Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Noncomplete affine structures on Lie algebras of maximal class
International Journal of Mathematics and Mathematical Sciences, 2002 Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
doaj +1 more source
Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning
Advanced Intelligent Discovery, EarlyView.Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang +4 more
wiley +1 more source
TurboBFS: GPU Based Breadth-First Search (BFS) Algorithms in the Language of Linear Algebra. [PDF]
IEEE Int Symp Parallel Distrib Process Workshops Phd Forum, 2021 Artiles O, Saeed F.
europepmc +1 more source
Advanced Intelligent Systems, EarlyView.This study proposes a deep learning approach to evaluate the fatigue crack behavior in metals under overload conditions. Using digital image correlation to capture the strain near crack tips, convolutional neural networks classify crack states as normal, overload, or recovery, and accurately predict fatigue parameters.
Seon Du Choi +5 more
wiley +1 more source
TurboBC: A Memory Efficient and Scalable GPU Based Betweenness Centrality Algorithm in the Language of Linear Algebra. [PDF]
Proc Int Workshops Parallel Proc, 2021 Artiles O, Saeed F.
europepmc +1 more source
Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions [PDF]
, 1959 Marvin Marcus, Roger Purves
openalex +1 more source
Robotic Arm‐Assisted Conformal 3D Printing of Displays for Structural Electronics
Advanced Intelligent Systems, EarlyView.This study presents a robotics‐enabled platform combining 3D scanning and a 6‐DOF robotic arm for conformal printing on complex non‐planar structures. By maintaining nozzle perpendicularity, the system enables high‐fidelity direct ink writing on steep sidewalls, spherical surfaces, successfully demonstrating a fully printed 7‐segment dynamic display ...
Chanbin Yoo +5 more
wiley +1 more source
A Soft Robotic Jellyfish with Decoupled Actuators for Agile 3D Locomotion
Advanced Intelligent Systems, EarlyView.This study presents a soft robotic jellyfish featuring a functionally decoupled actuation architecture. By separating propulsion, steering, and vertical regulation into independent modules, the robot overcomes conventional coupled‐motion limitations. Utilizing a passive‐valve‐based differential drag strategy and lateral water jets, it achieves agile 3D
Zhuoheng Li +6 more
wiley +1 more source
THE USES AND ABUSES OF AN AGE-PERIOD-COHORT METHOD: ON THE LINEAR ALGEBRA AND STATISTICAL PROPERTIES OF INTRINSIC AND RELATED ESTIMATORS. [PDF]
Math Found Comput, 2021 Fu Q +5 more
europepmc +1 more source