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This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Samuel G. Gessow , Brett T. Lopez

We consider the problem of uncertainty quantification for prediction in a time series: if we use past data to forecast the next time point, can we provide valid prediction intervals around our forecasts? To avoid placing distributional…

Machine Learning · Statistics 2026-01-13 Rina Foygel Barber , Ashwin Pananjady

Temporal set prediction involves forecasting the elements that will appear in the next set, given a sequence of prior sets, each containing a variable number of elements. Existing methods often rely on intricate architectures with…

Machine Learning · Computer Science 2025-04-25 Ashish Ranjan , Ayush Agarwal , Shalin Barot , Sushant Kumar

Time series anomaly detection is widely used in IoT and cyber-physical systems, yet its evaluation remains challenging due to diverse application objectives and heterogeneous metric assumptions. This study introduces a problem-oriented…

Artificial Intelligence · Computer Science 2026-05-15 Kaixiang Yang , Jiarong Liu , Yupeng Song , Shuanghua Yang , Yujue Zhou

In sequential change detection, existing performance measures differ significantly in the way they treat the time of change. By modeling this quantity as a random time, we introduce a general framework capable of capturing and better…

Statistics Theory · Mathematics 2008-12-18 George V. Moustakides

Animals exploit time to survive in the world. Temporal information is required for higher-level cognitive abilities such as planning, decision making, communication, and effective cooperation. Since time is an inseparable part of cognition,…

Artificial Intelligence · Computer Science 2020-12-29 Hamit Basgol , Inci Ayhan , Emre Ugur

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

We introduce four new real-world distribution shift datasets consisting of changes in image style, image blurriness, geographic location, camera operation, and more. With our new datasets, we take stock of previously proposed methods for…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Dan Hendrycks , Steven Basart , Norman Mu , Saurav Kadavath , Frank Wang , Evan Dorundo , Rahul Desai , Tyler Zhu , Samyak Parajuli , Mike Guo , Dawn Song , Jacob Steinhardt , Justin Gilmer

We discuss recently developed methods that quantify the stability and generalizability of statistical findings under distributional changes. In many practical problems, the data is not drawn i.i.d. from the target population. For example,…

Methodology · Statistics 2023-10-05 Dominik Rothenhäusler , Peter Bühlmann

The notion of concept drift refers to the phenomenon that the distribution, which is underlying the observed data, changes over time; as a consequence machine learning models may become inaccurate and need adjustment. Many unsupervised…

Machine Learning · Computer Science 2022-02-22 Fabian Hinder , Valerie Vaquet , Barbara Hammer

Although machine learning models typically experience a drop in performance on out-of-distribution data, accuracies on in- versus out-of-distribution data are widely observed to follow a single linear trend when evaluated across a testbed…

Machine Learning · Computer Science 2021-07-01 Anders Andreassen , Yasaman Bahri , Behnam Neyshabur , Rebecca Roelofs

Dimensionality reduction methods are an essential tool for multidimensional data analysis, and many interesting processes can be studied as time-dependent multivariate datasets. There are, however, few studies and proposals that leverage on…

Graphics · Computer Science 2020-02-19 E. F. Vernier , R. Garcia , I. P. da Silva , J. L. D. Comba , A. C. Telea

In this paper, we study the problem of estimation and learning under temporal distribution shift. Consider an observation sequence of length $n$, which is a noisy realization of a time-varying groundtruth sequence. Our focus is to develop…

Machine Learning · Computer Science 2025-05-22 Dheeraj Baby , Yifei Tang , Hieu Duy Nguyen , Yu-Xiang Wang , Rohit Pyati

Data samples generated by several real world processes are dynamic in nature \textit{i.e.}, their characteristics vary with time. Thus it is not possible to train and tackle all possible distributional shifts between training and inference,…

Machine Learning · Computer Science 2021-10-22 Prabhu Teja Sivaprasad , François Fleuret

There is a lack of quantitative measures to evaluate the progression of topics through time in dynamic topic models (DTMs). Filling this gap, we propose a novel evaluation measure for DTMs that analyzes the changes in the quality of each…

Computation and Language · Computer Science 2023-09-19 Charu James , Mayank Nagda , Nooshin Haji Ghassemi , Marius Kloft , Sophie Fellenz

Adapting to dynamic data distributions is a practical yet challenging task. One effective strategy is to use a model ensemble, which leverages the diverse expertise of different models to transfer knowledge to evolving data distributions.…

Data in the real world often has an evolving distribution. Thus, machine learning models trained on such data get outdated over time. This phenomenon is called model drift. Knowledge of this drift serves two purposes: (i) Retain an accurate…

Machine Learning · Computer Science 2025-03-11 Pranoy Panda , Kancheti Sai Srinivas , Vineeth N Balasubramanian , Gaurav Sinha

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

Methodology · Statistics 2022-11-07 Euan T. McGonigle , Haeran Cho

Quantifying robustness in a single measure for the purposes of model selection, development of adversarial training methods, and anticipating trends has so far been elusive. The simplest metric to consider is the number of trainable…

Machine Learning · Computer Science 2024-10-25 David Khachaturov , Robert Mullins

Time series foundation models excel at diverse time series forecasting tasks, but their capacity for continuous improvement through incremental learning remains unexplored. We present the first comprehensive study investigating these…

Machine Learning · Computer Science 2025-04-22 Jia Liu , Cheng Jinguo , Xia Fang , Zhenyuan Ma , Yuankai Wu
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