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This work proposes a method for sparse polynomial chaos (PC) approximation of high-dimensional stochastic functions based on non-adapted random sampling. We modify the standard l1 -minimization algorithm, originally proposed in the context…

Numerical Analysis · Mathematics 2015-06-16 Ji Peng , Jerrad Hampton , Alireza Doostan

Coded modulation with probabilistic amplitude shaping (PAS) is considered for intensity modulation/direct detection channels with a transmitter peak-power constraint. PAS is used to map bits to a uniform PAM-6 distribution and outperforms…

Information Theory · Computer Science 2021-04-30 Tobias Prinz , Thomas Wiegart , Daniel Plabst , Stefano Calabrò , Georg Böcherer , Nebojsa Stojanovic , Talha Rahman

We solve the analysis sparse coding problem considering a combination of convex and non-convex sparsity promoting penalties. The multi-penalty formulation results in an iterative algorithm involving proximal-averaging. We then unfold the…

Probabilistic storage and retrieval (PSR) of unitary quantum dynamics is possible with exponentially small failure probability with respect to the number of systems used as a quantum memory [PRL 122, 170502 (2019)]. Here we study…

Quantum Physics · Physics 2020-09-23 Michal Sedlák , Mário Ziman

Maximum likelihood estimation of mixture proportions has a long history, and continues to play an important role in modern statistics, including in development of nonparametric empirical Bayes methods. Maximum likelihood of mixture…

Computation · Statistics 2020-12-10 Youngseok Kim , Peter Carbonetto , Matthew Stephens , Mihai Anitescu

Simultaneous perturbation stochastic approximation (SPSA) is widely used in stochastic optimization due to its high efficiency, asymptotic stability, and reduced number of required loss function measurements. However, the standard SPSA…

Optimization and Control · Mathematics 2023-02-07 Zhichao Jia , Ziyi Wei , James C. Spall

Hardware distortions (HWD) render drastic effects on the performance of communication systems. They are recently proven to bear asymmetric signatures; and hence can be efficiently mitigated using improper Gaussian signaling (IGS), thanks to…

Signal Processing · Electrical Eng. & Systems 2020-09-14 Sidrah Javed , Ahmed Elzanaty , Osama Amin , Basem Shihada , Mohamed-Slim Alouini

In this paper we propose a new iterative algorithm to solve the fair PCA (FPCA) problem. We start with the max-min fair PCA formulation originally proposed in [1] and derive a simple and efficient iterative algorithm which is based on the…

Machine Learning · Statistics 2023-05-11 Prabhu Babu , Petre Stoica

This paper proposes new scheme for efficient rate allocation in conjunction with reducing peak-to-average power ratio (PAPR) in orthogonal frequency-division multiplexing (OFDM) systems. Modification of the set partitioning in hierarchical…

Networking and Internet Architecture · Computer Science 2010-06-07 Usama S. Mohammed , H. A. Hamada

One of the major drawbacks of orthogonal frequency division multiplexing (OFDM) signals is the high peak to average power ratio (PAPR) of the transmitted signal. Many PAPR reduction techniques have been proposed in the literature, among…

Signal Processing · Electrical Eng. & Systems 2020-03-16 Yajun Wang , Wen Chen , Chintha Tellambura

We present a quantum eigenstate filtering algorithm based on quantum signal processing (QSP) and minimax polynomials. The algorithm allows us to efficiently prepare a target eigenstate of a given Hamiltonian, if we have access to an initial…

Quantum Physics · Physics 2020-11-12 Lin Lin , Yu Tong

This letter proposes a novel sparsity-aware adaptive filtering scheme and algorithms based on an alternating optimization strategy with shrinkage. The proposed scheme employs a two-stage structure that consists of an alternating…

Systems and Control · Computer Science 2023-07-19 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

Fourier ptychographic microscopy (FPM) is a novel computational coherent imaging technique for high space-bandwidth product imaging. Mathematically, Fourier ptychographic (FP) reconstruction can be implemented as a phase retrieval…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Liheng Bian , Jinli Suo , Jaebum Chung , Xiaoze Ou , Changhuei Yang , Feng Chen , Qionghai Dai

A class of circular 64-QAM that combines 'geometric' and 'probabilistic' shaping aspects is presented. It is compared to square 64-QAM in back-to-back, single-channel, and WDM transmission experiments. First, for the linear AWGN channel…

Reconstructing a signal from squared linear (rank-one quadratic) measurements is a challenging problem with important applications in optics and imaging, where it is known as phase retrieval. This paper proposes two new phase retrieval…

Information Theory · Computer Science 2016-09-21 Cheng Qian , Nicholas D. Sidiropoulos , Kejun Huang , Lei Huang , H. C. So

The combining of a General-Purpose Particle Swarm Optimizer (GP-PSO) with Sequential Quadratic Programming (SQP) algorithm for constrained optimization problems has been shown to be highly beneficial to the refinement, and in some cases,…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Carwyn Pelley , Mauro S. Innocente , Johann Sienz

For a precise determination of the radio frequency (RF) properties of superconducting materials, a calorimetric measurement is carried out with the aid of a so-called Quadrupole Resonator (QPR). This procedure is affected by certain…

Accelerator Physics · Physics 2020-04-21 Piotr Putek , Shahnam Gorgi Zadeh , Marc Wenskat , Ursula van Rienen

This paper seeks an efficient algorithm for stochastic precoding to maximize the long-term average weighted sum rates throughout a multiple-input multiple-output (MIMO) network. Unlike many existing works that assume a particular…

Information Theory · Computer Science 2026-03-10 Wenyu Wang , Kaiming Shen

We establish the average-case hardness of the algorithmic problem of exact computation of the partition function associated with the Sherrington-Kirkpatrick model of spin glasses with Gaussian couplings and random external field. In…

Probability · Mathematics 2023-09-19 David Gamarnik , Eren Kizildag

We develop qubit Hamiltonian single parameter estimation techniques using a Bayesian approach. The algorithms considered are restricted to projective measurements in a fixed basis, and are derived under the assumption that the qubit…

Quantum Physics · Physics 2012-10-17 Alexandr Sergeevich , Stephen D. Bartlett
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