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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

Test-time adaptation (TTA) refers to adjusting the model during the testing phase to cope with changes in sample distribution and enhance the model's adaptability to new environments. In real-world scenarios, models often encounter samples…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Ziqiong Liu , Yushun Tang , Junyang Ji , Zhihai He

Nonlinear parametric inverse problems appear in many applications and are typically very expensive to solve, especially if they involve many measurements. These problems pose huge computational challenges as evaluating the objective…

Numerical Analysis · Mathematics 2020-03-25 Drayton Munster , Eric de Sturler

This study proposes an anomaly detection method based on the Transformer architecture with integrated multiscale feature perception, aiming to address the limitations of temporal modeling and scale-aware feature representation in cloud…

Machine Learning · Computer Science 2025-08-26 Lian Lian , Yilin Li , Song Han , Renzi Meng , Sibo Wang , Ming Wang

Approximations based on rational functions are widely used in various applications across computational science and engineering. For univariate functions, the adaptive Antoulas-Anderson algorithm (AAA), which uses the barycentric form of a…

Numerical Analysis · Mathematics 2025-02-06 Linus Balicki , Serkan Gugercin

We develop new adaptive alternative weighted essentially non-oscillatory (A-WENO) schemes for hyperbolic systems of conservation laws. The new schemes employ the recently proposed local characteristic decomposition based central-upwind…

Numerical Analysis · Mathematics 2022-11-15 Alina Chertock , Shaoshuai Chu , Alexander Kurganov

In this paper, a frequency separation based adaptive feedforward control algorithm is developed with the ability to identify the plant and do compensation region by region. In this algorithm, the accelerometer signal is filtered by a series…

Systems and Control · Electrical Eng. & Systems 2020-12-10 Jinwen Pan , Zhi Chen , Yong Wang , Roberto Horowitz

This paper studies the problem of fault detection and estimation (FDE) for linear time-invariant (LTI) systems with a particular focus on frequency content information of faults, possibly as multiple disjoint continuum ranges, and under…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Jingwei Dong , Kaikai Pan , Sergio Pequito , Peyman Mohajerin Esfahani

To overcome the energy and bandwidth limitations of traditional IoT systems, edge computing or information extraction at the sensor node has become popular. However, now it is important to create very low energy information extraction or…

Machine Learning · Computer Science 2019-12-05 Sumon Kumar Bose , Bapi Kar , Mohendra Roy , Pradeep Kumar Gopalakrishnan , Zhang Lei , Aakash Patil , Arindam Basu

For computational acoustics, schemes need to have low-dispersion and low-dissipation properties in order to capture the amplitude and phase of the wave correctly. To improve the spectral properties of the scheme, the authors have previously…

Computational Physics · Physics 2021-11-15 Y. H. Li , Y. X. Ren , Y. T. Su

We present a method for dimensionally adaptive sparse trigonometric interpolation of multidimensional periodic functions belonging to a smoothness class of finite order. This method targets applications where periodicity must be preserved…

Numerical Analysis · Mathematics 2020-08-28 Zack Morrow , Miroslav Stoyanov

We propose a non grid-based interpolation scheme based on the information from the data collected from the vicinity of the query point. As a non-grid-based interpolation, the data points can be distributed randomly in a small region, and…

Numerical Analysis · Mathematics 2016-09-21 Kai Lin , Wei-Liang Qian

Anomaly detection is fundamental yet, challenging problem with practical applications in industry. The current approaches neglect the higher-order dependencies within the networks of interconnected sensors in the high-dimensional time…

Machine Learning · Computer Science 2024-08-22 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Venkataramana Runkana

Anomaly detection has various applications including condition monitoring and fault diagnosis. The objective is to sense the environment, learn the normal system state, and then periodically classify whether the instantaneous state deviates…

Information Theory · Computer Science 2015-12-16 Kiril Ralinovski , Mario Goldenbaum , Sławomir Stańczak

We present a highly efficient molecular dynamics scheme for calculating the concentration depth profile of dopants in ion irradiated materials. The scheme incorporates several methods for reducing the computational overhead, plus a rare…

Computational Physics · Physics 2009-10-31 Keith M. Beardmore , Niels Gronbech-Jensen

This paper focuses on waveform design for joint radar and communication systems and presents a new subset selection process to improve the communication error rate performance and global accuracy of radar sensing of the random stepped…

Information Theory · Computer Science 2024-01-17 Shalanika Dayarathna , Rajitha Senanayake , Peter Smith , Jamie Evans

The detection and characterization of gravitational wave signals from compact binary coalescence events relies on accurate waveform templates in the frequency domain. The stationary phase approximation (SPA) can be used to compute…

General Relativity and Quantum Cosmology · Physics 2014-12-11 Antoine Klein , Neil Cornish , Nicolás Yunes

Numerical integration and emulation are fundamental topics across scientific fields. We propose novel adaptive quadrature schemes based on an active learning procedure. We consider an interpolative approach for building a surrogate…

Computation · Statistics 2021-01-20 F. Llorente , L. Martino , V. Elvira , D. Delgado , J. López-Santiago

In this paper we present a locally and dimension-adaptive sparse grid method for interpolation and integration of high-dimensional functions with discontinuities. The proposed algorithm combines the strengths of the generalised sparse grid…

Numerical Analysis · Mathematics 2011-10-04 John D. Jakeman , Stephen G. Roberts

Time series anomaly detection is a challenging problem due to the complex temporal dependencies and the limited label data. Although some algorithms including both traditional and deep models have been proposed, most of them mainly focus on…

Machine Learning · Computer Science 2023-03-28 Chaoli Zhang , Tian Zhou , Qingsong Wen , Liang Sun
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