Results 41 to 50 of about 1,716 (199)
Toral Arrangements and Hyperplane Arrangements
Rocky Mountain Journal of Mathematics, 1998 The author defines a toral arrangement to be a finite set \({\mathcal A}\) of characters of an algebraic torus \(T\). Such a set corresponds to an integral hyperplane arrangement \(d{\mathcal A}\) in the Lie algebra of the torus given by the kernels of the derivatives of the characters.
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Automatic Determination of Quasicrystalline Patterns from Microscopy Images
Advanced Intelligent Discovery, EarlyView.This work introduces a user‐friendly machine learning tool to automatically extract and visualize quasicrystalline tiling patterns from atomically resolved microscopy images. It uses feature clustering, nearest‐neighbor analysis, and support vector machines. The method is broadly applicable to various quasicrystalline systems and is released as part of
Tano Kim Kender +2 more
wiley +1 more source
Lattice Sums of Hyperplane Arrangements
, 2023 39 pages, 4 ...
Yasushi, Komori +2 more
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A blowup algebra for hyperplane arrangements [PDF]
Algebra & Number Theory, 2018 22 ...
Garrousian, Mehdi +2 more
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Optimal strong stationary times for random walks on the chambers of a hyperplane arrangement
, 2018 This paper studies Markov chains on the chambers of real hyperplane arrangements, a model that generalizes famous examples, such as the Tsetlin library and riffle shuffles.
Nestoridi, Evita
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Advanced Intelligent Discovery, EarlyView.Electrospinning allows the fabrication of fibrous 3D cotton‐wool‐like scaffolds for tissue engineering. Optimizing this process traditionally relies on trial‐and‐error approaches, and artificial intelligence (AI)‐based tools can support it, with the prediction of fiber properties. This work uses machine learning to classify and predict the structure of
Paolo D’Elia +3 more
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A branch statistic for trees: interpreting coefficients of the characteristic polynomial of braid deformations [PDF]
Enumerative Combinatorics and Applications, 2022 Priyavrat Deshpande, Krishna Menon
doaj +1 more source
Eigenvectors for a random walk on a hyperplane arrangement
, 2012 We find explicit eigenvectors for the transition matrix of the Bidigare–Hanlon–Rockmore random walk, from Bidigare et al. (1999) [1]. This is accomplished by using Brown and Diaconisʼ (1998) analysis in [3] of the stationary distribution, together with ...
Graham Denham, Denham, Graham
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Logarithmic discriminants of hyperplane arrangements
Le MatematicheA recurring task in particle physics and statistics is to compute the complex critical points of a product of powers of affine-linear functions. The logarithmic discriminant characterizes exponents for which such a function has a degenerate critical ...
Kayser, L., Telen, S., Kretschmer, A.
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Risk‐aware safe reinforcement learning for control of stochastic linear systems
Asian Journal of Control, EarlyView.Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili +2 more
wiley +1 more source