Discovering Operational Patterns Using Image-Based Convolutional Clustering and Composite Evaluation: A Case Study in Foundry Melting Processes

📅 2025-11-17
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🤖 AI Summary
To address the challenge of extracting operational patterns from unlabeled, high-noise, and highly variable time-series data in industrial process monitoring, this paper proposes an unsupervised framework integrating image-based convolutional representation learning and composite evaluation. It innovatively transforms one-dimensional smelting time-series into grayscale images and employs a deep convolutional autoencoder to learn robust, noise-invariant features. A hybrid soft-hard clustering strategy coupled with a two-stage optimization mechanism is designed, alongside a weighted composite clustering validity index—S<sub>eva</sub>—integrating Silhouette, Calinski-Harabasz (CH), and Davies-Bouldin Index (DBI). Evaluated on over 3,900 real-world furnace operation records, the method successfully identifies seven interpretable operational modes, clearly distinguishing energy consumption profiles, thermal dynamics, and production cycles. It outperforms conventional and state-of-the-art deep clustering methods in both clustering performance and robustness, while ensuring domain interpretability and engineering deployability.

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📝 Abstract
Industrial process monitoring increasingly relies on sensor-generated time-series data, yet the lack of labels, high variability, and operational noise make it difficult to extract meaningful patterns using conventional methods. Existing clustering techniques either rely on fixed distance metrics or deep models designed for static data, limiting their ability to handle dynamic, unstructured industrial sequences. Addressing this gap, this paper proposes a novel framework for unsupervised discovery of operational modes in univariate time-series data using image-based convolutional clustering with composite internal evaluation. The proposed framework improves upon existing approaches in three ways: (1) raw time-series sequences are transformed into grayscale matrix representations via overlapping sliding windows, allowing effective feature extraction using a deep convolutional autoencoder; (2) the framework integrates both soft and hard clustering outputs and refines the selection through a two-stage strategy; and (3) clustering performance is objectively evaluated by a newly developed composite score, S_eva, which combines normalized Silhouette, Calinski-Harabasz, and Davies-Bouldin indices. Applied to over 3900 furnace melting operations from a Nordic foundry, the method identifies seven explainable operational patterns, revealing significant differences in energy consumption, thermal dynamics, and production duration. Compared to classical and deep clustering baselines, the proposed approach achieves superior overall performance, greater robustness, and domain-aligned explainability. The framework addresses key challenges in unsupervised time-series analysis, such as sequence irregularity, overlapping modes, and metric inconsistency, and provides a generalizable solution for data-driven diagnostics and energy optimization in industrial systems.
Problem

Research questions and friction points this paper is trying to address.

Unsupervised discovery of operational modes in univariate time-series data
Handling dynamic unstructured industrial sequences with high variability
Addressing sequence irregularity overlapping modes and metric inconsistency
Innovation

Methods, ideas, or system contributions that make the work stand out.

Transforms time-series into grayscale images for feature extraction
Integrates soft and hard clustering with two-stage refinement
Evaluates clustering using a novel composite score S_eva
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