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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

Kernel mean embeddings, a widely used technique in machine learning, map probability distributions to elements of a reproducing kernel Hilbert space (RKHS). For supervised learning problems, where input-output pairs are observed, the…

机器学习 · 统计学 2024-10-24 Ambrus Tamás , Balázs Csanád Csáji

Multiscale Models are known to be successful in uncovering and analyzing the structures in data at different resolutions. In the current work we propose a feature driven Reproducing Kernel Hilbert space (RKHS), for which the associated…

机器学习 · 计算机科学 2022-08-24 Prashant Shekhar , Abani Patra

Extended Kalman Filter (EKF) has been a popular approach to localization a mobile robot. However, the performance of the EKF and the quality of the estimation depends on the correct a priori knowledge of process and measurement noise…

其他计算机科学 · 计算机科学 2010-04-20 Ramazan Havangi , Mohammad Ali Nekoui , Mohammad Teshnehlab

In this paper, we introduce and study a new extragradient iterative process for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality for an…

泛函分析 · 数学 2014-05-22 Ibrahim Karahan , Murat Ozdemir

We study adaptive aggregation for heterogeneous local SGD in convex finite-sum optimization, allowing heterogeneous local horizons, minibatch sizes, gradient noise, and participation. We introduce HEW-Local SGD, a corrected local-SGD method…

最优化与控制 · 数学 2026-04-29 Dmitry Pasechnyuk-Vilensky , Martin Takáč

We study the inverse medium scattering problem to reconstruct the unknown inhomogeneous medium from the far-field patterns of scattered waves. The inverse scattering problem is generally ill-posed and nonlinear, and the iterative…

偏微分方程分析 · 数学 2022-08-31 Takashi Furuya , Roland Potthast

In this paper, we consider the nonparametric least square regression in a Reproducing Kernel Hilbert Space (RKHS). We propose a new randomized algorithm that has optimal generalization error bounds with respect to the square loss, closing a…

机器学习 · 计算机科学 2019-05-28 Kwang-Sung Jun , Ashok Cutkosky , Francesco Orabona

This paper proposes an efficient algorithm (HOLRR) to handle regression tasks where the outputs have a tensor structure. We formulate the regression problem as the minimization of a least square criterion under a multilinear rank…

机器学习 · 计算机科学 2016-02-23 Guillaume Rabusseau , Hachem Kadri

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…

信号处理 · 电气工程与系统科学 2025-09-12 Hassan Mortada , Cyril Falcon , Yanis Kahil , Mathéo Clavaud , Jean-Philippe Michel

In this paper, we propose an interior-point method for linearly constrained optimization problems (possibly nonconvex). The method - which we call the Hessian barrier algorithm (HBA) - combines a forward Euler discretization of Hessian…

最优化与控制 · 数学 2023-09-14 Immanuel M. Bomze , Panayotis Mertikopoulos , Werner Schachinger , Mathias Staudigl

This paper considers a stochastic optimization problem over the fixed point sets of quasinonexpansive mappings on Riemannian manifolds. The problem enables us to consider Riemannian hierarchical optimization problems over complicated sets,…

最优化与控制 · 数学 2020-12-18 Hideaki Iiduka , Hiroyuki Sakai

Localization in indoor environments is a technique which estimates the robot's pose by fusing data from onboard motion sensors with readings of the environment, in our case obtained by scan matching point clouds captured by a low-cost…

系统与控制 · 计算机科学 2015-03-05 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

Imaging in radioastronomy is an ill-posed inverse problem. Particularly the Event Horizon Telescope (EHT) Collaboration investigated the fidelity of their image reconstructions convincingly by large surveys solving the problem with…

天体物理仪器与方法 · 物理学 2023-07-05 Hendrik Müller , Alejandro Mus , Andrei Lobanov

Vision-aided localization for low-cost mobile robots in diverse environments has attracted widespread attention recently. Although many current systems are applicable in daytime environments, nocturnal visual localization is still an open…

机器人学 · 计算机科学 2024-03-05 Tianxiao Gao , Mingle Zhao , Chengzhong Xu , Hui Kong

In this paper, we develop {finite-time horizon} causal filters using the nonanticipative rate distortion theory. We apply the {developed} theory to {design optimal filters for} time-varying multidimensional Gauss-Markov processes, subject…

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

RGB-D sensors face multiple challenges operating under open-field environments because of their sensitivity to external perturbations such as radiation or rain. Multiple works are approaching the challenge of perceiving the 3D position of…

机器人学 · 计算机科学 2025-01-08 Sandro Costa Magalhães , António Paulo Moreira , Filipe Neves dos Santos , Jorge Dias

The present work is concerned with the stabilization of a general class of time-varying linear parabolic equations by means of a finite-dimensional receding horizon control (RHC). The stability and suboptimality of the unconstrained…

最优化与控制 · 数学 2019-01-09 Behzad Azmi , Karl Kunisch

In this paper, we consider the collaborative attitude estimation problem for a multi-agent system. The agents are equipped with sensors that provide directional measurements and relative attitude measurements. We present a bottom-up…

系统与控制 · 电气工程与系统科学 2024-07-23 Yixiao Ge , Behzad Zamani , Pieter van Goor , Jochen Trumpf , Robert Mahony