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While the recent theory of compressed sensing provides an opportunity to overcome the Nyquist limit in recovering sparse signals, a solution approach usually takes a form of inverse problem of the unknown signal, which is crucially…

Information Theory · Computer Science 2016-09-27 Jong Chul Ye , Jong Min Kim , Kyong Hwan Jin , Kiryung Lee

In this paper, we present and analyze a new set of low-rank recovery algorithms for linear inverse problems within the class of hard thresholding methods. We provide strategies on how to set up these algorithms via basic ingredients for…

Numerical Analysis · Computer Science 2013-01-15 Anastasios Kyrillidis , Volkan Cevher

The design of sub-arrayed phased arrays (PAs) with sub-array-only amplitude and phase controls that afford arbitrary-shaped power patterns matching reference ones is addressed. Such a synthesis problem is formulated in the power pattern…

Information Theory · Computer Science 2023-10-11 Arianna Benoni , Lorenzo Poli , Paolo Rocca , Andrea Massa

Applications such as Magnetic Resonance Tomography acquire imaging data by point samples of their Fourier transform. This raises the question of balancing the efficiency of the sampling strategies with the approximation accuracy of an…

Numerical Analysis · Mathematics 2015-10-20 Gitta Kutyniok , Wang-Q Lim

Nonnegative Matrix Factorization (NMF) models are widely used to recover linearly mixed nonnegative data. When the data is made of samplings of continuous signals, the factors in NMF can be constrained to be samples of nonnegative rational…

Signal Processing · Electrical Eng. & Systems 2023-05-31 Cécile Hautecoeur , Lieven De Lathauwer , Nicolas Gillis , François Glineur

Performance analysis of $l_0$ norm constrained Recursive least Squares (RLS) algorithm is attempted in this paper. Though the performance pretty attractive compared to its various alternatives, no thorough study of theoretical analysis has…

Information Theory · Computer Science 2016-02-11 Samrat Mukhopadhyay , Bijit Kumar Das , Mrityunjoy Chakraborty

We present a successive constraint approach that makes it possible to cheaply solve large-scale linear matrix inequalities for a large number of parameter values. The efficiency of our method is made possible by an offline/online…

Numerical Analysis · Mathematics 2017-08-08 Robert O'Connor

This preliminary note presents a heuristic for determining rank constrained solutions to linear matrix equations (LME). The method proposed here is based on minimizing a non-convex quadratic functional, which will hence-forth be termed as…

Optimization and Control · Mathematics 2018-09-10 Shravan Mohan

We propose a combined model, which integrates the latent factor model and the logistic regression model, for the citation network. It is noticed that neither a latent factor model nor a logistic regression model alone is sufficient to…

Machine Learning · Statistics 2019-12-03 Namjoon Suh , Xiaoming Huo , Eric Heim , Lee Seversky

This paper considers efficient sampling of simultaneously sparse and correlated (S$\&$C) signals. Such signals arise in various applications in array processing. We propose an implementable sampling architecture for the acquisition of…

Information Theory · Computer Science 2023-01-19 Ali Ahmed , Fahad Shamshad , Humera Hameed

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

We propose a new least squares finite element method to solve the Poisson equation. By using a piecewisely irrotational space to approximate the flux, we split the classical method into two sequential steps. The first step gives the…

Numerical Analysis · Mathematics 2024-12-20 Ruo Li , Fanyi Yang

We propose an efficient algorithm for solving group synchronization under high levels of corruption and noise, while we focus on rotation synchronization. We first describe our recent theoretically guaranteed message passing algorithm that…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Yunpeng Shi , Gilad Lerman

Low-Rank Factorization (LRF) is a widely adopted technique for compressing deep neural networks (DNNs). However, it faces several challenges, including optimal rank selection, a vast design space, long fine-tuning times, and limited…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 M. Kokhazadeh , G. Keramidas , V. Kelefouras

Nonnegative matrix factorization (NMF) is widely used for clustering with strong interpretability. Among general NMF problems, symmetric NMF is a special one that plays an important role in graph clustering where each element measures the…

Machine Learning · Computer Science 2023-11-07 Mengyuan Zhang , Kai Liu

In this paper the author proposes to use the Least Squares Lattice filter with forgetting factor to estimate time-varying parameters of the model for noise processes. We simulated an Auto-Regressive (AR) noise process in which we let the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Elena Cuoco

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

This paper presents an enhanced adaptive random Fourier features (ARFF) training algorithm for shallow neural networks, building upon the work introduced in "Adaptive Random Fourier Features with Metropolis Sampling", Kammonen et al.,…

Machine Learning · Computer Science 2025-05-01 Aku Kammonen , Anamika Pandey , Erik von Schwerin , Raúl Tempone

In this manuscript a factor graph approach is employed to investigate the recursive filtering problem for a mixed linear/nonlinear state-space model, i.e. for a model whose state vector can be partitioned in a linear state variable…

Statistics Theory · Mathematics 2016-07-29 Giorgio M. Vitetta , Emilio Sirignano , Francesco Montorsi , Matteo Sola

We propose a recursive lattice reduction framework for finding short non-zero vectors or dense sublattices of a lattice. The framework works by recursively searching for dense sublattices of dense sublattices (or their duals) with…

Data Structures and Algorithms · Computer Science 2025-04-22 Divesh Aggarwal , Thomas Espitau , Spencer Peters , Noah Stephens-Davidowitz