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While anomaly detection in static networks has been extensively studied, only recently, researchers have focused on dynamic networks. This trend is mainly due to the capacity of dynamic networks in representing complex physical, biological,…

Methodology · Statistics 2017-11-15 Mostafa Reisi Gahrooei , Kamran Paynabar

Offline reinforcement learning (RL) can fit strong value functions from fixed datasets, yet reliable deployment still hinges on the action selection interface used to query them. When the dataset induces a branched or multimodal action…

Machine Learning · Computer Science 2026-03-25 Haoyu Wang , Jingcheng Wang , Shunyu Wu , Xinwei Xiao

Joint clustering and feature learning methods have shown remarkable performance in unsupervised representation learning. However, the training schedule alternating between feature clustering and network parameters update leads to unstable…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Xiaohang Zhan , Jiahao Xie , Ziwei Liu , Yew Soon Ong , Chen Change Loy

Online (also called "recursive" or "adaptive") estimation of fixed model parameters in hidden Markov models is a topic of much interest in times series modelling. In this work, we propose an online parameter estimation algorithm that…

Computation · Statistics 2011-02-16 Olivier Cappé

This survey paper is written with the intention of giving a mathematical introduction to filtering techniques for intermittent data assimilation, and to survey some recent advances in the field. The paper is divided into three parts. The…

Numerical Analysis · Mathematics 2012-09-03 Colin J. Cotter , Sebastian Reich

We present statistical methods for big data arising from online analytical processing, where large amounts of data arrive in streams and require fast analysis without storage/access to the historical data. In particular, we develop…

Computation · Statistics 2018-06-13 Elizabeth D. Schifano , Jing Wu , Chun Wang , Jun Yan , Ming-Hui Chen

Data within a specific context gains deeper significance beyond its isolated interpretation. In distributed systems, interdependent data sources reveal hidden relationships and latent structures, representing valuable information for many…

Machine Learning · Computer Science 2025-12-30 Mario Colosi , Reza Farahani , Maria Fazio , Radu Prodan , Massimo Villari

In conventional ODE modelling coefficients of an equation driving the system state forward in time are estimated. However, for many complex systems it is practically impossible to determine the equations or interactions governing the…

Machine Learning · Statistics 2018-03-13 Markus Heinonen , Cagatay Yildiz , Henrik Mannerström , Jukka Intosalmi , Harri Lähdesmäki

Deep neural networks suffer from significant performance deterioration when there exists distribution shift between deployment and training. Domain Generalization (DG) aims to safely transfer a model to unseen target domains by only relying…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Xin Zhang , Ying-Cong Chen

Online Continual Learning (OCL) involves sequentially arriving data and is particularly challenged by catastrophic forgetting, which significantly impairs model performance. To address this issue, we introduce a novel framework, Online…

Machine Learning · Computer Science 2025-12-16 Congren Dai , Huichi Zhou , Jiahao Huang , Zhenxuan Zhang , Fanwen Wang , Yijian Gao , Guang Yang , Fei Ye

Data assimilation (DA) integrates observations with a dynamical model to estimate states of PDE-governed systems. Model-driven methods (e.g., Kalman, particle) presuppose full knowledge of the true dynamics, which is not always satisfied in…

Signal Processing · Electrical Eng. & Systems 2025-06-06 Siyi Chen , Yixuan Jia , Qing Qu , He Sun , Jeffrey A Fessler

Practical Bayesian learning often requires (1) online inference, (2) dynamic models, and (3) ensembling over multiple different models. Recent advances have shown how to use random feature approximations to achieve scalable, online…

Machine Learning · Computer Science 2024-05-03 Daniel Waxman , Petar M. Djurić

Complex systems are often described with competing models. Such divergence of interpretation on the system may stem from model fidelity, mathematical simplicity, and more generally, our limited knowledge of the underlying processes.…

Numerical Analysis · Mathematics 2017-07-21 Lun Yang , Akil Narayan , Peng Wang

Although recent advances in machine learning have shown its success to learn from independent and identically distributed (IID) data, it is vulnerable to out-of-distribution (OOD) data in an open world. Domain generalization (DG) deals with…

Machine Learning · Computer Science 2024-05-14 Thai-Hoang Pham , Xueru Zhang , Ping Zhang

Online learning algorithms are fast, memory-efficient, easy to implement, and applicable to many prediction problems, including classification, regression, and ranking. Several online algorithms were proposed in the past few decades, some…

Machine Learning · Computer Science 2015-07-03 Francesco Orabona , Koby Crammer , Nicolò Cesa-Bianchi

Data assimilation (DA) estimates the state of an evolving dynamical system from noisy, partial observations, and is widely used in scientific simulation as well as weather and climate science. In practice, filtering methods rely on…

Image and Video Processing · Electrical Eng. & Systems 2026-05-15 Yixuan Jia , Siyi Chen , Yida Pan , Xiao Li , Lianghe Shi , Chanyong Jung , Haijie Yuan , Ismail Alkhouri , Yue Cynthia Wu , Saiprasad Ravishankar , Jeffrey A Fessler , Qing Qu

We present a framework that leverages the Discrete Empirical Interpolation Method (DEIM) for interpretable deep learning and dynamical system analysis. Although DEIM efficiently approximates nonlinear terms in projection-based reduced-order…

Machine Learning · Computer Science 2026-04-03 Hojin Kim , Romit Maulik

Differentiable particle filters are an emerging class of sequential Bayesian inference techniques that use neural networks to construct components in state space models. Existing approaches are mostly based on offline supervised training…

Machine Learning · Computer Science 2023-12-19 Jiaxi Li , Xiongjie Chen , Yunpeng Li

Data Assimilation is the process in which we improve the representation of the state of a physical system by combining information coming from a numerical model, real-world observations, and some prior modelling. It is widely used to model…

Optimization and Control · Mathematics 2025-01-09 Victor Trappler , Arthur Vidard

The understanding and modeling of complex physical phenomena through dynamical systems has historically driven scientific progress, as it provides the tools for predicting the behavior of different systems under diverse conditions through…

Machine Learning · Computer Science 2025-10-03 Karin L. Yu , Eleni Chatzi , Georgios Kissas