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Efficient estimation methods for simultaneous autoregressive (SAR) models with missing data in the response variable have been well-explored in the literature. A common practice is to introduce measurement error into SAR models to separate…

统计方法学 · 统计学 2024-10-10 Anjana Wijayawardhana , Thomas Suesse , David Gunawan

We consider the problem of estimating sparse communication channels in the MIMO context. In small to medium bandwidth communications, as in the current standards for OFDM and CDMA communication systems (with bandwidth up to 20 MHz), such…

网络与互联网体系结构 · 计算机科学 2016-11-17 Yann Barbotin , Ali Hormati , Sundeep Rangan , Martin Vetterli

Nuclear norm minimization (NNM) has recently gained significant attention for its use in rank minimization problems. Similar to compressed sensing, using null space characterizations, recovery thresholds for NNM have been studied in…

最优化与控制 · 数学 2010-11-30 Samet Oymak , Babak Hassibi

Autoregressive models are a class of time series models that are important in both applied and theoretical statistics. Typically, inferential devices such as confidence sets and hypothesis tests for time series models require nuanced…

统计理论 · 数学 2022-01-19 Hien Duy Nguyen

The change-plane Cox model is a popular tool for the subgroup analysis of survival data. Despite the rich literature on this model, there has been limited investigation into the asymptotic properties of the estimators of the…

统计理论 · 数学 2023-02-14 Shota Takeishi

Approximate message passing algorithm enjoyed considerable attention in the last decade. In this paper we introduce a variant of the AMP algorithm that takes into account glassy nature of the system under consideration. We coin this…

无序系统与神经网络 · 物理学 2019-02-07 Fabrizio Antenucci , Florent Krzakala , Pierfrancesco Urbani , Lenka Zdeborová

Approximate message passing (AMP) type algorithms have been widely used in the signal reconstruction of certain large random linear systems. A key feature of the AMP-type algorithms is that their dynamics can be correctly described by state…

信息论 · 计算机科学 2022-06-24 Lei Liu , Shunqi Huang , Brian M. Kurkoski

This paper presents an adaptive sampling algorithm tailored for the optimization of parametrized dynamical systems using projection-based model order reduction. Unlike classical sampling strategies, this framework does not aim for a small…

计算工程、金融与科学 · 计算机科学 2026-02-27 Marcel Warzecha , Sebastian Resch-Schopper , Gerhard Müller

In this paper, we study the missing sample recovery problem using methods based on sparse approximation. In this regard, we investigate the algorithms used for solving the inverse problem associated with the restoration of missed samples of…

机器学习 · 统计学 2017-06-29 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

A compressed sensing method consists of a rectangular measurement matrix, $M \in \mathbbm{R}^{m \times N}$ with $m \ll N$, together with an associated recovery algorithm, $\mathcal{A}: \mathbbm{R}^m \rightarrow \mathbbm{R}^N$. Compressed…

信息论 · 计算机科学 2013-02-26 M. A. Iwen

We consider a high-dimensional monotone single index model (hdSIM), which is a semiparametric extension of a high-dimensional generalize linear model (hdGLM), where the link function is unknown, but constrained with monotone and…

统计理论 · 数学 2021-05-18 Ran Dai , Hyebin Song , Rina Foygel Barber , Garvesh Raskutti

In this paper, we derive the asymptotic Cram\'er-Rao lower bound for the continuous-time output error model structure and provide an analysis of the statistical efficiency of the Simplified Refined Instrumental Variable method for…

系统与控制 · 电气工程与系统科学 2020-07-20 Siqi Pan , James S. Welsh , Rodrigo A. González , Cristian R. Rojas

This paper presents a unified mathematical paradigm, based on stochastic geometry, for downlink cellular networks with multiple-input-multiple-output (MIMO) base stations (BSs). The developed paradigm accounts for signal retransmission upon…

信息论 · 计算机科学 2016-04-12 Laila Hesham Afify , Hesham ElSawy , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

Sign-Perturbed Sums (SPS) is a system identification method that constructs confidence regions for the unknown system parameters. In this paper, we study SPS for ARX systems, and establish that the confidence regions are guaranteed to…

系统与控制 · 电气工程与系统科学 2024-02-20 Algo Carè , Erik Weyer , Balázs Cs. Csáji , Marco C. Campi

This paper develops a multi-port S-parameter framework for the analysis and optimization of stacked intelligent metasurfaces (SIMs) with unilateral active interconnections. By modeling each unit cell as a non-reciprocal two-port network,…

信号处理 · 电气工程与系统科学 2026-05-08 Andrea Abrardo , Giulio Bartoli , Alberto Toccafondi , Marco Di Renzo

The Metropolis-Hastings algorithm allows one to sample asymptotically from any probability distribution $\pi$. There has been recently much work devoted to the development of variants of the MH update which can handle scenarios where such…

统计计算 · 统计学 2018-03-28 Christophe Andrieu , Arnaud Doucet , Sinan Yıldırım , Nicolas Chopin

Nonlinear precoding and pulse shaping are jointly considered in multi-user massive multiple-input multiple-output (MIMO) systems with low-resolution D/A-converters (DACs) in terms of algorithmic approach as well as large system performance.…

信息论 · 计算机科学 2021-06-29 Amine Mezghani , Robert W. Heath

Positive semi-definite matrices commonly occur as normal matrices of least squares problems in statistics or as kernel matrices in machine learning and approximation theory. They are typically large and dense. Thus algorithms to solve…

数值分析 · 数学 2020-12-01 Markus Hegland , Frank deHoog

We study the sample complexity of the Sign-Perturbed Sums (SPS) method, which constructs exact, non-asymptotic confidence regions for the true system parameters under mild statistical assumptions, such as independent and symmetric noise…

机器学习 · 统计学 2024-09-04 Szabolcs Szentpéteri , Balázs Csanád Csáji

A family of low-complexity detection schemes based on channel matrix puncturing targeted for large multiple-input multiple-output (MIMO) systems is proposed. It is well-known that the computational cost of MIMO detection based on QR…

信息论 · 计算机科学 2017-12-07 H. Sarieddeen , M. M. Mansour , A. Chehab
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