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In this article we introduce the use of recently developed min/max-plus techniques in order to solve the optimal attitude estimation problem in filtering for nonlinear systems on the special orthogonal (SO(3)) group. This work helps obtain…

Optimization and Control · Mathematics 2012-11-08 Srinivas Sridharan , William M. McEneaney

The solving of scientific and practical application connected with conducting of satellite experiments and measurement demand analysis of geometric and physic conditions according to different kind of models. This is forced in connect of…

Space Physics · Physics 2010-02-26 Atanas Marinov Atanassov

The full spectrum of transfer matrices of the general eight-vertex model on a square lattice is obtained by numerical diagonalization. The eigenvalue spacing distribution and the spectral rigidity are analyzed. In non-integrable regimes we…

Condensed Matter · Physics 2009-10-28 Hendrik Meyer , Jean-Christian Anglès d'Auriac , Henrik Bruus

The autonomous systems need to decide how to react to the changes at runtime efficiently. The ability to rigorously analyze the environment and the system together is theoretically possible by the model-driven approaches; however, the model…

Software Engineering · Computer Science 2021-10-28 Melika Dastranj , Mehran Alidoost Nia , Mehdi Kargahi

This paper proposes new algorithms for attitude estimation and control based on fused inertial vector measurements using linear complementary filters principle. First, n-order direct and passive complementary filters combined with TRIAD…

Optimization and Control · Mathematics 2015-03-11 L. Benziane , A. El Hadri , A. Seba , A. Benallegue , Y. Chitour

This paper conveys attitude and rate estimation without rate sensors by performing a critical comparison, validated by extensive simulations. The two dominant approaches to facilitate attitude estimation are based on stochastic and…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Nikolaos Koumpis , Panagiotis Panagiotou , Ioannis Arvanitakis

We analyze and experimentally compare various rotational error metrics for use in quadrotor controllers. Traditional quadrotor attitude controllers have used Euler angles or the full rotation to compute an attitude error and scale that to…

Robotics · Computer Science 2020-11-25 Alexander Spitzer , Nathan Michael

This paper addresses the challenge of probabilistic parameter estimation given measurement uncertainty in real-time. We provide a general formulation and apply this to pose estimation for an autonomous visual landing system. We present…

The reliability assessment of a machine learning model's prediction is an important quantity for the deployment in safety critical applications. Not only can it be used to detect novel sceneries, either as out-of-distribution or anomaly…

Machine Learning · Computer Science 2022-05-12 Steve Dias Da Cruz , Bertram Taetz , Thomas Stifter , Didier Stricker

Over the last decades quaternions have become a crucial and very successful tool for attitude representation in robotics and aerospace. However, there is a major problem that is continuously causing trouble in practice when it comes to…

Robotics · Computer Science 2018-02-06 Hannes Sommer , Igor Gilitschenski , Michael Bloesch , Stephan Weiss , Roland Siegwart , Juan Nieto

This paper presents in detail the originally developed Quadratic Point Estimate Method (QPEM), aimed at efficiently and accurately computing the first four output moments of probabilistic distributions, using 2n^2+1 sample (or sigma)…

Numerical Analysis · Mathematics 2024-03-21 Minhyeok Ko , Konstantinos G. Papakonstantinou

Spectral methods have been the mainstay in several domains such as machine learning and scientific computing. They involve finding a certain kind of spectral decomposition to obtain basis functions that can capture important structures for…

Machine Learning · Computer Science 2020-04-20 Majid Janzamin , Rong Ge , Jean Kossaifi , Anima Anandkumar

In this paper, we address the problem of adaptive learning for autoregressive moving average (ARMA) model in the quaternion domain. By transforming the original learning problem into a full information optimization task without explicit…

Machine Learning · Statistics 2019-04-29 Xiaokun Pu , Chunguang Li

In this work feedback control laws are designed for achieving three-axis attitude stabilization of inertial pointing spacecraft using only magnetic torquers. The designs are based on an almost periodic model of geomagnetic field along the…

Optimization and Control · Mathematics 2015-06-23 Fabio Celani

Aspect based sentiment analysis (ABSA) deals with the identification of the sentiment polarity of a review sentence towards a given aspect. Deep Learning sequential models like RNN, LSTM, and GRU are current state-of-the-art methods for…

Computation and Language · Computer Science 2022-08-05 Ashish Kumar , Vasundhra Dahiya , Aditi Sharan

Aspect-based sentiment analysis (ABSA) aims to identify four sentiment elements, including aspect term, aspect category, opinion term, and sentiment polarity. These elements construct a complete picture of sentiments. The most challenging…

Computation and Language · Computer Science 2026-02-09 Wenna Lai , Haoran Xie , Guandong Xu , Qing Li

This paper proposes a novel active visuo-tactile based methodology wherein the accurate estimation of the time-invariant SE(3) pose of objects is considered for autonomous robotic manipulators. The robot equipped with tactile sensors on the…

Robotics · Computer Science 2021-08-10 Prajval Kumar Murali , Michael Gentner , Mohsen Kaboli

We propose a novel approach for estimating conditional or parametric expectations in the setting where obtaining samples or evaluating integrands is costly. Through the framework of probabilistic numerical methods (such as Bayesian…

Machine Learning · Statistics 2024-06-25 Zonghao Chen , Masha Naslidnyk , Arthur Gretton , François-Xavier Briol

An investigation on stochastic deflection of high-energy negatively charged particles in a bent crystal was carried out. On the basis of analytical calculation and numerical simulation it was shown that it exists a maximum angle at which…

Accelerator Physics · Physics 2017-03-08 I. V. Kirillin , N. F. Shul'ga , L. Bandiera , V. Guidi , A. Mazzolari

In many applications it is important to understand the sensitivity of eigenvalues of a matrix polynomial to perturbations of the polynomial. The sensitivity commonly is described by condition numbers or pseudospectra. However, the…

Numerical Analysis · Mathematics 2017-04-06 Silvia Noschese , Lothar Reichel
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