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This technical note considers the identification of nonlinear discrete-time systems with additive process noise but without measurement noise. In particular, we propose a method and its associated algorithm to identify the system nonlinear…

Optimization and Control · Mathematics 2015-04-27 Wei Pan , Ye Yuan , Jorge Gonçalves , Guy-Bart Stan

Feature selection is an important task in many problems occurring in pattern recognition, bioinformatics, machine learning and data mining applications. The feature selection approach enables us to reduce the computation burden and the…

Machine Learning · Computer Science 2016-08-30 Hadi Zare , Mojtaba Niazi

This paper proposes a equivariant filtering (EqF) framework for the inertial-integrated state estimation problem. As the kinematic system of the inertial-integrated navigation can be naturally modeling on the matrix Lie group $SE_2(3)$, the…

Robotics · Computer Science 2021-04-20 Yarong Luo , Chi Guo , Jingnan Liu

Feature selection is important step in machine learning since it has shown to improve prediction accuracy while depressing the curse of dimensionality of high dimensional data. The neural networks have experienced tremendous success in…

Machine Learning · Computer Science 2021-07-13 Peter Bugata , Peter Drotar

Identification of nonlinear dynamic systems remains a significant challenge across engineering. This work suggests an approach based on Bayesian filtering to extract and identify the contribution of an unknown nonlinear term in the system…

Machine Learning · Statistics 2022-07-01 Timothy J. Rogers , Tobias Friis

Optimal Bayesian feature selection (OBFS) is a multivariate supervised screening method designed from the ground up for biomarker discovery. In this work, we prove that Gaussian OBFS is strongly consistent under mild conditions, and provide…

Machine Learning · Statistics 2020-02-04 Ali Foroughi pour , Lori A. Dalton

Data-driven functions for operation and management often require measurements collected through monitoring for model training and prediction. The number of data sources can be very large, which requires a significant communication and…

Machine Learning · Computer Science 2020-10-29 Xiaoxuan Wang , Forough Shahab Samani , Rolf Stadler

Online selection of dynamic features has attracted intensive interest in recent years. However, existing online feature selection methods evaluate features individually and ignore the underlying structure of feature stream. For instance, in…

Computer Vision and Pattern Recognition · Computer Science 2016-08-23 Jing Wang , Meng Wang , Peipei Li , Luoqi Liu , Zhongqiu Zhao , Xuegang Hu , Xindong Wu

We study the problem of inferring a sparse vector from random linear combinations of its components. We propose the Accelerated Orthogonal Least-Squares (AOLS) algorithm that improves performance of the well-known Orthogonal Least-Squares…

Machine Learning · Statistics 2018-04-17 Abolfazl Hashemi , Haris Vikalo

The goal of this work is to fill a gap in [Yang, SIAM J. Matrix Anal. Appl, 41 (2020), 1797--1825]. In that work, an approximation procedure was proposed for orthogonal low-rank tensor approximation; however, the approximation lower bound…

Optimization and Control · Mathematics 2021-01-01 Yuning Yang

Live fish recognition is one of the most crucial elements of fisheries survey applications where vast amount of data are rapidly acquired. Different from general scenarios, challenges to underwater image recognition are posted by poor image…

Computer Vision and Pattern Recognition · Computer Science 2016-03-08 Meng-Che Chuang , Jenq-Neng Hwang , Kresimir Williams

Radial Basis Function Networks (RBFNs) are used primarily to solve curve-fitting problems and for non-linear system modeling. Several algorithms are known for the approximation of a non-linear curve from a sparse data set by means of RBFNs.…

Neural and Evolutionary Computing · Computer Science 2009-09-25 Carlo Drioli , Davide Rocchesso

In the last decade, embedded multi-label feature selection methods, incorporating the search for feature subsets into model optimization, have attracted considerable attention in accurately evaluating the importance of features in…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Xueyuan Xu , Fulin Wei , Tianyuan Jia , Li Zhuo , Feiping Nie , Xia Wu

Our proposal is on a new stochastic optimizer for non-convex and possibly non-smooth objective functions typically defined over large dimensional design spaces. Towards this, we have tried to bridge noise-assisted global search and faster…

Machine Learning · Computer Science 2025-03-03 Uttam Suman , Mariya Mamajiwala , Mukul Saxena , Ankit Tyagi , Debasish Roy

Unknown nonlinear dynamics can limit the performance of model-based feedforward control. The aim of this paper is to develop a feedforward control framework for systems with unknown, typically nonlinear, dynamics. To address the unknown…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Johan Kon , Dennis Bruijnen , Jeroen van de Wijdeven , Marcel Heertjes , Tom Oomen

In order to identify complicated systems, more prominent and promising methods are needed among which we may refer to fractional order differential equations. The aim of this paper is to propose a fractional order nonlinear model to predict…

Plasma Physics · Physics 2017-06-20 Z. Aslipour , A. Yazdizadeh

In many applications, particularly in the natural sciences, the available high-dimensional set of features may contain variables that are not correlated with the response under consideration. Such irrelevant features can, in certain cases,…

Statistics Theory · Mathematics 2025-07-28 Gianluca Finocchio , Tatyana Krivobokova

Linear models, such as force constant (FC) and cluster expansions, play a key role in physics and materials science. While they can in principle be parametrized using regression and feature selection approaches, the convergence behavior of…

Materials Science · Physics 2021-01-14 Erik Fransson , Fredrik Eriksson , Paul Erhart

Flapping-fin underwater vehicle propulsion systems provide an alternative to propeller-driven systems in situations that require involve a constrained environment or require high maneuverability. Testing new configurations through…

Robotics · Computer Science 2024-06-05 Julian Lee , Kamal Viswanath , Alisha Sharma , Jason Geder , Ravi Ramamurti , Marius D. Pruessner

Recently, randomized algorithms for low-rank approximation of quaternion matrices have received increasing attention. However, for large-scale problems, existing quaternion orthonormalizations are inefficient, leading to slow rangefinders.…

Numerical Analysis · Mathematics 2024-06-19 Chao Chang , Yuning Yang