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As a powerful Bayesian non-parameterized algorithm, the Gaussian process (GP) has performed a significant role in Bayesian optimization and signal processing. GPs have also advanced online decision-making systems because their posterior…

Machine Learning · Computer Science 2022-10-27 Tianyu Liu , Jie Lu , Zheng Yan , Guangquan Zhang

This manuscript presents an advanced framework for Bayesian learning by incorporating action and state-dependent signal variances into decision-making models. This framework is pivotal in understanding complex data-feedback loops and…

Methodology · Statistics 2023-11-29 Kaiwen Hou

Deep neural networks for classification are vulnerable to adversarial attacks, where small perturbations to input samples lead to incorrect predictions. This susceptibility, combined with the black-box nature of such networks, limits their…

Cryptography and Security · Computer Science 2024-08-28 Dipkamal Bhusal , Md Tanvirul Alam , Monish K. Veerabhadran , Michael Clifford , Sara Rampazzi , Nidhi Rastogi

Safety-critical technical systems operating in unknown environments require the ability to quickly adapt their behavior, which can be achieved in control by inferring a model online from the data stream generated during operation. Gaussian…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Armin Lederer , Mingmin Zhang , Samuel Tesfazgi , Sandra Hirche

We propose the Bayesian adaptive Lasso (BaLasso) for variable selection and coefficient estimation in linear regression. The BaLasso is adaptive to the signal level by adopting different shrinkage for different coefficients. Furthermore, we…

Methodology · Statistics 2010-09-14 Chenlei Leng , Minh Ngoc Tran , David Nott

Learning-based behavior prediction methods are increasingly being deployed in real-world autonomous systems, e.g., in fleets of self-driving vehicles, which are beginning to commercially operate in major cities across the world. Despite…

Machine Learning · Computer Science 2023-05-24 Boris Ivanovic , James Harrison , Marco Pavone

Bayesian On-line Changepoint Detection is extended to on-line model selection and non-stationary spatio-temporal processes. We propose spatially structured Vector Autoregressions (VARs) for modelling the process between changepoints (CPs)…

Machine Learning · Statistics 2018-06-07 Jeremias Knoblauch , Theodoros Damoulas

The robustness of algorithms against covariate shifts is a fundamental problem with critical implications for the deployment of machine learning algorithms in the real world. Current evaluation methods predominantly measure robustness…

Learning to infer Bayesian posterior from a few-shot dataset is an important step towards robust meta-learning due to the model uncertainty inherent in the problem. In this paper, we propose a novel Bayesian model-agnostic meta-learning…

Machine Learning · Computer Science 2018-11-20 Taesup Kim , Jaesik Yoon , Ousmane Dia , Sungwoong Kim , Yoshua Bengio , Sungjin Ahn

Offline reinforcement learning (RL) is crucial for real-world applications where exploration can be costly or unsafe. However, offline learned policies are often suboptimal, and further online fine-tuning is required. In this paper, we…

Machine Learning · Computer Science 2024-06-03 Hao Hu , Yiqin Yang , Jianing Ye , Chengjie Wu , Ziqing Mai , Yujing Hu , Tangjie Lv , Changjie Fan , Qianchuan Zhao , Chongjie Zhang

Most PAC-Bayesian bounds hold in the batch learning setting where data is collected at once, prior to inference or prediction. This somewhat departs from many contemporary learning problems where data streams are collected and the…

Machine Learning · Computer Science 2023-01-25 Maxime Haddouche , Benjamin Guedj

Sparse additive models have attracted much attention in high-dimensional data analysis due to their flexible representation and strong interpretability. However, most existing models are limited to single-level learning under the…

Machine Learning · Computer Science 2026-04-23 Xuelin Zhang , Xinyue Liu , Lingjuan Wu , Hong Chen

An inference method for Gaussian process augmented state-space models are presented. This class of grey-box models enables domain knowledge to be incorporated in the inference process to guarantee a minimum of performance, still they are…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Anton Kullberg , Isaac Skog , Gustaf Hendeby

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

In this paper we extend the work of Smith and Papamichail (1999) and present fast approximate Bayesian algorithms for learning in complex scenarios where at any time frame, the relationships between explanatory state space variables can be…

Machine Learning · Computer Science 2013-01-30 Raffaella Settimi , Jim Q. Smith , A. S. Gargoum

An incremental/online state dynamic learning method is proposed for identification of the nonlinear Gaussian state space models. The method embeds the stochastic variational sparse Gaussian process as the probabilistic state dynamic model…

Machine Learning · Statistics 2016-08-31 Vahid Bastani , Lucio Marcenaro , Carlo Regazzoni

The ubiquity of multiscale interactions in complex systems is well-recognized, with development and heredity serving as a prime example of how processes at different temporal scales influence one another. This work introduces a novel…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Nayely Vélez-Cruz , Manfred D. Laubichler

Bayesian learning is built on an assumption that the model space contains a true reflection of the data generating mechanism. This assumption is problematic, particularly in complex data environments. Here we present a Bayesian…

Machine Learning · Statistics 2018-11-05 S. P. Lyddon , S. G. Walker , C. C. Holmes

Change points in real-world systems mark significant regime shifts in system dynamics, possibly triggered by exogenous or endogenous factors. These points define regimes for the time evolution of the system and are crucial for understanding…

Machine Learning · Statistics 2025-09-30 Ioanna-Yvonni Tsaknaki , Fabrizio Lillo , Piero Mazzarisi

Constructing and maintaining a consistent scene model on-the-fly is the core task for online spatial perception, interpretation, and action. In this paper, we represent the scene with a Bayesian nonparametric mixture model, seamlessly…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Zike Yan , Xin Wang , Hongbin Zha