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This paper introduces a novel anomaly detection framework that combines the robust statistical principles of density-estimation-based anomaly detection methods with the representation-learning capabilities of deep learning models. The…

Machine Learning · Computer Science 2024-08-15 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio A. González

Unsupervised Anomaly Detection has become a popular method to detect pathologies in medical images as it does not require supervision or labels for training. Most commonly, the anomaly detection model generates a "normal" version of an…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Felix Meissen , Johannes Paetzold , Georgios Kaissis , Daniel Rueckert

We develop a sampling scheme on the sphere that permits accurate computation of the spherical harmonic transform and its inverse for signals band-limited at $L$ using only $L^2$ samples. We obtain the optimal number of samples given by the…

Information Theory · Computer Science 2014-07-25 Zubair Khalid , Rodney A. Kennedy , Jason D. McEwen

This paper investigates the inverse scattering problem of recovering a sound-soft obstacle using passive measurements taken from randomly distributed point sources. The randomness introduced by these sources poses significant challenges,…

Numerical Analysis · Mathematics 2024-07-08 Yunwen Yin , Liang Yan

The statistical properties of the density map (DM) approach to counting microbiological objects on images are studied in detail. The DM is given by U$^2$-Net. Two statistical methods for deep neural networks are utilized: the bootstrap and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Krzysztof M. Graczyk , Jaroslaw Pawlowski , Sylwia Majchrowska , Tomasz Golan

The recent theory of compressive sensing leverages upon the structure of signals to acquire them with much fewer measurements than was previously thought necessary, and certainly well below the traditional Nyquist-Shannon sampling rate.…

We propose a sampling scheme on the sphere and develop a corresponding spherical harmonic transform (SHT) for the accurate reconstruction of the diffusion signal in diffusion magnetic resonance imaging (dMRI). By exploiting the antipodal…

Medical Physics · Physics 2015-02-26 Alice P. Bates , Zubair Khalid , Rodney A. Kennedy

In this paper, a novel framework for anomaly estimation is proposed. The basic idea behind our method is to reduce the data into a two-dimensional space and then rank each data point in the reduced space. We attempt to estimate the degree…

Machine Learning · Computer Science 2021-05-12 Zhongping Ji

Synthesizing anomaly samples has proven to be an effective strategy for self-supervised 2D industrial anomaly detection. However, this approach has been rarely explored in multi-modality anomaly detection, particularly involving 3D and RGB…

Computer Vision and Pattern Recognition · Computer Science 2025-06-05 Kecen Li , Bingquan Dai , Jingjing Fu , Xinwen Hou

Statistical shape modeling (SSM) is an essential tool for analyzing variations in anatomical morphology. In a typical SSM pipeline, 3D anatomical images, gone through segmentation and rigid registration, are represented using…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Hong Xu , Shireen Y. Elhabian

Statistical shape modeling is an important tool to characterize variation in anatomical morphology. Typical shapes of interest are measured using 3D imaging and a subsequent pipeline of registration, segmentation, and some extraction of…

Computer Vision and Pattern Recognition · Computer Science 2018-10-02 Riddhish Bhalodia , Shireen Y. Elhabian , Ladislav Kavan , Ross T. Whitaker

Automatic anomaly detection is a major issue in various areas. Beyond mere detection, the identification of the origin of the problem that produced the anomaly is also essential. This paper introduces a general methodology that can assist…

Machine Learning · Statistics 2014-09-17 Tsirizo Rabenoro , Jérôme Lacaille , Marie Cottrell , Fabrice Rossi

Frequent false alarms impede the promotion of unsupervised anomaly detection algorithms in industrial applications. Potential characteristics of false alarms depending on the trained detector are revealed by investigating density…

Computer Vision and Pattern Recognition · Computer Science 2023-02-03 Ji Qiu , Hongmei Shi , Yu Hen Hu , Zujun Yu

This paper discusses the adaptive sampling problem in a nonholonomic mobile robotic sensor network for efficiently monitoring a spatial field. It is proposed to employ Gaussian process to model a spatial phenomenon and predict it at…

Robotics · Computer Science 2021-03-23 Viet-Anh Le , Linh Nguyen , Truong X. Nghiem

In this work, we propose an innovative iterative direct sampling method to solve nonlinear elliptic inverse problems from a limited number of pairs of Cauchy data. It extends the original direct sampling method (DSM) by incorporating an…

Numerical Analysis · Mathematics 2025-03-04 Kazufumi Ito , Bangti Jin , Fengru Wang , Jun Zou

The detection and the quantification of anomalies in image data are critical tasks in industrial scenes such as detecting micro scratches on product. In recent years, due to the difficulty of defining anomalies and the limit of correcting…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Masanari Kimura , Takashi Yanagihara

This paper presents an approach for instantaneous bandwidth estimation from level-crossing (LC) samples using a long short-term memory (LSTM) encoder-decoder architecture. LC sampling is a nonuniform sampling technique that is particularly…

Signal Processing · Electrical Eng. & Systems 2025-04-29 Johannes Königs , Carsten Bockelmann , Armin Dekorsy

Even though image signals are typically acquired on a regular two dimensional grid, there exist many scenarios where non-regular sampling is possible. Non-regular sampling can remove aliasing. In terms of the non-regular sampling patterns,…

Image and Video Processing · Electrical Eng. & Systems 2022-03-02 Simon Grosche , Jürgen Seiler , André Kaup

Image resampling is a necessary component of any operation that changes the size of an image or its geometry. Methods tuned for natural image upsampling (roughly speaking, image enlargement) are analyzed and developed with a focus on their…

Graphics · Computer Science 2015-03-20 Chantal Racette

Unsupervised anomaly detection is a challenging task in industrial applications since it is impracticable to collect sufficient anomalous samples. In this paper, a novel Self-Supervised Guided Segmentation Framework (SGSF) is proposed by…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Peng Xing , Yanpeng Sun , Zechao Li
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