Asymptotic Behavior of the Maximum Entropy Routing in Computer Networks by Milan Tuba

“…Maximum entropy method has been successfully used for underdetermined systems. Network design problem, with routing and topology subproblems, is an underdetermined system and a good candidate for maximum entropy method application. …”
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Double descent in the condition number by Poggio, Tomaso, Kur, Gil, Banburski, Andrzej

“…An overdetermined system (n>d) and especially an underdetermined system (n<d), for which the pseudoinverse must be used instead of the inverse, typically have significantly better, that is lower, condition numbers. …”
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Implicit regularization for optimal sparse recovery by Vaškevičius, T, Kanade, V, Rebeschini, P

“…We investigate implicit regularization schemes for gradient descent methods applied to unpenalized least squares regression to solve the problem of reconstructing a sparse signal from an underdetermined system of linear measurements under the restricted isometry assumption. …”

Fourth-Order Spline Methods For Solving Nonlinear Schrödinger Equation by Ahmad, Azhar

“…Since the methods result in an underdetermined system, the supplementary initial and boundary conditions are used to solve the system. …”
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Direction finding by sparse‐based approach for dual‐polarised conformal array in the presence of gain and phase uncertainties by Chao Liu, Lei Zhang, Junjie Qian, Xiaoyuan Zhang

“…A Dual‐Polarised Regularised Multiple FOCal Underdetermined System Solver is proposed to estimate the 2‐D DOA for the dual‐polarised conformal array. …”
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Improved resolving capabilities of linear array using 2qth order non‐circular statistics by Payal Gupta, Monika Agrawal

“…This large aperture provides highest degrees of freedom to solve the underdetermined system. In the case of non‐circular signals, pseudo‐covariances/cumulants are significant, and this additional information can further be used to increase the virtual array aperture. …”
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Performance Comparisons of Greedy Algorithms in Compressed Sensing by Blanchard, J, Tanner, J

“…Compressed sensing has motivated the development of numerous sparse approximation algorithms designed to return a solution to an underdetermined system of linear equations where the solution has the fewest number of nonzeros possible, referred to as the sparsest solution. …”

Least Square Based Iteration Approach for Agricultural Soil Moisture Retrieval Using Multi-Sensor Data by Xiang Zhang, Xinming Tang, Xiaoming Gao, Hui Zhao

“…Then, against the underdetermined system for soil moisture retrieval, the advanced integral equation model and calibrated integral equation model were integrated to construct soil moisture retrieval scheme in combination with multi-sensor SAR observations. …”
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On the number of Hadamard matrices via anti-concentration by Ferber, Asaf, Jain, Vishesh, Zhao, Yufei

“…Many problems in combinatorial linear algebra require upper bounds on the number of solutions to an underdetermined system of linear equations Ax=b , where the coordinates of the vector x are restricted to take values in some small subset (e.g. {±1} ) of the underlying field. …”
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Performance comparisons of greedy algorithms in compressed sensing by Blanchard, J, Tanner, J

“…Compressed sensing has motivated the development of numerous sparse approximation algorithms designed to return a solution to an underdetermined system of linear equations where the solution has the fewest number of nonzeros possible, referred to as the sparsest solution. …”

EpiReSIM: A Resampling Method of Epistatic Model without Marginal Effects Using Under-Determined System of Equations by Junliang Shang, Xinrui Cai, Tongdui Zhang, Yan Sun, Yuanyuan Zhang, Jinxing Liu, Boxin Guan

“…Introducing the complete orthogonal decomposition method and Newton’s method, EpiReSIM calculates the solution of the underdetermined system of equations to obtain the eNME model, especially the solution of the high-order model, which is the highlight of EpiReSIM. …”
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A robust and stable gene selection algorithm based on graph theory and machine learning by Subrata Saha, Ahmed Soliman, Sanguthevar Rajasekaran

“…Like any other phenotype data in medical domain, gene expression data with phenotypes also suffer from being a very underdetermined system. In a very large set of features but a very small sample size domain (e.g. …”
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Random matching pursuit for image watermarking by Hua, Guang, Zhao, Lifan, Zhang, Haijian, Bi, Guoan, Xiang, Yong

“…The classical solution to an underdetermined system of linear equations mainly has two opposite directions, which lead to either a large ℓ 2 -norm sparse solution or a non-sparse minimum ℓ 2 -norm solution. …”
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When Compressive Sensing Meets Data Hiding by Hua, Guang, Xiang, Yong, Bi, Guoan

“…Unlike the conventional orthonormal full-space dictionary, the over-complete dictionary produces an underdetermined system with infinite transform results. We first discuss the minimum norm formulation (ℓ2-norm) which yields a closed-form solution and the concept of watermark projection, so that higher embedding capacity and an additional privacy preserving feature can be obtained. …”
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Performance comparisons of greedy algorithms in compressed sensing by Blanchard, J, Tanner, J

“…Compressed sensing has motivated the development of numerous sparse approximation algorithms designed to return a solution to an underdetermined system of linear equations where the solution has the fewest number of nonzeros possible, referred to as the sparsest solution. …”

A Computational model for compressed sensing RNAi cellular screening by Tan Hua, Fan Jing, Bao Jiguang, Dy Jennifer G, Zhou Xiaobo

“…Mathematically this problem involves an underdetermined system of equations (linear or nonlinear), which is ill-posed in general. …”
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Method of Range Ambiguity Suppression Combining Sparse Reconstruction and Matched Filter by Meng Qi, Lijia Huang, Xiaochen Wang, Jie Li, Bingchen Zhang

“…When the ambiguity energy is relatively strong, the focal underdetermined system solver algorithm can get better results than the classical orthogonal matching pursuit algorithm. …”
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Numerical Computation-Based Position Estimation for QR Code Object Marker: Mathematical Model and Simulation by Mooi Khee Teoh, Kenneth T. K. Teo, Hou Pin Yoong

“…The three-dimensional (3D) positional information can be extracted from the underdetermined system using the QR code’s four vertices as positioning points. …”
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Acquisition and reconstruction techniques for improving rapid magnetic resonance imaging with applications in fetal imaging by Arefeen, Yamin I.(Yamin Ishraq)

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Splines For Two-Dimensional Partial Differential Equations by Abd Hamid, Nur Nadiah

“…By adding the initial and boundary conditions, an underdetermined system of linear equations results. This system is then solved using the method of Least Squares. …”
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