. The aim of this paper is to provide a…

概率论 · 数学 2012-02-15 Randal Douc , Aurélien Garivier , Eric Moulines , Jimmy Olsson

Gradient matching is a promising tool for learning parameters and state dynamics of ordinary differential equations. It is a grid free inference approach, which, for fully observable systems is at times competitive with numerical…

机器学习 · 统计学 2018-04-11 Nico S. Gorbach , Stefan Bauer , Joachim M. Buhmann

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

统计方法学 · 统计学 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

Density tempering (also called density annealing) is a sequential Monte Carlo approach to Bayesian inference for general state models; it is an alternative to Markov chain Monte Carlo. When applied to state space models, it moves a…

统计方法学 · 统计学 2022-04-05 David Gunawan , Robert Kohn , Minh Ngoc Tran

Motivated by reduction of computational complexity, this work develops sign-error adaptive filtering algorithms for estimating time-varying system parameters. Different from the previous work on sign-error algorithms, the parameters are…

最优化与控制 · 数学 2016-11-17 Araz Hashemi , G. Yin , Le Yi Wang

This paper investigates the role of high-dimensional information sets in the context of Markov switching models with time varying transition probabilities. Markov switching models are commonly employed in empirical macroeconomic research…

计量经济学 · 经济学 2019-05-07 Gregor Zens , Maximilian Böck

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

机器学习 · 计算机科学 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

Forecasting tasks using large datasets gathering thousands of heterogeneous time series is a crucial statistical problem in numerous sectors. The main challenge is to model a rich variety of time series, leverage any available external…

机器学习 · 计算机科学 2024-04-18 Etienne David , Jean Bellot , Sylvain Le Corff

We present generalized additive latent and mixed models (GALAMMs) for analysis of clustered data with responses and latent variables depending smoothly on observed variables. A scalable maximum likelihood estimation algorithm is proposed,…

统计方法学 · 统计学 2023-03-29 Øystein Sørensen , Anders M. Fjell , Kristine B. Walhovd

We propose a novel framework for analyzing the dynamics of distribution shift in real-world systems that captures the feedback loop between learning algorithms and the distributions on which they are deployed. Prior work largely models…

机器学习 · 计算机科学 2023-10-31 Lauren Conger , Franca Hoffmann , Eric Mazumdar , Lillian Ratliff

Accurate mid-term (weeks to one year) hourly electricity load forecasts are essential for strategic decision-making in power plant operation, ensuring supply security and grid stability, planning and building energy storage systems, and…

应用统计 · 统计学 2025-05-01 Monika Zimmermann , Florian Ziel

Capturing complex dependence structures between outcome variables (e.g., study endpoints) is of high relevance in contemporary biomedical data problems and medical research. Distributional copula regression provides a flexible tool to model…

统计方法学 · 统计学 2022-02-28 Nicolai Hans , Nadja Klein , Florian Faschingbauer , Michael Schneider , Andreas Mayr

Switching dynamical systems are an expressive model class for the analysis of time-series data. As in many fields within the natural and engineering sciences, the systems under study typically evolve continuously in time, it is natural to…

机器学习 · 计算机科学 2022-05-19 Lukas Köhs , Bastian Alt , Heinz Koeppl

This paper proposes a unified class of generalized location-scale mixture of multivariate elliptical distributions and studies integral stochastic orderings of random vectors following such distributions. Given a random vector…

统计理论 · 数学 2023-02-28 Tong Pu , Yiying Zhang , Chuancun Yin

Nowadays, weather forecasts are commonly generated by ensemble forecasts based on multiple runs of numerical weather prediction models. However, such forecasts are usually miscalibrated and/or biased, thus require statistical…

应用统计 · 统计学 2024-12-13 David Jobst

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

机器学习 · 统计学 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

Spatial prediction is commonly achieved under the assumption of a Gaussian random field (GRF) by obtaining maximum likelihood estimates of parameters, and then using the kriging equations to arrive at predicted values. For massive datasets,…

统计方法学 · 统计学 2021-07-20 Karl T. Pazdernik , Ranjan Maitra

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

化学物理 · 物理学 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe