Results 41 to 50 of about 1,230 (193)
On Three Ehrhart Theories & Simplicial Hyperplane Arrangements [PDF]
, 2022 This dissertation presents recent contributions to two major topics in discrete geometry: Ehrhart theory and hyperplane arrangements. In Chapter 1, which is part of joint work with Donghyun Kim and Mariel Supina, we investigate equivariant Ehrhart theory,
Elia, Sophia
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Hyperplane arrangements associated to symplectic quotient singularities [PDF]
, 2018 We study the hyperplane arrangements associated, via the minimal model programme, to symplectic quotient singularities. We show that this hyperplane arrangement equals the arrangement of CM-hyperplanes coming from the representation theory of restricted ...
Schedler, Travis +2 more
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Freeness of Signed Graphic Arrangements
AxiomsFreeness occupies an important position in the study of hyperplane arrangements. In this paper, we conclude the freeness of three special classes of signed graphic arrangements based on the addition–deletion theorem and Abe’s free path theory.
Zhaoting Ju, Guangfeng Jiang, Weili Guo
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Odd Khovanov homology for hyperplane arrangements
, 2016 We define several homology theories for central hyperplane arrangements, categorifying well-known polynomial invariants including the characteristic polynomial, Poincaré polynomial, and Tutte polynomial.
Dancso, Zsuzsanna, Licata, Anthony
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Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
wiley +1 more source
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.
openaire +2 more sources
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
A blowup algebra for hyperplane arrangements [PDF]
Algebra & Number Theory, 2018 22 ...
Garrousian, Mehdi +2 more
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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
wiley +1 more source
A note on hyper-plane arrangements in R^d [PDF]
Discrete Mathematics Letters, 2021 Nhattrieu Duong +3 more
doaj +1 more source