Sparse representations and compressive sampling approaches in engineering mechanics: A review of theoretical concepts and diverse applications
A review of theoretical concepts and diverse applications of sparse representations and
compressive sampling (CS) approaches in engineering mechanics problems is provided …
compressive sampling (CS) approaches in engineering mechanics problems is provided …
[LIVRE][B] An invitation to compressive sensing
This first chapter formulates the objectives of compressive sensing. It introduces the
standard compressive problem studied throughout the book and reveals its ubiquity in many …
standard compressive problem studied throughout the book and reveals its ubiquity in many …
Secure control systems: A quantitative risk management approach
Critical infrastructures must continuously operate safely and reliably, despite a variety of
potential system disturbances. Given their strict operating requirements, such systems are …
potential system disturbances. Given their strict operating requirements, such systems are …
High dimensional change point estimation via sparse projection
T Wang, RJ Samworth - Journal of the Royal Statistical Society …, 2018 - academic.oup.com
Change points are a very common feature of 'big data'that arrive in the form of a data stream.
We study high dimensional time series in which, at certain time points, the mean structure …
We study high dimensional time series in which, at certain time points, the mean structure …
Certifying the restricted isometry property is hard
This paper is concerned with an important matrix condition in compressed sensing known as
the restricted isometry property (RIP). We demonstrate that testing whether a matrix satisfies …
the restricted isometry property (RIP). We demonstrate that testing whether a matrix satisfies …
Computationally efficient robust sparse estimation in high dimensions
Many conventional statistical procedures are extremely sensitive to seemingly minor
deviations from modeling assumptions. This problem is exacerbated in modern high …
deviations from modeling assumptions. This problem is exacerbated in modern high …
The restricted isometry property of subsampled Fourier matrices
I Haviv, O Regev - Geometric Aspects of Functional Analysis: Israel …, 2017 - Springer
Abstract A matrix A ∈ C^ q * N satisfies the restricted isometry property of order k with
constant ε if it preserves the ℓ 2 norm of all k-sparse vectors up to a factor of 1±ε. We prove …
constant ε if it preserves the ℓ 2 norm of all k-sparse vectors up to a factor of 1±ε. We prove …
On isometry robustness of deep 3d point cloud models under adversarial attacks
While deep learning in 3D domain has achieved revolutionary performance in many tasks,
the robustness of these models has not been sufficiently studied or explored. Regarding the …
the robustness of these models has not been sufficiently studied or explored. Regarding the …
Theory and applications of compressed sensing
G Kutyniok - GAMM‐Mitteilungen, 2013 - Wiley Online Library
Compressed sensing is a novel research area, which was introduced in 2006, and since
then has already become a key concept in various areas of applied mathematics, computer …
then has already become a key concept in various areas of applied mathematics, computer …
A scale-invariant approach for sparse signal recovery
In this paper, we study the ratio of the L_1 and L_2 norms, denoted as L_1/L_2, to promote
sparsity. Due to the nonconvexity and nonlinearity, there has been little attention to this scale …
sparsity. Due to the nonconvexity and nonlinearity, there has been little attention to this scale …