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We evaluate the significance of a recently proposed bivariate jump-diffusion model for a data-driven characterization of interactions between complex dynamical systems. For various coupled and non-coupled jump-diffusion processes, we find…

Data Analysis, Statistics and Probability · Physics 2021-05-26 Esra Aslim , Thorsten Rings , Lina Zabawa , Klaus Lehnertz

In this work, we propose a non-parametric and robust change detection algorithm to detect multiple change points in time series data under contamination. The contamination model is sufficiently general, in that, the most common model used…

Methodology · Statistics 2022-06-24 Sujay Bhatt , Guanhua Fang , Ping Li

We consider linear models with scalar responses and covariates from a separable Hilbert space. The aim is to detect change points in the error distribution, based on sequential residual empirical distribution functions. Expansions for those…

Statistics Theory · Mathematics 2024-11-08 Natalie Neumeyer , Leonie Selk

Large datasets are often affected by cell-wise outliers in the form of missing or erroneous data. However, discarding any samples containing outliers may result in a dataset that is too small to accurately estimate the covariance matrix.…

Statistics Theory · Mathematics 2023-11-13 Karim Lounici , Grégoire Pacreau

We consider the problem of estimating the unconditional distribution of a post-model-selection estimator. The notion of a post-model-selection estimator here refers to the combined procedure resulting from first selecting a model (e.g., by…

Statistics Theory · Mathematics 2007-11-08 Hannes Leeb , Benedikt M. Poetscher

We consider robust location-scale estimators under contamination. We show that commonly used robust estimators such as the median and the Huber estimator are inconsistent under asymmetric contamination, while the Tukey estimator is…

Statistics Theory · Mathematics 2025-02-14 Jens Klooster , Bent Nielsen

We consider computationally-efficient estimation of population parameters when observations are subject to missing data. In particular, we consider estimation under the realizable contamination model of missing data in which an $\epsilon$…

Statistics Theory · Mathematics 2026-03-18 Kabir Aladin Verchand , Ankit Pensia , Saminul Haque , Rohith Kuditipudi

We study the algorithmic problem of robust mean estimation of an identity covariance Gaussian in the presence of mean-shift contamination. In this contamination model, we are given a set of points in $\mathbb{R}^d$ generated i.i.d. via the…

Data Structures and Algorithms · Computer Science 2025-02-21 Ilias Diakonikolas , Giannis Iakovidis , Daniel M. Kane , Thanasis Pittas

Causal influence measures for machine learnt classifiers shed light on the reasons behind classification, and aid in identifying influential input features and revealing their biases. However, such analyses involve evaluating the classifier…

Machine Learning · Computer Science 2018-04-10 Shayak Sen , Piotr Mardziel , Anupam Datta , Matthew Fredrikson

Confounding is a significant obstacle to unbiased estimation of causal effects from observational data. For settings with high-dimensional covariates -- such as text data, genomics, or the behavioral social sciences -- researchers have…

Artificial Intelligence · Computer Science 2024-02-01 Katherine A. Keith , Sergey Feldman , David Jurgens , Jonathan Bragg , Rohit Bhattacharya

We propose a method for filling gaps and removing interferences in time series for applications involving continuous monitoring of environmental variables. The approach is non-parametric and based on an iterative pattern-matching between…

Geophysics · Physics 2015-08-11 Gregoire Mariethoz , Niklas Linde , Damien Jougnot , Hassan Rezaee

We study the conditional expert Kaplan-Meier estimator, an extension of the classical Kaplan--Meier estimator designed for time-to-event data subject to both right-censoring and contamination. Such contamination, where observed events may…

Methodology · Statistics 2026-01-06 Martin Bladt , Kristian Vilhelm Dinesen

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

We consider a longitudinal data structure consisting of baseline covariates, time-varying treatment variables, intermediate time-dependent covariates, and a possibly time dependent outcome. Previous studies have shown that estimating the…

Statistics Theory · Mathematics 2018-10-09 Linh Tran , Maya Petersen , Joshua Schwab , Mark J van der Laan

Background: In longitudinal data, it is common to create 'change scores' by subtracting measurements taken at baseline from those taken at follow-up, and then to analyse the resulting 'change' as the outcome variable. In observational data,…

Methodology · Statistics 2019-07-08 Peter W. G. Tennant , Kellyn F. Arnold , George T. H. Ellison , Mark S. Gilthorpe

Algorithmic robust statistics has traditionally focused on the contamination model where a small fraction of the samples are arbitrarily corrupted. We consider a recent contamination model that combines two kinds of corruptions: (i) small…

Data Structures and Algorithms · Computer Science 2024-10-23 Thanasis Pittas , Ankit Pensia

It is well known that if the power spectral density of a continuous time stationary stochastic process does not have a compact support, data sampled from that process at any uniform sampling rate leads to biased and inconsistent spectrum…

Statistics Theory · Mathematics 2010-06-09 Radhendushka Srivastava , Debasis Sengupta

In dynamic acoustic environments characterized by time-varying interferers and moving sources, effective beamforming requires accurately identifying stationary regions over time. Traditional Capon beamformers rely on the instantaneous…

Sound · Computer Science 2026-05-12 Manan Mittal , Ryan M. Corey , Diego Cuji , John R. Buck , Andrew C. Singer

We consider the problem of combining data from observational and experimental sources to make causal conclusions. This problem is increasingly relevant, as the modern era has yielded passive collection of massive observational datasets in…

Methodology · Statistics 2020-05-19 Evan Rosenman , Guillaume Basse , Art Owen , Michael Baiocchi

Modeling multivariate time series as temporal signals over a (possibly dynamic) graph is an effective representational framework that allows for developing models for time series analysis. In fact, discrete sequences of graphs can be…

Machine Learning · Computer Science 2022-10-11 Ivan Marisca , Andrea Cini , Cesare Alippi