Detecting anomalies in human mobility is essential for applications such as public safety and urban planning. While traditional anomaly detection methods primarily focus on individual movement patterns (e.g., a child should stay at home at night), collective anomaly detection aims to identify irregularities in collective mobility behaviors across individuals (e.g., a child is at home alone while the parents are elsewhere) and remains an underexplored challenge. Unlike individual anomalies, collective anomalies require modeling spatiotemporal dependencies between individuals, introducing additional complexity. To address this gap, we propose CoBAD, a novel model designed to capture Collective Behaviors for human mobility Anomaly Detection. We first formulate the problem as unsupervised learning over Collective Event Sequences (CES) with a co-occurrence event graph, where CES represents the event sequences of related individuals. CoBAD then employs a two-stage attention mechanism to model both the individual mobility patterns and the interactions across multiple individuals. Pre-trained on large-scale collective behavior data through masked event and link reconstruction tasks, CoBAD is able to detect two types of collective anomalies: unexpected co-occurrence anomalies and absence anomalies, the latter of which has been largely overlooked in prior work. Extensive experiments on large-scale mobility datasets demonstrate that CoBAD significantly outperforms existing anomaly detection baselines, achieving an improvement of 13%-18% in AUCROC and 19%-70% in AUCPR. All source code is available at https://github.com/wenhaomin/CoBAD.

Given the temporal GPS coordinates from a large set of human agents, how can we model their mobility behavior toward effective anomaly (e.g., bad-actor or malicious behavior) detection without any labeled data? Human mobility and trajectory modeling have been extensively studied, showcasing varying abilities to manage complex inputs and balance performance-efficiency trade-offs. In this work, we formulate anomaly detection in complex human behavior by modeling raw GPS data as a sequence of stay-point events, each characterized by spatio-temporal features, along with trips (i.e., commutes) between the stay-points. Our problem formulation allows us to leverage modern sequence models for unsupervised training and anomaly detection. Notably, we equip our proposed model USTAD (for Uncertainty-aware Spatio-Temporal Anomaly Detection) with aleatoric (i.e., data) uncertainty estimation to account for inherent stochasticity in certain individuals' behavior, as well as epistemic (i.e., model) uncertainty to handle data sparsity under a large variety of human behaviors. Together, aleatoric and epistemic uncertainties unlock a robust loss function as well as uncertainty-aware decision-making in anomaly scoring. Extensive experiments show that USTAD significantly outperforms baselines in industry-scale data. We open-source all code at https://github.com/wenhaomin/USTAD.

Trajectory anomaly detection is critical across a wide range of applications, from traffic control, and wildlife conservation, to public transportation optimization. However, detecting anomalies in trajectory data is challenging due to the diverse nature of anomalies. In this paper, we propose CETrajAD, an ensemble method for trajectory anomaly detection that integrates complementary detectors, each targeting different aspects of trajectory anomalies. Our approach leverages three types of trajectory embeddings—Route, Speed, and Shape—that vary in their sensitivity to length, direction, shape, and speed, enabling the detection of diverse anomaly types. We combine detectors from both the embedding and input spaces and show how their complementary nature improves anomaly detection performance. Through theoretical analysis, we demonstrate the conditions when the proposed ensemble design outperforms traditional ensemble methods. Experiments on multiple real-world datasets, containing both simulated and ground-truth anomalies, show that the proposed model consistently outperforms existing baselines.