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Distribution-free prediction sets play a pivotal role in uncertainty quantification for complex statistical models. Their validity hinges on reliable calibration data, which may not be readily available as real-world environments often…

Methodology · Statistics 2024-06-11 Elise Han , Chengpiao Huang , Kaizheng Wang

Time series classification is an important problem in real world. Due to its non-stationary property that the distribution changes over time, it remains challenging to build models for generalization to unseen distributions. In this paper,…

Machine Learning · Computer Science 2023-03-01 Wang Lu , Jindong Wang , Xinwei Sun , Yiqiang Chen , Xing Xie

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

Dealing with distribution shifts is one of the central challenges for modern machine learning. One fundamental situation is the covariate shift, where the input distributions of data change from training to testing stages while the…

Machine Learning · Computer Science 2024-05-28 Yu-Jie Zhang , Zhen-Yu Zhang , Peng Zhao , Masashi Sugiyama

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…

The world is not static: This causes real-world time series to change over time through external, and potentially disruptive, events such as macroeconomic cycles or the COVID-19 pandemic. We present an adaptive sampling strategy that…

Most research designing novel predictive models, or employing existing ones, assumes that training and testing data are independent and identically distributed. In practice, the data encountered at serving time often deviate from the…

Machine Learning · Computer Science 2026-03-30 Hanyu Duan , Yi Yang , Ahmed Abbasi , Kar Yan Tam

Reliable uncertainty estimates are an important tool for helping autonomous agents or human decision makers understand and leverage predictive models. However, existing approaches to estimating uncertainty largely ignore the possibility of…

Machine Learning · Computer Science 2020-05-22 Sangdon Park , Osbert Bastani , James Weimer , Insup Lee

Empirical risk minimization is a standard principle for choosing algorithms in learning theory. In this paper we study the properties of empirical risk minimization for time series. The analysis is carried out in a general framework that…

Machine Learning · Statistics 2021-08-12 Christian Brownlees , Jordi Llorens-Terrazas

The use of machine learning for time series prediction has become increasingly popular across various industries thanks to the availability of time series data and advancements in machine learning algorithms. However, traditional methods…

Machine Learning · Statistics 2023-06-01 Gonçalo Mateus , Cláudia Soares , João Leitão , António Rodrigues

Adaptive time series forecasting is essential for prediction under regime changes. Several classical methods assume linear Gaussian state space model (LGSSM) with variances constant in time. However, there are many real-world processes that…

Machine Learning · Statistics 2024-02-23 Baptiste Abélès , Joseph de Vilmarest , Olivier Wintemberger

Continual learning, focused on sequentially learning multiple tasks, has gained significant attention recently. Despite the tremendous progress made in the past, the theoretical understanding, especially factors contributing to catastrophic…

Machine Learning · Computer Science 2024-05-29 Meng Ding , Kaiyi Ji , Di Wang , Jinhui Xu

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

Distribution shift is a key challenge for predictive models in practice, creating the need to identify potentially harmful shifts in advance of deployment. Existing work typically defines these worst-case shifts as ones that most degrade…

Machine Learning · Computer Science 2024-07-08 Kevin Ren , Yewon Byun , Bryan Wilder

Urban time series data forecasting featuring significant contributions to sustainable development is widely studied as an essential task of the smart city. However, with the dramatic and rapid changes in the world environment, the…

Machine Learning · Computer Science 2023-11-27 Zekun Cai , Renhe Jiang , Xinyu Yang , Zhaonan Wang , Diansheng Guo , Hiroki Kobayashi , Xuan Song , Ryosuke Shibasaki

This paper develops computationally feasible methods for estimating random effects models in the context of regression modelling of multiple independent time series of discrete valued counts in which there is serial dependence. Given…

Methodology · Statistics 2016-06-10 W. T. M. Dunsmuir , C. McKendry , R. T. Dean

Most machine learning models operate under the assumption that the training, testing and deployment data is independent and identically distributed (i.i.d.). This assumption doesn't generally hold true in a natural setting. Usually, the…

Machine Learning · Computer Science 2021-12-14 Kumud Lakara , Akshat Bhandari , Pratinav Seth , Ujjwal Verma

Probabilistic time series forecasting involves estimating the distribution of future based on its history, which is essential for risk management in downstream decision-making. We propose a deep state space model for probabilistic time…

Machine Learning · Computer Science 2021-02-02 Longyuan Li , Junchi Yan , Xiaokang Yang , Yaohui Jin

A key assumption in supervised learning is that training and test data follow the same probability distribution. However, this fundamental assumption is not always satisfied in practice, e.g., due to changing environments, sample selection…

Machine Learning · Computer Science 2021-12-21 Nan Lu , Tianyi Zhang , Tongtong Fang , Takeshi Teshima , Masashi Sugiyama

Imitation learning is a widely used approach for training agents to replicate expert behavior in complex decision-making tasks. However, existing methods often struggle with compounding errors and limited generalization, due to the inherent…

Machine Learning · Computer Science 2025-04-21 Haldun Balim , Yang Hu , Yuyang Zhang , Na Li