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This paper considers the problem of robustly estimating a structured covariance matrix with an elliptical underlying distribution with known mean. In applications where the covariance matrix naturally possesses a certain structure, taking…

应用统计 · 统计学 2016-06-29 Ying Sun , Prabhu Babu , Daniel P. Palomar

In high-dimensional statistics, variable selection recovers the latent sparse patterns from all possible covariate combinations. This paper proposes a novel optimization method to solve the exact L0-regularized regression problem, which is…

统计方法学 · 统计学 2022-06-02 Mingzhang Yin , Nhat Ho , Bowei Yan , Xiaoning Qian , Mingyuan Zhou

Numerical modeling of different structural materials that have highly nonlinear behaviors has always been a challenging problem in engineering disciplines. Experimental data is commonly used to characterize this behavior. This study aims to…

机器学习 · 计算机科学 2020-07-28 Elif Ecem Bas , Denis Aslangil , Mohamed A. Moustafa

This paper investigates the approximation of functions with finite smoothness defined on domains with a Cartesian product structure. The recently proposed tensor product multilevel method (TPML) combines Smolyak's sparse grid method with a…

数值分析 · 数学 2025-02-07 Markus Büttner , Rüdiger Kempf , Holger Wendland

This paper revisits the CHAMPAGNE algorithm within the Sparse Bayesian Learning (SBL) framework and establishes its connection to reweighted sparse coding. We demonstrate that the SBL objective can be reformulated as a reweighted…

信号处理 · 电气工程与系统科学 2025-06-26 Dylan Sechet , Matthieu Kowalski , Samy Mokhtari , Bruno Torrésani

Unlike the ordinary least-squares (OLS) estimator for the linear model, a ridge regression linear model provides coefficient estimates via shrinkage, usually with improved mean-square and prediction error. This is true especially when the…

统计方法学 · 统计学 2015-06-25 George Karabatsos

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

信号处理 · 电气工程与系统科学 2021-10-15 Michael Koller , Wolfgang Utschick

Supervised topic models simultaneously model the latent topic structure of large collections of documents and a response variable associated with each document. Existing inference methods are based on variational approximation or Monte…

机器学习 · 计算机科学 2016-02-22 Yong Ren , Yining Wang , Jun Zhu

We develop methods to efficiently reconstruct the topology and line parameters of a power grid from the measurement of nodal variables. We propose two compressed sensing algorithms that minimize the amount of necessary measurement resources…

系统与控制 · 计算机科学 2019-07-10 Farnaz Basiri , Jose Casadiego , Marc Timme , Dirk Witthaut

As the maximum likelihood method is the most commonly used method for parameters estimation being unbiased, consistent, efficient, and asymptotically normal, MLE is used to fit the new distribution (MBUW). But in small to moderate sample…

统计方法学 · 统计学 2025-02-17 Iman Mohammed Attia

Since sparse neural networks usually contain many zero weights, these unnecessary network connections can potentially be eliminated without degrading network performance. Therefore, well-designed sparse neural networks have the potential to…

计算机视觉与模式识别 · 计算机科学 2022-01-14 Zhimin Tang , Linkai Luo , Bike Xie , Yiyu Zhu , Rujie Zhao , Lvqing Bi , Chao Lu

We focus on developing an effective Direction Of Arrival (DOA) estimation method for wideband sources based on the gridless sparse concept. Previous coherent methods have been designed by dividing wideband frequencies into a few subbands…

信号处理 · 电气工程与系统科学 2021-03-05 Milad Javadzadeh Jirhandeh , Mohammad Hossein Kahae

Sparse learning is an important topic in many areas such as machine learning, statistical estimation, signal processing, etc. Recently, there emerges a growing interest on structured sparse learning. In this paper we focus on the…

信息论 · 计算机科学 2015-03-10 Shubao Zhang , Hui Qian , Zhihua Zhang

Iteratively reweighted least square (IRLS) is a popular approach to solve sparsity-enforcing regression problems in machine learning. State of the art approaches are more efficient but typically rely on specific coordinate pruning schemes.…

机器学习 · 统计学 2022-10-03 Clarice Poon , Gabriel Peyré

We study the problem of recovering the underlining sparse signals from clean or noisy phaseless measurements. Due to the sparse prior of signals, we adopt an L0regularized variational model to ensure only a small number of nonzero elements…

最优化与控制 · 数学 2016-12-09 Yuping Duan , Chunlin Wu , Zhi-Feng Pang , Huibin Chang

We propose a likelihood ratio based inferential framework for high dimensional semiparametric generalized linear models. This framework addresses a variety of challenging problems in high dimensional data analysis, including incomplete…

机器学习 · 统计学 2015-11-24 Yang Ning , Tianqi Zhao , Han Liu

Deep metric learning (DML) is a popular approach for images retrieval, solving verification (same or not) problems and addressing open set classification. Arguably, the most common DML approach is with triplet loss, despite significant…

机器学习 · 计算机科学 2019-12-02 Istvan Fehervari , Avinash Ravichandran , Srikar Appalaraju

We introduce a fast model based deep learning approach for calibrationless parallel MRI reconstruction. The proposed scheme is a non-linear generalization of structured low rank (SLR) methods that self learn linear annihilation filters from…

机器学习 · 计算机科学 2020-01-22 Aniket Pramanik , Hemant Aggarwal , Mathews Jacob

We consider covariance estimation under Toeplitz structure. Numerous sophisticated optimization methods have been developed to maximize the Gaussian log-likelihood under Toeplitz constraints. In contrast, recent advances in deep learning…

机器学习 · 计算机科学 2025-11-04 Daniel Busbib , Ami Wiesel

In graph signal processing, learning the weighted connections between nodes from a set of sample signals is a fundamental task when the underlying relationships are not known a priori. This task is typically addressed by finding a graph…

机器学习 · 计算机科学 2025-06-30 Benjamin T. Brown , Haoxiang Zhang , Daniel L. Lau , Gonzalo R. Arce