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Standard decoding approaches for conditional text generation tasks typically search for an output hypothesis with high model probability, but this may not yield the best hypothesis according to human judgments of quality. Reranking to…

计算与语言 · 计算机科学 2023-06-02 Prasann Singhal , Jiacheng Xu , Xi Ye , Greg Durrett

Large-scale optimization problems arising from the discretization of problems involving PDEs sometimes admit solutions that can be well approximated by low-rank matrices. In this paper, we will exploit this low-rank approximation property…

数值分析 · 数学 2024-05-01 Marco Sutti , Bart Vandereycken

New-generation wireless communication systems will employ large-scale antenna arrays to satisfy the increasing capacity demand. This massive scenario brings new challenges to the channel equalization problem due to the increased signal…

信号处理 · 电气工程与系统科学 2019-12-19 Lucas N. Ribeiro , André L. F. de Almeida , João C. M. Mota

Iterative differential approximation methods that rely upon backpropagation have enabled the optimization of neural networks; however, at present, they remain computationally expensive, especially when training models at scale. In this…

机器学习 · 计算机科学 2023-11-14 Jake Ryland Williams , Haoran Zhao

Extremely large-scale antenna arrays (ELAAs) enable high spatial resolution and multiplexing, especially for user equipments (UEs) in the radiative near-field. To reduce hardware cost, modular ELAA architectures with distributed baseband…

信号处理 · 电气工程与系统科学 2025-09-23 Özlem Tuğfe Demir , Emil Björnson

In this work, we propose a new randomized algorithm for computing a low-rank approximation to a given matrix. Taking an approach different from existing literature, our method first involves a specific biased sampling, with an element being…

数据结构与算法 · 计算机科学 2014-10-16 Srinadh Bhojanapalli , Prateek Jain , Sujay Sanghavi

We derive a linearized rotating shallow water system modeling tides, which can be discretized by mixed finite elements. Unlike previous models, this model allows for multiple layers stratified by density. Like the single-layer…

数值分析 · 数学 2022-07-06 Colin J. Cotter , Robert C. Kirby , Hunter Morris

This paper proposes two low-complexity iterative algorithms to compute the capacity of a single-user multiple-input multiple-output channel with per-antenna power constraint. The first method results from manipulating the optimality…

信息论 · 计算机科学 2017-05-18 Thuy M. Pham , Ronan Farrell , Le-Nam Tran

In this paper, we investigate the design of linear precoders for multiple-input multiple-output (MIMO) multiple access channels (MAC). We assume that statistical channel state information (CSI) is available at the transmitters and consider…

信息论 · 计算机科学 2014-01-22 Yongpeng Wu , Chao-Kai Wen , Chengshan Xiao , Xiqi Gao , Robert Schober

A new preconditioner is developed for high order finite element approximation of linear elastic problems on triangular meshes in two dimensions. The new preconditioner results in a condition number that is bounded independently of the…

数值分析 · 数学 2023-02-10 Mark Ainsworth , Charles Parker

Photoacoustic imaging (PAI) suffers from inherent limitations that can degrade the quality of reconstructed results, such as noise, artifacts and incomplete data acquisition caused by sparse sampling or partial array detection. In this…

光学 · 物理学 2025-01-07 Yu Zhang , Shuang Li , Yibing Wang , Yu Sun , Wenyi Xiang

We describe an iterative method to optimize the multi-scale entanglement renormalization ansatz (MERA) for the low-energy subspace of local Hamiltonians on a D-dimensional lattice. For translation invariant systems the cost of this…

强关联电子 · 物理学 2015-05-13 G. Evenbly , G. Vidal

Linear discrimination, from the point of view of numerical linear algebra, can be treated as solving an ill-posed system of linear equations. In order to generate a solution that is robust in the presence of noise, these problems require…

基因组学 · 定量生物学 2007-05-23 Erik Andries , Thomas Hagstrom , Susan R. Atlas , Cheryl Willman

To glean the benefits offered by massive multi-input multi-output (MIMO) systems, channel state information must be accurately acquired. Despite the high accuracy, the computational complexity of classical linear minimum mean squared error…

信息论 · 计算机科学 2024-04-23 Bin Li , Ziping Wei , Shaoshi Yang , Yang Zhang , Jun Zhang , Chenglin Zhao , Sheng Chen

Composite optimization problems involve minimizing the composition of a smooth map with a convex function. Such objectives arise in numerous data science and signal processing applications, including phase retrieval, blind deconvolution,…

最优化与控制 · 数学 2025-10-06 Mateo Díaz , Liwei Jiang , Abdel Ghani Labassi

Multibeam satellite systems have been employed to provide interactive broadband services to geographical areas under-served by terrestrial infrastructure. In this context, this paper studies joint multiuser linear precoding design in the…

信息论 · 计算机科学 2015-03-19 Gan Zheng , Symeon Chatzinotas , Bjorn Ottersten

Two approximation algorithms are proposed for $\ell_1$-regularized sparse rank-1 approximation to higher-order tensors. The algorithms are based on multilinear relaxation and sparsification, which are easily implemented and well scalable.…

最优化与控制 · 数学 2022-07-18 Xianpeng Mao , Yuning Yang

Satellite communications are crucial for the evolution beyond fifth-generation networks. However, the dynamic nature of satellite channels and their inherent impairments present significant challenges. In this paper, a novel…

信号处理 · 电气工程与系统科学 2025-06-23 Yang Luo , Arunprakash Jayaprakash , Gaojie Chen , Chong Huang , Qu Luo , Pei Xiao

Nowadays, the availability of large-scale data in disparate application domains urges the deployment of sophisticated tools for extracting valuable knowledge out of this huge bulk of information. In that vein, low-rank representations…

机器学习 · 计算机科学 2017-10-06 Paris V. Giampouras , Athanasios A. Rontogiannis , Konstantinos D. Koutroumbas

The low-rank matrix recovery (LMR) is a rank minimization problem subject to linear equality constraints, and it arises in many fields such as signal and image processing, statistics, computer vision, system identification and control. This…

信息论 · 计算机科学 2011-06-17 Lingchen Kong , Levent Tunçel , Naihua Xiu