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We show that the sensor self-localization problem can be cast as a static parameter estimation problem for Hidden Markov Models and we implement fully decentralized versions of the Recursive Maximum Likelihood and on-line…

Optimization and Control · Mathematics 2015-06-05 Nikolas Kantas , Sumeetpal S. Singh , Arnaud Doucet

We propose an efficient online approximate Bayesian inference algorithm for estimating the parameters of a nonlinear function from a potentially non-stationary data stream. The method is based on the extended Kalman filter (EKF), but uses a…

Machine Learning · Statistics 2023-06-29 Peter G. Chang , Gerardo Durán-Martín , Alexander Y Shestopaloff , Matt Jones , Kevin Murphy

Inference and simulation in the context of high-dimensional dynamical systems remain computationally challenging problems. Some form of dimensionality reduction is required to make the problem tractable in general. In this paper, we propose…

Machine Learning · Statistics 2024-01-04 Jonathan Schmidt , Philipp Hennig , Jörg Nick , Filip Tronarp

This paper presents a novel Wasserstein distributionally robust control and state estimation algorithm for partially observable linear stochastic systems, where the probability distributions of disturbances and measurement noises are…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

While stochastic variational inference is relatively well known for scaling inference in Bayesian probabilistic models, related methods also offer ways to circumnavigate the approximation of analytically intractable expectations. The key…

Machine Learning · Statistics 2015-09-08 David A. Knowles

Ensemble transform Kalman filtering (ETKF) data assimilation is often used to combine available observations with numerical simulations to obtain statistically accurate and reliable state representations in dynamical systems. However, it is…

Numerical Analysis · Mathematics 2024-03-07 Tongtong Li , Anne Gelb , Yoonsang Lee

In coverage control problems that involve time-varying density functions, the coverage control law depends on spatial integrals of the time evolution of the density function. The latter is often neglected, replaced with an upper bound or…

Systems and Control · Electrical Eng. & Systems 2025-07-28 Behzad Zamani , James Kennedy , Airlie Chapman , Peter Dower , Chris Manzie , Simon Crase

Direct quantile regression involves estimating a given quantile of a response variable as a function of input variables. We present a new framework for direct quantile regression where a Gaussian process model is learned, minimising the…

Methodology · Statistics 2012-07-03 Alexis Boukouvalas , Remi Barillec , Dan Cornford

Synchrophasor data provide unprecedented opportunities for inferring power system dynamics, such as estimating voltage angles, frequencies, and accelerations along with power injection at all buses. Aligned to this goal, this work puts…

Systems and Control · Electrical Eng. & Systems 2022-01-14 Mana Jalali , Vassilis Kekatos , Siddharth Bhela , Hao Zhu , Virgilio Centeno

In this dissertation, we investigate the issue of robust localization in swarms of heterogeneous mobile agents with multiple and time-varying sensing modalities. Our focus is the development of filter-based and decoupled estimators under…

Robotics · Computer Science 2024-08-23 Roland Jung

This paper presents the first discrete-time distributed algorithm to track the tightest ellipsoids that outer approximates the global dynamic intersection of ellipsoids. Given an undirected network, we consider a setup where each node…

Optimization and Control · Mathematics 2025-02-13 Eduardo Sebastián , Rodrigo Aldana-López , Rosario Aragüés , Eduardo Montijano , Carlos Sagüés

Bayesian filtering is a general framework for recursively estimating the state of a dynamical system. Classical solutions such that Kalman filter and Particle filter are introduced in this report. Gaussian processes have been introduced as…

Information Theory · Computer Science 2010-11-04 Mr. Chong Han , Dr. Ido Nevat , Dr. Gareth Peters , Prof. Jinhong Yuan

We use statistical learning methods to construct an adaptive state estimator for nonlinear stochastic systems. Optimal state estimation, in the form of a Kalman filter, requires knowledge of the system's process and measurement uncertainty.…

Machine Learning · Statistics 2014-11-05 Michael Busch , Jeff Moehlis

Multi-agent mapping is a fundamentally important capability for autonomous robot task coordination and execution in complex environments. While successful algorithms have been proposed for mapping using individual platforms, cooperative…

Robotics · Computer Science 2021-10-14 James Di , Ehsan Zobeidi , Alec Koppel , Nikolay Atanasov

We devise a distributed asynchronous stochastic epsilon-gradient-based algorithm to enable a network of computing and communicating nodes to solve a constrained discrete-time time-varying stochastic convex optimization problem. Each node…

Optimization and Control · Mathematics 2014-10-02 Andrea Simonetto , Leon Kester , Geert Leus

Human visual attention is a complex phenomenon that has been studied for decades. Within it, the particular problem of scanpath prediction poses a challenge, particularly due to the inter- and intra-observer variability, among other…

Computer Vision and Pattern Recognition · Computer Science 2022-04-21 Daniel Martin , Diego Gutierrez , Belen Masia

The extended Kalman filter is perhaps the most standard tool to estimate in real time the state of a dynamical system from noisy measurements of some function of the system, with extensive practical applications (such as position tracking…

Optimization and Control · Mathematics 2019-01-04 Yann Ollivier

State estimation in stochastic dynamical systems with noisy measurements is a challenge. While the Kalman filter is optimal for linear systems with independent Gaussian white noise, real-world conditions often deviate from these…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Hassan Mortada , Cyril Falcon , Yanis Kahil , Mathéo Clavaud , Jean-Philippe Michel

In this work, we propose a method to learn multivariate probability distributions using sample path data from stochastic differential equations. Specifically, we consider temporally evolving probability distributions (e.g., those produced…

Machine Learning · Statistics 2022-05-05 Yubin Lu , Romit Maulik , Ting Gao , Felix Dietrich , Ioannis G. Kevrekidis , Jinqiao Duan

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

Optimization and Control · Mathematics 2020-02-03 Sophie M. Fosson
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