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In the classic measurement error framework, covariates are contaminated by independent additive noise. This paper considers parameter estimation in such a linear errors-in-variables model where the unknown measurement error distribution is…

Methodology · Statistics 2023-10-24 Linh H. Nghiem , Cornelis J. Potgieter

This paper introduces a novel methodology for the identification of switching dynamics for switched autoregressive linear models. Switching behavior is assumed to follow a Markov model. The system's outputs are contaminated by possibly…

Signal Processing · Electrical Eng. & Systems 2019-03-28 Sarah Hojjatinia , Constantino M. Lagoa

Estimating the state of an environment from high-dimensional, multimodal, and noisy observations is a fundamental challenge in reinforcement learning (RL). Traditional approaches rely on probabilistic models to account for the uncertainty,…

Machine Learning · Computer Science 2026-02-13 Alfredo Reichlin , Adriano Pacciarelli , Danica Kragic , Miguel Vasco

The factor modeling for high-dimensional time series is powerful in discovering latent common components for dimension reduction and information extraction. Most available estimation methods can be divided into two categories: the…

Methodology · Statistics 2026-05-26 Xinghao Qiao , Zihan Wang , Qiwei Yao , Bo Zhang

In the identification of differential equations from data, significant progresses have been made with the weak/integral formulation. In this paper, we explore the direction of finding more efficient and robust test functions adaptively…

Numerical Analysis · Mathematics 2025-06-05 Jiahui Cheng , Sung Ha Kang , Haomin Zhou , Wenjing Liao

We demonstrate mitigation of inter-channel nonlinear interference noise (NLIN) in WDM systems for several amplification schemes. Using a practical decision directed recursive least-squares algorithm, we take advantage of the temporal…

Optics · Physics 2014-05-13 Ronen Dar , Omri Geller , Meir Feder , Antonio Mecozzi , Mark Shtaif

Multichannel speech enhancement is widely used as a front-end in microphone array processing systems. While most existing approaches produce a single enhanced signal, direction-preserving multiple-input multiple-output (MIMO) methods…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-14 Thomas Deppisch

This paper proposes a recursive interval-valued estimation framework for identifying the parameters of linearly parameterized systems which may be slowly time-varying. It is assumed that the model error (which may consist in measurement…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Laurent Bako , Seydi Ndiaye , Eric Blanco

We introduce and validate a machine-learning assisted quantum sensing protocol to classify spatial and temporal correlations of classical noise affecting two ultrastrongly coupled qubits. We consider six distinct classes of Markovian and…

In this paper we the formulation of inverse problems as constrained minimization problems and their iterative solution by gradient or Newton type. We carry out a convergence analysis in the sense of regularization methods and discuss…

Numerical Analysis · Mathematics 2021-01-15 Barbara Kaltenbacher , Kha Van Huynh

The multipath radio channel is considered to have a non-bandlimited channel impulse response. Therefore, it is challenging to achieve high resolution time-delay (TD) estimation of multipath components (MPCs) from bandlimited observations of…

Signal Processing · Electrical Eng. & Systems 2019-12-11 Tarik Kazaz , Gerard J. M. Janssen , Alle-Jan van der Veen

The matrix pencil method (MPM) is a well-known technique for estimating the parameters of exponentially damped sinusoids in noise by solving a generalized eigenvalue problem. However, in several cases, this is an ill-conditioned problem…

Signal Processing · Electrical Eng. & Systems 2024-04-18 Raymundo Albert , Cecilia G. Galarza

Differential dynamic microscopy (DDM) typically relies on movies containing hundreds or thousands of frames to accurately quantify motion in soft matter systems. Using movies much shorter in duration produces noisier and less accurate…

Soft Condensed Matter · Physics 2024-11-05 Gildardo Martinez , Justin Siu , Steven Dang , Dylan Gage , Emma Kao , Juan Carlos Avila , Ruilin You , Ryan McGorty

Many data-analysis problems involve large dense matrices that describe the covariance of stationary noise processes; the computational cost of inverting these matrices, or equivalently of solving linear systems that contain them, is often a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Rutger van Haasteren , Michele Vallisneri

Compressed sensing (CS) demonstrates that sparse signals can be estimated from under-determined linear systems. Distributed CS (DCS) further reduces the number of measurements by considering joint sparsity within signal ensembles. DCS with…

Information Theory · Computer Science 2017-03-24 Junan Zhu , Dror Baron , Florent Krzakala

Previous work regarding low-rank matrix recovery has concentrated on the scenarios in which the matrix is noise-free and the measurements are corrupted by noise. However, in practical application, the matrix itself is usually perturbed by…

Information Theory · Computer Science 2020-03-09 Jianwen Huang , Jianjun Wang , Feng Zhang , Hailin Wang , Wendong Wang

The uniform white noise assumption is one of the basic assumptions in most of the existing directional-of-arrival (DOA) estimation methods. In many applications, however, the non-uniform white noise model is more adequate. Then the noise…

Information Theory · Computer Science 2021-09-21 M. Esfandiari , S. A. Vorobyov , S. Aliban , M. Karimi

The classic integrated conditional moment test is a promising method for testing regression model misspecification. However, it severely suffers from the curse of dimensionality. To extend it to handle the testing problem for parametric…

Statistics Theory · Mathematics 2020-05-26 Falong Tan , Lixing Zhu

In this paper, we introduce a novel iterative algorithm for the problem of phase-retrieval where the measurements consist of only the magnitude of linear function of the unknown signal, and the noise in the measurements follow Poisson…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Ghania Fatima , Zongyu Li , Aakash Arora , Prabhu Babu

This paper introduces two new algorithms to accurately estimate the process noise covariance of a discrete-time Kalman filter online for robust orbit determination in the presence of dynamics model uncertainties. Common orbit determination…

Signal Processing · Electrical Eng. & Systems 2021-05-17 Nathan Stacey , Simone D'Amico
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