Subspace-Aware Feature Reconstruction for Unsupervised Anomaly Localization

Unsupervised anomaly localization, which plays a critical role in industrial manufacturing, is to identify anomalous regions that deviate from patterns established exclusively from nominal samples. Recent mainstream methods focus on approximating the target feature distribution by leveraging embeddings from ImageNet models. However, a common issue in many anomaly localization methods is the lack of adaptability of the feature approximations to specific targets. Consequently, their ability to effectively identify anomalous regions relies significantly on the data coverage provided by the finite resources in a memory bank. In this paper, we propose a novel subspace-aware feature reconstruction framework for anomaly localization. To achieve adaptive feature approximation, our proposed method involves the reconstruction of the feature representation through the self-expressive model designed to learn low-dimensional subspaces. Importantly, the sparsity of the subspace representation contributes to covering feature patterns from the same subspace with fewer resources, leading to a reduction in the memory bank. Extensive experiments across three industrial benchmark datasets demonstrate that our approach achieves competitive anomaly localization performance compared to state-of-the-art methods by adaptively reconstructing target features with a small number of samples.

PMSSC: Parallelizable Multi-Subset based Self-Expressive Model for Subspace Clustering

Subspace clustering methods embrace a self-expressive model that represents each data point as a linear combination of other data points in the dataset are powerful unsupervised learning techniques. However, when dealing with large-scale datasets, the representation of each data point by referring to all data points as a dictionary suffers from high computational complexity. To alleviate this issue, we introduce a parallelizable multi-subset based self-expressive model (PMS) which represents each data point by combing multiple subsets, with each consisting of only a small percentage of samples. The adoption of PMS in subspace clustering (PMSSC) leads to computational advantages because each optimization problem decomposed into each subset is small, and can be solved efficiently in parallel. Besides, PMSSC is able to combine multiple self-expressive coefficient vectors obtained from subsets, which contributes to the improvement of self-expressiveness. Extensive experiments on synthetic data and real-world datasets show the efficiency and effectiveness of our approach against competitive methods.

G2MF-WA: Geometric Multi-Model Fitting with Weakly Annotated Data

In this paper we attempt to address the problem of geometric multi-model fitting with resorting to a few weakly annotated (WA) data points, which has been sparsely studied so far. In weak annotating, most of the manual annotations are supposed to be correct yet inevitably mixed with incorrect ones. The WA data can be naturally obtained in an interactive way for specific tasks, for example, in the case of homography estimation, one can easily annotate points on the same plane/object with a single label by observing the image. Motivated by this, we propose a novel method to make full use of the WA data to boost the multi-model fitting performance. Specifically, a graph for model proposal sampling is first constructed using the WA data, given the prior that the WA data annotated with the same weak label has a high probability of being assigned to the same model. By incorporating this prior knowledge into the calculation of edge probabilities, vertices (i.e., data points) lie on/near the latent model are likely to connect together and further form a subset/cluster for effective proposals generation. With the proposals generated, the $\alpha$-expansion is adopted for labeling, and our method in return updates the proposals. This works in an iterative way. Extensive experiments validate our method and show that the proposed method produces noticeably better results than state-of-the-art techniques in most cases.