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Automating statistical modelling is a challenging problem in artificial intelligence. The Automatic Statistician takes a first step in this direction, by employing a kernel search algorithm with Gaussian Processes (GP) to provide…

Machine Learning · Statistics 2018-02-15 Hyunjik Kim , Yee Whye Teh

In this work, we present a novel approach to system identification for dynamical systems, based on a specific class of Deep Gaussian Processes (Deep GPs). These models are constructed by interconnecting linear dynamic GPs (equivalent to…

Machine Learning · Statistics 2025-02-11 Alessio Benavoli , Dario Piga , Marco Forgione , Marco Zaffalon

Colour and coarseness of skin are visually different. When image processing is involved in the skin analysis, it is important to quantitatively evaluate such differences using texture features. In this paper, we discuss a texture analysis…

Computer Vision and Pattern Recognition · Computer Science 2010-05-11 A. Sparavigna , R. Marazzato

Tensioned cable nets can be used as supporting structures for the efficient construction of lightweight building elements, such as thin concrete shell structures. To guarantee important mechanical properties of the latter, the tolerances on…

Systems and Control · Electrical Eng. & Systems 2020-12-22 Yvonne R. Stürz , Mohammad Khosravi , Roy S. Smith

Gaussian graphical models are widely used to represent conditional dependence among random variables. In this paper, we propose a novel estimator for data arising from a group of Gaussian graphical models that are themselves dependent. A…

Machine Learning · Statistics 2016-09-01 Yuying Xie , Yufeng Liu , William Valdar

Anomaly detection has many applications ranging from bank-fraud detection and cyber-threat detection to equipment maintenance and health monitoring. However, choosing a suitable algorithm for a given application remains a challenging design…

Graphical models have long been studied in statistics as a tool for inferring conditional independence relationships among a large set of random variables. The most existing works in graphical modeling focus on the cases that the data are…

Methodology · Statistics 2022-12-12 Siqi Liang , Faming Liang

Bayesian learning using Gaussian processes provides a foundational framework for making decisions in a manner that balances what is known with what could be learned by gathering data. In this dissertation, we develop techniques for…

Machine Learning · Statistics 2022-04-29 Alexander Terenin

A new methodology for model determination in decomposable graphical Gaussian models is developed. The Bayesian paradigm is used and, for each given graph, a hyper inverse Wishart prior distribution on the covariance matrix is considered.…

Computation · Statistics 2015-03-13 Sophie Donnet , Jean-Michel Marin

Independent component analysis (ICA) is a fundamental statistical tool used to reveal hidden generative processes from observed data. However, traditional ICA approaches struggle with the rotational invariance inherent in Gaussian…

Machine Learning · Computer Science 2024-08-21 Ignavier Ng , Yujia Zheng , Xinshuai Dong , Kun Zhang

Complex computer codes, for instance simulating physical phenomena, are often too time expensive to be directly used to perform uncertainty, sensitivity, optimization and robustness analyses. A widely accepted method to circumvent this…

Numerical Analysis · Mathematics 2011-04-22 Bertrand Iooss , Loïc Boussouf , Vincent Feuillard , Amandine Marrel

Undirected graphical models are widely used to model the conditional independence structure of vector-valued data. However, in many modern applications, for example those involving EEG and fMRI data, observations are more appropriately…

Machine Learning · Statistics 2024-01-29 Boxin Zhao , Percy S. Zhai , Y. Samuel Wang , Mladen Kolar

The Gaussian graphical model is routinely employed to model the joint distribution of multiple random variables. The graph it induces is not only useful for describing the relationship between random variables but also critical for…

Methodology · Statistics 2022-12-15 Thien-Minh Le , Ping-Shou Zhong , Chenlei Leng

Mapper, a topological algorithm, is frequently used as an exploratory tool to build a graphical representation of data. This representation can help to gain a better understanding of the intrinsic shape of high-dimensional genomic data and…

Genomics · Quantitative Biology 2023-07-19 Erik J. Amézquita , Farzana Nasrin , Kathleen M. Storey , Masato Yoshizawa

Measuring similarity between complex objects is a fundamental task in many scientific fields. When objects are represented as graphs, graph similarity/distance measures offer a powerful framework for quantifying structural resemblance.…

Combinatorics · Mathematics 2025-09-30 Matthias Dehmer , Izudin Redžepović , Niko Tratnik , Petra Žigert Pleteršek

Graph classification aims to categorize graphs based on their structural and attribute features, with applications in diverse fields such as social network analysis and bioinformatics. Among the methods proposed to solve this task, those…

Machine Learning · Computer Science 2025-07-23 Lucas Potin , Rosa Figueiredo , Vincent Labatut , Christine Largeron

Usage of multiprocessor and multicore computers implies parallel programming. Tools for preparing parallel programs include parallel languages and libraries as well as parallelizing compilers and convertors that can perform automatic…

Mathematical Software · Computer Science 2022-12-12 Pavel Telegin , Anton Baranov , Boris Shabanov , Artem Tikhomirov

In recent years there has been a rapid increase in classification methods on graph structured data. Both in graph kernels and graph neural networks, one of the implicit assumptions of successful state-of-the-art models was that…

Machine Learning · Computer Science 2019-11-01 Sergei Ivanov , Sergei Sviridov , Evgeny Burnaev

Complex statistical machine learning models are increasingly being used or considered for use in high-stakes decision-making pipelines in domains such as financial services, health care, criminal justice and human services. These models are…

Applications · Statistics 2017-07-04 Alexandra Chouldechova , Max G'Sell

Current remote sensing image classification problems have to deal with an unprecedented amount of heterogeneous and complex data sources. Upcoming missions will soon provide large data streams that will make land cover/use classification…

Machine Learning · Computer Science 2017-10-04 Pablo Morales-Alvarez , Adrian Perez-Suay , Rafael Molina , Gustau Camps-Valls