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Real-world network applications must cope with failing nodes, malicious attacks, or nodes facing corrupted data - data classified as outliers. Our work addresses these concerns in the scope of the sensor network localization problem where,…

最优化与控制 · 数学 2021-10-05 Claudia Soares , João Gomes

Real-world network applications must cope with failing nodes, malicious attacks, or, somehow, nodes facing corrupted data --- classified as outliers. One enabling application is the geographic localization of the network nodes. However,…

最优化与控制 · 数学 2016-10-31 Cláudia Soares , João Gomes

In this paper, we address the problem of how to robustly train a ConvNet for regression, or deep robust regression. Traditionally, deep regression employs the L2 loss function, known to be sensitive to outliers, i.e. samples that either lie…

计算机视觉与模式识别 · 计算机科学 2018-08-29 Stéphane Lathuilière , Pablo Mesejo , Xavier Alameda-Pineda , Radu Horaud

Convolutional Neural Networks (ConvNets) have successfully contributed to improve the accuracy of regression-based methods for computer vision tasks such as human pose estimation, landmark localization, and object detection. The network…

计算机视觉与模式识别 · 计算机科学 2015-09-23 Vasileios Belagiannis , Christian Rupprecht , Gustavo Carneiro , Nassir Navab

We study the problem of estimating a $p$-dimensional $s$-sparse vector in a linear model with Gaussian design and additive noise. In the case where the labels are contaminated by at most $o$ adversarial outliers, we prove that the…

统计理论 · 数学 2019-11-20 Arnak S. Dalalyan , Philip Thompson

When measurements from dynamical systems are noisy, it is useful to have estimation algorithms that have low sensitivity to measurement noises and outliers. In the first set of results described in this paper we obtain optimal estimators…

系统与控制 · 电气工程与系统科学 2022-09-20 Krishan Mohan Nagpal

Gaussian graphical modeling has been widely used to explore various network structures, such as gene regulatory networks and social networks. We often use a penalized maximum likelihood approach with the $L_1$ penalty for learning a…

统计方法学 · 统计学 2017-06-13 Kei Hirose , Hironori Fujisawa , Jun Sese

Indoor localization is critical for IoT applications, yet challenges such as non-Gaussian noise, environmental interference, and measurement outliers hinder the robustness of traditional methods. Existing approaches, including Kalman…

系统与控制 · 电气工程与系统科学 2025-05-14 Zhiyi Zhou , Dongzhuo Liu , Songtao Guo , Yuanyuan Yang

The problem of localizing a set of nodes from relative pairwise measurements is at the core of many applications such as Structure from Motion (SfM), sensor networks, and Simultaneous Localization And Mapping (SLAM). In practical…

统计计算 · 统计学 2019-10-15 Mahroo Bahreinian , Roberto Tron

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

机器人学 · 计算机科学 2019-08-26 Francesco Cursi , Guang-Zhong Yang

The task of robust linear estimation in the presence of outliers is of particular importance in signal processing, statistics and machine learning. Although the problem has been stated a few decades ago and solved using classical…

信息论 · 计算机科学 2023-07-19 George Papageorgiou , Pantelis Bouboulis , Sergios Theodoridis , Kostantinos Themelis

Many applications have been identified which require the deployment of large-scale low-power wireless sensor networks. Some of the deployment environments, however, impose harsh operation conditions due to intense cross-technology…

信号处理 · 电气工程与系统科学 2025-07-08 Abiy Tasissa , Waltenegus Dargie

Gaussian process regression in its most simplified form assumes normal homoscedastic noise and utilizes analytically tractable mean and covariance functions of predictive posterior distribution using Gaussian conditioning. Its…

应用统计 · 统计学 2023-01-20 Pooja Algikar , Lamine Mili

In the past five years, deep learning methods have become state-of-the-art in solving various inverse problems. Before such approaches can find application in safety-critical fields, a verification of their reliability appears mandatory.…

机器学习 · 计算机科学 2023-01-18 Martin Genzel , Jan Macdonald , Maximilian März

Many traditional methods for identifying changepoints can struggle in the presence of outliers, or when the noise is heavy-tailed. Often they will infer additional changepoints in order to fit the outliers. To overcome this problem, data…

统计方法学 · 统计学 2017-07-12 Paul Fearnhead , Guillem Rigaill

Deep neural networks (DNNs) have found widespread applications in interpreting remote sensing (RS) imagery. However, it has been demonstrated in previous works that DNNs are vulnerable to different types of noises, particularly adversarial…

计算机视觉与模式识别 · 计算机科学 2023-09-18 Shaohui Mei , Jiawei Lian , Xiaofei Wang , Yuru Su , Mingyang Ma , Lap-Pui Chau

In many applications of classifier learning, training data suffers from label noise. Deep networks are learned using huge training data where the problem of noisy labels is particularly relevant. The current techniques proposed for learning…

机器学习 · 统计学 2017-12-29 Aritra Ghosh , Himanshu Kumar , P. S. Sastry

We consider the problem of linear fitting of noisy data in the case of broad (say $\alpha$-stable) distributions of random impacts ("noise"), which can lack even the first moment. This situation, common in statistical physics of small…

数据分析、统计与概率 · 物理学 2015-05-27 Eugene B. Postnikov , Igor M. Sokolov

Dynamical systems can confront one of two extreme types of disturbances: persistent zero-mean independent noise, and sparse nonzero-mean adversarial attacks, depending on the specific scenario being modeled. While mean-based estimators like…

最优化与控制 · 数学 2026-03-31 Jihun Kim , Javad Lavaei

Methods based on diffusion models (DMs) for solving inverse problems (IPs) have recently achieved remarkable performance. However, DM-based methods typically struggle against outliers, which are common in real-world measurements. In this…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Yang Zheng , Jiahua Liu , Tongyao Pang , Wen Li , Zhaoqiang Liu
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