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The development of external evaluation criteria for soft clustering (SC) has received limited attention: existing methods do not provide a general approach to extend comparison measures to SC, and are unable to account for the uncertainty…

机器学习 · 计算机科学 2022-06-22 Andrea Campagner , Davide Ciucci , Thierry Denœux

Properly estimating correlations between objects at different spatial scales necessitates $\mathcal{O}(n^2)$ distance calculations. For this reason, most widely adopted packages for estimating correlations use clustering algorithms to…

This paper aims to provide practitioners of causal mediation analysis with a better understanding of estimation options. We take as inputs two familiar strategies (weighting and model-based prediction) and a simple way of combining them…

Faraday complexity describes whether a spectropolarimetric observation has simple or complex magnetic structure. Quickly determining the Faraday complexity of a spectropolarimetric observation is important for processing large, polarised…

天体物理仪器与方法 · 物理学 2021-07-01 M. J. Alger , J. D. Livingston , N. M. McClure-Griffiths , J. L. Nabaglo , O. I. Wong , C. S. Ong

This paper considers the problem of estimating the unknown intervention targets in a causal directed acyclic graph from observational and interventional data. The focus is on soft interventions in linear structural equation models (SEMs).…

统计方法学 · 统计学 2021-11-16 Burak Varici , Karthikeyan Shanmugam , Prasanna Sattigeri , Ali Tajer

This PhD thesis contains several contributions to the field of statistical causal modeling. Statistical causal models are statistical models embedded with causal assumptions that allow for the inference and reasoning about the behavior of…

机器学习 · 统计学 2021-10-05 Martin Emil Jakobsen

Causal decomposition analysis (CDA) is an approach for modeling the impact of hypothetical interventions to reduce disparities. It is useful for identifying foci that future interventions, including multilevel and multimodal interventions,…

统计方法学 · 统计学 2026-04-28 John W. Jackson , Ting-Hsuan Chang , Aster Meche , Trang Q. Nguyen

Many modern tools in machine learning and signal processing, such as sparse dictionary learning, principal component analysis (PCA), non-negative matrix factorization (NMF), $K$-means clustering, etc., rely on the factorization of a matrix…

Bipartite incidence graph sampling provides a unified representation of many sampling situations for the purpose of estimation, including the existing unconventional sampling methods, such as indirect, network or adaptive cluster sampling,…

统计理论 · 数学 2020-04-10 Martina Patone , Li-Chun Zhang

Causal inference is essential for data-driven decision-making, as it aims to uncover causal relationships from observational data. However, identifying causality remains challenging due to the potential for confounding and the distinction…

机器学习 · 统计学 2026-05-08 Tianyu Yang , Md. Noor-E-Alam

This paper introduces a framework for estimating fair optimal predictions using machine learning where the notion of fairness can be quantified using path-specific causal effects. We use a recently developed approach based on Lagrange…

机器学习 · 计算机科学 2024-08-06 Razieh Nabi , David Benkeser

Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

机器学习 · 计算机科学 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu

Directed acyclic graphical (DAG) models are a powerful tool for representing causal relationships among jointly distributed random variables, especially concerning data from across different experimental settings. However, it is not always…

机器学习 · 统计学 2026-04-03 Francisco Madaleno , Pratik Misra , Alex Markham

Clustering based on belief functions has been gaining increasing attention in the machine learning community due to its ability to effectively represent uncertainty and/or imprecision. However, none of the existing algorithms can be applied…

机器学习 · 计算机科学 2025-07-21 Armel Soubeiga , Thomas Guyet , Violaine Antoine

Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for important cases. In this Letter, we…

适应与自组织系统 · 物理学 2011-11-10 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , Robert Haslinger

Causal discovery from observational data is a challenging task that can only be solved up to a set of equivalent solutions, called an equivalence class. Such classes, which are often large in size, encode uncertainties about the orientation…

Numerical causal derivative estimators from noisy data are essential for real time applications especially for control applications or fluid simulation so as to address the new paradigms in solid modeling and video compression. By using an…

数值分析 · 数学 2011-06-14 Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti

Causal analysis has become an essential component in understanding the underlying causes of phenomena across various fields. Despite its significance, existing literature on causal discovery algorithms is fragmented, with inconsistent…

人工智能 · 计算机科学 2024-09-05 Wenjin Niu , Zijun Gao , Liyan Song , Lingbo Li

We consider the task of estimating a high-dimensional directed acyclic graph, given observations from a linear structural equation model with arbitrary noise distribution. By exploiting properties of common random graphs, we develop a new…

机器学习 · 统计学 2019-12-30 Arjun Sondhi , Ali Shojaie

Causal mediation analysis in cluster-randomized trials (CRTs) is complicated by the presence of multiple mediators, intracluster correlation, and within-cluster interference. Existing mediation methods often fall short in accommodating…

统计方法学 · 统计学 2026-04-14 Jiaqi Tong , Chao Cheng , Fan Li
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