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Nonlinear similarity measures defined in kernel space, such as correntropy, can extract higher-order statistics of data and offer potentially significant performance improvement over their linear counterparts especially in non-Gaussian…

机器学习 · 统计学 2017-04-26 Badong Chen , Lei Xing , Bin Xu , Haiquan Zhao , Nanning Zheng , Jose C. Principe

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

In terms of signal samples, we propose and justify a new rank reduced multi-term transform, abbreviated as MTT, which, under certain conditions, may provide better-associated accuracy than that of known optimal rank reduced transforms. The…

最优化与控制 · 数学 2021-11-11 Pablo Soto-Quiros , Anatoli Torokhti

The choice of the stepsize in first-order convex optimization is typically based on the smoothness constant and plays a crucial role in the performance of algorithms. Recently, there has been a resurgent interest in introducing adaptive…

最优化与控制 · 数学 2025-12-04 Reza Rahimi Baghbadorani , Sergio Grammatico , Peyman Mohajerin Esfahani

This paper is concerned with developing a novel distributed Kalman filtering algorithm over wireless sensor networks based on randomized consensus strategy. Compared with the centralized algorithm, distributed filtering techniques require…

系统与控制 · 计算机科学 2018-10-08 Jiahu Qin , Jie Wang , Ling Shi , Yu Kang

In simulation-based inferences for partially observed Markov process models (POMP), the by-product of the Monte Carlo filtering is an approximation of the log likelihood function. Recently, iterated filtering [14, 13] has originally been…

统计方法学 · 统计学 2018-02-26 Dao Nguyen

In this paper, we develop two new randomized block-coordinate optimistic gradient algorithms to approximate a solution of nonlinear equations in large-scale settings, which are called root-finding problems. Our first algorithm is…

最优化与控制 · 数学 2025-06-12 Quoc Tran-Dinh , Yang Luo

A new pattern search method for bound constrained optimization is introduced. The proposed algorithm employs the coordinate directions, in a suitable way, with a nonmonotone line search for accepting the new iterate, without using…

最优化与控制 · 数学 2018-06-25 Johanna A. Frau , Elvio A. Pilotta

In this paper, we study the problem of learning Kalman filtering with unknown system model in partially observed linear dynamical systems. We propose a unified algorithmic framework based on online optimization that can be used to solve…

机器学习 · 计算机科学 2026-03-31 Lintao Ye , Ankang Zhang , Ming Chi , Bin Du , Jianghai Hu

Due to the highly non-convex nature of large-scale robust parameter estimation, avoiding poor local minima is challenging in real-world applications where input data is contaminated by a large or unknown fraction of outliers. In this paper,…

计算机视觉与模式识别 · 计算机科学 2020-03-23 Huu Le , Christopher Zach

This paper develops an efficient implementation of the ensemble Kalman filter based on a modified Cholesky decomposition for inverse covariance matrix estimation. This implementation is named EnKF-MC. Background errors corresponding to…

统计理论 · 数学 2016-05-31 Elias D. Nino , Adrian Sandu , Xinwei Deng

Orbit determination (OD) is a fundamental problem in space surveillance and tracking, crucial for ensuring the safety of space assets. Real-world ground-based optical tracking scenarios often involve challenges such as limited measurement…

应用统计 · 统计学 2024-05-07 Yang Yang

Regularized optimal transport (OT) is now increasingly used as a loss or as a matching layer in neural networks. Entropy-regularized OT can be computed using the Sinkhorn algorithm but it leads to fully-dense transportation plans, meaning…

机器学习 · 统计学 2023-04-17 Tianlin Liu , Joan Puigcerver , Mathieu Blondel

This paper introduces a novel constraint adaptive filtering algorithm based on a relative logarithmic cost function which is termed as Constrained Least Mean Logarithmic Square (CLMLS). The proposed CLMLS algorithm elegantly adjusts the…

系统与控制 · 计算机科学 2018-01-22 Vinay Chakravarthi Gogineni , Subrahmanyam Mula

Kaczmarz algorithm is an efficient iterative algorithm to solve overdetermined consistent system of linear equations. During each updating step, Kaczmarz chooses a hyperplane based on an individual equation and projects the current estimate…

数值分析 · 计算机科学 2015-11-20 Yujun Li , Kaichun Mo , Haishan Ye

Many model order reduction (MOR) methods rely on the computation of an orthonormal basis of a subspace onto which the large full order model is projected. Numerically, this entails the orthogonalization of a set of vectors. The nature of…

数值分析 · 数学 2025-07-11 Maximilian Bindhak , Art J. R. Pelling , Jens Saak

In this paper, we introduce a novel estimator for vision-aided inertial navigation systems (VINS), the Preconditioned Cholesky-based Square Root Information Filter (PC-SRIF). When solving linear systems, employing Cholesky decomposition…

机器人学 · 计算机科学 2025-08-04 Tong Ke , Parth Agrawal , Yun Zhang , Weikun Zhen , Chao X. Guo , Toby Sharp , Ryan C. Dutoit

We examine the use of a structured thresholding algorithm for sparse underwater channel estimation using compressed sensing. This method shows some improvements over standard algorithms for sparse channel estimation such as matching…

应用统计 · 统计学 2010-02-16 Sushil Subramanian

We propose an acceleration scheme for first-order methods (FOMs) for convex quadratic programs (QPs) that is analogous to Anderson acceleration and the Generalized Minimal Residual algorithm for linear systems. We motivate our proposed…

最优化与控制 · 数学 2026-04-09 Gabriel Berk Pereira , Paul J. Goulart

Inertial measurement units are widely used in different fields to estimate the attitude. Many algorithms have been proposed to improve estimation performance. However, most of them still suffer from 1) inaccurate initial estimation, 2)…

机器人学 · 计算机科学 2021-07-28 Yujie Tang , Liang Hu , Qingrui Zhang , Wei Pan