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This paper considers mean square error (MSE) analysis for stochastic gradient sampling algorithms applied to underdamped Langevin dynamics under a global convexity assumption. A novel discrete Poisson equation framework is developed to…

数值分析 · 数学 2025-11-07 Jianfeng Lu , Xuda Ye , Zhennan Zhou

In modern statistics, interests shift from pursuing the uniformly minimum variance unbiased estimator to reducing mean squared error (MSE) or residual squared error. Shrinkage based estimation and regression methods offer better prediction…

统计方法学 · 统计学 2025-02-25 Tianyu Zhan , Haoda Fu , Jian Kang

The unknown inputs in a dynamical system may represent unknown external drivers, input uncertainty, state uncertainty, or instrument faults and thus unknown-input reconstruction has several wide-spread applications. In this paper we…

最优化与控制 · 数学 2015-09-22 Roshan A Chavan , Harish J. Palanthandalam-Madapusi

This paper presents an adaptive Kalman filter for a linear dynamic system perturbed by an additive disturbance. The objective is to estimate both of the state and the unknown disturbance concurrently, while learning the disturbance as a…

最优化与控制 · 数学 2019-10-23 Taeyoung Lee

This paper develops a novel sequential Monte Carlo (SMC) approach for joint state and parameter estimation that can deal efficiently with abruptly changing parameters which is a common case when tracking maneuvering targets. The approach…

统计计算 · 统计学 2015-10-12 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

This paper studies the statistical models of the noise-robust normalized subband adaptive filter (NR-NSAF) algorithm in the mean and mean square deviation senses involving transient-state and steady-state behavior by resorting to the method…

信号处理 · 电气工程与系统科学 2019-08-22 Yi Yu , Haiquan Zhao , Badong Chen , Wenyuan Wang , Lu Lu

Control systems are inevitably affected by external disturbances, and a major objective of the control design is to attenuate or eliminate their adverse effects on the system performance. This paper presents a disturbance rejection approach…

系统与控制 · 电气工程与系统科学 2020-07-30 Zhitao Li , Amin Vahidi-Moghaddam , Hamidreza Modares , Jinsheng Sun

In order to decrease the steady-state error and reduce the computational complexity and increase the ability to identify a large unknown system, a convex combination of overlap-save frequency-domain adaptive filters (COSFDAF) algorithm is…

系统与控制 · 计算机科学 2018-05-04 Sihai Guan , Zhi Li

This article presents the formulation and steady-state analysis of the distributed estimation algorithms based on the diffusion cooperation scheme in the presence of errors due to the unreliable data transfer among nodes. In particular, we…

系统与控制 · 计算机科学 2013-10-29 Saeed Ghazanfari-Rad , Fabrice Labeau

An important and often overlooked aspect of particle filtering methods is the estimation of unknown static parameters. A simple approach for addressing this problem is to augment the unknown static parameters as auxiliary states that are…

信号处理 · 电气工程与系统科学 2024-11-01 Xiaokun Zhao , Marija Iloska , Yousef El-Laham , Mónica F. Bugallo

In this paper, a self-adaptive contractive (SAC) algorithm is proposed for enhanced dynamic phasor estimation in the diverse operating conditions of modern power systems. At a high-level, the method is composed of three stages: parameter…

信号处理 · 电气工程与系统科学 2019-05-01 Francisco Messina , Pablo Marchi , Leonardo Rey Vega , Cecilia Galarza

Mean-field, ensemble-chain, and adaptive samplers have historically been viewed as distinct approaches to Monte Carlo sampling. In this paper, we present a unifying {two-system} framework that brings all three under one roof. In our…

统计计算 · 统计学 2026-05-13 James Chok , Myung Won Lee , Daniel Paulin , Geoffrey M. Vasil

Although adaptive optimization algorithms have been successful in many applications, there are still some mysteries in terms of convergence analysis that have not been unraveled. This paper provides a novel non-convex analysis of adaptive…

最优化与控制 · 数学 2025-04-08 Zhishuai Guo , Yi Xu , Wotao Yin , Rong Jin , Tianbao Yang

In real-time applications the characteristics and properties of a signal vary inconsistently. So, to maintain the integrity of such signals there is a need for effective adaptive filters. The conventional Least Mean Squared(LMS) algorithm…

信号处理 · 电气工程与系统科学 2021-12-01 R Sankara Prasad

The performance of spatial multiplexing systems with linear minimum-mean-squared-error receivers is investigated in ad hoc networks. It is shown that single-stream transmission is preferable over multi-stream transmission, due to the weaker…

信息论 · 计算机科学 2010-03-17 Raymond H. Y. Louie , Matthew R. McKay , Nihar Jindal , Iain B. Collings

In many practical settings one can sequentially and adaptively guide the collection of future data, based on information extracted from data collected previously. These sequential data collection procedures are known by different names,…

统计理论 · 数学 2013-11-28 Ervin Tánczos , Rui M. Castro

We consider the general performance of the difference-in-means estimator in an equally-allocated two-arm randomized experiment under common experimental endpoints such as continuous (regression), incidence, proportion, count and uncensored…

统计方法学 · 统计学 2024-11-07 David Azriel , Abba M. Krieger , Adam Kapelner

In this work we propose an approximate Minimum Mean-Square Error (MMSE) filter for linear dynamic systems with Gaussian Mixture noise. The proposed estimator tracks each component of the Gaussian Mixture (GM) posterior with an individual…

系统与控制 · 计算机科学 2015-06-26 Leila Pishdad , Fabrice Labeau

Auxiliary particle filters (APFs) are a class of sequential Monte Carlo (SMC) methods for Bayesian inference in state-space models. In their original derivation, APFs operate in an extended state space using an auxiliary variable to improve…

统计计算 · 统计学 2021-06-17 Nicola Branchini , Víctor Elvira

For systems with uncertain linear models, bounded additive disturbances and state and control constraints, a robust model predictive control algorithm incorporating online model adaptation is proposed. Sets of model parameters are…

最优化与控制 · 数学 2020-07-16 Xiaonan Lu , Mark Cannon , Denis Koksal-Rivet