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We propose using variational quantum algorithms (VQAs) to simulate established quantum algorithms under realistic noise conditions, aiming to surpass the fidelity of theoretical circuits in noisy environments. Focusing on the Quantum…

The procedure of Least Square-Errors curve fitting is extensively used in many computer applications for fitting a polynomial curve of a given degree to approximate a set of data. Although various methodologies exist to carry out curve…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-29 Poorna Banerjee Dasgupta

We propose a simple method to estimate the parameters of a continuously measured quantum system, by fitting correlation functions of the measured signal. We demonstrate the approach in simulation, both on toy examples and on a recent…

Quantum Physics · Physics 2024-10-17 Pierre Guilmin , Pierre Rouchon , Antoine Tilloy

Besides suppressing all undesired sound sources, an important objective of a binaural noise reduction algorithm for hearing devices is the preservation of the binaural cues, aiming at preserving the spatial perception of the acoustic scene.…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-22 N. Gößling , S. Doclo

Least squares regression is a ubiquitous tool for building emulators (a.k.a. surrogate models) of problems across science and engineering for purposes such as design space exploration and uncertainty quantification. When the regression data…

Numerical Analysis · Mathematics 2024-07-08 Nuojin Cheng , Osman Asif Malik , Yiming Xu , Stephen Becker , Alireza Doostan , Akil Narayan

Least squares estimation, a regression technique based on minimisation of residuals, has been invaluable in bringing the best fit solutions to parameters in science and engineering. However, in dynamic environments such as in Geomatics…

Computational Engineering, Finance, and Science · Computer Science 2018-04-17 C. P. E. Agbachi

Many multi-microphone speech enhancement algorithms require the relative transfer function (RTF) vector of the desired speech source, relating the acoustic transfer functions of all array microphones to a reference microphone. In this…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-22 N. Gößling , S. Doclo

Quantization methods have been introduced to perform large scale approximate nearest search tasks. Residual Vector Quantization (RVQ) is one of the effective quantization methods. RVQ uses a multi-stage codebook learning scheme to lower the…

Computer Vision and Pattern Recognition · Computer Science 2015-09-18 Shicong Liu , Hongtao Lu , Junru Shao

Vector quantization(VQ) is a hardware-friendly DNN compression method that can reduce the storage cost and weight-loading datawidth of hardware accelerators. However, conventional VQ techniques lead to significant accuracy loss because the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Shuaiting Li , Chengxuan Wang , Juncan Deng , Zeyu Wang , Zewen Ye , Zongsheng Wang , Haibin Shen , Kejie Huang

Given any domain $X\subseteq \mathbb{R}^d$ and a probability measure $\rho$ on $X$, we study the problem of approximating in $L^2(X,\rho)$ a given function $u:X\to\mathbb{R}$, using its noiseless pointwise evaluations at random samples. For…

Numerical Analysis · Mathematics 2019-07-11 Giovanni Migliorati

Using physical layer network coding, compute-and-forward is a promising relaying scheme that effectively exploits the interference between users and thus achieves high rates. In this paper, we consider the problem of finding the optimal…

Information Theory · Computer Science 2016-07-08 Baojian Zhou , Jinming Wen , Wai Ho Mow

In this study, we present a purely data-driven method that uses the Loewner framework (LF) along with nonlinear optimization techniques to infer quadratic with affine control dynamical systems that admit Volterra series (VS) representations…

Dynamical Systems · Mathematics 2024-04-16 D. S. Karachalios , I. V. Gosea , L. Gkimisis , A. C. Antoulas

Many modern search domains comprise high-dimensional vectors of floating point numbers derived from neural networks, in the form of embeddings. Typical embeddings range in size from hundreds to thousands of dimensions, making the size of…

Machine Learning · Computer Science 2025-06-03 Richard Connor , Alan Dearle , Ben Claydon

The computation of global radial basis function (RBF) approximations requires the solution of a linear system which, depending on the choice of RBF parameters, may be ill-conditioned. We study the stability and accuracy of approximation…

Numerical Analysis · Mathematics 2022-11-24 Ben Adcock , Daan Huybrechs , Cécile Piret

The paper presents algorithms to realize effectively and accurately the stepped-frequency waveform reflectometry (SFWR), i.e. the reflectometric technique based on the use of sinusoidal bursts. This technique is useful for monitoring the…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Nicola Giaquinto , Marco Scarpetta , Maurizio Spadavecchia

We propose Multivariate Quantile Function Forecaster (MQF$^2$), a global probabilistic forecasting method constructed using a multivariate quantile function and investigate its application to multi-horizon forecasting. Prior approaches are…

This paper gives a new solution to the output feedback H2 problem for quadratically invariant communication delay patterns. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized H2…

Systems and Control · Computer Science 2014-10-09 Andrew Lamperski , John C. Doyle

We study the phase retrieval problem, which solves quadratic system of equations, i.e., recovers a vector $\boldsymbol{x}\in \mathbb{R}^n$ from its magnitude measurements $y_i=|\langle \boldsymbol{a}_i, \boldsymbol{x}\rangle|, i=1,..., m$.…

Machine Learning · Statistics 2016-10-28 Huishuai Zhang , Yi Zhou , Yingbin Liang , Yuejie Chi

Variational inference is an approximation framework for Bayesian inference that seeks to improve quantified uncertainty in predictions by optimizing a simplified distribution over parameters to stand in for the full posterior. Capturing…

Machine Learning · Computer Science 2023-09-12 Jed A. Duersch

The paper presents a method which shows a significant improvement in discovering the path over the distance vector protocol. The proposed method is a multi-parameter QoS along with the fitness function which shows that it overcomes the…

Networking and Internet Architecture · Computer Science 2011-07-12 T. R. Gopalakrishnan Nair , Kavitha Sooda
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