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We consider decentralized optimization problems in which a number of agents collaborate to minimize the average of their local functions by exchanging over an underlying communication graph. Specifically, we place ourselves in an…

最优化与控制 · 数学 2023-03-20 Yu-Guan Hsieh , Yassine Laguel , Franck Iutzeler , Jérôme Malick

Linear prediction (LP) is an ubiquitous analysis method in speech processing. Various studies have focused on sparse LP algorithms by introducing sparsity constraints into the LP framework. Sparse LP has been shown to be effective in…

音频与语音处理 · 电气工程与系统科学 2020-06-09 Thomas Drugman

Approximate message passing is an iterative algorithm for compressed sensing and related applications. A solid theory about the performance and convergence of the algorithm exists for measurement matrices having iid entries of zero mean.…

信息论 · 计算机科学 2014-10-03 Francesco Caltagirone , Florent Krzakala , Lenka Zdeborová

We present a layered hybrid-system approach to quantum communication that involves the distribution of a topological cluster state throughout a quantum network. Photon loss and other errors are suppressed by optical multiplexing and…

量子物理 · 物理学 2013-06-03 Ashley M. Stephens , Jingjing Huang , Kae Nemoto , William J. Munro

This short paper presents a work on the design of low noise microwave amplifiers using particle swarm optimization (PSO) technique. Particle Swarm Optimization is used as a method that is applied to a single stage amplifier circuit to meet…

神经与进化计算 · 计算机科学 2012-08-31 Sadik Ulker

In this paper, the problem of joint oscillator phase noise (PHN) estimation and data detection for multi-input multi-output (MIMO) systems using bit-interleaved coded modulation (BICM) is analyzed. A new MIMO receiver that iterates between…

信息论 · 计算机科学 2013-08-20 Arif O. Isikman , Hani Mehrpouyan , Ali A. Nasir , Alexander G. Amat , Rodney. A. Kennedy

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

机器学习 · 统计学 2015-08-24 Reinhard Heckel , Helmut Bölcskei

We propose a simple and efficient time-series clustering framework particularly suited for low Signal-to-Noise Ratio (SNR), by simultaneous smoothing and dimensionality reduction aimed at preserving clustering information. We extend the…

机器学习 · 计算机科学 2015-10-20 Tom Hope , Avishai Wagner , Or Zuk

Spike sorting is a class of algorithms used in neuroscience to attribute the time occurences of particular electric signals, called action potential or spike, to neurons. We rephrase this problem as a particular optimization problem : Lasso…

统计理论 · 数学 2022-04-12 Laurent Dragoni , Rémi Flamary , Karim Lounici , Patricia Reynaud-Bouret

In this paper, we consider the mixture of sparse linear regressions model. Let ${\beta}^{(1)},\ldots,{\beta}^{(L)}\in\mathbb{C}^n$ be $ L $ unknown sparse parameter vectors with a total of $ K $ non-zero coefficients. Noisy linear…

信息论 · 计算机科学 2018-08-03 Dong Yin , Ramtin Pedarsani , Yudong Chen , Kannan Ramchandran

Sparse coding algorithms are about finding a linear basis in which signals can be represented by a small number of active (non-zero) coefficients. Such coding has many applications in science and engineering and is believed to play an…

神经与进化计算 · 计算机科学 2016-08-14 András Lőrincz , Zsolt Palotai , Gábor Szirtes

We present a novel compressed sensing recovery algorithm - termed Bayesian Optimal Structured Signal Approximate Message Passing (BOSSAMP) - that jointly exploits the prior distribution and the structured sparsity of a signal that shall be…

信息论 · 计算机科学 2015-08-06 Martin Mayer , Norbert Goertz

We introduce a novel stochastic version of the non-reversible, rejection-free Bouncy Particle Sampler (BPS), a Markov process whose sample trajectories are piecewise linear. The algorithm is based on simulating first arrival times in a…

统计计算 · 统计学 2017-06-15 Ari Pakman , Dar Gilboa , David Carlson , Liam Paninski

In compressed sensing one measures sparse signals directly in a compressed form via a linear transform and then reconstructs the original signal. However, it is often the case that the linear transform itself is known only approximately, a…

信息论 · 计算机科学 2013-11-13 Florent Krzakala , Marc Mézard , Lenka Zdeborová

Isomorphic (sparse) collective communication is a form of collective communication in which all involved processes communicate in small, identically structured neighborhoods of other processes. Isomorphic neighborhoods are defined via an…

分布式、并行与集群计算 · 计算机科学 2016-06-27 Jesper Larsson Träff , Alexandra Carpen-Amarie , Sascha Hunold , Antoine Rougier

Despite a variety of available techniques the issue of the proper regularization parameter choice for inverse problems still remains one of the biggest challenges. The main difficulty lies in constructing a rule, allowing to compute the…

数值分析 · 数学 2017-10-13 Ernesto De Vito , Massimo Fornasier , Valeriya Naumova

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

信息论 · 计算机科学 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

Noise is an important factor that influences the reliability of information acquisition, transmission, processing, and storage. In order to suppress the inevitable noise effects, a fault-tolerant information processing approach via quantum…

量子物理 · 物理学 2026-03-27 Qi Song , Hongjing Li , Chengxi Yu , Jingzheng Huang , Ding Wang , Peng Huang , Guihua Zeng

The extension of persistent homology to multi-parameter setups is an algorithmic challenge. Since most computation tasks scale badly with the size of the input complex, an important pre-processing step consists of simplifying the input…

代数拓扑 · 数学 2019-03-19 Ulderico Fugacci , Michael Kerber

Matching pursuit algorithms are an important class of algorithms in signal processing and machine learning. We present a blended matching pursuit algorithm, combining coordinate descent-like steps with stronger gradient descent steps, for…

最优化与控制 · 数学 2019-11-21 Cyrille W. Combettes , Sebastian Pokutta