Portal
The MaRDI Portal
Your Portal to Open Math Research Data
Welcome to the MaRDI Portal of the NFDI.
Welcome to the MaRDI Portal — your gateway to open mathematical research data. Access our comprehensive MaRDI services. Whether you are a researcher, a student, or simply someone passionate about mathematics, the MaRDI Portal is here to support your exploration, learning, and discovery with resources tailored to diverse needs and interests.
We embrace the open-source philosophy — our source code repositories and detailed technical documentation are freely accessible. Or, maybe you want to read about our personas - some fictional characters that embody the distinct goals, motivations, and challenges of our users. If you have further questions or recommendations, you can find ways to contact us here.
MaRDI offers a wide range of services:
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MaRDI PortalWeb application
The MaRDI Portal serves as the primary access point to the MaRDI services, facilitating the exploration and utilisation ... |
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MaRDI Packaging SystemTool/Application
MaPS helps researchers create and publish software runtimes, as well as deploy and run software inside published runtime... |
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MaRDI Knowledge GraphDatabase
Serving the global mathematical community, the MaRDI knowledge Graph is a comprehensive resource containing over 5 milli... |
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MaRDMOTool/Application
MaRDMO is a plugin designed to streamline the documentation of workflows. Primarily utilized for Model-Simulation-Optimi... |
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MaRDI Help DeskOutreach | Support/Consulting
The MaRDI Help Desk is your first entry point to MaRDI services, support, and training. Mathematical data consultant Chr... |
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MaRDI Open InterfacesTool/Application
Software that connects different numerical packages together. Users can invoke numerical solvers written in one programm... |
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mlr3Tool/Application
mlr3 is an open-source machine learning framework in R that provides a unified interface for training, evaluating, and b... |
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MathAlgoDB Knowledge Graph for Scientific ComputingTool/Application
Algorithms are the main building blocks of scientific computing. MathAlgoDB is a knowledge graph with an underlying onto... |
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MaRDIFlowTool/Application
This computational framework abstracts multi-layered components from FAIR computational experiments through an input/out... |
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MathModDBDatabase
MathModDB is a database of mathematical models developed by the Mathematical Research Data Initiative (MaRDI). MathModDB... |
See here for more details: MaRDI Services
The MaRDI project is organized into the following task areas:
- Research Areas
- Outreach
- TA5: The MaRDI Portal
- TA6: Data Culture and Community Integration
- Governance
- TA7: Governance and Consortium Management
Discover today's highlight:
Model-based clustering of multiple networks with a hierarchical algorithm
Summary:
This paper introduces a hierarchical algorithm for clustering multiple networks, even when these networks vary in size and do not share the same vertices. The method uses a statistical model-based approach, leveraging stochastic block models (SBMs) to group networks with similar topological structures. Clustering is achieved by maximizing the integrated classification likelihood (ICL) criterion, with an automated selection of the optimal number of clusters. A novel technique is presented to address label-switching issues in SBMs by comparing graphons, enabling accurate aggregation of clusters. The method is evaluated on synthetic data and applied to ecological food web networks, demonstrating its efficiency, interpretability, and robustness compared to existing graph clustering approaches.
Easy summary:
This paper explains a way to group networks, like maps of connections between people or animals, based on how their structure is similar. It uses a smart math-based method called stochastic block models (SBMs) to figure out these groups automatically. The process builds a tree-like diagram (dendrogram) to show how the networks are connected and picks the best number of groups without guessing. A special trick compares parts of the networks to make sure the grouping is accurate, even if the networks are labeled differently. This method was tested on fake data and real examples, like food chains in nature, and worked better than older techniques.
Read more about it on the MaRDI portal: https://portal.mardi4nfdi.de/wiki/Publication:57414
Read more about it on arXiv: https://doi.org/10.1007/S11222-023-10329-W
