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In this paper we consider the drift estimation problem for a general differential equation driven by an additive multidimensional fractional Brownian motion, under ergodic assumptions on the drift coefficient. Our estimation procedure is…

Statistics Theory · Mathematics 2020-07-16 Fabien Panloup , Samy Tindel , Maylis Varvenne

Instrumental variable regression is a common approach for causal inference in the presence of unobserved confounding. However, identifying valid instruments is often difficult in practice. In this paper, we propose a novel method based on…

Methodology · Statistics 2026-01-22 Gregor Steiner , Jeremie Houssineau , Mark F. J. Steel

Predicting the motion of a driver's vehicle is crucial for advanced driving systems, enabling detection of potential risks towards shared control between the driver and automation systems. In this paper, we propose a variational neural…

Robotics · Computer Science 2019-03-07 Xin Huang , Stephen McGill , Brian C. Williams , Luke Fletcher , Guy Rosman

Small ions are part of the atmospheric aerosol spectrum, and study of ion-aerosol interactions is fundamental in atmospheric physics. Air ion physics and instrumentation are reviewed, including the historical context. A miniaturised Gerdien…

Atmospheric and Oceanic Physics · Physics 2016-09-08 K. L. Aplin

We provide a non-asymptotic analysis of the linear instrumental variable estimator allowing for the presence of exogeneous covariates. In addition, we introduce a novel measure of the strength of an instrument that can be used to derive…

Statistics Theory · Mathematics 2024-10-04 Eric Xia , Martin J. Wainwright , Whitney Newey

This paper deals with the issue of concept drift in supervised machine learn-ing. We make use of graphical models to elicit the visible structure of the dataand we infer from there changes in the hidden context. Differently from previous…

Machine Learning · Computer Science 2021-02-03 Luigi Riso , Marco Guerzoni

Any measurement in condition monitoring applications is associated with disturbing noise. Till now, most of the diagnostic procedures have assumed the Gaussian distribution for the noise. This paper shares a novel perspective to the problem…

We study the estimation of time-homogeneous drift functions in multivariate stochastic differential equations with known diffusion coefficient, from multiple trajectories observed at high frequency over a fixed time horizon. We formulate…

Machine Learning · Statistics 2026-02-23 Marcos Tapia Costa , Nikolas Kantas , George Deligiannidis

Instrumental variables are a popular study design for the estimation of treatment effects in the presence of unobserved confounders. In the canonical instrumental variables design, the instrument is a binary variable. In many settings,…

Methodology · Statistics 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele

Global physical event detection has traditionally relied on dense coverage of physical sensors around the world; while this is an expensive undertaking, there have not been alternatives until recently. The ubiquity of social networks and…

Machine Learning · Computer Science 2019-12-16 Abhijit Suprem , Calton Pu

Sequential monitoring of images has broad applications across various domains, including climate science, ecosystem monitoring, medical diagnostics, and so forth. In many such applications, images acquired over time exhibit gradual changes,…

Applications · Statistics 2025-06-18 Subhasish Basak , Anik Roy , Partha Sarathi Mukherjee

Instrumental variable methods can identify causal effects even when the treatment and outcome are confounded. We study the problem of imperfect measurements of the binary instrumental variable, treatment or outcome. We first consider…

Methodology · Statistics 2019-06-06 Zhichao Jiang , Peng Ding

This paper considers the problem of estimating linear dynamic system models when the observations are corrupted by random disturbances with nonstandard distributions. The paper is particularly motivated by applications where sensor…

Methodology · Statistics 2018-07-09 Johan Dahlin , Adrian Wills , Brett Ninness

Drift in machine learning refers to the phenomenon where the statistical properties of data or context, in which the model operates, change over time leading to a decrease in its performance. Therefore, maintaining a constant monitoring…

Computation and Language · Computer Science 2023-09-08 Saeed Khaki , Akhouri Abhinav Aditya , Zohar Karnin , Lan Ma , Olivia Pan , Samarth Marudheri Chandrashekar

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

Methodology · Statistics 2023-09-07 Valentin Vancak , Arvid Sjölander

Detecting drifts in data is essential for machine learning applications, as changes in the statistics of processed data typically has a profound influence on the performance of trained models. Most of the available drift detection methods…

Machine Learning · Computer Science 2024-10-28 Andrea Castellani , Sebastian Schmitt , Barbara Hammer

Drift-diffusion analysis has been introduced in physics as a method to study turbulent flows. In the current study, it is proposed to use the method to identify underlying dynamical models of particulate matter smog, ozone and nitrogen…

Atmospheric and Oceanic Physics · Physics 2019-07-03 T. Varapongpisan , L. Ingsrisawang , T. D. Frank

A system's internal dynamics and its interaction with the environment can be determined by tracking how external perturbations affect its transition rates between states. Quantitative measurements of these rates are crucial for optimizing…

Concept drift detection has attracted considerable attention due to its importance in many real-world applications such as health monitoring and fault diagnosis. Conventionally, most advanced approaches will be of poor performance when the…

Machine Learning · Computer Science 2023-03-31 Songqiao Hu , Zeyi Liu , Xiao He

Predictive models often degrade in performance due to evolving data distributions, a phenomenon known as data drift. Among its forms, concept drift, where the relationship between explanatory variables and the response variable changes, is…

Machine Learning · Statistics 2026-05-18 Ugur Dar , Mustafa Cavus