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This paper considers the problem of testing whether there exists a solution satisfying certain non-negativity constraints to a linear system of equations. Importantly and in contrast to some prior work, we allow all parameters in the system…

This paper develops a cooperative fault-tolerant tracking framework for heterogeneous networked linear systems subject to sensor faults and external disturbances. Each unit employs an augmented $\mathcal{H}_\infty$ observer that jointly…

系统与控制 · 电气工程与系统科学 2026-05-11 Moh Kamalul Wafi , Yurid E. Nugraha , Bambang L. Widjiantoro , Katherin Indriawati

Unmanned vehicle navigation concerns estimating attitude, position, and linear velocity of the vehicle the six degrees of freedom (6 DoF). It has been known that the true navigation dynamics are highly nonlinear modeled on the Lie Group of…

系统与控制 · 电气工程与系统科学 2021-09-20 Ajay Singh Ludher , Marium Tawhid , Hashim A. Hashim

In functional data analysis, binary classification with one functional covariate has been extensively studied. We aim to fill in the gap of considering multivariate functional covariates in classification. In particular, we propose an…

机器学习 · 统计学 2025-08-11 Bingfan Liu , Peijun Sang

The increase in available data and complexity of dynamical systems has sparked the research on data-based system performance analysis and controller design. Recent approaches can guarantee performance and robust controller synthesis based…

系统与控制 · 电气工程与系统科学 2022-02-21 Tom R. V. Steentjes , Mircea Lazar , Paul M. J. Van den Hof

Identifying parameters in a system of nonlinear, ordinary differential equations is vital for designing a robust controller. However, if the system is stochastic in its nature or if only noisy measurements are available, standard…

系统与控制 · 电气工程与系统科学 2022-10-10 Tobias Nagel , Marco F. Huber

Functional data analysis is becoming increasingly popular to study data from real-valued random functions. Nevertheless, there is a lack of multiple testing procedures for such data. These are particularly important in factorial designs to…

统计方法学 · 统计学 2024-06-04 Merle Munko , Marc Ditzhaus , Markus Pauly , Łukasz Smaga

This paper considers the secure state estimation problem for noisy systems in the presence of sparse sensor integrity attacks. We show a fundamental limitation: that is, 2r-detectability is necessary for achieving bounded estimation errors,…

最优化与控制 · 数学 2018-03-20 Yorie Nakahira , Yilin Mo

Functional depth is used for ranking functional observations from most outlying to most typical. The ranks produced by functional depth have been proposed as the basis for functional classifiers, rank tests, and data visualization…

统计方法学 · 统计学 2016-11-02 James P. Long , Jianhua Z. Huang

We study a class of filters -- discrete finite-state transition systems employed as incremental stream transducers -- that have application to robotics: e.g., to model combinatorial estimators and also as concise encodings of feedback…

机器人学 · 计算机科学 2022-04-04 Yulin Zhang , Dylan A. Shell

Linear mixture models have proven very useful in a plethora of applications, e.g., topic modeling, clustering, and source separation. As a critical aspect of the linear mixture models, identifiability of the model parameters is…

机器学习 · 计算机科学 2021-02-24 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Kejun Huang

Ensuring fault tolerance of Highly Automated Vehicles (HAVs) is crucial for their safety due to the presence of potentially severe faults. Hence, Fault Injection (FI) testing is conducted by practitioners to evaluate the safety level of…

软件工程 · 计算机科学 2024-08-01 Yuewen Mei , Tong Nie , Jian Sun , Ye Tian

The goal of a recommendation system is to predict the interest of a user in a given item by exploiting the existing set of ratings as well as certain user/item features. A standard approach to modeling this problem is Inductive Matrix…

机器学习 · 计算机科学 2018-05-29 Kai Zhong , Zhao Song , Prateek Jain , Inderjit S. Dhillon

The modeling framework of port-Hamiltonian systems is systematically extended to constrained dynamical systems (descriptor systems, differential-algebraic equations). A new algebraically and geometrically defined system structure is…

最优化与控制 · 数学 2017-08-29 Christopher Beattie , Volker Mehrmann , Hongguo Xu , Hans Zwart

This work deals with the problem of designing observers for the estimation of a single function of the states for discrete-time nonlinear systems. Necessary and sufficient conditions for the existence of lower order functional observers…

系统与控制 · 电气工程与系统科学 2021-10-19 Sunjeev Venkateswaran , Benjamin A. Wilhite , Costas Kravaris

This paper studies the problems of identifiability and estimation in high-dimensional nonparametric latent structure models. We introduce an identifiability theorem that generalizes existing conditions, establishing a unified framework…

统计理论 · 数学 2025-08-06 Yichen Lyu , Pengkun Yang

Monitoring complex systems results in massive multivariate time series data, and anomaly detection of these data is very important to maintain the normal operation of the systems. Despite the recent emergence of a large number of anomaly…

机器学习 · 计算机科学 2021-06-14 Liwei Deng , Xuanhao Chen , Yan Zhao , Kai Zheng

Low dimensional nonlinear structure abounds in datasets across computer vision and machine learning. Kernelized matrix factorization techniques have recently been proposed to learn these nonlinear structures for denoising, classification,…

机器学习 · 计算机科学 2021-06-01 Jicong Fan , Chengrun Yang , Madeleine Udell

Multiplicative noise widely exists in radar images, medical images and other important fields' images. Compared to normal noises, multiplicative noise has a generally stronger effect on the visual expression of images. Aiming at the…

图像与视频处理 · 电气工程与系统科学 2026-04-14 Xiao Siyao , Huang Libing , Zhang Shunsheng

Latent feature models (LFM)s are widely employed for extracting latent structures of data. While offering high, parameter estimation is difficult with LFMs because of the combinational nature of latent features, and non-identifiability is a…

机器学习 · 计算机科学 2018-09-27 Ryota Suzuki , Shingo Takahashi , Murtuza Petladwala , Shigeru Kohmoto