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Gaussian process regression is a machine learning approach which has been shown its power for estimation of unknown functions. However, Gaussian processes suffer from high computational complexity, as in a basic form they scale cubically…

机器学习 · 统计学 2018-09-10 Danil Kuzin , Le Yang , Olga Isupova , Lyudmila Mihaylova

The reliability and precision of dynamic database are vital for the optimal operating and global control of integrated energy systems. One of the effective ways to obtain the accurate states is state estimations. A novel robust dynamic…

系统与控制 · 电气工程与系统科学 2022-05-24 Liang Chen , Yang Li , Manyun Huang , Xinxin Hui , Songlin Gu

Low-rank matrix estimation under heavy-tailed noise is challenging, both computationally and statistically. Convex approaches have been proven statistically optimal but suffer from high computational costs, especially since robust loss…

统计理论 · 数学 2023-05-12 Yinan Shen , Jingyang Li , Jian-Feng Cai , Dong Xia

High-dimensional linear regression under heavy-tailed noise or outlier corruption is challenging, both computationally and statistically. Convex approaches have been proven statistically optimal but suffer from high computational costs,…

统计理论 · 数学 2023-05-11 Yinan Shen , Jingyang Li , Jian-Feng Cai , Dong Xia

Conventional Bayesian estimation requires an accurate stochastic model of a system. However, this requirement is not always met in many practical cases where the system is not completely known or may differ from the assumed model. For such…

信号处理 · 电气工程与系统科学 2023-04-05 Ranjeet Kumar Tiwari , Shovan Bhaumik

Given a linear dynamical system, we consider the problem of selecting (at design-time) an optimal set of sensors (subject to certain budget constraints) to minimize the trace of the steady state error covariance matrix of the Kalman filter.…

最优化与控制 · 数学 2018-03-29 Lintao Ye , Sandip Roy , Shreyas Sundaram

In this paper the focus is on subsampling as well as reconstructing the second-order statistics of signals residing on nodes of arbitrary undirected graphs. Second-order stationary graph signals may be obtained by graph filtering zero-mean…

信息论 · 计算机科学 2018-05-08 Sundeep Prabhakar Chepuri , Geert Leus

Standard maximum likelihood or Bayesian approaches to parameter estimation for stochastic differential equations are not robust to perturbations in the continuous-in-time data. In this paper, we give a rather elementary explanation of this…

数值分析 · 数学 2023-12-20 Sebastian Reich

Fluid pressure and fluid velocity carry important information for cancer diagnosis, prognosis and treatment. Recent work has demonstrated that estimation of these parameters is theoretically possible using ultrasound poroelastography.…

图像与视频处理 · 电气工程与系统科学 2018-07-23 Md Tauhidul Islam , Raffaella Righetti

This paper proposes a robust adaptive algorithm for smooth graph signal recovery which is based on generalized correntropy. A proper cost function is defined for this purpose. The proposed algorithm is derived and a kernel width…

信号处理 · 电气工程与系统科学 2022-09-20 Razieh Torkamani , Hadi Zayyani , Farokh Marvasti

The concerns to autonomous vehicles have been becoming more intriguing in coping with the more environmentally dynamics non-linear systems under some constraints and disturbances. These vehicles connect not only to the self-instruments yet…

系统与控制 · 电气工程与系统科学 2023-04-12 Bambang L. Widjiantoro , Moh Kamalul Wafi , Katherin Indriawati

This paper is concerned with the linear/nonlinear Kalman-like filtering problem under binary sensors. Since innovation represents new information in the sensor measurement and serves to correct the prediction for the Kalman-like filter…

系统与控制 · 电气工程与系统科学 2021-10-28 Zhongyao Hu , Bo Chen , Yuchen Zhang , Li Yu

We consider the problem of estimating the state of a noisy linear dynamical system when an unknown subset of sensors is arbitrarily corrupted by an adversary. We propose a secure state estimation algorithm, and derive (optimal) bounds on…

最优化与控制 · 数学 2016-11-17 Shaunak Mishra , Yasser Shoukry , Nikhil Karamchandani , Suhas Diggavi , Paulo Tabuada

We consider the problem of recovering random graph signals from nonlinear measurements. For this case, closed-form Bayesian estimators are usually intractable and even numerical evaluation of these estimators may be hard to compute for…

信号处理 · 电气工程与系统科学 2022-06-23 Ariel Kroizer , Tirza Routtenberg , Yonina C. Eldar

This paper is considered with joint estimation of state and time-varying noise covariance matrices in non-linear stochastic state space models. We present a variational Bayes and Gaussian filtering based algorithm for efficient computation…

统计方法学 · 统计学 2013-02-05 Simo Särkkä Jouni Hartikainen

Graph signal processing analyzes signals supported on the nodes of a graph by defining the shift operator in terms of a matrix, such as the graph adjacency matrix or Laplacian matrix, related to the structure of the graph. With respect to…

信号处理 · 电气工程与系统科学 2018-03-01 Stephen Kruzick , José M. F. Moura

This paper introduces a novel proprioceptive state estimator for legged robots that combines model-based filters and deep neural networks. Recent studies have shown that neural networks such as multi-layer perceptron or recurrent neural…

机器人学 · 计算机科学 2024-10-28 Donghoon Youm , Hyunsik Oh , Suyoung Choi , Hyeongjun Kim , Jemin Hwangbo

Achieving highly accurate dynamic or simulator models that are close to the real robot can facilitate model-based controls (e.g., model predictive control or linear-quadradic regulators), model-based trajectory planning (e.g., trajectory…

机器人学 · 计算机科学 2023-05-09 Alexander Schperberg , Yusuke Tanaka , Feng Xu , Marcel Menner , Dennis Hong

Quantum parameter estimation plays a key role in many fields like quantum computation, communication and metrology. Optimal estimation allows one to achieve the most precise parameter estimates, but requires accurate knowledge of the model.…

量子物理 · 物理学 2017-05-15 Shibdas Roy , Dominic W. Berry , Ian R. Petersen , Elanor H. Huntington

This article explores the estimation of parameters and states for linear stochastic systems with deterministic control inputs. It introduces a novel Kalman filtering approach called Kalman Filtering with Correlated Noises Recursive…

系统与控制 · 电气工程与系统科学 2025-07-11 Abd El Mageed Hag Elamin Khalid