Publications associées à Théorème fondamental des fonctions symétriques

K3 surfaces, cyclotomic polynomials and orthogonal groups

Let X be a complex projective K3 surface and let T-X be its transcendental lattice; the characteristic polynomials of isometries of T-X induced by automorphisms of X are powers of cyclotomic polynomials. Which powers of cyclotomic polynomials occur? The ai ...

Springer Int Publ Ag2024

A Determinantal Identity for the Permanent of a Rank 2 Matrix

Adam Wade Marcus

We prove an identity relating the permanent of a rank 2 matrix and the determinants of its Hadamard powers. When viewed in the right way, the resulting formula looks strikingly similar to an identity of Carlitz and Levine, suggesting the possibility that t ...

TAYLOR & FRANCIS INC2022

Optimal radial basis for density-based atomic representations

Michele Ceriotti, Sergey Pozdnyakov, Jigyasa Nigam, Félix Benedito Clément Musil, Alexander Jan Goscinski

The input of almost every machine learning algorithm targeting the properties of matter at the atomic scale involves a transformation of the list of Cartesian atomic coordinates into a more symmetric representation. Many of the most popular representations ...

AIP Publishing2021

Variants of Homomorphism Polynomials Complete for Algebraic Complexity Classes

Aditya Vardhan Varre

We present polynomial families complete for the well-studied algebraic complexity classes VF, VBP, VP, and VNP. The polynomial families are based on the homomorphism polynomials studied in the recent works of Durand et al. (2014) and Mahajan et al. (2018). ...

ASSOC COMPUTING MACHINERY2021

Interacting with Explanations through Critiquing

Boi Faltings, Claudiu-Cristian Musat, Diego Matteo Antognini

Using personalized explanations to support recommendations has been shown to increase trust and perceived quality. However, to actually obtain better recommendations, there needs to be a means for users to modify the recommendation criteria by interacting ...

2021

On arithmetic progressions in symmetric sets in finite field model

Jan Hazla

We consider two problems regarding arithmetic progressions in symmetric sets in the finite field (product space) model. First, we show that a symmetric set S subset of Z(q)(n) containing vertical bar S vertical bar = mu . q(n) elements must contain at leas ...

ELECTRONIC JOURNAL OF COMBINATORICS2020

Polynomial Evaluation on Superscalar Architecture, Applied to the Elementary Function e(x)

Felix Schürmann, Francesco Cremonesi, Timothée Ewart

The evaluation of small degree polynomials is critical for the computation of elementary functions. It has been extensively studied and is well documented. In this article, we evaluate existing methods for polynomial evaluation on superscalar architecture. ...

2020

Generalization of the Haldane conjecture to SU(n) chains

Frédéric Mila, Miklos Lajko

Recently, SU(3) chains in the symmetric and self-conjugate representations have been studied using field theory techniques. For certain representations, namely rank-psymmetric ones with pnot a multiple of 3, it was argued that the ground state exhibits gap ...

ELSEVIER2020

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Théorème fondamental des fonctions symétriques

K3 surfaces, cyclotomic polynomials and orthogonal groups

From Kernel Methods to Neural Networks: A Unifying Variational Formulation

A Determinantal Identity for the Permanent of a Rank 2 Matrix

Optimal radial basis for density-based atomic representations

Variants of Homomorphism Polynomials Complete for Algebraic Complexity Classes

Interacting with Explanations through Critiquing

On arithmetic progressions in symmetric sets in finite field model

Polynomial Evaluation on Superscalar Architecture, Applied to the Elementary Function e(x)

Generalization of the Haldane conjecture to SU(n) chains

Principal Component Analysis By Optimization Of Symmetric Functions Has No Spurious Local Optima

Graph Chatbot

Chattez avec Graph Search

K3 surfaces, cyclotomic polynomials and orthogonal groups

From Kernel Methods to Neural Networks: A Unifying Variational Formulation

Variants of Homomorphism Polynomials Complete for Algebraic Complexity Classes

Optimal radial basis for density-based atomic representations

Principal Component Analysis By Optimization Of Symmetric Functions Has No Spurious Local Optima

Generalization of the Haldane conjecture to SU(n) chains

A Determinantal Identity for the Permanent of a Rank 2 Matrix

On arithmetic progressions in symmetric sets in finite field model

Polynomial Evaluation on Superscalar Architecture, Applied to the Elementary Function e(x)

Interacting with Explanations through Critiquing