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Benchmark problems play a central role in assessing the performance of numerical optimization algorithms. However, many existing constrained multiobjective optimization benchmark problems rely on overly restricted constructions or lack…

最优化与控制 · 数学 2026-04-13 Anne Auger , Dimo Brockhoff , Luka Opravš , Tea Tušar

We consider vector-quantized (VQ) transmission of compressed sensing (CS) measurements over noisy channels. Adopting mean-square error (MSE) criterion to measure the distortion between a sparse vector and its reconstruction, we derive…

信息论 · 计算机科学 2014-05-01 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

This paper proposes a verification-based decoding approach for reconstruction of a sparse signal with incremental sparse measurements. In its first step, the verification-based decoding algorithm is employed to reconstruct the signal with a…

信息论 · 计算机科学 2013-02-12 Xiaofu Wu , Zhen Yang , Lu Gan

This paper develops a new empirical Bayesian inference algorithm for solving a linear inverse problem given multiple measurement vectors (MMV) of under-sampled and noisy observable data. Specifically, by exploiting the joint sparsity across…

数值分析 · 数学 2021-03-30 Jiahui Zhang , Anne Gelb , Theresa Scarnati

The simultaneous orthogonal matching pursuit (SOMP) algorithm aims to find the joint support of a set of sparse signals acquired under a multiple measurement vector model. Critically, the analysis of SOMP depends on the maximal inner…

信息论 · 计算机科学 2016-10-14 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

We consider the problem of recovering an $N$-dimensional sparse vector $\vm{x}$ from its linear transformation $\vm{y}=\vm{D} \vm{x}$ of $M(< N)$ dimension. Minimizing the $l_{1}$-norm of $\vm{x}$ under the constraint $\vm{y} = \vm{D}…

信息论 · 计算机科学 2015-03-20 Yoshiyuki Kabashima , Mikko Vehkapera , Saikat Chatterjee

In this paper, we propose an alternating direction method of multipliers (ADMM)-based optimization algorithm to achieve better undersampling rate for multiple measurement vector (MMV) problem. The core is to introduce the $\ell_{2,0}$-norm…

信息论 · 计算机科学 2023-10-25 Zekun Liu , Siwei Yu

Recently non-convex optimization approaches for solving machine learning problems have gained significant attention. In this paper we explore non-convex boosting in classification by means of integer programming and demonstrate real-world…

机器学习 · 计算机科学 2020-02-13 Marc E. Pfetsch , Sebastian Pokutta

Motivation: With the growth of big data, variable selection has become one of the major challenges in statistics. Although many methods have been proposed in the literature their performance in terms of recall and precision are limited in a…

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

机器学习 · 计算机科学 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

This work addresses the recovery and demixing problem of signals that are sparse in some general dictionary. Involved applications include source separation, image inpainting, super-resolution, and restoration of signals corrupted by…

信息论 · 计算机科学 2017-03-24 Fei Wen , Lasith Adhikari , Ling Pei , Roummel F. Marcia , Peilin Liu , Robert C. Qiu

Signal recovery is one of the key techniques of Compressive sensing (CS). It reconstructs the original signal from the linear sub-Nyquist measurements. Classical methods exploit the sparsity in one domain to formulate the L0 norm…

信息论 · 计算机科学 2012-06-05 Yipeng Liu , Ivan Gligorijevic , Vladimir Matic , Maarten De Vos , Sabine Van Huffel

Kernel-based methods for support vector machines (SVM) have shown highly advantageous performance in various applications. However, they may incur prohibitive computational costs for large-scale sample datasets. Therefore, data reduction…

最优化与控制 · 数学 2021-04-27 Shenglong Zhou

We study an auto-calibration problem in which a transform-sparse signal is acquired via compressive sensing by multiple sensors in parallel, but with unknown calibration parameters of the sensors. This inverse problem has an important…

最优化与控制 · 数学 2025-10-29 Yuan Ni , Thomas Strohmer

Sparse Mixture of Experts (SMoE) has become the key to unlocking unparalleled scalability in deep learning. SMoE has the potential to exponentially increase parameter count while maintaining the efficiency of the model by only activating a…

机器学习 · 计算机科学 2024-10-21 Rachel S. Y. Teo , Tan M. Nguyen

This paper studies the problem of estimating the covariance of a collection of vectors using only highly compressed measurements of each vector. An estimator based on back-projections of these compressive samples is proposed and analyzed. A…

机器学习 · 统计学 2019-01-16 Martin Azizyan , Akshay Krishnamurthy , Aarti Singh

We investigate the problem of reconstructing signals from a subsampled convolution of their modulated versions and a known filter. The problem is studied as applies to specific imaging systems relying on spatial phase modulation by randomly…

信息论 · 计算机科学 2016-03-23 Sohail Bahmani , Justin Romberg

Sparsity promoting norms are frequently used in high dimensional regression. A limitation of such Lasso-type estimators is that the optimal regularization parameter depends on the unknown noise level. Estimators such as the concomitant…

机器学习 · 统计学 2020-09-04 Quentin Bertrand , Mathurin Massias , Alexandre Gramfort , Joseph Salmon

Linear regression with measurement error in the covariates is a heavily studied topic, however, the statistics/econometrics literature is almost silent to estimating a multi-equation model with measurement error. This paper considers a…

统计方法学 · 统计学 2020-06-15 Georges Bresson , Anoop Chaturvedi , Mohammad Arshad Rahman , Shalabh

Deep convolutional neural networks have achieved remarkable success in face recognition (FR), partly due to the abundant data availability. However, the current training benchmarks exhibit an imbalanced quality distribution; most images are…

计算机视觉与模式识别 · 计算机科学 2023-08-21 Sahar Rahimi Malakshan , Mohammad Saeed Ebrahimi Saadabadi , Nima Najafzadeh , Nasser M. Nasrabadi