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Shrinkage in concrete is primarily due to water loss from evaporation, hydration of cement, or carbonation, leading to a reduction in volume. The volumetric contraction results in volumetric strain in concrete. However, in practice, shrinkage is measured as linear strain, which is one-third of the volumetric strain.
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Drying Shrinkage01:21

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Atmospheric CO2 penetrates the concrete's pores and, in the presence of moisture, forms carbonic acid, which then reacts with calcium hydroxide in the hydrated cement, forming calcium carbonate. This process reduces the concrete's volume and is termed carbonation shrinkage.
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Shrinkage Clustering: a fast and size-constrained clustering algorithm for biomedical applications.

Chenyue W Hu1, Hanyang Li1, Amina A Qutub2

  • 1Department of Bioengineering, Rice University, Main Street, Houston, 77030, USA.

BMC Bioinformatics
|January 25, 2018
PubMed
Summary

Shrinkage Clustering is a novel, efficient algorithm that simultaneously determines the number of clusters and partitions data. This method enhances accuracy and speed for biomedical tasks, especially with large datasets.

Keywords:
Cancer subtypingClusteringGene expressionMatrix factorization

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Area of Science:

  • Computational Biology
  • Bioinformatics
  • Data Science

Background:

  • Traditional clustering algorithms often involve inefficient two-step processes for determining cluster numbers and memberships.
  • Biomedical datasets are growing, necessitating more efficient and user-friendly clustering methods.
  • Meaningful interpretation requires clusters of sufficient sample size for subsequent analysis.

Purpose of the Study:

  • To introduce Shrinkage Clustering, a novel algorithm for efficient data partitioning.
  • To address the limitations of existing clustering methods in terms of computational efficiency and implementation complexity.
  • To provide a solution for clustering with cluster size constraints.

Main Methods:

  • Developed Shrinkage Clustering, a matrix factorization-based algorithm.
  • Simultaneously determines the optimal number of clusters and partitions data.
  • Incorporates cluster size constraints.

Main Results:

  • Shrinkage Clustering demonstrates high accuracy and speed across simulated and real-world datasets.
  • Successfully applied to subtyping cancer and brain tissues.
  • Offers a straightforward approach to clustering with size constraints.

Conclusions:

  • Shrinkage Clustering offers ease of implementation and computational efficiency.
  • Its extensible structure makes it broadly applicable to biomedical clustering tasks, particularly for large datasets.
  • Provides a robust solution for complex data partitioning challenges in biology.