Sparse representations and compressive sampling approaches in engineering mechanics: A review of theoretical concepts and diverse applications

• Published in: Probabilistic engineering mechanics Vol. 61; p. 103082
• Main Authors: Kougioumtzoglou, Ioannis A., Petromichelakis, Ioannis, Psaros, Apostolos F.
• Format: Journal Article
• Language: English
• Published: Barking Elsevier Ltd 01.07.2020; Elsevier Science Ltd
• Subjects: Algorithms; Bayesian analysis; Compressive sampling; Computer simulation; Engineering mechanics; Incomplete data; Inverse problems; Iterative methods; Machine learning; Optimization; R&D; Representations; Research & development; Sampling; Sparse representations; Sparsity; Structural health monitoring; Uncertainty; Uncertainty quantification; Uncertainty quantification; Incomplete data; Engineering mechanics; Sparse representations; Compressive sampling

A review of theoretical concepts and diverse applications of sparse representations and compressive sampling (CS) approaches in engineering mechanics problems is provided from a broad perspective. First, following a presentation of well-established CS concepts and optimization algorithms, attention...