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    Area of Science:

    • Data Science
    • Computer Vision
    • Machine Learning

    Background:

    • Nonlinear dimensionality reduction (NDR) is crucial for high-dimensional data visualization.
    • Current NDR methods often lack explainability, hindering the interpretation of projected patterns in relation to original features.
    • Existing interactive techniques inadequately integrate user input with the feature space, limiting insight generation.

    Purpose of the Study:

    • To develop a bidirectional interaction method that bridges the feature space and projections in NDR.
    • To enable intuitive exploration of how feature weights influence data embeddings.
    • To facilitate structured pattern discovery through automated, query-based interactions and visual semantics.

    Main Methods:

    • A bidirectional interaction approach allowing users to adjust feature weights directly.
    • Definition of visual semantics to quantify projection changes.
    • Utilization of a neural network to approximate the NDR projection process for enhanced scalability and responsiveness.
    • Quantitative analysis of accuracy and scalability, complemented by a user study.

    Main Results:

    • The proposed method effectively links feature space manipulations to projection changes.
    • A neural network approximation improved scalability and maintained accuracy in NDR.
    • User studies demonstrated enhanced hypothesis generation and exploratory task performance with real-world data.

    Conclusions:

    • The bidirectional interaction method significantly improves the explainability of NDR techniques.
    • The approach supports diverse analytical scenarios, enabling users to better explore and interpret high-dimensional data.
    • Interactive exploration grounded in the feature space is key to unlocking deeper insights from complex datasets.