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Binary classification is one of the most common problem in machine learning. It consists in predicting whether a given element belongs to a particular class. In this paper, a new algorithm for binary classification is proposed using a…

Machine Learning · Computer Science 2019-03-12 Alexandre Quemy

A common assumption in causal inference from observational data is that there is no hidden confounding. Yet it is, in general, impossible to verify this assumption from a single dataset. Under the assumption of independent causal mechanisms…

Methodology · Statistics 2023-11-07 Rickard K. A. Karlsson , Jesse H. Krijthe

A common problem in data analysis is that the functional form, as well as the parameter values, of the underlying model which should describe a dataset is not known a priori. In these cases some extra uncertainty must be assigned to the…

Data Analysis, Statistics and Probability · Physics 2015-05-20 P. D. Dauncey , M. Kenzie , N. Wardle , G. J. Davies

Structural identifiability is a property of an ODE model with parameters that allows for the parameters to be determined from continuous noise-free data. This is a natural prerequisite for practical identifiability. Conducting multiple…

Algebraic Geometry · Mathematics 2021-08-18 Alexey Ovchinnikov , Anand Pillay , Gleb Pogudin , Thomas Scanlon

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

The identifiability analysis of linear Ordinary Differential Equation (ODE) systems is a necessary prerequisite for making reliable causal inferences about these systems. While identifiability has been well studied in scenarios where the…

Machine Learning · Statistics 2024-10-31 Yuanyuan Wang , Biwei Huang , Wei Huang , Xi Geng , Mingming Gong

A parameter of a mathematical model is structurally identifiable if it can be determined from noiseless experimental data. Here, we examine the identifiability properties of two important classes of linear compartmental models:…

Model monitoring involves analyzing AI algorithms once they have been deployed and detecting changes in their behaviour. This thesis explores machine learning model monitoring ML before the predictions impact real-world decisions or users.…

Machine Learning · Computer Science 2025-01-28 Carlos Mougan

Regression models with functional responses and covariates constitute a powerful and increasingly important model class. However, regression with functional data poses well known and challenging problems of non-identifiability. This…

Methodology · Statistics 2016-02-22 Fabian Scheipl , Sonja Greven

Inverse Uncertainty Quantification (UQ), or Bayesian calibration, is the process to quantify the uncertainties of random input parameters based on experimental data. The introduction of model discrepancy term is significant because…

Applications · Statistics 2019-07-24 Xu Wu , Koroush Shirvan , Tomasz Kozlowski

Training datasets for machine learning often have some form of missingness. For example, to learn a model for deciding whom to give a loan, the available training data includes individuals who were given a loan in the past, but not those…

Machine Learning · Computer Science 2020-12-22 Naman Goel , Alfonso Amayuelas , Amit Deshpande , Amit Sharma

How to deal with nonignorable response is often a challenging problem encountered in statistical analysis with missing data. Parametric model assumption for the response mechanism is often made and there is no way to validate the model…

Methodology · Statistics 2018-10-31 Masatoshi Uehara , Jae Kwang Kim

In this study, we explore the partial identification of nonseparable models with continuous endogenous and binary instrumental variables. We show that the structural function is partially identified when it is monotone or concave in the…

Methodology · Statistics 2023-06-22 Takuya Ishihara

The design of unknown-input decoupled observers and filters requires the assumption of an existence condition in the literature. This paper addresses an unknown input filtering problem where the existence condition is not satisfied. Instead…

Systems and Control · Computer Science 2020-05-05 Peng Lu , Erik-Jan van Kampen , Cornelis C. de Visser , Qiping Chu

Two separate and distinct sources of nonidentifiability arise naturally in the context of latent position random graph models, though neither are unique to this setting. In this paper we define and examine these two nonidentifiabilities,…

Statistics Theory · Mathematics 2020-04-01 Joshua Agterberg , Minh Tang , Carey E. Priebe

Machine Learning explainability techniques have been proposed as a means of `explaining' or interrogating a model in order to understand why a particular decision or prediction has been made. Such an ability is especially important at a…

Machine Learning · Statistics 2022-02-28 Matthew J. Vowels

Our capacity to process large complex data sources is ever-increasing, providing us with new, important applied research questions to address, such as how to handle missing values in large-scale databases. Mitra et al. (2023) noted the…

Methodology · Statistics 2023-07-07 James Jackson , Robin Mitra , Niels Hagenbuch , Sarah McGough , Chris Harbron

Appearance based person re-identification in a real-world video surveillance system with non-overlapping camera views is a challenging problem for many reasons. Current state-of-the-art methods often address the problem by relying on…

Computer Vision and Pattern Recognition · Computer Science 2016-07-21 Furqan M. Khan , Francois Bremond

Existing approaches to model uncertainty typically either compare models using a quantitative model selection criterion or evaluate posterior model probabilities having set a prior. In this paper, we propose an alternative strategy which…

Methodology · Statistics 2025-03-26 Vik Shirvaikar , Stephen G. Walker , Chris Holmes

The feasibility of uniquely estimating parameters of dynamical systems from observations is a widely discussed aspect of mathematical modelling. Several approaches have been published for analyzing identifiability. However, they are…

Methodology · Statistics 2017-08-14 Clemens Kreutz
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