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We present a learning-based outlier-robust filter for a general setup where the measurement noise can be correlated. Since it is an enhanced version of EM-based outlier robust filter (EMORF), we call it as EMORF-II. As it is equipped with…

Machine Learning · Computer Science 2025-09-10 Arslan Majal , Aamir Hussain Chughtai , Muhammad Tahir

Most multivariate outlier detection procedures ignore the spatial dependency of observations, which is present in many real data sets from various application areas. This paper introduces a new outlier detection method that accounts for a…

Methodology · Statistics 2024-01-25 Patricia Puchhammer , Peter Filzmoser

We investigate two important properties of M-estimator, namely, robustness and tractability, in linear regression setting, when the observations are contaminated by some arbitrary outliers. Specifically, robustness means the statistical…

Statistics Theory · Mathematics 2019-06-07 Ruizhi Zhang , Yajun Mei , Jianjun Shi , Huan Xu

We introduce MIM (Masked Image Modeling)-Refiner, a contrastive learning boost for pre-trained MIM models. MIM-Refiner is motivated by the insight that strong representations within MIM models generally reside in intermediate layers.…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Benedikt Alkin , Lukas Miklautz , Sepp Hochreiter , Johannes Brandstetter

Image matching is a fundamental and critical task of multisource remote sensing image applications. However, remote sensing images are susceptible to various noises. Accordingly, how to effectively achieve accurate matching in noise images…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Yuan Li , Dapeng Wu , Yaping Cui , Peng He , Yuan Zhang , Ruyan Wang

We consider a fundamental problem in unsupervised learning called \emph{subspace recovery}: given a collection of $m$ points in $\mathbb{R}^n$, if many but not necessarily all of these points are contained in a $d$-dimensional subspace $T$…

Computational Complexity · Computer Science 2013-12-05 Moritz Hardt , Ankur Moitra

Machine learning models have demonstrated remarkable success across diverse domains but remain vulnerable to adversarial attacks. Empirical defense mechanisms often fail, as new attacks constantly emerge, rendering existing defenses…

Machine Learning · Computer Science 2024-10-25 Anupriya Kumari , Devansh Bhardwaj , Sukrit Jindal

Highly connected and yet sparse graphs (such as expanders or graphs of high treewidth) are fundamental, widely applicable and extensively studied combinatorial objects. We initiate the study of such highly connected graphs that are, in…

Computational Geometry · Computer Science 2013-06-17 Prosenjit Bose , Vida Dujmovic , Pat Morin , Michiel Smid

Automatic segmentation of an image to identify all meaningful parts is one of the most challenging as well as useful tasks in a number of application areas. This is widely studied. Selective segmentation, less studied, aims to use limited…

Numerical Analysis · Mathematics 2019-07-08 Michael Roberts , Ke Chen , Klaus L. Irion

Outlying observations can be challenging to handle and adversely affect subsequent analyses, especially in data with increasing dimensional complexity. Although outliers are not always undesired anomalies in the data and may possess…

Methodology · Statistics 2025-09-18 Anthony-Alexander Christidis , Gabriela Cohen-Freue

During a surface acquisition process using 3D scanners, noise is inevitable and an important step in geometry processing is to remove these noise components from these surfaces (given as points-set or triangulated mesh). The noise-removal…

Graphics · Computer Science 2022-05-16 Sunil Kumar Yadav , Martin Skrodzki , Eric Zimmermann , Konrad Polthier

Variational models with coupling terms are becoming increasingly popular in image analysis. They involve auxiliary variables, such that their energy minimisation splits into multiple fractional steps that can be solved easier and more…

Computer Vision and Pattern Recognition · Computer Science 2019-12-13 Aaron Wewior , Joachim Weickert

Deep neural networks give state-of-the-art accuracy for reconstructing images from few and noisy measurements, a problem arising for example in accelerated magnetic resonance imaging (MRI). However, recent works have raised concerns that…

Image and Video Processing · Electrical Eng. & Systems 2021-06-14 Mohammad Zalbagi Darestani , Akshay S. Chaudhari , Reinhard Heckel

Trajectory Reconstruction (TR) is vital for accurately mapping movement patterns and validating analyses, especially in fields like robotics, biomechanics, and environmental tracking, where data might be missing or affected by outliers.…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Arslan Majal , Aamir Hussain Chughtai

In machine learning approach to image denoising a network is trained to recover a clean image from a noisy one. In this paper a novel structure is proposed based on training multiple specialized networks as opposed to existing structures…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Seyed Mohsen Hosseini

Outlier recognition is a fundamental problem in data analysis and has attracted a great deal of attention in the past decades. However, most existing methods still suffer from several issues such as high time and space complexities or…

Computational Geometry · Computer Science 2019-04-09 Hu Ding , Mingquan Ye

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

Compressed sensing is an image reconstruction technique to achieve high-quality results from limited amount of data. In order to achieve this, it utilizes prior knowledge about the samples that shall be reconstructed. Focusing on image…

Deep neural networks have achieved impressive results in many image classification tasks. However, since their performance is usually measured in controlled settings, it is important to ensure that their decisions remain correct when…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Apostolos Modas

Topological data analysis (TDA) is a rapidly developing collection of methods for studying the shape of point cloud and other data types. One popular approach, designed to be robust to noise and outliers, is to first use a smoothing…

Methodology · Statistics 2017-12-27 Chul Moon , Noah Giansiracusa , Nicole A. Lazar