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We develop a sufficient condition for the least-squares measurement (LSM), or the square-root measurement, to minimize the probability of a detection error when distinguishing between a collection of mixed quantum states. Using this…

Quantum Physics · Physics 2007-05-23 Yonina C. Eldar , Alexandre Megretski , George C. Verghese

We propose an optimization formulation for the simultaneous estimation of a latent variable and the identification of a linear continuous-time dynamic system, given a single input-output pair. We justify this approach based on Bayesian…

Optimization and Control · Mathematics 2023-06-29 Pierre-Cyril Aubin-Frankowski , Alain Bensoussan , S. Joe Qin

This work introduces an ensemble parameter estimation framework that enables the Lumped Parameter Linear Superposition (LPLSP) method to generate reduced order thermal models from a single transient dataset. Unlike earlier implementations…

Numerical Analysis · Mathematics 2026-05-26 Neelakantan Padmanabhan

This paper presents a novel parameter calibration approach for power system stability models using automatic data generation and advanced deep learning technology. A PMU-measurement-based event playback approach is used to identify…

Signal Processing · Electrical Eng. & Systems 2019-05-09 Renke Huang , Rui Fan , Tianzhixi Yin , Shaobu Wang , Zhenyu Tan

In this paper, we analyze the robustness of the PSO-based approach to parameter estimation of robot dynamics presented in Part One. We have made attempts to make the PSO method more robust by experimenting with potential cost functions. The…

Robotics · Computer Science 2012-11-07 Hossein Jahandideh , Mehrzad Namvar

Sparse adaptive filtering has gained much attention due to its wide applicability in the field of signal processing. Among the main algorithm families, sparse norm constraint adaptive filters develop rapidly in recent years. However, when…

Systems and Control · Computer Science 2015-09-29 Yong Feng , Fei Chen , Rui Zeng , Jiasong Wu , Huazhong Shu

We discuss the possibility of applying some standard statistical methods (the least square method, the maximum likelihood method, the method of statistical moments for estimation of parameters) to deterministically chaotic low-dimensional…

Data Analysis, Statistics and Probability · Physics 2009-11-10 V. F. Pisarenko , D. Sornette

This paper presents a linear least squares method for fiber-longitudinal power profile estimation (PPE), which estimates an optical signal power distribution throughout a fiber-optic link at a coherent receiver. The method finds the global…

Signal Processing · Electrical Eng. & Systems 2023-11-10 Takeo Sasai , Minami Takahashi , Masanori Nakamura , Etsushi Yamazaki , Yoshiaki Kisaka

This paper proposes a novel purely measurement-based method for estimating dynamic load parameters in near real-time when stochastic load fluctuations are present. By leveraging on the regression theorem for the Ornstein-Uhlenbeck process,…

Systems and Control · Electrical Eng. & Systems 2020-02-20 Georgia Pierrou , Xiaozhe Wang

Compressed sensing is a signal processing technique in which data is acquired directly in a compressed form. There are two modeling approaches that can be considered: the worst-case (Hamming) approach and a statistical mechanism, in which…

Information Theory · Computer Science 2016-01-20 Wasim Huleihel , Neri Merhav

The aim of this paper is to propose a least mean squares (LMS) strategy for adaptive estimation of signals defined over graphs. Assuming the graph signal to be band-limited, over a known bandwidth, the method enables reconstruction, with…

Machine Learning · Computer Science 2016-11-17 Paolo Di Lorenzo , Sergio Barbarossa , Paolo Banelli , Stefania Sardellitti

This note studies a method for the efficient estimation of a finite number of unknown parameters from linear equations, which are perturbed by Gaussian noise. In case the unknown parameters have only few nonzero entries, the proposed…

Systems and Control · Computer Science 2014-05-27 Liang Dai , Kristiaan Pelckmans

The virtual synchronous generator technology analogs the characteristics of the synchronous generator via the controller design. It improved the stability of the grid systems which include the new energy. At the same time, according to the…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Hai-Peng Ren , Qi Chen , Liang-Liang Zhang , Jie Li

The article deals with the problem of synthesis of an adaptive observer of state variables of a linear time-varying SISO dynamic system. It is assumed that the control signal and the output variable are measurable. It is assumed that the…

Dynamical Systems · Mathematics 2022-03-30 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Olga Slita , Olga Kozachek

In this paper, the parameter estimation problem for a multi-timescale adaptive threshold (MAT) neuronal model is investigated. By manipulating the system dynamics, which comprise of a non-resetting leaky integrator coupled with an adaptive…

Neurons and Cognition · Quantitative Biology 2018-03-13 Amirhossein Jabalameli , Aman Behal

Accurate identification of lithium-ion battery parameters is essential for estimating battery states and managing performance. However, the variation of battery parameters over the state of charge (SOC) and the nonlinear dependence of the…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Yang Wang , Riccardo M. G. Ferrari

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

Computation · Statistics 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

Dynamic spectrum access under channel uncertainties is considered. With the goal of maximizing the secondary user (SU) throughput subject to constraints on the primary user (PU) outage probability we formulate a joint problem of spectrum…

Information Theory · Computer Science 2014-01-24 Yasin Yilmaz , Ziyu Guo , Xiaodong Wang

Minimum mean square error (MMSE) estimation of block sparse signals from noisy linear measurements is considered. Unlike in the standard compressive sensing setup where the non-zero entries of the signal are independently and uniformly…

Information Theory · Computer Science 2012-04-26 Mikko Vehkaperä , Saikat Chatterjee , Mikael Skoglund

This paper investigates the design of a robust output-feedback linear parameter-varying (LPV) gain-scheduled controller for the speed regulation of a surface permanent magnet synchronous motor (SPMSM). Motor dynamics is defined in the…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Shahin Tasoujian , Jaecheol Lee , Karolos Grigoriadis , Matthew Franchek