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Structural identification and damage detection can be generalized as the simultaneous estimation of input forces, physical parameters, and dynamical states. Although Kalman-type filters are efficient tools to address this problem, the…

Applications · Statistics 2022-10-04 Daniz Teymouri , Omid Sedehi , Lambros S. Katafygiotis , Costas Papadimitriou

In this paper machine learning and artificial neural network models are proposed for the classification of external noise sources affecting a given quantum dynamics. For this purpose, we train and then validate support vector machine,…

Quantum Physics · Physics 2023-02-17 Stefano Martina , Stefano Gherardini , Filippo Caruso

We consider the change detection problem where the pre-change observation vectors are purely noise and the post-change observation vectors are noise-corrupted compressive measurements of sparse signals with a common support, measured using…

Signal Processing · Electrical Eng. & Systems 2019-01-25 Aditi Jain , Pradeep Sarvepalli , Srikrishna Bhashyam , Arun Pachai Kannu

Understanding the effect of uncertainty and noise in data on machine learning models (MLM) is crucial in developing trust and measuring performance. In this paper, a new model is proposed to quantify uncertainties and noise in data on MLMs.…

Machine Learning · Computer Science 2024-12-10 Usman Anjum , Chris Trentman , Elrod Caden , Justin Zhan

Differential equations and numerical methods are extensively used to model various real-world phenomena in science and engineering. With modern developments, we aim to find the underlying differential equation from a single observation of…

Numerical Analysis · Mathematics 2025-06-10 Roy Y. He , Hao Liu , Wenjing Liao , Sung Ha Kang

Many important tasks of large-scale recommender systems can be naturally cast as testing multiple linear forms for noisy matrix completion. These problems, however, present unique challenges because of the subtle bias-and-variance tradeoff…

Methodology · Statistics 2025-03-12 Wanteng Ma , Lilun Du , Dong Xia , Ming Yuan

Boson sampling is one of the main quantum computation models to demonstrate the quantum computational advantage. However, this aim may be hard to realize considering two main kinds of noises, which are photon distinguishability and photon…

Quantum Physics · Physics 2024-08-20 Yang Ji , Yongzheng Wu , Shi Wang , Jie Hou , Meiling Chen , Ming Ni

The subspace method is one of the mainstream system identification method of linear systems, and its basic idea is to estimate the system parameter matrices by projecting them into a subspace related to input and output. However, most of…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Xiangyu Mao , Jianping He , Chengcheng Zhao

Phase noise correction is crucial to exploit full advantage of orthogonal frequency division multiplexing (OFDM) in modern high-data-rate communications. OFDM channel estimation with simultaneous phase noise compensation has therefore drawn…

Information Theory · Computer Science 2017-04-25 Zhongju Wang , Prabhu Babu , Daniel P. Palomar

One of the major challenges in multivariate analysis is the estimation of population covariance matrix from sample covariance matrix (SCM). Most recent covariance matrix estimators use either shrinkage transformations or asymptotic results…

Methodology · Statistics 2019-12-10 Samruddhi Deshmukh , Amartansh Dubey

The algorithm with compensation of parametric uncertainties, external disturbances and measurement noises for linear time-invariant plants is designed. It is assumed, that the dimension of the noise can be equaled to the state vector…

Systems and Control · Computer Science 2016-11-30 Igor B. Furtat

In observational studies, weighting methods that directly optimize the balance between treatment and covariates have received much attention lately; however these have mainly focused on binary treatments. Inspired by domain adaptation, we…

Statistics Theory · Mathematics 2020-02-27 Guillaume Martinet

Identifying unknown differential equations from a given set of discrete time dependent data is a challenging problem. A small amount of noise can make the recovery unstable, and nonlinearity and differential equations with varying…

Numerical Analysis · Mathematics 2019-04-09 Sung Ha Kang , Wenjing Liao , Yingjie Liu

Precipitation nowcasting based on radar echo maps is essential in meteorological research. Recently, Convolutional RNNs based methods dominate this field, but they cannot be solved by parallel computation resulting in longer inference time.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Feng Sun , Cong Bai

In this paper, we present an algorithm for learning time-correlated measurement covariances for application in batch state estimation. We parameterize the inverse measurement covariance matrix to be block-banded, which conveniently…

Robotics · Computer Science 2023-03-14 David J. Yoon , Timothy D. Barfoot

Automated detection of voice disorders with computational methods is a recent research area in the medical domain since it requires a rigorous endoscopy for the accurate diagnosis. Efficient screening methods are required for the diagnosis…

Quantitative Methods · Quantitative Biology 2018-12-06 Vibhuti Gupta

This paper considers the regularized estimation of covariance matrices (CM) of high-dimensional (compound) Gaussian data for minimum variance distortionless response (MVDR) beamforming. Linear shrinkage is applied to improve the accuracy…

Signal Processing · Electrical Eng. & Systems 2021-04-06 Lei Xie , Zishu He , Jun Tong , Jun Li , Jiangtao Xi

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Krishan Mohan Nagpal

This paper presents a new algorithm for speaker recognition based on the combination between the classical Vector Quantization (VQ) and Covariance Matrix (CM) methods. The combined VQ-CM method improves the identification rates of each…

Sound · Computer Science 2022-03-24 Marcos Faundez-Zanuy

Abstract Covariance matrix estimation is a challenging problem in cosmology. Recent work has shown that model covariance matrices can be precise, and that at relatively large scales they can also be accurate. We introduce a data-driven…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-13 Ross O'Connell