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Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

Methodology · Statistics 2013-10-16 David S. Matteson , Nicholas A. James

In the era of big data, analysts usually explore various statistical models or machine learning methods for observed data in order to facilitate scientific discoveries or gain predictive power. Whatever data and fitting procedures are…

Machine Learning · Statistics 2018-10-24 Jie Ding , Vahid Tarokh , Yuhong Yang

We propose a model to characterize how a diffusing population adapts under a time periodic selection, while its environment undergoes shifts and size changes, leading to significant differences with classical results on fixed domains. After…

Analysis of PDEs · Mathematics 2025-06-05 Matthieu Alfaro , Adel Blouza , Nessim Dhaouadi

The proposed method in this paper is designed to address the problem of time series forecasting. Although some exquisitely designed models achieve excellent prediction performances, how to extract more useful information and make accurate…

Artificial Intelligence · Computer Science 2023-02-01 Yuanpeng He

Many decision making systems deployed in the real world are not static - a phenomenon known as model adaptation takes place over time. The need for transparency and interpretability of AI-based decision models is widely accepted and thus…

Machine Learning · Computer Science 2021-04-08 André Artelt , Fabian Hinder , Valerie Vaquet , Robert Feldhans , Barbara Hammer

Time series analysis is used to understand and predict dynamic processes, including evolving demands in business, weather, markets, and biological rhythms. Exponential smoothing is used in all these domains to obtain simple interpretable…

Machine Learning · Statistics 2017-10-02 Avner Abrami , Aleksandr Y. Aravkin , Younghun Kim

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

Time series data can be subject to changes in the underlying process that generates them and, because of these changes, models built on old samples can become obsolete or perform poorly. In this work, we present a way to incorporate…

Machine Learning · Computer Science 2021-08-27 Jesus Antonanzas , Marta Arias , Albert Bifet

Many data-driven decision problems are formulated using a nominal distribution estimated from historical data, while performance is ultimately determined by a deployment distribution that may be shifted, context-dependent, partially…

Machine Learning · Computer Science 2026-04-07 Xiuyuan Cheng , Yunqin Zhu , Yao Xie

Changepoint analysis deals with unsupervised detection and/or estimation of time-points in time-series data, when the distribution generating the data changes. In this article, we consider \emph{offline} changepoint detection in the context…

Computation and Language · Computer Science 2021-12-03 Avinandan Bose , Soumendu Sundar Mukherjee

At present, state-of-the-art forecasting models are short of the ability to capture spatio-temporal dependency and synthesize global information at the stage of learning. To address this issue, in this paper, through the adaptive fuzzified…

Artificial Intelligence · Computer Science 2025-07-29 Lijian Li

In this paper, we propose Test-Time Training, a general approach for improving the performance of predictive models when training and test data come from different distributions. We turn a single unlabeled test sample into a self-supervised…

Machine Learning · Computer Science 2020-07-03 Yu Sun , Xiaolong Wang , Zhuang Liu , John Miller , Alexei A. Efros , Moritz Hardt

We consider the problem of function estimation in the case where the data distribution may shift between training and test time, and additional information about it may be available at test time. This relates to popular scenarios such as…

Machine Learning · Statistics 2013-06-05 Bernhard Schölkopf , Dominik Janzing , Jonas Peters , Kun Zhang

Model averaging is a useful and robust method for dealing with model uncertainty in statistical analysis. Often, it is useful to consider data subset selection at the same time, in which model selection criteria are used to compare models…

Methodology · Statistics 2023-10-26 Ethan T. Neil , Jacob W. Sitison

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

Machine Learning · Statistics 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

We consider the general problem of learning a predictor that satisfies multiple objectives of interest simultaneously, a broad framework that captures a range of specific learning goals including calibration, regret, and multiaccuracy. We…

Machine Learning · Computer Science 2026-02-17 Jivat Neet Kaur , Isaac Gibbs , Michael I. Jordan

We present a general framework for adaptive allocation of viral tests in social contact networks. We pose and solve several complementary problems. First, we consider the design of a social sensing system whose objective is the early…

Social and Information Networks · Computer Science 2020-11-05 Pau Batlle , Joan Bruna , Carlos Fernandez-Granda , Victor M. Preciado

Temporal data distribution shift is prevalent in the financial text. How can a financial sentiment analysis system be trained in a volatile market environment that can accurately infer sentiment and be robust to temporal data distribution…

Computation and Language · Computer Science 2023-10-20 Yue Guo , Chenxi Hu , Yi Yang

Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

Machine Learning · Computer Science 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes. Using homogenization techniques, a reduced stochastic parametrization…

Data Analysis, Statistics and Probability · Physics 2012-04-11 Lewis Mitchell , Georg A. Gottwald