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This paper develops forecasting methodology and application of new classes of dynamic models for time series of non-negative counts. Novel univariate models synthesise dynamic generalized linear models for binary and conditionally Poisson…

统计方法学 · 统计学 2022-06-07 Lindsay Berry , Mike West

This paper introduces a novel Transformed Primal-Dual with variable-metric/preconditioner (TPDv) algorithm, designed to efficiently solve affine constrained optimization problems common in nonlinear partial differential equations (PDEs).…

数值分析 · 数学 2023-12-20 Long Chen , Ruchi Guo , Jingrong Wei

Uncertainty quantification using Bayesian methods is a growing area of research. Bayesian model mixing (BMM) is a recent development which combines the predictions from multiple models such that each model's best qualities are preserved in…

核理论 · 物理学 2023-11-01 Kevin Ingles , Dananjaya Liyanage , Alexandra C. Semposki , John C. Yannotty

We study data-driven decision-making problems in the Bayesian framework, where the expectation in the Bayes risk is replaced by a risk-sensitive entropic risk measure. We focus on problems where calculating the posterior distribution is…

最优化与控制 · 数学 2021-09-13 Prateek Jaiswal , Harsha Honnappa , Vinayak A. Rao

Forecasting techniques for assessing the power of future experiments to discriminate between theories or discover new laws of nature are of great interest in many areas of science. In this paper, we introduce a Bayesian forecasting method…

数据分析、统计与概率 · 物理学 2024-09-24 Mohammad Hossein Namjoo

Time series forecasting has become an increasingly popular research area due to its critical applications in various real-world domains such as traffic management, weather prediction, and financial analysis. Despite significant…

机器学习 · 计算机科学 2024-08-22 Ninghui Feng , Songning Lai , Jiayu Yang , Fobao Zhou , Zhenxiao Yin , Hang Zhao

Variational dimensionality reduction methods are widely used for their accuracy, generative capabilities, and robustness. We introduce a unifying framework that generalizes both such as traditional and state-of-the-art methods. The…

机器学习 · 计算机科学 2025-09-04 Eslam Abdelaleem , Ilya Nemenman , K. Michael Martini

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

数据分析、统计与概率 · 物理学 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

One can improve predictability in the unknown domain by combining forecasts of imperfect complex computational models using a Bayesian statistical machine learning framework. In many cases, however, the models used in the mixing process are…

核理论 · 物理学 2024-08-21 Pablo Giuliani , Kyle Godbey , Vojtech Kejzlar , Witold Nazarewicz

Forecasting in probabilistic time series is a complex endeavor that extends beyond predicting future values to also quantifying the uncertainty inherent in these predictions. Gaussian process regression stands out as a Bayesian machine…

Predicting the remaining useful life of machinery, infrastructure, or other equipment can facilitate preemptive maintenance decisions, whereby a failure is prevented through timely repair or replacement. This allows for a better decision…

机器学习 · 计算机科学 2019-07-22 Mathias Kraus , Stefan Feuerriegel

Real-world time series exhibit temporally structured uncertainty: volatility clusters in turbulent regimes, dissipates in stable periods, and shifts abruptly around structural breaks. Yet many probabilistic forecasting methods estimate…

机器学习 · 计算机科学 2026-05-26 Yijun Wang , Qiyuan Zhuang , Xiu-Shen Wei

The expected growth in wind energy capacity requires efficient and accurate models for wind farm layout optimization, control, and annual energy predictions. Although analytical wake models are widely used for these applications, several…

流体动力学 · 物理学 2023-02-16 Frederik Aerts , Luca Lanzilao , Johan Meyers

In stochastic variational inference, the variational Bayes objective function is optimized using stochastic gradient approximation, where gradients computed on small random subsets of data are used to approximate the true gradient over the…

统计方法学 · 统计学 2015-10-19 Linda S. L. Tan , David J. Nott

We introduce a multiple criteria Bayesian preference learning framework incorporating behavioral cues for decision aiding. The framework integrates pairwise comparisons, response time, and attention duration to deepen insights into…

应用统计 · 统计学 2025-04-22 Jiaxuan Jiang , Jiapeng Liu , Miłosz Kadziński , Xiuwu Liao , Jingyu Dong

We take a new look at the problem of disentangling the volatility and jumps processes of daily stock returns. We first provide a computational framework for the univariate stochastic volatility model with Poisson-driven jumps that offers a…

统计金融 · 定量金融 2021-04-30 Angelos Alexopoulos , Petros Dellaportas , Omiros Papaspiliopoulos

Medical time series datasets feature missing values that need data imputation methods, however, conventional machine learning models fall short due to a lack of uncertainty quantification in predictions. Among these models, the CATSI…

机器学习 · 计算机科学 2024-10-07 Omkar Kulkarni , Rohitash Chandra

Recently, deep matrix factorization has been established as a powerful model for unsupervised tasks, achieving promising results, especially for multi-view clustering. However, existing methods often lack effective feature selection…

机器学习 · 统计学 2024-12-04 Yasser Khalafaoui , Basarab Matei , Martino Lovisetto , Nistor Grozavu

In variety testing, multi-environment trials (MET) are essential for evaluating the genotypic performance of crop plants. A persistent challenge in the statistical analysis of MET data is the estimation of variance components, which are…

统计方法学 · 统计学 2026-04-20 Stephan Bark , Waqas Ahmed Malik , Maryna Prus , Hans-Peter Piepho , Volker Schmid

Pre-trained foundation models (FMs) have shown exceptional performance in univariate time series forecasting tasks. However, several practical challenges persist, including managing intricate dependencies among features and quantifying…