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We consider a global variable consensus ADMM algorithm for solving large-scale PDE parameter estimation problems asynchronously and in parallel. To this end, we partition the data and distribute the resulting subproblems among the available…

Numerical Analysis · Mathematics 2019-05-01 Samy Wu Fung , Lars Ruthotto

Observational cohort studies with oversampled exposed subjects are typically implemented to understand the causal effect of a rare exposure. Because the distribution of exposed subjects in the sample differs from the source population,…

Methodology · Statistics 2019-02-14 Sherri Rose

Probabilistic Regression refers to predicting a full probability density function for the target conditional on the features. We present a nonparametric approach to this problem which combines base classifiers (typically gradient boosted…

Machine Learning · Computer Science 2022-10-31 Brian Lucena

Uncertainty analysis in the form of probabilistic forecasting can provide significant improvements in decision-making processes in the smart power grid for better integrating renewable energies such as wind. Whereas point forecasting…

Machine Learning · Statistics 2018-03-30 Kostas Hatalis , Shalinee Kishore , Katya Scheinberg , Alberto Lamadrid

Matching a nonprobability sample to a probability sample is one strategy both for selecting the nonprobability units and for weighting them. This approach has been employed in the past to select subsamples of persons from a large panel of…

Methodology · Statistics 2021-12-03 Zhan Liu , Richard Valliant

Imperfections and uncertainties in forecast models are often represented in ensemble prediction systems by stochastic perturbations of model equations. In this article, we present a new technique to generate model perturbations. The…

Atmospheric and Oceanic Physics · Physics 2023-11-28 Michael Tsyrulnikov , Elena Astakhova , Dmitry Gayfulin

Conformal prediction is a powerful framework for constructing prediction sets with valid coverage guarantees in multi-class classification. However, existing methods often rely on a single score function, which can limit their efficiency…

Machine Learning · Statistics 2025-03-05 Rui Luo , Zhixin Zhou

Relatedness is a quantification of how much two human activities are similar in terms of the inputs and contexts needed for their development. Under the idea that it is easier to move between related activities than towards unrelated ones,…

Physics and Society · Physics 2021-03-11 Andrea Tacchella , Andrea Zaccaria , Marco Miccheli , Luciano Pietronero

Despite the significance of probabilistic time-series forecasting models, their evaluation metrics often involve intractable integrations. The most widely used metric, the continuous ranked probability score (CRPS), is a strictly proper…

Machine Learning · Statistics 2025-07-25 Masaki Adachi , Masahiro Fujisawa , Michael A Osborne

In observational study, the propensity score has the central role to estimate causal effects. Since the propensity score is usually unknown, estimating by appropriate procedures is an indispensable step. A point to note that a causal effect…

Methodology · Statistics 2023-01-19 Shunichiro Orihara

Skewness measures can be used to measure the level of asymmetry of a distribution. Given the prevalence of statistical methods that assume underlying symmetry, and also the desire for symmetry in order to make meaningful judgements for…

Statistics Theory · Mathematics 2019-12-19 Chandima N. P. G. Arachchige , Luke A. Prendergast

This paper studies density estimation and regression analysis with contaminated data observed on the unit hypersphere S^d. Our methodology and theory are based on harmonic analysis on general S^d. We establish novel nonparametric density…

Statistics Theory · Mathematics 2023-01-10 Jeong Min Jeon , Ingrid Van Keilegom

This letter establishes the asymptotic optimality of equal power allocation for measurements of a continuous wide-sense stationary (WSS) random process with a square-integrable autocorrelation function when linear estimation is used on…

Information Theory · Computer Science 2013-10-18 Boulat A. Bash , Dennis Goeckel , Don Towsley

Cyber-Physical Systems (CPS) operate in dynamic environments, leading to different types of uncertainty. This work provides a comprehensive review of uncertainty representations and categorizes them based on the dimensions used to represent…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Johannes Mäkelburg , Diego Perez-Palacin , Raffaela Mirandola , Maribel Acosta

The classical paradigm of scoring rules is to discriminate between two different forecasts by comparing them with observations. The probability distribution of the observed record is assumed to be perfect as a verification benchmark. In…

Methodology · Statistics 2021-08-06 Julie Bessac , Philippe Naveau

Pairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies focused on the ways how to express and measure this inconsistency, and several…

Artificial Intelligence · Computer Science 2017-05-01 Jiri Mazurek

Approximate Bayesian computation (ABC) methods, which are applicable when the likelihood is difficult or impossible to calculate, are an active topic of current research. Most current ABC algorithms directly approximate the posterior…

Computation · Statistics 2012-12-10 Y. Fan , D. J. Nott , S. A. Sisson

The concept of image similarity is ambiguous, and images can be similar in one context and not in another. This ambiguity motivates the creation of metrics for specific contexts. This work explores the ability of deep perceptual similarity…

Computer Vision and Pattern Recognition · Computer Science 2023-05-15 Gustav Grund Pihlgren , Fredrik Sandin , Marcus Liwicki

In comparative studies, such as in causal inference and clinical trials, balancing important covariates is often one of the most important concerns for both efficient and credible comparison. However, chance imbalance still exists in many…

Methodology · Statistics 2018-07-30 Yichen Qin , Yang Li , Wei Ma , Feifang Hu

Given a non-negative real sequence $\{c_n\}_n$ such that the series $\sum_{n=1}^{\infty}c_n$ diverges, it is known that the size of an infinite subset $A\subset\mathbb{N}$ can be measured in terms of the linear density such that the…

Classical Analysis and ODEs · Mathematics 2024-08-09 Janne Heittokangas , Zinelaabidine Latreuch
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