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Recurrent Neural networks (RNN) have shown promising potential for learning dynamics of sequential data. However, artificial neural networks are known to exhibit poor robustness in presence of input noise, where the sequential architecture…

Machine Learning · Computer Science 2021-05-05 Arash Amini , Guangyi Liu , Nader Motee

Although machine learning models typically experience a drop in performance on out-of-distribution data, accuracies on in- versus out-of-distribution data are widely observed to follow a single linear trend when evaluated across a testbed…

Machine Learning · Computer Science 2021-07-01 Anders Andreassen , Yasaman Bahri , Behnam Neyshabur , Rebecca Roelofs

The Residual Congruent Subset (RCS) is a new method for finding outliers in the linear regression setting. Like many other outlier detection procedures, RCS searches for a subset which minimizes a criterion. The difference is that the new…

Methodology · Statistics 2014-02-18 Kaveh Vakili , Eric Schmitt

Neural network models have become the leading solution for a large variety of tasks, such as classification, language processing, protein folding, and others. However, their reliability is heavily plagued by adversarial inputs: small input…

Machine Learning · Computer Science 2022-10-04 Natan Levy , Guy Katz

Automated machine learning has been widely researched and adopted in the field of supervised classification and regression, but progress in unsupervised settings has been limited. We propose a novel approach to automate outlier detection…

Machine Learning · Computer Science 2024-09-10 Prabhant Singh , Joaquin Vanschoren

This note investigates the problem of detecting outliers in longitudinal data. It compares well-known methods used in official statistics with proposals from the fields of data mining and machine learning that are based on the distance…

Methodology · Statistics 2025-07-30 Marcello D'Orazio

A popular approach for comparing gene expression levels between (replicated) conditions of RNA sequencing data relies on counting reads that map to features of interest. Within such count-based methods, many flexible and advanced…

Quantitative Methods · Quantitative Biology 2014-03-17 Xiaobei Zhou , Helen Lindsay , Mark D. Robinson

Functional logistic regression is a popular model to capture a linear relationship between binary response and functional predictor variables. However, many methods used for parameter estimation in functional logistic regression are…

Methodology · Statistics 2025-10-15 Berkay Akturk , Ufuk Beyaztas , Han Lin Shang

Repeated measures of biomarkers have the potential of explaining hazards of survival outcomes. In practice, these measurements are intermittently measured and are known to be subject to substantial measurement error. Joint modelling of…

Applications · Statistics 2019-12-12 Lisa McFetridge , Ozgur Asar , Jonas Wallin

The combination of the Internet of Things and the Edge Computing gives many opportunities to support innovative applications close to end users. Numerous devices present in both infrastructures can collect data upon which various processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-02 Kostas Kolomvatsos , Christos Anagnostopoulos

In different fields of applications including, but not limited to, behavioral, environmental, medical sciences and econometrics, the use of panel data regression models has become increasingly popular as a general framework for making…

Methodology · Statistics 2020-05-15 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

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…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Eugene B. Postnikov , Igor M. Sokolov

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

This paper evaluates algorithms for classification and outlier detection accuracies in temporal data. We focus on algorithms that train and classify rapidly and can be used for systems that need to incorporate new data regularly. Hence, we…

Machine Learning · Statistics 2018-05-03 Victoria J. Hodge , Jim Austin

In the real world, a learning system could receive an input that is unlike anything it has seen during training. Unfortunately, out-of-distribution samples can lead to unpredictable behaviour. We need to know whether any given input belongs…

Machine Learning · Computer Science 2019-08-21 Alireza Shafaei , Mark Schmidt , James J. Little

In many applications, when building linear regression models, it is important to account for the presence of outliers, i.e., corrupted input data points. Such problems can be formulated as mixed-integer optimization problems involving cubic…

Optimization and Control · Mathematics 2023-07-13 Andrés Gómez , José Neto

We study the robustness properties of $\ell_1$ norm minimization for the classical linear regression problem with a given design matrix and contamination restricted to the dependent variable. We perform a fine error analysis of the $\ell_1$…

Optimization and Control · Mathematics 2014-02-26 Salvador Flores , Luis M. Briceno-Arias

Model averaging is an alternative to model selection for dealing with model uncertainty, which is widely used and very valuable. However, most of the existing model averaging methods are proposed based on the least squares loss function,…

Methodology · Statistics 2019-10-29 Miaomiao Wang , Guohua Zou

Nonparametric methods are widely applicable to statistical inference problems, since they rely on a few modeling assumptions. In this context, the fresh look advocated here permeates benefits from variable selection and compressive…

Machine Learning · Statistics 2015-03-19 Gonzalo Mateos , Georgios B. Giannakis

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
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