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Penalized regression for discrete structures

2015
Penalties are an established approach to stabilize estimation and to select predictors in regression models. Penalties are especially useful when discrete structures matter. In this thesis, the term "discrete structure" subsumes all kinds of categorical effects, categorical effect modifiers and group-specific effects for hierarchical settings. Discrete
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Geometry of Discrete Conformal Structures

Calculus of Variations and Partial Differential Equations
This paper continues an investigation into conformal structure on surfaces with boundaries that was initiated by \textit{X. Xu} and \textit{C. Zheng} [``Discrete conformal structures on surfaces with boundary (I) -- Classification'', Preprint, \url{arXiv:2401.05062}].
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Banach Algebras with a Discrete Structure Space

Mathematical Proceedings of the Royal Irish Academy, 2003
Let \(A\) be a semi-simple Banach algebra, \(\Gamma(A)\) the set of all closed two-sided ideals of \(A\), \(K^a\) the annihilator of \(K\in \Gamma (A)\) in \(A\) and \(\mathfrak{P}(A)\) the structure space (of primitive ideals) of \(A\). The author of the present article says that \(A\) is a bi-annihilator algebra if \(K^a\neq 0\) for all \(K\in \Gamma
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Connecting Discrete Structures and Python: Transforming Discrete Structures Education

International Journal of Advanced Multidisciplinary Research and Studies
This paper presents a Python-integrated framework for teaching Discrete Structures, focusing on bridging the gap between theoretical concepts and practical applications. The primary goals of this framework are to enhance student engagement, improve conceptual clarity, develop computational thinking, and provide real-world relevance to abstract topics ...
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Discrete Structural Optimization

Journal of the Structural Division, 1971
The application of discrete programming to structural optimization permits the use of tabulated section properties and eliminates the need for approximate relations, such as between weight and section modulus, which may obscure the optimal solution.
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Random Discrete Structures

1996
Probability distributions on cladograms.- Stability of self-organizing processes.- Some examples of normal approximations by Stein's method.- Large deviations for random distribution of mass.- Random minimax game tress.- Metrics on compositions and coincidences among renewal sequences.- The no long odd cycle theorem for completely positive matrices.- A
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Mechanically Durable Memristor Arrays Based on a Discrete Structure Design

Advanced Materials, 2022
Ting Wang, Liang Pan, Yaqing Liu
exaly  

Masonry Shell Structures With Discrete Equivalence Classes

ACM Transactions on Graphics, 2023
Bailin Deng, Ziqi Wang, Ying He
exaly  

A Novel Discrete Evidence Fusion Approach by Considering the Consistency of Belief Structures

Engineering Applications of Artificial Intelligence, 2020
Xinyang Deng, Jihao Yang
exaly  

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