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The utilization of online stochastic algorithms is popular in large-scale learning settings due to their ability to compute updates on the fly, without the need to store and process data in large batches. When a constant step-size is used,…

Optimization and Control · Mathematics 2023-07-19 Stefan Vlaski , Elsa Rizk , Ali H. Sayed

Online-learning literature has focused on designing algorithms that ensure sub-linear growth of the cumulative long-term constraint violations. The drawback of this guarantee is that strictly feasible actions may cancel out constraint…

Optimization and Control · Mathematics 2019-10-22 Ezra Tampubolon , Holger Boche

This article proposes an online bootstrap scheme for nonparametric level estimation in nonstationary time series. Our approach applies to a broad class of level estimators expressible as weighted sample averages over time windows, including…

Methodology · Statistics 2026-03-02 Thomas Nagler , Tobias Brock , Nicolai Palm

An enormous and ever-growing volume of data is nowadays becoming available in a sequential fashion in various real-world applications. Learning in nonstationary environments constitutes a major challenge, and this problem becomes orders of…

Machine Learning · Computer Science 2020-09-28 Kleanthis Malialis , Christos G. Panayiotou , Marios M. Polycarpou

Cyber-physical systems often consist of entities that interact with each other over time. Meanwhile, as part of the continued digitization of industrial processes, various sensor technologies are deployed that enable us to record…

Machine Learning · Computer Science 2018-09-03 Razvan-Gabriel Cirstea , Darius-Valer Micu , Gabriel-Marcel Muresan , Chenjuan Guo , Bin Yang

Bases have become an integral part of modern deep learning-based models for time series forecasting due to their ability to act as feature extractors or future references. To be effective, a basis must be tailored to the specific set of…

Machine Learning · Computer Science 2024-01-19 Zelin Ni , Hang Yu , Shizhan Liu , Jianguo Li , Weiyao Lin

Prior work has established Test-Time Training (TTT) as a general framework to further improve a trained model at test time. Before making a prediction on each test instance, the model is first trained on the same instance using a…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Renhao Wang , Yu Sun , Arnuv Tandon , Yossi Gandelsman , Xinlei Chen , Alexei A. Efros , Xiaolong Wang

Time series forecasting lies at the core of important real-world applications in many fields of science and engineering. The abundance of large time series datasets that consist of complex patterns and long-term dependencies has led to the…

Machine Learning · Computer Science 2023-12-01 Nancy Xu , Chrysoula Kosma , Michalis Vazirgiannis

Literature highlighted that financial time series data pose significant challenges for accurate stock price prediction, because these data are characterized by noise and susceptibility to news; traditional statistical methodologies made…

Trading and Market Microstructure · Quantitative Finance 2024-09-27 V. Lanzetta

Despite the recent popularity of deep generative state space models, few comparisons have been made between network architectures and the inference steps of the Bayesian filtering framework -- with most models simultaneously approximating…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Stefan Zohren , Stephen Roberts

We consider federated learning of linearly-parameterized nonlinear systems. We establish theoretical guarantees on the effectiveness of federated nonlinear system identification compared to centralized approaches, demonstrating that the…

Machine Learning · Computer Science 2026-04-27 Omkar Tupe , Max Hartman , Lav R. Varshney , Saurav Prakash

Addressing the challenges of irregularity and concept drift in streaming time series is crucial for real-world predictive modelling. Previous studies in time series continual learning often propose models that require buffering long…

Machine Learning · Computer Science 2025-04-10 Futoon M. Abushaqra , Hao Xue , Yongli Ren , Flora D. Salim

A Relational Dependency Network (RDN) is a directed graphical model widely used for multi-relational data. These networks allow cyclic dependencies, necessary to represent relational autocorrelations. We describe an approach for learning…

Machine Learning · Computer Science 2014-12-10 Oliver Schulte , Zhensong Qian , Arthur E. Kirkpatrick , Xiaoqian Yin , Yan Sun

There are time series that are amenable to recurrent neural network (RNN) solutions when treated as sequences, but some series, e.g. asynchronous time series, provide a richer variation of feature types than current RNN cells take into…

Machine Learning · Statistics 2018-09-25 Alexander Stec , Diego Klabjan , Jean Utke

Time series foundation models (FMs) have emerged as a popular paradigm for zero-shot multi-domain forecasting. These models are trained on numerous diverse datasets and claim to be effective forecasters across multiple different time series…

Risk Management · Quantitative Finance 2025-05-19 Anubha Goel , Puneet Pasricha , Martin Magris , Juho Kanniainen

This paper proposes a framework for multi-robot systems to perform simultaneous learning and coverage of a domain of interest characterized by an unknown and potentially time-varying density function. To overcome the limitations of Gaussian…

Robotics · Computer Science 2025-11-11 Ruijie Du , Ruoyu Lin , Yanning Shen , Magnus Egerstedt

We review the application of Statistical Mechanics methods to the study of online learning of a drifting concept in the limit of large systems. The model where a feed-forward network learns from examples generated by a time dependent…

Disordered Systems and Neural Networks · Physics 2007-05-23 Renato Vicente , Osame Kinouchi , Nestor Caticha

Online continual learning aims to get closer to a live learning experience by learning directly on a stream of data with temporally shifting distribution and by storing a minimum amount of data from that stream. In this empirical…

We observe that the standard log likelihood training objective for a Recurrent Neural Network (RNN) model of time series data is equivalent to a variational Bayesian training objective, given the proper choice of generative and inference…

Machine Learning · Computer Science 2016-06-21 Jascha Sohl-Dickstein , Diederik P. Kingma

In many domains, including healthcare, biology, and climate science, time series are irregularly sampled with varying time intervals between successive readouts and different subsets of variables (sensors) observed at different time points.…

Machine Learning · Computer Science 2022-03-17 Xiang Zhang , Marko Zeman , Theodoros Tsiligkaridis , Marinka Zitnik
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