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A fundamental issue for statistical classification models in a streaming environment is that the joint distribution between predictor and response variables changes over time (a phenomenon also known as concept drifts), such that their…

Machine Learning · Statistics 2019-02-11 Shujian Yu , Zubin Abraham , Heng Wang , Mohak Shah , Yantao Wei , José C. Príncipe

This work investigates the inverse drift problem in the one-dimensional parabolic equation with the final time data. The authors construct an operator first, whose fixed points are the unknown drift, and then apply it to prove the…

Numerical Analysis · Mathematics 2025-10-14 Dakang Cen , Wenlong Zhang , Zhidong Zhang

Social contagion has been studied in various contexts. Many instances of social contagion can be modeled as an infection process where a specific state (adoption of product, fad, knowledge, behavior, etc.) spreads from individual to…

Social and Information Networks · Computer Science 2014-07-01 Hiroki Sayama

The drift burst hypothesis postulates the existence of short-lived locally explosive trends in the price paths of financial assets. The recent U.S. equity and treasury flash crashes can be viewed as two high-profile manifestations of such…

Econometrics · Economics 2026-01-16 Kim Christensen , Roel C. A. Oomen , Roberto Renò

In this paper we consider a stochastic process that may experience random reset events which bring suddenly the system to the starting value and analyze the relevant statistical magnitudes. We focus our attention on monotonous…

Mathematical Physics · Physics 2013-01-21 Miquel Montero , Javier Villarroel

Practical applications of artificial intelligence increasingly often have to deal with the streaming properties of real data, which, considering the time factor, are subject to phenomena such as periodicity and more or less chaotic…

Machine Learning · Computer Science 2025-03-05 Joanna Komorniczak , Paweł Ksieniewicz

This research proposes a novel drift detection methodology for machine learning (ML) models based on the concept of ''deformation'' in the vector space representation of data. Recognizing that new data can act as forces stretching,…

Machine Learning · Computer Science 2024-11-06 Giancarlo Cobino , Simone Farci

We introduce a representation learning framework for spatial trajectories. We represent partial observations of trajectories as probability distributions in a learned latent space, which characterize the uncertainty about unobserved parts…

Machine Learning · Computer Science 2022-10-05 Dídac Surís , Carl Vondrick

The presence of concept drift poses challenges for anomaly detection in time series. While anomalies are caused by undesirable changes in the data, differentiating abnormal changes from varying normal behaviours is difficult due to…

Databases · Computer Science 2025-07-01 Jongjun Park , Fei Chiang , Mostafa Milani

In this paper, we introduce the concept of random time changes in dynamical systems. The sub- ordination principle may be applied to study the long time behavior of the random time systems. We show, under certain assumptions on the class of…

Dynamical Systems · Mathematics 2021-08-21 R. Capuani , L. Di Persio , Y. Kondratiev , M. Ricciardi , J. L. da Silva

We introduce an adaptive method with formal quality guarantees for weak supervision in a non-stationary setting. Our goal is to infer the unknown labels of a sequence of data by using weak supervision sources that provide independent noisy…

Machine Learning · Computer Science 2025-05-05 Alessio Mazzetto , Reza Esfandiarpoor , Akash Singirikonda , Eli Upfal , Stephen H. Bach

We study evolution equations of drift-diffusion type when various parameters are random. Motivated by applications in pedestrian dynamics, we focus on the case when the total mass is, due to boundary or reaction terms, not conserved. After…

Probability · Mathematics 2021-07-28 Greta Marino , Jan-Frederik Pietschmann , Alois Pichler

Systems and individuals produce data continuously. On the Internet, people share their knowledge, sentiments, and opinions, provide reviews about services and products, and so on. Automatically learning from these textual data can provide…

Usually gradual and continuous changes in entities will lead to appear events. But usually it is supposed that an event is occurred at once. In this research an integrated framework called continuous occurrence theory (COT) is presented to…

Artificial Intelligence · Computer Science 2016-11-14 Abdorrahman Haeri

Machine learning on data streams is increasingly more present in multiple domains. However, there is often data distribution shift that can lead machine learning models to make incorrect decisions. While there are automatic methods to…

Machine Learning · Computer Science 2022-05-02 João Palmeiro , Beatriz Malveiro , Rita Costa , David Polido , Ricardo Moreira , Pedro Bizarro

Observations on the past provide some hints about what will happen in the future, and this can be quantified using information theory. The ``predictive information'' defined in this way has connections to measures of complexity that have…

Statistical Mechanics · Physics 2007-05-23 William Bialek , Naftali Tishby

The theory revision problem is the problem of how best to go about revising a deficient domain theory using information contained in examples that expose inaccuracies. In this paper we present our approach to the theory revision problem for…

Artificial Intelligence · Computer Science 2014-11-17 M. Koppel , R. Feldman , A. M. Segre

In reliable decision-making systems based on machine learning, models have to be robust to distributional shifts or provide the uncertainty of their predictions. In node-level problems of graph learning, distributional shifts can be…

Machine Learning · Computer Science 2023-11-02 Gleb Bazhenov , Denis Kuznedelev , Andrey Malinin , Artem Babenko , Liudmila Prokhorenkova

As machine learning models increasingly replace traditional business logic in the production system, their lifecycle management is becoming a significant concern. Once deployed into production, the machine learning models are constantly…

Machine Learning · Computer Science 2022-11-24 Lorena Poenaru-Olaru , Luis Cruz , Arie van Deursen , Jan S. Rellermeyer

This article studies how to detect and explain concept drift. Human activity recognition is used as a case study together with a online batch learning situation where the quality of the labels used in the model updating process starts to…

Machine Learning · Computer Science 2023-01-23 Pekka Siirtola , Juha Röning