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Learned sparse retrieval (LSR) is a family of first-stage retrieval methods that are trained to generate sparse lexical representations of queries and documents for use with an inverted index. Many LSR methods have been recently introduced,…

信息检索 · 计算机科学 2023-03-28 Thong Nguyen , Sean MacAvaney , Andrew Yates

We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is applied to detect the location of the inhomogeneity in the…

数值分析 · 数学 2022-01-04 Kazufumi Ito , Ying Liang , Jun Zou

A recursive least squares algorithm with variable rate forgetting (VRF) is derived by minimizing a quadratic cost function.Under persistent excitation and boundedness of the forgetting factor, the minimizer given by VRF is shown to converge…

最优化与控制 · 数学 2020-03-06 Adam L. Bruce , Ankit Goel , Dennis S. Bernstein

The popular Alternating Least Squares (ALS) algorithm for tensor decomposition is efficient and easy to implement, but often converges to poor local optima---particularly when the weights of the factors are non-uniform. We propose a…

机器学习 · 计算机科学 2017-09-26 Vatsal Sharan , Gregory Valiant

The overfitting is one of the cursing subjects in the deep learning field. To solve this challenge, many approaches were proposed to regularize the learning models. They add some hyper-parameters to the model to extend the generalization;…

机器学习 · 计算机科学 2020-05-06 Mohammad Mahdi Bejani , Mehdi Ghatee

We propose a low-complexity variable forgetting factor (VFF) mechanism for recursive least square (RLS) algorithms in interference suppression applications. The proposed VFF mechanism employs an updated component related to the time average…

信息论 · 计算机科学 2013-02-26 Yunlong Cai , Rodrigo C. de Lamare

In this paper, we propose a novel algorithm for analysis-based sparsity reconstruction. It can solve the generalized problem by structured sparsity regularization with an orthogonal basis and total variation regularization. The proposed…

计算机视觉与模式识别 · 计算机科学 2015-04-29 Chen Chen , Junzhou Huang , Lei He , Hongsheng Li

Alternating minimization, or Fienup methods, have a long history in phase retrieval. We provide new insights related to the empirical and theoretical analysis of these algorithms when used with Fourier measurements and combined with convex…

信息论 · 计算机科学 2018-02-14 Edouard Pauwels , Amir Beck , Yonina C. Eldar , Shoham Sabach

Many problems in data science can be treated as estimating a low-rank matrix from highly incomplete, sometimes even corrupted, observations. One popular approach is to resort to matrix factorization, where the low-rank matrix factors are…

机器学习 · 计算机科学 2021-04-23 Tian Tong , Cong Ma , Yuejie Chi

A novel sparse array synthesis method for non-uniform planar arrays is proposed, which belongs to compressive sensing (CS)-based systhesis. Particularly, we propose an off-grid refinement technique to simultaneously optimize the antenna…

信号处理 · 电气工程与系统科学 2022-07-29 Songjie Yang , Baojuan Liu , Zhiqin Hong , Zhongpei Zhang

This paper extends recursive least squares (RLS) to include time-varying regularization. This extension provides flexibility for updating the least squares regularization term in real time. Existing results with constant regularization…

信号处理 · 电气工程与系统科学 2025-01-09 Brian Lai , Dimitra Panagou , Dennis S. Bernstein

The design of phased arrays able to generate arbitrary-shaped beams through a sub-arrayed architecture is addressed here. The synthesis problem is cast in the excitation matching framework, so as to yield clustered phased arrays providing…

信号处理 · 电气工程与系统科学 2022-01-02 P. Rocca , L. Poli , A. Polo , A. Massa

It was recently observed that chiral two-body interactions can be efficiently represented using matrix factorization techniques such as the singular value decomposition. However, the exploitation of these low-rank structures in a few- or…

核理论 · 物理学 2022-08-30 A. Tichai , P. Arthuis , K. Hebeler , M. Heinz , J. Hoppe , A. Schwenk , L. Zurek

This paper presents novel adaptive space-time reduced-rank interference suppression least squares algorithms based on joint iterative optimization of parameter vectors. The proposed space-time reduced-rank scheme consists of a joint…

信息论 · 计算机科学 2013-01-15 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

In this paper we investigate the problem of recovering the source term in an elliptic system from a measurement of the state on a part of the boundary. For the particular interest in reconstructing probably discontinuous sources, we use the…

数值分析 · 数学 2020-01-08 Michael Hinze , Tran Nhan Tam Quyen

This paper introduces an algorithm for the nonnegative matrix factorization-and-completion problem, which aims to find nonnegative low-rank matrices X and Y so that the product XY approximates a nonnegative data matrix M whose elements are…

信息论 · 计算机科学 2015-11-23 Yangyang Xu , Wotao Yin , Zaiwen Wen , Yin Zhang

Matrix factorization (MF) is a widely used collaborative filtering (CF) algorithm for recommendation systems (RSs), due to its high prediction accuracy, great flexibility and high efficiency in big data processing. However, with the…

信息检索 · 计算机科学 2026-03-26 Yining Wu , Shengyu Duan , Gaole Sai , Chenhong Cao , Guobing Zou

The randomized row method is a popular representative of the iterative algorithm because of its efficiency in solving the overdetermined and consistent systems of linear equations. In this paper, we present an extended randomized multiple…

数值分析 · 数学 2024-11-06 Nian-Ci Wu , Chengzhi Liu , Yatian Wang , Qian Zuo

A versatile approach for the synthesis of phased array (PA) antennas able to fit user-defined power pattern masks, while fulfilling additional geometrical and/or electrical constraints on the geometry of the array aperture and/or on the…

系统与控制 · 电气工程与系统科学 2025-09-22 Lorenzo Poli , Paolo Rocca , Arianna Benoni , Andrea Massa

Low-rank matrix completion has achieved great success in many real-world data applications. A matrix factorization model that learns latent features is usually employed and, to improve prediction performance, the similarities between latent…

机器学习 · 统计学 2020-01-28 Kaiyi Ji , Jian Tan , Jinfeng Xu , Yuejie Chi