Results 41 to 50 of about 4,223,867 (200)
$q,t$-Fuß-Catalan numbers for complex reflection groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In type $A$, the $q,t$-Fuß-Catalan numbers $\mathrm{Cat}_n^{(m)}(q,t)$ can be defined as a bigraded Hilbert series of a module associated to the symmetric group $\mathcal{S}_n$.
Christian Stump
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Hilbert series, machine learning, and applications to physics
Physics Letters B, 2022 We describe how simple machine learning methods successfully predict geometric properties from Hilbert series (HS). Regressors predict embedding weights in projective space to ∼1 mean absolute error, whilst classifiers predict dimension and Gorenstein ...
Jiakang Bao +5 more
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Quiver theories and formulae for Slodowy slices of classical algebras
Nuclear Physics B, 2019 We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera +2 more
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Preserving Motor Features by Alternative Re‐Referencing to Remove Heart Artifact on the Stentrode
Advanced Science, EarlyView.Endovascular brain‐computer interfaces record neural activity from within cerebrovasculature, at the expense of electrocardiogram contamination. Band‐limited independent component analysis separates this heart‐based artifact from task‐relevant neural activity in each frequency band, enabling the reconstruction of cleaner neural recordings without the ...
Ariel K. Feldman +11 more
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Augmented Hilbert Series of Numerical Semigroups
Integers, 2018 See the abstract in the attached pdf.
Jeske Glenn +3 more
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Intrinsic Phonons as a Dynamic Control Knob for Catalytic Reactivity in 2D Materials
Advanced Science, EarlyView.Intrinsic phonon excitations are demonstrated to serve as a dynamic control knob for catalytic reactivity in 2D materials. Mode‐selective lattice vibrations reconstruct the electronic structure, lower oxygen evolution reaction barriers, establishing a phonon‐engineering paradigm for dynamically regulating electrocatalysis beyond conventional static ...
Kai Ren +5 more
wiley +1 more source
On right-angled spherical Artin monoid of type Dn
Open Physics, 2018 Recently Berceanu and Iqbal proved that the growth rate of all the spherical Artin monoids is bounded above by 4. In this paper we compute the Hilbert series of the right-angled spherical Artin monoid M(Dn∞)$\begin{array}{} M({D}^{\infty}_{n}) \end{array}
Iqbal Zaffar +4 more
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Computation of Hilbert-Poincaré series
Journal of Pure and Applied Algebra, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advanced Intelligent Discovery, EarlyView.In this study we employed support vector regressor and quantum support vector regressor to predict the hydrogen storage capacity of metal–organic frameworks using structural and physicochemical descriptors. This study presents a comparative analysis of classical support vector regression (SVR) and quantum support vector regression (QSVR) in predicting ...
Chandra Chowdhury
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Nested Hilbert Schemes and the nested $q,t$-Catalan series [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In this paper we study the tangent spaces of the smooth nested Hilbert scheme $\mathrm{Hilb}^{n,n-1}(\mathbb{A}^2)$ of points in the plane, and give a general formula for computing the Euler characteristic of a $\mathbb{T}^2$-equivariant locally free ...
Mahir Bilen Can
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