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Robust Bayesian inference using density power divergence (DPD) has emerged as a promising approach for handling outliers in statistical estimation. Although the DPD-based posterior offers theoretical guarantees of robustness, its practical…

Methodology · Statistics 2025-12-11 Naruki Sonobe , Tomotaka Momozaki , Tomoyuki Nakagawa

High-dimensional data poses unique challenges in outlier detection process. Most of the existing algorithms fail to properly address the issues stemming from a large number of features. In particular, outlier detection algorithms perform…

Machine Learning · Computer Science 2020-09-22 Firuz Kamalov , Ho Hon Leung

Unsupervised dimensionality reduction is one of the commonly used techniques in the field of high dimensional data recognition problems. The deep autoencoder network which constrains the weights to be non-negative, can learn a low…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Anyong Qin , Zhaowei Shang , Zhuolin Tan , Taiping Zhang , Yuan Yan Tang

We propose a new probabilistic characterization of the uniform distribution on the hypersphere in terms of the distribution of pairwise inner products, extending the ideas of \citep{cuesta2009projection,cuesta2007sharp} in a data-driven…

Statistics Theory · Mathematics 2026-04-14 Tiefeng Jiang , Tuan Pham

Many computer vision tasks involve processing large amounts of data contaminated by outliers, which need to be detected and rejected. While outlier detection methods based on robust statistics have existed for decades, only recently have…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Chong You , Daniel P. Robinson , René Vidal

We propose a new approach for the problem of relative depth estimation from a single image. Instead of directly regressing over depth scores, we formulate the problem as estimation of a probability distribution over depth and aim to learn…

Computer Vision and Pattern Recognition · Computer Science 2020-10-15 Alican Mertan , Yusuf Huseyin Sahin , Damien Jade Duff , Gozde Unal

We propose a neural network for unsupervised anomaly detection with a novel robust subspace recovery layer (RSR layer). This layer seeks to extract the underlying subspace from a latent representation of the given data and removes outliers…

Machine Learning · Computer Science 2022-01-19 Chieh-Hsin Lai , Dongmian Zou , Gilad Lerman

Anomaly detection in dynamic graphs is a critical task with broad real-world applications, including social networks, e-commerce, and cybersecurity. Most existing methods assume that normal patterns remain stable over time; however, this…

Machine Learning · Computer Science 2025-09-23 Xiaoyang Xu , Xiaofeng Lin , Koh Takeuchi , Kyohei Atarashi , Hisashi Kashima

We consider a multi-object detection problem over a sensor network (SNET) with limited range sensors. This problem complements the widely considered decentralized detection problem where all sensors observe the same object. While the…

Information Theory · Computer Science 2016-11-17 Erhan B. Ermis , Venkatesh Saligrama

Out-of-distribution (OOD) detection is an important task in machine learning systems for ensuring their reliability and safety. Deep probabilistic generative models facilitate OOD detection by estimating the likelihood of a data sample.…

Machine Learning · Computer Science 2021-06-16 Jaemoo Choi , Changyeon Yoon , Jeongwoo Bae , Myungjoo Kang

Existing approaches to depth or disparity estimation output a distribution over a set of pre-defined discrete values. This leads to inaccurate results when the true depth or disparity does not match any of these values. The fact that this…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Divyansh Garg , Yan Wang , Bharath Hariharan , Mark Campbell , Kilian Q. Weinberger , Wei-Lun Chao

Estimating probability distributions which describe where an object is likely to be from camera data is a task with many applications. In this work we describe properties which we argue such methods should conform to. We also design a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-10 David Mohlin , Josephine Sullivan

Accurate noise modelling is important for training of deep learning reconstruction algorithms. While noise models are well known for traditional imaging techniques, the noise distribution of a novel sensor may be difficult to determine a…

Machine Learning · Computer Science 2018-07-11 Felix Horger , Tobias Würfl , Vincent Christlein , Andreas Maier

Anomaly detection is to recognize samples that differ in some respect from the training observations. These samples which do not conform to the distribution of normal data are called outliers or anomalies. In real-world anomaly detection…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Vahid Reza Khazaie , Anthony Wong , Yalda Mohsenzadeh

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

We present a new method of training energy-based models (EBMs) for anomaly detection that leverages low-dimensional structures within data. The proposed algorithm, Manifold Projection-Diffusion Recovery (MPDR), first perturbs a data point…

Machine Learning · Computer Science 2023-10-31 Sangwoong Yoon , Young-Uk Jin , Yung-Kyun Noh , Frank C. Park

The lack of well-calibrated confidence estimates makes neural networks inadequate in safety-critical domains such as autonomous driving or healthcare. In these settings, having the ability to abstain from making a prediction on…

Machine Learning · Computer Science 2022-07-27 Adam Dziedzic , Stephan Rabanser , Mohammad Yaghini , Armin Ale , Murat A. Erdogdu , Nicolas Papernot

We focus on the problem of identifying samples in a set that do not conform to structured patterns represented by low-dimensional manifolds. An effective way to solve this problem is to embed data in a high dimensional space, called…

Machine Learning · Computer Science 2025-05-19 Filippo Leveni , Luca Magri , Cesare Alippi , Giacomo Boracchi

The measurement data collected from the supervisory control and data acquisition (SCADA) system installed in distribution network can reflect the operational state of the network effectively. In this paper, a random matrix theory (RMT)…

Applications · Statistics 2020-03-12 Xin Shi , Robert Qiu , Xing He , Zenan Ling , Haosen Yang , Lei Chu

We introduce Neural Representation of Distribution (NeRD) technique, a module for convolutional neural networks (CNNs) that can estimate the feature distribution by optimizing an underlying function mapping image coordinates to the feature…

Image and Video Processing · Electrical Eng. & Systems 2021-03-10 Hang Zhang , Rongguang Wang , Jinwei Zhang , Chao Li , Gufeng Yang , Pascal Spincemaille , Thanh Nguyen , Yi Wang