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The Galois lattice is a graphic method of representing knowledge structures. The first basic purpose in this paper is to introduce a new class of Galois lattices, called graded Galois lattices. As a direct result, one can obtain the notion…

Logic · Mathematics 2021-09-14 Reza Sotoudeh , Hamidreza Goudarzi , Ali Akbar Nikoukar

Being an unsupervised machine learning and data mining technique, biclustering and its multimodal extensions are becoming popular tools for analysing object-attribute data in different domains. Apart from conventional clustering techniques,…

Artificial Intelligence · Computer Science 2017-02-20 Dmitry I. Ignatov , Bruce W. Watson

Concept lattices are well-known conceptual structures that organise interesting patterns-the concepts-extracted from data. In some applications, such as software engineering or data mining, the size of the lattice can be a problem, as it is…

Artificial Intelligence · Computer Science 2018-02-13 Giacomo Kahn , Alexandre Bazin

We present a method for hierarchic categorization and taxonomy evolution description. We focus on the structure of epistemic communities (ECs), or groups of agents sharing common knowledge concerns. Introducing a formal framework based on…

Adaptation and Self-Organizing Systems · Physics 2016-09-08 Camille Roth , Paul Bourgine

Discrete data such as counts of microbiome taxa resulting from next-generation sequencing are routinely encountered in bioinformatics. Taxa count data in microbiome studies are typically high-dimensional, over-dispersed, and can only reveal…

Methodology · Statistics 2022-06-23 Yuan Fang , Sanjeena Subedi

Bacterial colonies can form a wide variety of shapes and structures based on ambient and internal conditions. To help understand the mechanisms that determine the structure of and the diversity within these colonies, various numerical…

Soft Condensed Matter · Physics 2024-12-24 Bryan Verhoef , Rutger Hermsen , Joost de Graaf

Recent advances in bioinformatics have made high-throughput microbiome data widely available, and new statistical tools are required to maximize the information gained from these data. For example, analysis of high-dimensional microbiome…

Methodology · Statistics 2017-03-23 Neal S. Grantham , Brian J. Reich , Elizabeth T. Borer , Kevin Gross

Social scientists have shown an increasing interest in understanding the structure of knowledge communities, and particularly the organization of "epistemic communities", that is groups of agents sharing common knowledge concerns. However,…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Camille Roth , Paul Bourgine

Cultivating oleaginous microalgae in specific culturing devices such as raceways is seen as a future way to produce biofuel. The complexity of this process coupling non linear biological activity to hydrodynamics makes the optimization…

Numerical Analysis · Mathematics 2012-09-05 Olivier Bernard , Anne-Celine Boulanger , Marie-Odile Bristeau , Jacques Sainte-Marie

The human microbiome is a complex ecological system, and describing its structure and function under different environmental conditions is important from both basic scientific and medical perspectives. Viewed through a biostatistical lens,…

Applications · Statistics 2017-11-17 Kris Sankaran , Susan P. Holmes

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

Applications · Statistics 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

Water quality has a direct impact on industry, agriculture, and public health. Algae species are common indicators of water quality. It is because algal communities are sensitive to changes in their habitats, giving valuable knowledge on…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Peisheng Qian , Ziyuan Zhao , Haobing Liu , Yingcai Wang , Yu Peng , Sheng Hu , Jing Zhang , Yue Deng , Zeng Zeng

Just as in eukaryotes, high-throughput chromosome conformation capture (Hi-C) data have revealed nested organizations of bacterial chromosomes into overlapping interaction domains. In this chapter, we present a multiscale analysis framework…

Genomics · Quantitative Biology 2020-10-06 Nelle Varoquaux , Virginia S. Lioy , Frédéric Boccard , Ivan Junier

Concept Hierarchies and Formal Concept Analysis are theoretically well grounded and largely experimented methods. They rely on line diagrams called Galois lattices for visualizing and analysing object-attribute sets. Galois lattices are…

Machine Learning · Statistics 2013-03-12 Michel Crampes , Michel Plantié

Data assimilation plays a crucial role in numerical modeling, enabling the integration of real-world observations into mathematical models to enhance the accuracy and predictive capabilities of simulations. This approach is widely applied…

Numerical Analysis · Mathematics 2024-11-08 Alexander Lobbe , Dan Crisan , Oana Lang

Fighting criminal activities in our modern societies required the engagement of intelligent information systems that can analyze crime data geographically and enable new concepts to be deduced from it. These information systems should be…

Computers and Society · Computer Science 2013-10-04 Quist-Aphetsi Kester

Mining frequent subgraphs is an area of research where we have a given set of graphs (each graph can be seen as a transaction), and we search for (connected) subgraphs contained in many of these graphs. In this work we will discuss…

Artificial Intelligence · Computer Science 2007-05-23 Edgar H. de Graaf , Joost N. Kok , Walter A. Kosters

Automatic identification of plant specimens from amateur photographs could improve species range maps, thus supporting ecosystems research as well as conservation efforts. However, classifying plant specimens based on image data alone is…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Riccardo de Lutio , Yihang She , Stefano D'Aronco , Stefania Russo , Philipp Brun , Jan D. Wegner , Konrad Schindler

Many real-life data are described by categorical attributes without a pre-classification. A common data mining method used to extract information from this type of data is clustering. This method group together the samples from the data…

Machine Learning · Computer Science 2014-07-30 Fabricio Olivetti de França

We present a new method of generating mixture models for data with categorical attributes. The keys to this approach are an entropy-based density metric in categorical space and annealing of high-entropy/low-density components from an…

Machine Learning · Statistics 2017-08-25 Cetin Savkli , Jeffrey Lin , Philip Graff , Matthew Kinsey
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