Anomaly Detection using Generative Models and Sum-Product Networks in Mammography Scans Marc Dietrichstein1 David Major1 Martin Trapp2 Maria Wimmer1

2025-04-27 0 0 533.9KB 10 页 10玖币
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Anomaly Detection using Generative Models and
Sum-Product Networks in Mammography Scans
Marc Dietrichstein1?, David Major1?, Martin Trapp2, Maria Wimmer1,
Dimitrios Lenis1, Philip Winter1, Astrid Berg1, Theresa Neubauer1, and
Katja Bühler1
1VRVis Zentrum für Virtual Reality und Visualisierung Forschungs-GmbH,
Vienna, Austria
david.major@vrvis.at
2Department of Computer Science, Aalto University, Espoo, Finland ??
Abstract. Unsupervised anomaly detection models which are trained
solely by healthy data, have gained importance in the recent years, as
the annotation of medical data is a tedious task. Autoencoders and gen-
erative adversarial networks are the standard anomaly detection methods
that are utilized to learn the data distribution. However, they fall short
when it comes to inference and evaluation of the likelihood of test sam-
ples. We propose a novel combination of generative models and a proba-
bilistic graphical model. After encoding image samples by autoencoders,
the distribution of data is modeled by Random and Tensorized Sum-
Product Networks ensuring exact and efficient inference at test time. We
evaluate different autoencoder architectures in combination with Ran-
dom and Tensorized Sum-Product Networks on mammography images
using patch-wise processing and observe superior performance over uti-
lizing the models standalone and state-of-the-art in anomaly detection
for medical data.
Keywords: Anomaly Detection ·Generative Models ·Sum-Product
Networks ·Mammography.
1 Introduction
Acceleration of the detection and segmentation of anomalous tissue by auto-
mated computer aided approaches is a key for enhancing cancer screening pro-
grams. It is especially important for mammography screening, as breast cancer
is the most common cancer type and the leading cause of death in women world-
wide [20]. Training an artificial neural network in a supervised way needs a high
?Equal contribution
?? This preprint has not undergone peer review (when applicable) or any post-
submission improvements or corrections. The Version of Record of this contribution
is published in LNCS 13609, and is available online at https://doi.org/10.1007/978-
3-031-18576-2 8.
arXiv:2210.06188v1 [cs.CV] 12 Oct 2022
2 M. Dietrichstein and D. Major et al.
amount of pixel-wise annotated data. As data annotation is very costly, meth-
ods which involve as less annotation as possible, are of high demand. Anomaly
detection approaches are good representatives of this type, as they only uti-
lize healthy cases for learning, and anomalous spots are detected as a deviation
from the learned data distribution. The deviation is measured either by straight-
forward metrics such as reconstruction error of input and output samples or by
more sophisticated constructs such as log-likelihood in probabilistic models.
Unsupervised anomaly detection methods have been evaluated on a plethora
of different pathologies and medical imaging modalities. A state-of-the-art method
in this area is f-AnoGAN [14] which leverages Generative Adversarial Networks
(GANs) to model an implicit distribution of healthy images and detect outliers
via a custom anomaly score based on reconstruction performance. f-AnoGAN
has been utilized to detect anomalies in OCT scans [14], Chest X-rays [1] and
3D Brain scans [16]. However, it requires the training of a separate encoder
module to obtain latent codes of images, which are used by the generator for
reconstruction. The autoencoder architecture (AE) on the other hand jointly
trains an encoder and decoder and is thus able to directly map an input to
its corresponding latent representation. AE variants have been applied to le-
sion detection in mammography images [19] and brain scans [8,21] as well as
head [13] and abdomen [8] CT scans. However, the practical applicability of all
those models is limited by the fact that the respective anomaly scores are not
easily interpretable by a human decision maker. Here, to remedy the situation,
it would be desirable for the model to provide some degree of certainty for its
decision. To this end, density estimation models can be employed. Such models
learn an explicit probability density function from the training data and assume
that anomalous samples are located within low-density regions. Examples are
the application of Gaussian Mixture Models (GMMs) [2] for brain lesion detec-
tion as well as Bayesian U-Nets for OCT anomaly detection [15]. Although these
approaches are similar to ours, they are tailored to specific image modalities and
can thus not be directly and easily applied to our domain.
In this work, we introduce a novel and general method for anomaly detec-
tion which combines AE architectures with probabilistic graphical models called
Sum-Product Networks (SPNs). A recent powerful SPN-type called Random and
Tensorized SPN (RAT-SPN) [11] was chosen, as they are easy to integrate into
deep learning frameworks and are trained by GPU-based optimization. More
than that, while standard and variatonal AEs only provide either simple image
reconstruction based or the evidence lower bound based inference metrics for
anomaly detection, SPNs, on the other hand, allow exact and efficient likeli-
hood inference by imposing special structural constraints on modeling the data
distribution. Therefore, we compare different AE architectures combined with
RAT-SPNs on the unsupervised lesion and calcification detection use-case in
public mammography scans and demonstrate improved performance.
摘要:

AnomalyDetectionusingGenerativeModelsandSum-ProductNetworksinMammographyScansMarcDietrichstein1?,DavidMajor1?,MartinTrapp2,MariaWimmer1,DimitriosLenis1,PhilipWinter1,AstridBerg1,TheresaNeubauer1,andKatjaBühler11VRVisZentrumfürVirtualRealityundVisualisierungForschungs-GmbH,Vienna,Austriadavid.major@v...

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