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Concept drift refers to the change of data distributions over time. While drift poses a challenge for learning models, requiring their continual adaption, it is also relevant in system monitoring to detect malfunctions, system failures, and…

Machine Learning · Computer Science 2025-02-07 Fabian Hinder , Valerie Vaquet , Barbara Hammer

This work is concerned with the stability properties of linear stochastic differential equations with random (drift and diffusion) coefficient matrices, and the stability of a corresponding random transition matrix (or exponential…

Probability · Mathematics 2019-05-02 Adrian N. Bishop , Pierre Del Moral

We study a discrete-time portfolio selection problem with partial information and maxi\-mum drawdown constraint. Drift uncertainty in the multidimensional framework is modeled by a prior probability distribution. In this Bayesian framework,…

Portfolio Management · Quantitative Finance 2020-11-02 Carmine De Franco , Johann Nicolle , Huyên Pham

In this paper, we propose a new distribution with unitary support which can be characterized as a ratio of the type $W=X_1/(X_1+X_2)$, where $(X_1, X_2)^\top$ follows a bivariate extreme distribution with Fr\'echet margins, that is, $X_1$…

Methodology · Statistics 2025-01-03 Roberto Vila , Felipe Quintino

This article addresses the challenge of adapting data-based models over time. We propose a novel two-fold modelling architecture designed to correct plant-model mismatch caused by two types of uncertainty. Out-of-domain uncertainty arises…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Laura Boca de Giuli , Alessio La Bella , Riccardo Scattolini

The ability to detect and adapt to changes in data distributions is crucial to maintain the accuracy and reliability of machine learning models. Detection is generally approached by observing the drift of model performance from a global…

Machine Learning · Computer Science 2025-05-22 Flavio Giobergia , Eliana Pastor , Luca de Alfaro , Elena Baralis

We study the first-passage time, the distribution of the maximum, and the absorption probability of fractional Brownian motion of Hurst parameter $H$ with both a linear and a non-linear drift. The latter appears naturally when applying…

Statistical Mechanics · Physics 2020-08-12 Maxence Arutkin , Benjamin Walter , Kay Joerg Wiese

The problem of reconstructing the drift of a diffusion in $\erre^d$, $d\geq 2$, from the transition probability density observed outside a domain is considered. The solution of this problem also solves a new inverse problem for a class of…

Probability · Mathematics 2007-06-13 Sergio Albeverio , Carlo Marinelli

Temporal distribution shifts pose a key challenge for machine learning models trained and deployed in dynamically evolving environments. This paper introduces RIDER (RIsk minimization under Dynamically Evolving Regimes) which derives…

Methodology · Statistics 2025-07-18 Yujin Jeong , Ramesh Johari , Dominik Rothenhäusler , Emily Fox

The evolution of the allelic proportion $x$ of a biallelic locus subject to the forces of mutation and drift is investigated in a diffusion model, assuming small scaled mutation rates. The overall scaled mutation rate is parametrized with…

Populations and Evolution · Quantitative Biology 2014-09-09 Claus Vogl

For genetic algorithms using a bit-string representation of length~$n$, the general recommendation is to take $1/n$ as mutation rate. In this work, we discuss whether this is really justified for multimodal functions. Taking jump functions…

Neural and Evolutionary Computing · Computer Science 2017-03-23 Benjamin Doerr , Huu Phuoc Le , Régis Makhmara , Ta Duy Nguyen

Accurate time series forecasting models are often compromised by data drift, where underlying data distributions change over time, leading to significant declines in prediction performance. To address this challenge, this study proposes an…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Nikhil Pawar , Guilherme Vieira Hollweg , Akhtar Hussain , Wencong Su , Van-Hai Bui

Drifting Models [Deng et al., 2026] train a one-step generator by evolving samples under a kernel-based drift field, avoiding ODE integration at inference. The original analysis leaves two questions open. The drift-field iteration admits a…

Machine Learning · Computer Science 2026-04-21 Arkadii Kazanskii , Tatiana Petrova , Konstantin Bagrianskii , Aleksandr Puzikov , Radu State

Variable division and optimization (D\&O) is a frequently utilized algorithm design paradigm in Evolutionary Algorithms (EAs). A D\&O EA divides a variable into partial variables and then optimize them respectively. A complicated problem is…

Neural and Evolutionary Computing · Computer Science 2021-01-22 Yi Chen , Aimin Zhou

The problem of eliminating fast-relaxing variables to obtain an effective drift-diffusion process in position is solved in a uniform and straightforward way for models with velocity a function jointly of position and fast variables. A more…

Statistical Mechanics · Physics 2019-11-13 Paul E. Lammert

Uncertain changes in data streams present challenges for machine learning models to dynamically adapt and uphold performance in real-time. Particularly, classification boundary change, also known as real concept drift, is the major cause of…

Machine Learning · Computer Science 2024-05-24 Feng Gu , Jie Lu , Zhen Fang , Kun Wang , Guangquan Zhang

In large-scale, data-driven applications, parameters are often only known approximately due to noise and limited data samples. In this paper, we focus on high-dimensional optimization problems with linear constraints under uncertain…

Optimization and Control · Mathematics 2024-03-01 Naqi Huang , Nestor Parolya , Theresia van Essen

Data drifts pose a critical challenge in the lifecycle of machine learning (ML) models, affecting their performance and reliability. In response to this challenge, we present a microbenchmark study, called D3Bench, which evaluates the…

Databases · Computer Science 2024-05-13 Rieke Müller , Mohamed Abdelaal , Davor Stjelja

Essential tasks in autonomous driving includes environment perception, detection and tracking, path planning and action control. This paper focus on path planning, which is one of the challenging task as it needs to find optimal path in…

Robotics · Computer Science 2024-02-20 Sugirtha T , Pranav S , Nitin Benjamin Dasiah , Sridevi M

Modeling the temporal behavior of data is of primordial importance in many scientific and engineering fields. Baseline methods assume that both the dynamic and observation equations follow linear-Gaussian models. However, there are many…

Machine Learning · Computer Science 2020-11-03 Xavier Alameda-Pineda , Vincent Drouard , Radu Horaud