# A Self-Supervised Learning-based Approach to Clustering Multivariate   Time-Series Data with Missing Values (SLAC-Time): An Application to TBI   Phenotyping

**Authors:** Hamid Ghaderi, Brandon Foreman, Amin Nayebi, Sindhu Tipirneni, Chandan, K. Reddy, Vignesh Subbian

arXiv: 2302.13457 · 2023-05-30

## TL;DR

SLAC-Time is a novel self-supervised, Transformer-based clustering method designed for multivariate time-series data with missing values, effectively identifying distinct TBI phenotypes without extensive data imputation.

## Contribution

The paper introduces SLAC-Time, a self-supervised learning approach that jointly learns representations and cluster assignments for time-series data with missing values, applied to TBI phenotyping.

## Key findings

- SLAC-Time outperforms baseline K-means in clustering quality metrics.
- Identified three distinct TBI phenotypes with clinical relevance.
- Potential to inform targeted clinical interventions.

## Abstract

Self-supervised learning approaches provide a promising direction for clustering multivariate time-series data. However, real-world time-series data often include missing values, and the existing approaches require imputing missing values before clustering, which may cause extensive computations and noise and result in invalid interpretations. To address these challenges, we present a Self-supervised Learning-based Approach to Clustering multivariate Time-series data with missing values (SLAC-Time). SLAC-Time is a Transformer-based clustering method that uses time-series forecasting as a proxy task for leveraging unlabeled data and learning more robust time-series representations. This method jointly learns the neural network parameters and the cluster assignments of the learned representations. It iteratively clusters the learned representations with the K-means method and then utilizes the subsequent cluster assignments as pseudo-labels to update the model parameters. To evaluate our proposed approach, we applied it to clustering and phenotyping Traumatic Brain Injury (TBI) patients in the Transforming Research and Clinical Knowledge in Traumatic Brain Injury (TRACK-TBI) study. Our experiments demonstrate that SLAC-Time outperforms the baseline K-means clustering algorithm in terms of silhouette coefficient, Calinski Harabasz index, Dunn index, and Davies Bouldin index. We identified three TBI phenotypes that are distinct from one another in terms of clinically significant variables as well as clinical outcomes, including the Extended Glasgow Outcome Scale (GOSE) score, Intensive Care Unit (ICU) length of stay, and mortality rate. The experiments show that the TBI phenotypes identified by SLAC-Time can be potentially used for developing targeted clinical trials and therapeutic strategies.

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Source: https://tomesphere.com/paper/2302.13457