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Determining the number of factors in high-dimensional factor modeling is essential but challenging, especially when the data are heavy-tailed. In this paper, we introduce a new estimator based on the spectral properties of Spearman sample…

Methodology · Statistics 2024-08-29 Jiaxin Qiu , Zeng Li , Jianfeng Yao

Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

Methodology · Statistics 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh

We introduce an adaptive output-sensitive Metropolis-Hastings algorithm for probabilistic models expressed as programs, Adaptive Lightweight Metropolis-Hastings (AdLMH). The algorithm extends Lightweight Metropolis-Hastings (LMH) by…

Artificial Intelligence · Computer Science 2015-05-07 David Tolpin , Jan Willem van de Meent , Brooks Paige , Frank Wood

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Krishan Mohan Nagpal

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,…

Optimization and Control · Mathematics 2016-10-31 Cláudia Soares , João Gomes

Outlier-robust estimation is a fundamental problem and has been extensively investigated by statisticians and practitioners. The last few years have seen a convergence across research fields towards "algorithmic robust statistics", which…

Machine Learning · Statistics 2022-12-19 Luca Carlone

Robust estimators and Wald-type tests are developed for the multinomial logistic regression based on $\phi$-divergence measures. The robustness of the proposed estimators and tests is proved through the study of their influence functions…

Statistics Theory · Mathematics 2021-02-08 Elena Castilla , Pedro J. Chocano

Generalized Linear Models are routinely used in data analysis. The classical procedures for estimation are based on Maximum Likelihood and it is well known that the presence of outliers can have a large impact on this estimator. Robust…

Computation · Statistics 2017-10-02 Marina Valdora , Claudio Agostinelli , Victor J. Yohai

In this paper we describe a probabilistic method for estimating the position of an object along with its covariance matrix using neural networks. Our method is designed to be robust to outliers, have bounded gradients with respect to the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-22 David Mohlin , Gerald Bianchi , Josephine Sullivan

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…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Zhiyi Zhou , Dongzhuo Liu , Songtao Guo , Yuanyuan Yang

Modern machine learning-based wireless localization using Wi-Fi signals continues to face significant challenges in achieving groundbreaking performance across diverse environments. A major limitation is that most existing algorithms do not…

Machine Learning · Computer Science 2026-02-20 Ayush Roy , Tahsin Fuad Hassan , Roshan Ayyalasomayajula , Vishnu Suresh Lokhande

The inflated beta regression model is widely used for modeling continuous proportions with values at the boundaries. Maximum likelihood estimation for these models is well-known for its sensitivity to outliers, which can severely distort…

Methodology · Statistics 2026-05-15 Francisco Felipe Queiroz , Silvia Lopes de Paula Ferrari

Recent advances in machine learning make it possible to design efficient prediction algorithms for data sets with huge numbers of parameters. This paper describes a new technique for "hedging" the predictions output by many such algorithms,…

Machine Learning · Computer Science 2011-11-22 Alexander Gammerman , Vladimir Vovk

Advances in computing power enable more widespread use of the mode, which is a natural measure of central tendency since, as the most probable value, it is not influenced by the tails in the distribution. The properties of the half-sample…

Statistics Theory · Mathematics 2007-06-13 David R. Bickel , Rudolf Fruehwirth

In complex survey data, each sampled observation has assigned a sampling weight, indicating the number of units that it represents in the population. Whether sampling weights should or not be considered in the estimation process of model…

Methodology · Statistics 2024-09-20 Amaia Iparragirre , Irantzu Barrio , Jorge Aramendi , Inmaculada Arostegui

$3$D structure recovery from a collection of $2$D images requires the estimation of the camera locations and orientations, i.e. the camera motion. For large, irregular collections of images, existing methods for the location estimation…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Onur Ozyesil , Amit Singer

Systematic variation is a common issue in metabolomics data analysis. Therefore, different scaling and normalization techniques are used to preprocess the data for metabolomics data analysis. Although several scaling methods are available…

Machine Learning · Statistics 2022-08-02 Biplab Biswas , Nishith Kumar , Md Aminul Hoque , Md Ashad Alam

We introduce and study a family of robust estimators for the functional logistic regression model whose robustness automatically adapts to the data thereby leading to estimators with high efficiency in clean data and a high degree of…

Methodology · Statistics 2023-05-03 Ioannis Kalogridis

A new method for estimating the relative positions of location-unaware nodes from the location-aware nodes and the received signal strength (RSS) between the nodes, in a wireless sensor network (WSN), is proposed. In the method, a…

Networking and Internet Architecture · Computer Science 2014-02-11 R. C. Nongpiur

This work investigates the task of estimating a real valued parameter vector based on complex valued measurements in a classical set-up. The application of standard estimators in general results in complex valued estimates of the real…

Statistics Theory · Mathematics 2017-05-01 Oliver Lang , Mario Huemer