VACE: Learning Geometrically Structured Representations for Time Series Anomaly Detection

📅 2026-05-22
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
This work addresses the challenge of anomaly detection in multivariate time series where anomalies are unlabeled, extremely rare, yet highly costly. The authors propose a self-supervised method that explicitly shapes the geometry of the embedding space through a novel “velocity-consistency” objective, which enforces local smoothness and directional coherence of normal trajectories without requiring negative samples or synthetic anomalies. The approach integrates a channel-aware encoder with two complementary scoring mechanisms: a Mahalanobis-distance-based positional score and a velocity-bank directional score, enabling precise discrimination of anomalous instances. Evaluated on the TSB-AD-M benchmark, the method achieves state-of-the-art performance, significantly outperforming existing approaches that are often more complex and computationally expensive.
📝 Abstract
Anomaly detection in multivariate time series is a critical task across a wide range of real-world applications, where abnormal behaviour is rare, labels are unavailable, and the cost of a miss is high. The central challenge is learning a characterisation of normality precise enough to flag deviations. Representation self-supervised learning, typically through contrastive approaches, addresses this by embedding temporal patches into a latent space where normality occupies a well-defined region, with anomalies detected by geometric deviation. However, contrastive approaches shape this space indirectly through pair-sampling heuristics, providing no explicit control over the geometric structure that distance-based scoring requires. This means how tightly normal representations are grouped, and whether distances are directionally meaningful. We present VACE (Velocity-Aligned Channel Embeddings), a self-supervised anomaly detection method that represents normality as a compact, directionally coherent region in the embedding space. To this end, VACE trains a channel-aware encoder through a velocity-consistency objective, with no negatives and no synthetic anomalies, so that normal trajectories are locally smooth and aligned. At test time, a Mahalanobis positional score and a velocity-bank directional score are combined multiplicatively, flagging points that are simultaneously off-distribution and dynamically atypical. Despite its simplicity, VACE achieves state-of-the-art performance on TSB-AD-M under rigorous evaluation, significantly outperforming more complex methods trained on substantially larger budgets.
Problem

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

anomaly detection
multivariate time series
self-supervised learning
geometric structure
representation learning
Innovation

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

self-supervised learning
velocity consistency
directional embedding
Mahalanobis scoring
multivariate time series anomaly detection
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A
Alberto D. Cencillo
Andalusian Research Institute in Data Science and Computational Intelligence (DaSCI)
L
Leonardo Concepción
Andalusian Research Institute in Data Science and Computational Intelligence (DaSCI)
I
Isaac Triguero
Department of Computer Science and Artificial Intelligence (DECSAI), University of Granada, Granada, 18071, Spain
J
Julián Luengo
Department of Computer Science and Artificial Intelligence (DECSAI), University of Granada, Granada, 18071, Spain