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Linear structural equation models, which relate random variables via linear interdependencies and Gaussian noise, are a popular tool for modeling multivariate joint distributions. These models correspond to mixed graphs that include both…

Computation · Statistics 2015-04-14 Mathias Drton , Luca Weihs

State-space models are dynamical systems defined by a latent and an observed process. In ecology, stochastic state-space models in discrete time are most often used to describe the imperfectly observed dynamics of population sizes or animal…

Methodology · Statistics 2025-08-13 Frederic Barraquand , Julien Gibaud

Social Explainable AI (SAI) is a new direction in artificial intelligence that emphasises decentralisation, transparency, social context, and focus on the human users. SAI research is still at an early stage. Consequently, it concentrates…

Multiagent Systems · Computer Science 2023-10-20 Damian Kurpiewski , Wojciech Jamroga , Teofil Sidoruk

The high-performance computing resources and the constant improvement of both numerical simulation accuracy and the experimental measurements with which they are confronted, bring a new compulsory step to strengthen the credence given to…

Computation · Statistics 2019-03-01 J-B. Blanchard , G. Damblin , J-M. Martinez , G. Arnaud , F. Gaudier

Structural equation models are multivariate statistical models that are defined by specifying noisy functional relationships among random variables. We consider the classical case of linear relationships and additive Gaussian noise terms.…

Statistics Theory · Mathematics 2011-05-16 Mathias Drton , Rina Foygel , Seth Sullivant

Identifying the parameters of a model and rating competitive models based on measured data has been among the most important but challenging topics in modern science and engineering, with great potential of application in structural system…

Computation · Statistics 2017-08-02 F. A. DiazDelaO , A. Garbuno-Inigo , S. K. Au , I. Yoshida

The successful application of epidemic models hinges on our ability to estimate model parameters from limited observations reliably. An often-overlooked step before estimating model parameters consists of ensuring that the model parameters…

Quantitative Methods · Quantitative Biology 2023-09-29 Gerardo Chowell , Sushma Dahal , Yuganthi R. Liyanage , Amna Tariq , Necibe Tuncer

Static software checking tools are useful as an additional automated software inspection step that can easily be integrated in the development cycle and assist in creating secure, reliable and high quality code. However, an often quoted…

Software Engineering · Computer Science 2007-05-23 Cathal Boogerd , Leon Moonen

Service oriented architecture (SOA) is one of the latest software architectures. This architecture is created in direction of the business requirements and removed the gap between softwares and businesses. The software testing is the rising…

Software Engineering · Computer Science 2012-12-14 Ebrahim Shamsoddin-Motlagh

We introduce a new general identifiable framework for principled disentanglement referred to as Structured Nonlinear Independent Component Analysis (SNICA). Our contribution is to extend the identifiability theory of deep generative models…

Machines of all kinds from vehicles to industrial equipment are increasingly instrumented with hundreds of sensors. Using such data to detect anomalous behaviour is critical for safety and efficient maintenance. However, anomalies occur…

Artificial Intelligence · Computer Science 2016-05-06 Mohit Yadav , Pankaj Malhotra , Lovekesh Vig , K Sriram , Gautam Shroff

Finite element analysis (FEA) has been widely used to generate simulations of complex and nonlinear systems. Despite its strength and accuracy, the limitations of FEA can be summarized into two aspects: a) running high-fidelity FEA often…

Machine Learning · Computer Science 2020-12-15 Yinan Wang , Kaiwen Wang , Wenjun Cai , Xiaowei Yue

This paper introduces the Bayesian Inference Engine (BIE), a general parallel, optimised software package for parameter inference and model selection. This package is motivated by the analysis needs of modern astronomical surveys and the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Martin D. Weinberg

Integro-differential-algebraic equations (IDAE)s are widely used in applications of engineering and analysis. When there are hidden constraints in an IDAE, structural analysis is necessary. But if derivatives of dependent variables appear…

Dynamical Systems · Mathematics 2023-08-01 Wenqiang Yang , Wenyuan Wu , Greg Reid

We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

Machine Learning · Computer Science 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda

Soil Organic Carbon (SOC) is a foundation of soil health and global climate resilience, yet its prediction remains difficult because of intricate physical, chemical, and biological processes. In this study, we explore a Scientific Machine…

Parameter inference in ordinary differential equations is an important problem in many applied sciences and in engineering, especially in a data-scarce setting. In this work, we introduce a novel generative modeling approach based on…

Machine Learning · Computer Science 2019-12-06 Philippe Wenk , Gabriele Abbati , Michael A Osborne , Bernhard Schölkopf , Andreas Krause , Stefan Bauer

Scientists use mathematical modelling to understand and predict the properties of complex physical systems. In highly parameterised models there often exist relationships between parameters over which model predictions are identical, or…

Data Analysis, Statistics and Probability · Physics 2017-03-24 Dhruva V. Raman , James Anderson , Antonis Papachristodoulou

As modern software systems expand in scale and complexity, the challenges associated with their modeling and formulation grow increasingly intricate. Traditional approaches often fall short in effectively addressing these complexities,…

Software Engineering · Computer Science 2025-05-20 Tarik Houichime , Younes El Amrani

Identifiability is a necessary condition for successful parameter estimation of dynamic system models. A major component of identifiability analysis is determining the identifiable parameter combinations, the functional forms for the…

Quantitative Methods · Quantitative Biology 2013-10-07 Marisa C. Eisenberg , Michael A. L. Hayashi
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