26 papers · ranked by Valyu relevance
Subhrajyoty Roy, Abhik Ghosh, Ayanendranath Basu
The traditional method of computing singular value decomposition (SVD) of a data matrix is based on a least squares principle, thus, is very sensitive to the presence of outliers. Hence the resulting inferences across different applications using the classical SVD are extremely degraded in the presence of data…
Julie Josse, Sylvain Sardy
To recover a low rank structure from a noisy matrix, truncated singular value decomposition has been extensively used and studied. Recent studies suggested that the signal can be better estimated by shrinking the singular values. We pursue this line of research and propose a new estimator offering a continuum of…
Christiane Ahlheim, Bradley C. Love
Recent advances in multivariate fMRI analysis stress the importance of information inherent to voxel patterns. Key to interpreting these patterns is estimating the underlying dimensionality of neural representations. Dimensions may correspond to psychological dimensions, such as length and orientation, or involve other…
J.-R. Chang, Joshua Cape
This paper studies fine-grained singular subspace estimation in the matrix denoising model where a deterministic low-rank signal matrix is additively perturbed by a stochastic matrix of Gaussian noise. We establish that the maximum Euclidean row norm (i.e., the two-to-infinity norm) of the aligned difference between…
Yingjie Zhu, Wuxiong Zhang, Huiyue Yi, Hui Xu + 3 more
'Grazia Lo Sciuto' 'Luca Di Nunzio'] In recent years, frequency-modulated continuous wave (FMCW) radar has been widely used in automatic driving, settlement monitoring and other fields. The range accuracy is determined by the estimation of the signal beat frequency. The existing algorithms are unable to distinguish…
Maike Meier, Yuji Nakatsukasa
Matrices with low-rank structure are ubiquitous in scientific computing. Choosing an appropriate rank is a key step in many computational algorithms that exploit low-rank structure. However, estimating the rank has been done largely in an ad-hoc fashion in previous studies. In this work we develop a randomized…
Shizhe Wang, Zongji Li, Pingbo Wang, Huadong Chen + 2 more
'Luca Fredianelli'] The accuracy of time delay estimation seriously affects the accuracy of sound source localization. In order to improve the accuracy of time delay estimation under the condition of low SNR, a delay estimation optimization algorithm based on singular value decomposition and improved GCC-PHAT weighting…
Xianbo Yin, Yang Xu, Xiaowei Sheng, Yan Shen
To suppress noise in signals, a denoising method called AIC-SVD is proposed on the basis of the singular value decomposition (SVD) and the Akaike information criterion (AIC). First, the Hankel matrix is chosen as the trajectory matrix of the signals, and its optimal number of rows and columns is selected according to…
Chang-Sheng Lin, Yi-Xiu Wu, Boulent Imam, Donya Hajializadeh + 1 more
'Ying Wang'] Conventional experimental modal analysis uses excitation and response information to estimate the frequency response function. However, many engineering structures face excitation signals that are difficult to measure, so output-only modal estimation is an important issue. In this paper, singular spectrum…
Mohammed Bakhit, Faizan A. Khattak, Ian K. Proudler, Stephan Weiss
Analytic Singular Values and Their Potential Algorithmic Extraction Authors: ['Mohammed Bakhit' 'Faizan A. Khattak' 'Ian K. Proudler' 'Stephan Weiss'] Abstract—A matrix of analytic functions A(z), such as the matrix of transfer functions in a multiple-input multiple-output (MIMO) system, generally admits an analytic…
Arni Sturluson, Melanie T. Huynh, Arthur H. P. York, Cory Simon
Porous organic cage molecules harbor nano-sized cavities that can selectively adsorb gas molecules, lending them applications in separations and sensing. The geometry of the cavity strongly influences adsorptive selectivity.For comparing cages and predicting their adsorption properties, we embed/ encode the cavities of…
Arni Sturluson, Melanie T. Huynh, Arthur H. P. York, Cory Simon
Porous organic cage molecules harbor nano-sized cavities that can selectively adsorb gas molecules, lending them applications in separations and sensing. The geometry of the cavity strongly influences adsorptive selectivity.For comparing cages and predicting their adsorption properties, we embed/ encode the cavities of…
Charles Eads
This report describes and illustrates a set of automatable multicomponent exponential relaxation analysis protocols that are model-agnostic and suited to extracting information under circumstances when little prior knowledge about the underlying system is used. Methods are illustrated and mathematical and physical…
Hui Cao, Qi Liu
—In this paper, an accurate direction-of-arrival (DOA) estimator is developed based on the real-valued singular value decomposition (SVD) of covariance matrix. Unitary transform on the complex-valued covariance matrix is first applied, and then SVD performs on the resulting real-valued data matrix. The singular vector…
Ge Zhang, Henri Leroy, Nabil Haidour, Nicolas Zucker + 10 more
Ultrafast nonlinear ultrasound imaging of gas vesicles (GV) contrast agents promises high-sensitivity biomolecular visualization with applications such as targeted molecular imaging of tumor markers or real-time tracking of gene expression. However, separating GV-specific signal from tissue remains challenging and…
Y-h. Taguchi, Turki Turki
Identifying differentially expressed genes is difficult because of the small number of available samples compared with the large number of genes. Conventional gene selection methods employing statistical tests have the critical problem of heavy dependence of P-values on sample size. Although the recently proposed…
Eric Hermes, Khachik Sargsyan, Habib Najm, Judit Zádor
We present a new algorithm for the optimization of molecular structures to saddle points on the potential energy surface using a redundant internal coordinate system. This algorithm automates the procedure of defining the internal coordinate system, including the handling of linear bending angles, e.g. through the…
Kevin Z. Lin, Jing Lei, Kathryn Roeder
Scientists often embed cells into a lower-dimensional space when studying single-cell RNA-seq data for improved downstream analyses such as developmental trajectory analyses, but the statistical properties of such non-linear embedding methods are often not well understood. In this article, we develop the eSVD…
Yue Wang, Timothy W Randolph, Ali Shojaie, Jing Ma
Exploratory analysis of human microbiome data is often based on dimension-reduced graphical displays derived from similarities based on non-Euclidean distances, such as UniFrac or Bray-Curtis. However, a display of this type, often referred to as the principal coordinate analysis (PCoA) plot, does not reveal which taxa…
Ji-An Luo, Xiao-Ping Zhang, Zhi Wang
Wideband sparse spectral estimation is generally formulated as a multi-dictionary/multi-measurement (MD/MM) problem which can be solved by using group sparsity techniques. In this paper, the MD/MM problem is reformulated as a single sparse indicative vector (SIV) recovery problem at the cost of introducing an…
Authors not listed
Purpose: The transmission Fourier-transform infrared (FTIR) spectrum contains complexed signals for molecular structures and intermolecular interactions. Their interrelated signals were attempted to be recognized using the singular value decomposition (SVD) procedure. Methods: Cimetidine (CIM) and indomethacin (INM)…
Murdifi Muhammad, Minghui Li, Qammer Abbasi, Cindy Goh + 3 more
Achieving accurate single snapshot direction of arrival (DOA) information significantly improves communication performance. This paper investigates an accurate and high-resolution DOA estimation technique by enabling single snapshot data collection and enhancing DOA estimation results compared to multiple snapshot…
Yuan Wang, Xianpeng Wang, Ting Su, Yuehao Guo + 2 more
'Andrzej Stateczny'] In this paper, we introduce a Reduced-Dimension Multiple-Signal Classification (RD-MUSIC) technique via Higher-Order Orthogonal Iteration (HOOI), which facilitates the estimation of the target range and angle for Frequency-Diverse Array Multiple-Input-Multiple-Output (FDA-MIMO) radars in the…
Pier Paolo Poir, Louis Lagardère, Jean-Philip Piquemal
We propose a new strategy to solve the Tkatchenko-Scheffler Many-Body Dispersion (MBD) model’s equations. Our approach overcomes the original O(N**3) computational complexity that limits its applicability to large molecular systems within thecontext of O(N) Density Functional Theory (DFT). First, in order to generate…
Pier Paolo Poier, Louis Lagardère, Jean-Philip Piquemal
We propose a new strategy to solve the Tkatchenko-Scheffler Many-Body Dispersion (MBD) model’s equations. Our approach overcomes the original O(N**3) computational complexity that limits its applicability to large molecular systems within thecontext of O(N) Density Functional Theory (DFT). First, in order to generate…
Calvin Guan, Ashis Gangopadhyay
Although there are many methods available in the literature to compare the covariance structures of two populations, few are suitable for clinical application due to the inability to account for covariate(s) that affect the dependence structure of the variables being investigated. A common method is to adjust the…