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Cluster Sampling Method01:20

Cluster Sampling Method

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Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
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Collisions in Multiple Dimensions: Introduction01:05

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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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Collisions in Multiple Dimensions: Problem Solving01:06

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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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Unsoundness of Aggregate due to Volume Change01:26

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Unsoundness in aggregates due to volume changes is primarily caused by the physical alterations aggregates undergo, such as freezing and thawing, thermal changes, and wetting and drying. Unsound aggregates, when subjected to these changes, result in volume change upon disintegration. This, in turn, contributes to the deterioration of concrete, including scaling, pop-outs, and cracking. Particular types of aggregates, such as porous flints, cherts, and those containing clay minerals, are...
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Updated: Jun 28, 2025

Visualization and Quantification of High-Dimensional Cytometry Data using Cytofast and the Upstream Clustering Methods FlowSOM and Cytosplore
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Fast Continual Multi-View Clustering With Incomplete Views.

Xinhang Wan, Bin Xiao, Xinwang Liu

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    Summary
    This summary is machine-generated.

    This study introduces Fast Continual Multi-View Clustering with Incomplete Views (FCMVC-IV), a novel approach for multi-view clustering that handles continually arriving, incomplete data without storing past information, outperforming existing methods.

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    Area of Science:

    • Machine Learning
    • Data Mining
    • Computer Science

    Background:

    • Multi-view clustering (MVC) leverages information from multiple data sources.
    • Existing MVC methods often assume complete and static datasets.
    • The incomplete continual data problem (ICDP) in MVC, where data arrives over time and views may be incomplete, remains a significant challenge.

    Purpose of the Study:

    • To address the challenging incomplete continual data problem (ICDP) in multi-view clustering (MVC).
    • To develop an efficient algorithm that can handle continually arriving and incomplete data without storing previous observations.
    • To improve the extraction of consistent and complementary information across views under data scarcity and temporal dynamics.

    Main Methods:

    • Proposes Fast Continual Multi-View Clustering with Incomplete Views (FCMVC-IV).
    • Maintains a scalable consensus coefficient matrix, updating knowledge with new incomplete views.
    • Employs indicator and rotation matrices to align incomplete views with varying sample sets.
    • Utilizes a three-step iterative algorithm with linear complexity and proven convergence.

    Main Results:

    • FCMVC-IV effectively handles incomplete and continually arriving data in MVC.
    • The method demonstrates superior performance compared to existing approaches on various datasets.
    • The algorithm efficiently processes new data without requiring storage of historical data.

    Conclusions:

    • FCMVC-IV offers a robust solution for multi-view clustering under the difficult conditions of incomplete and continual data.
    • The proposed method overcomes limitations of existing MVC algorithms in dynamic and privacy-sensitive environments.
    • The approach facilitates more effective knowledge extraction from evolving, partial multi-view datasets.