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    We developed a method to embed time series data into a lower-dimensional latent space, preserving original dissimilarities for efficient classification. This approach significantly reduces computational and storage needs for time series analysis.

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    Area of Science:

    • Machine Learning
    • Data Science
    • Time Series Analysis

    Background:

    • Time series classification often relies on complex dissimilarity measures like Dynamic Time Warping (DTW).
    • High dimensionality of raw time series data poses computational and storage challenges.
    • Existing methods may not efficiently preserve pairwise dissimilarities in reduced-dimension representations.

    Purpose of the Study:

    • To embed time series into a latent space that preserves pairwise Euclidean distances (EDs) corresponding to original dissimilarities.
    • To develop elastic dissimilarity measures using neural networks for improved time series representation.
    • To reduce dimensionality for efficient time series classification and one-class classification tasks.

    Main Methods:

    • Utilized auto-encoder (AE) and encoder-only neural networks to learn elastic dissimilarity measures.
    • Employed dynamic time warping (DTW) as a key dissimilarity measure within the learned representations.
    • Applied learned representations to one-class classification on UCR/UEA archive datasets using a 1-nearest neighbor (1NN) classifier.

    Main Results:

    • Achieved classification performance comparable to using raw time series data.
    • Demonstrated a substantial reduction in the dimensionality of the data representation.
    • Showcased significant savings in computational and storage requirements for nearest neighbor classification.

    Conclusions:

    • The proposed latent space embedding effectively preserves time series dissimilarities.
    • Learned representations offer a computationally efficient alternative to raw data for time series classification.
    • This method provides practical advantages for large-scale time series analysis and nearest neighbor classification.