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For complex latent variable models, the likelihood function is not available in closed form. In this context, a popular method to perform parameter estimation is Importance Weighted Variational Inference. It essentially maximizes the…

Statistics Theory · Mathematics 2025-01-16 Badr-Eddine Cherief-Abdellatif , Randal Douc , Arnaud Doucet , Hugo Marival

Catastrophic regime shifts in complex natural systems may be averted through advanced detection. Recent work has provided a proof-of-principle that many systems approaching a catastrophic transition may be identified through the lens of…

Other Quantitative Biology · Quantitative Biology 2012-04-30 Carl Boettiger , Alan Hastings

Data taken from observations of the natural world or laboratory measurements often depend on parameters which can vary in unexpected ways. In this paper we demonstrate how machine learning can be leveraged to detect changes in global…

Fluid Dynamics · Physics 2021-11-25 Logan M. Kageorge , Roman O. Grigoriev , Michael F. Schatz

In this paper, a new reliability model has been developed for a single system degrading stochastically which experiences soft and hard failure. Soft failure occurs when the physical deterioration level of the system is greater than a…

Statistics Theory · Mathematics 2019-03-04 Nooshin Yousefi , David W. Coit

The robustness of Vision Language Models (VLMs) is commonly assessed through output-level invariance, implicitly assuming that stable predictions reflect stable multimodal processing. In this work, we argue that this assumption is…

We consider a three-level meta-analysis of standardized mean differences. The standard method of estimation uses inverse-variance weights and REML/PL estimation of variance components for the random effects. We introduce new moment-based…

Methodology · Statistics 2024-11-05 Elena Kulinskaya , David C. Hoaglin

In this paper we estimate the first-order sensitivity index of random variables within a model by reconstructing the embedding manifold of a two-dimensional cloud point. The model assumed has p predictors and a continuous outcome Y . Our…

Statistics Theory · Mathematics 2020-12-11 Alberto J Hernández , Maikol Solís , Ronald A. Zúñiga-Rojas

Understanding the application resilience in the presence of faults is critical to address the HPC resilience challenge. Currently, we largely rely on random fault injection (RFI) to quantify the application resilience. However, RFI provides…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-02 Luanzheng Guo , Hanlin He , Dong Li

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

Methodology · Statistics 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

Causal effect estimation relies on separating the variation in the outcome into parts due to the treatment and due to the confounders. To achieve this separation, practitioners often use external sources of randomness that only influence…

Machine Learning · Computer Science 2021-02-03 Aahlad Manas Puli , Rajesh Ranganath

Neural networks used for multi-interaction trajectory reconstruction lack the ability to estimate the uncertainty in their outputs, which would be useful to better analyse and understand the systems they model. In this paper we extend the…

Machine Learning · Computer Science 2020-06-26 Vasileios Karavias , Ben Day , Pietro Liò

We consider universal inference in variance components models, focusing on settings where the parameter is near or at the boundary of the parameter set. Two cases, which are not handled by existing state-of-the-art methods, are of…

Methodology · Statistics 2025-09-03 Yiqiao Zhang , Karl Oskar Ekvall , Aaron J. Molstad

Redundant architectures can improve the reliability of complex systems. However, component dependencies can affect the architecture and negate the benefit of redundancy. In this paper, we develop three component dependency models and…

Applications · Statistics 2024-02-29 Tim Maurice Julitz , Antoine Tordeux , Nadine Schlüter , Manuel Löwer

The problem of estimating trend and seasonal variation in time-series data has been studied over several decades, although mostly using single time series. This paper studies the problem of estimating these components from functional data,…

Applications · Statistics 2017-04-25 Liang-Hsuan Tai , Anuj Srivastava , Kyle A. Gallivan

In many macroeconomic applications, confidence intervals for impulse responses are constructed by estimating VAR models in levels - ignoring cointegration rank uncertainty. We investigate the consequences of ignoring this uncertainty. We…

Econometrics · Economics 2019-10-08 Lenard Lieb , Stephan Smeekes

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

Experimentation platforms in industry must often deal with customer trust issues. Platforms must prove the validity of their claims as well as catch issues that arise. As a central quantity estimated by experimentation platforms, the…

Methodology · Statistics 2025-11-21 Kedar Karhadkar , Jack Klys , Daniel Ting , Artem Vorozhtsov , Houssam Nassif

In this paper, we consider multivariate functional time series with a two-way dependence structure: a serial dependence across time points and a graphical interaction among the multiple functions within each time point. We develop the…

Methodology · Statistics 2026-01-27 Jianbin Tan , Decai Liang , Yongtao Guan , Hui Huang

Estimation of a treatment effect by a regression discontinuity design faces a severe challenge when the running variable contains measurement errors since the errors smoothen the discontinuity on which the identification depends. The…

Methodology · Statistics 2019-09-24 Kota Mori

Statistical models are central to machine learning with broad applicability across a range of downstream tasks. The models are controlled by free parameters that are typically estimated from data by maximum-likelihood estimation or…

Machine Learning · Computer Science 2023-08-16 Vaidotas Simkus , Benjamin Rhodes , Michael U. Gutmann
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