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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…

The best empirical research in political science clearly defines substantive parameters of interest, presents a set of assumptions that guarantee its identification, and uses an appropriate estimator. We argue for the importance of…

Methodology · Statistics 2023-02-06 Nathan Canen , Kristopher Ramsay

The aim of this textbook is to provide students with basic knowledge of stochastic models that may apply to telecommunications research areas, such as traffic modelling, resource provisioning and traffic management. These study areas are…

Probability · Mathematics 2025-03-18 Moshe Zukerman

Path-specific effects are a broad class of mediated effects from an exposure to an outcome via one or more causal pathways with respect to some subset of intermediate variables. The majority of the literature concerning estimation of…

Graph data model and graph databases are very popular in various areas such as bioinformatics, semantic web, and social networks. One specific problem in the area is a path querying with constraints formulated in terms of formal grammars.…

Databases · Computer Science 2023-02-21 Semyon Grigorev , Anastasiya Ragozina

An introduction to applied mathematics written for students in engineering and science. Focus is on a rigorous presentation that also builds understanding by discussion, analogy, and examples. Discussion of concepts involved in modeling…

History and Overview · Mathematics 2023-05-10 Brian D Wood

Today, a wide variety of probabilistic and expert AI systems used to analyze real world inputs such as unstructured text, sounds, images, and statistical data. However, all these systems exist on different platforms, with different…

Neural and Evolutionary Computing · Computer Science 2012-04-30 Greg Fish

Traffic jams on roadways, echo chambers on social media, crowds of moving pedestrians, and opinion dynamics during elections are all complex social systems. These applications may seem disparate, but some of the questions that they motivate…

Physics and Society · Physics 2022-10-18 Alexandria Volkening

A biological pathway represents a set of genes that serves a particular cellular or a physiological function. The genes within the same pathway are expected to function together and hence may interact with each other. It is also known that…

Methodology · Statistics 2012-06-14 Zaili Fang , Inyoung Kim , Jeesun Jung

These notes offer a unified introduction to spectral methods for the study of complex systems. They are intended as an operative manual rather than a theorem-proof textbook: the emphasis is on tools, identities, and perspectives that can be…

Statistical Mechanics · Physics 2025-09-10 Francesco Caravelli

In this paper, we introduce and evaluate a data-driven staged mixture modeling technique for building density, regression, and classification models. Our basic approach is to sequentially add components to a finite mixture model using the…

Machine Learning · Computer Science 2013-01-07 Christopher Meek , Bo Thiesson , David Heckerman

We developed a novel approach to identification and model testing in linear structural equation models (SEMs) based on auxiliary variables (AVs), which generalizes a widely-used family of methods known as instrumental variables. The…

Methodology · Statistics 2019-10-09 Bryant Chen , Daniel Kumor , Elias Bareinboim

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

Methodology · Statistics 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

Eigenvalue analysis is a well-established tool for stability analysis of dynamical systems. However, there are situations where eigenvalues miss some important features of physical models. For example, in models of incompressible fluid…

Numerical Analysis · Mathematics 2017-10-23 Howard C. Elman , David J. Silvester

Probabilistic Latent Semantic Analysis is a novel statistical technique for the analysis of two-mode and co-occurrence data, which has applications in information retrieval and filtering, natural language processing, machine learning from…

Machine Learning · Computer Science 2013-01-30 Thomas Hofmann

Modern display environments offer great potential for involving multiple users in presentations, discussions, and data analysis sessions. By showing multiple views on multiple displays, information exchange can be improved, several…

Graphics · Computer Science 2019-12-19 Christian Eichner , Heidrun Schumann , Christian Tominski

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

Methodology · Statistics 2013-03-07 Cinzia Viroli

A statistical mechanical framework to analyze linear vector channel models in digital wireless communication is proposed for a large system. The framework is a generalization of that proposed for code-division multiple-access systems in…

Information Theory · Computer Science 2007-11-06 Koujin Takeda , Atsushi Hatabu , Yoshiyuki Kabashima

Along with the springing up of the semantics-empowered communication (SemCom) research, it is now witnessing an unprecedentedly growing interest towards a wide range of aspects (e.g., theories, applications, metrics and implementations) in…

Human-Computer Interaction · Computer Science 2023-11-14 Zhilin Lu , Rongpeng Li , Kun Lu , Xianfu Chen , Ekram Hossain , Zhifeng Zhao , Honggang Zhang

Structural Equation Models (SEM) are the standard approach to representing causal dependencies between variables in causal models. In this paper we propose a new interpretation of SEMs when reasoning about Actual Causality, in which SEMs…

Artificial Intelligence · Computer Science 2025-12-23 Maksim Gladyshev , Natasha Alechina , Mehdi Dastani , Dragan Doder , Brian Logan
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