Publications related to Ring of symmetric functions

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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

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

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

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

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

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

Sum-Rate Capacity for Symmetric Gaussian Multiple Access Channels With Feedback

Michael Christoph Gastpar, Erixhen Sula

The feedback sum-rate capacity is established for the symmetric

J

-user Gaussian multiple-access channel (GMAC). The main contribution is a converse bound that combines the dependence-balance argument of Hekstra and Willems (1989) with a variant of the f ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Sum-Rate Capacity for Symmetric Gaussian Multiple Access Channels With Feedback

Michael Christoph Gastpar, Erixhen Sula

The feedback sum-rate capacity is established for the symmetric

J

-user Gaussian multiple-access channel (GMAC). The main contribution is a converse bound that combines the dependence-balance argument of Hekstra and Willems (1989) with a variant of the f ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Ring of symmetric functions

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A Determinantal Identity for the Permanent of a Rank 2 Matrix

Variants of Homomorphism Polynomials Complete for Algebraic Complexity Classes

Optimal radial basis for density-based atomic representations

Interacting with Explanations through Critiquing

On arithmetic progressions in symmetric sets in finite field model

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

Generalization of the Haldane conjecture to SU(n) chains

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

Quasi-Rayleigh model for modeling hysteresis of piezoelectric actuators

Sum-Rate Capacity for Symmetric Gaussian Multiple Access Channels With Feedback

A Determinantal Identity for the Permanent of a Rank 2 Matrix

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

Quasi-Rayleigh model for modeling hysteresis of piezoelectric actuators

Sum-Rate Capacity for Symmetric Gaussian Multiple Access Channels With Feedback

On arithmetic progressions in symmetric sets in finite field model

Interacting with Explanations through Critiquing

Generalization of the Haldane conjecture to SU(n) chains

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

Variants of Homomorphism Polynomials Complete for Algebraic Complexity Classes

Optimal radial basis for density-based atomic representations