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The application of machine learning in safety-critical systems requires a reliable assessment of uncertainty. However, deep neural networks are known to produce highly overconfident predictions on out-of-distribution (OOD) data. Even if…

Machine Learning · Computer Science 2022-10-19 Alexander Meinke , Julian Bitterwolf , Matthias Hein

A robust estimator is proposed for the parameters that characterize the linear regression problem. It is based on the notion of shrinkages, often used in Finance and previously studied for outlier detection in multivariate data. A thorough…

Methodology · Statistics 2020-02-07 Elisa Cabana , Rosa E. Lillo , Henry Laniado

Ensemble techniques are powerful approaches that combine several weak learners to build a stronger one. As a meta-learning framework, ensemble techniques can easily be applied to many machine learning methods. Inspired by ensemble…

Machine Learning · Computer Science 2018-10-29 Hamideh Hajiabadi , Reza Monsefi , Hadi Sadoghi Yazdi

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,…

Optimization and Control · Mathematics 2021-10-05 Claudia Soares , João Gomes

Walley's Imprecise Dirichlet Model (IDM) for categorical data overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in practice, one needs efficient ways for computing the…

Probability · Mathematics 2007-07-16 Marcus Hutter

We derive a convex optimization problem for the task of segmenting sequential data, which explicitly treats presence of outliers. We describe two algorithms for solving this problem, one exact and one a top-down novel approach, and we…

Machine Learning · Computer Science 2014-11-19 Itamar Katz , Koby Crammer

In many supervised learning applications, the response consists of both continuous and binary outcomes. Studies have shown that jointly modeling such mixed-type responses can substantially improve predictive performance compared to separate…

Methodology · Statistics 2026-03-13 Yu Wang , Ran Jin , Lulu Kang

Recently, adversarial deception becomes one of the most considerable threats to deep neural networks. However, compared to extensive research in new designs of various adversarial attacks and defenses, the neural networks' intrinsic…

Machine Learning · Computer Science 2019-05-13 Fuxun Yu , Zhuwei Qin , Chenchen Liu , Liang Zhao , Yanzhi Wang , Xiang Chen

Outlier detection is a fundamental task in data mining and has many applications including detecting errors in databases. While there has been extensive prior work on methods for outlier detection, modern datasets often have sizes that are…

Machine Learning · Computer Science 2019-08-01 Laure Berti-Equille , Ji Meng Loh , Saravanan Thirumuruganathan

Random forests are a statistical learning method widely used in many areas of scientific research because of its ability to learn complex relationships between input and output variables and also its capacity to handle high-dimensional…

Machine Learning · Statistics 2024-02-19 Louis Capitaine , Jérémie Bigot , Rodolphe Thiébaut , Robin Genuer

In data analysis, contamination caused by outliers is inevitable, and robust statistical methods are strongly demanded. In this paper, our concern is to develop a new approach for robust data analysis based on scoring rules. The scoring…

Statistics Theory · Mathematics 2013-11-22 Takafumi Kanamori , Hironori Fujisawa

While robust divergence such as density power divergence and $\gamma$-divergence is helpful for robust statistical inference in the presence of outliers, the tuning parameter that controls the degree of robustness is chosen in a…

Methodology · Statistics 2021-09-15 Shonosuke Sugasawa , Shouto Yonekura

Decision Trees (DTs) and Random Forests (RFs) are powerful discriminative learners and tools of central importance to the everyday machine learning practitioner and data scientist. Due to their discriminative nature, however, they lack…

Machine Learning · Computer Science 2020-11-20 Alvaro H. C. Correia , Robert Peharz , Cassio de Campos

Accurate state and uncertainty estimation is imperative for mobile robots and self driving vehicles to achieve safe navigation in pedestrian rich environments. A critical component of state and uncertainty estimation for robot navigation is…

Robotics · Computer Science 2021-04-08 Kapil D. Katyal , I-Jeng Wang , Gregory D. Hager

State filtering is a key problem in many signal processing applications. From a series of noisy measurement, one would like to estimate the state of some dynamic system. Existing techniques usually adopt a Gaussian noise assumption which…

Methodology · Statistics 2016-12-16 Bin Liu

Given a dataset an outlier can be defined as an observation that it is unlikely to follow the statistical properties of the majority of the data. Computation of the location estimate of is fundamental in data analysis, and it is well known…

Statistics Theory · Mathematics 2015-11-16 G. Zioutas , C. Chatzinakos , T. D. Nguyen , L. Pitsoulis

The effectiveness of anomaly signal detection can be significantly undermined by the inherent uncertainty of relying on one specified model. Under the framework of model average methods, this paper proposes a novel criterion to select the…

Machine Learning · Statistics 2024-05-30 Gaoxiang Zhao , Lu Wang , Xiaoqiang Wang

Regression neural networks (NNs) are most commonly trained by minimizing the mean squared prediction error, which is highly sensitive to outliers and data contamination. Existing robust training methods for regression NNs are often limited…

Machine Learning · Statistics 2026-02-10 Abhik Ghosh , Suryasis Jana

Data-driven computing in applied mechanics utilizes the material data set directly, and hence is free from errors and uncertainties stemming from the conventional material modeling. This paper presents a data-driven approach that is robust…

Numerical Analysis · Mathematics 2019-01-25 Yoshihiro Kanno

We study the problem of estimating the ridges of a density function. Ridge estimation is an extension of mode finding and is useful for understanding the structure of a density. It can also be used to find hidden structure in point cloud…

Statistics Theory · Mathematics 2014-08-29 Christopher R. Genovese , Marco Perone-Pacifico , Isabella Verdinelli , Larry Wasserman
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